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    <identity>
      <id>3aaa6aeb-66d8-49f6-b5f7-a1463f90da18</id>
      <revision>165</revision>
    </identity>
    <metadata lang="eng">
      <title>Beam FEA with interactive preprocessor</title>
      <author>Martin Kraska</author>
      <description>2D horizontal beam finite element analysis with exact representation of trapezoidal distributed loads. Features am interactive preprocessor and graphic and tabular output</description>
      <company>FHB</company>
    </metadata>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
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  <region id="0" top="9" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>Templates</p>
      </title>
    </area>
    <region id="1" left="18" top="27" width="420" height="102" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">beam</e>
          <e type="operand" style="string">beam</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">5</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="12">mat</e>
          <e type="operand" style="string">black</e>
          <e type="operand">1</e>
          <e type="operand" style="string">lightgray</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand">1</e>
          <e type="operand">100</e>
          <e type="operand">10</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="2" left="558" top="27" width="187" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>These are the objectsthat can be placed in the modeller regionto define the model.</p>
      </text>
    </region>
    <region id="3" left="18" top="126" width="461" height="124" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">s</e>
          <e type="function" args="1">force</e>
          <e type="operand" style="string">force</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">0.2</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="operand">40</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
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      <math>
        <input>
          <e type="operand">support</e>
          <e type="operand" style="string">constraint w=w.0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand" style="string">black</e>
          <e type="operand">1</e>
          <e type="operand" style="string">white</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="operand">10</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="5" left="18" top="324" width="510" height="86" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">sym</e>
          <e type="operand" style="string">constraint φ=0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand" style="string">black</e>
          <e type="operand">2</e>
          <e type="operand" style="string">white</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand" style="string">#00000000</e>
          <e type="operand">0</e>
          <e type="operand" style="string">00000000</e>
          <e type="operand">2</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="operand">30</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="6" left="18" top="405" width="545" height="84" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">I</e>
          <e type="operand">J</e>
          <e type="function" args="2">dist</e>
          <e type="operand" style="string">distributed load</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">I</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">J</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">0</e>
          <e type="operand" style="string">#550000ff</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand">1</e>
          <e type="operand">50</e>
          <e type="operand">20</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="7" left="18" top="495" width="349" height="94" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">φ.1</e>
          <e type="operand">φ.2</e>
          <e type="function" args="2">arc</e>
          <e type="operand">a</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">matrix</e>
          <e type="operator" args="2">:</e>
          <e type="operand">φ</e>
          <e type="operand">φ.1</e>
          <e type="operand">φ.2</e>
          <e type="operand">φ.1</e>
          <e type="operand">30</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operand">a</e>
          <e type="operand">a</e>
          <e type="operand">φ</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">φ</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">a</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="8" left="18" top="585" width="519" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">circle</e>
          <e type="operand" style="string">hinge</e>
          <e type="operand">0</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operand">360</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="2">arc</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operand" style="string">black</e>
          <e type="operand">0</e>
          <e type="operand" style="string">white</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="operand">10</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="9" left="18" top="630" width="536" height="232" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">s</e>
          <e type="function" args="1">moment</e>
          <e type="operand" style="string">moment</e>
          <e type="operand">s</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">s</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand" style="string">#00000000</e>
          <e type="operand">s</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0.8</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.2</e>
          <e type="operand">0.8</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.8</e>
          <e type="operand">s</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="bracket">(</e>
          <e type="operand">s</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0.8</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.2</e>
          <e type="operand">0.8</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.8</e>
          <e type="operand">1</e>
          <e type="operand">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">2</e>
          <e type="operand" style="string">blue</e>
          <e type="operand">3</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="14">mat</e>
          <e type="operand">1</e>
          <e type="operand">30</e>
          <e type="operand">30</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="10" left="18" top="864" width="176" height="220" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Vorlage</e>
          <e type="operand">beam</e>
          <e type="operand">support</e>
          <e type="operand">sym</e>
          <e type="operand">circle</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" args="2">dist</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="function" args="2">dist</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="function" args="2">dist</e>
          <e type="operand">1</e>
          <e type="function" args="1">force</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="1">force</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="1">moment</e>
          <e type="operand">1</e>
          <e type="function" args="1">moment</e>
          <e type="operand">11</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="13">sys</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="11" left="333" top="864" width="76" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.beam</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="12" left="423" top="864" width="76" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.fpos</e>
          <e type="operand">8</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="13" left="558" top="864" width="172" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Set "Vorlage" as template in the context menu of the modeler region.</p>
      </text>
    </region>
    <region id="14" left="333" top="891" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.cw</e>
          <e type="operand">2</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="15" left="423" top="891" width="76" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.fneg</e>
          <e type="operand">9</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="16" left="333" top="918" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.cφ</e>
          <e type="operand">3</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="17" left="423" top="918" width="84" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.mpos</e>
          <e type="operand">10</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="18" left="333" top="945" width="85" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.hinge</e>
          <e type="operand">4</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="19" left="423" top="945" width="84" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.mneg</e>
          <e type="operand">11</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="20" left="558" top="945" width="192" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>The items in the modelare identified bytemplate number.</p>
      </text>
    </region>
    <region id="21" left="333" top="972" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.qq</e>
          <e type="operand">5</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="22" left="333" top="999" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.q0</e>
          <e type="operand">6</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="23" left="333" top="1026" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.0q</e>
          <e type="operand">7</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="24" top="1071" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
    <region id="25" top="1089" color="#000000" bgColor="#ffffff">
      <area collapsed="true">
        <title lang="eng">
          <p>preprocessing</p>
        </title>
      </area>
      <region id="26" left="18" top="1107" width="821" height="2536" color="#000000" bgColor="#ffffff" fontSize="10">
        <math optimize="2">
          <description active="true" position="Top" lang="eng">
            <p>BeamPre(Mout,E,N) Beam FEA preprocessing. Mout: Modeller output, E,N: element  and node tables for the solver BeamSol() </p>
          </description>
          <input>
            <e type="operand">model</e>
            <e type="operand">E#</e>
            <e type="operand">N#</e>
            <e type="function" args="3">BeamPre</e>
            <e type="operand">t</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="1">time</e>
            <e type="operator" args="2">:</e>
            <e type="operand">E#</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">N#</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">build EI(x) and create nodes at beam ends</e>
            <e type="operand">beams</e>
            <e type="operand">model</e>
            <e type="operand">t.beam</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">EI</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">nodes</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="2">matrix</e>
            <e type="operator" args="2">:</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">beams</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">x.1</e>
            <e type="operand">beams</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">beams</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">:</e>
            <e type="operand">x.2</e>
            <e type="operand">beams</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">beams</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">EI</e>
            <e type="operand">EI</e>
            <e type="operand">beams</e>
            <e type="operand">j</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand" preserve="false" style="unit">EI</e>
            <e type="operator" args="2">*</e>
            <e type="operand">x.1</e>
            <e type="operand">x</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operand">x</e>
            <e type="operand">x.2</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">&amp;</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">nodes</e>
            <e type="operand">nodes</e>
            <e type="operand">x.1</e>
            <e type="operand">x.2</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="6">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">x</e>
            <e type="function" args="1">EI</e>
            <e type="operand">EI</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">build q(x) and create nodes at distributed load ends</e>
            <e type="operand">q</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">items</e>
            <e type="operand">t.qq</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">t.q0</e>
            <e type="operand">1</e>
            <e type="operand">0</e>
            <e type="operand">t.0q</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="operand">3</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="11">mat</e>
            <e type="operator" args="2">:</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="operand">items</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">dist</e>
            <e type="operand">model</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">dist</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≠</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">dist</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">x.1</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">:</e>
            <e type="operand">x.2</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">q</e>
            <e type="operand">q</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand" preserve="false" style="unit">q.0</e>
            <e type="operator" args="2">*</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">x</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operand">x.2</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">/</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">x.2</e>
            <e type="operand">x</e>
            <e type="operator" args="2">-</e>
            <e type="operand">x.2</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand">x.1</e>
            <e type="operand">x</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operand">x</e>
            <e type="operand">x.2</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">&amp;</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">nodes</e>
            <e type="operand">nodes</e>
            <e type="operand">x.1</e>
            <e type="operand">x.2</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="6">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">x</e>
            <e type="function" args="1">q</e>
            <e type="operand">q</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">nodal items (make sure that there are nodes at these positions)</e>
            <e type="operand">k</e>
            <e type="operand">t.cw</e>
            <e type="operand">t.cφ</e>
            <e type="operand">t.hinge</e>
            <e type="operand">t.fpos</e>
            <e type="operand">t.fneg</e>
            <e type="operand">t.mpos</e>
            <e type="operand">t.mneg</e>
            <e type="operand">1</e>
            <e type="operand">7</e>
            <e type="function" preserve="true" args="9">mat</e>
            <e type="operand">items</e>
            <e type="operand">model</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">items</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≠</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">items</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">nodes</e>
            <e type="operand">nodes</e>
            <e type="operand">items</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand" style="string">merge identical nodes</e>
            <e type="operand">tol</e>
            <e type="operand">0.05</e>
            <e type="operator" args="2">:</e>
            <e type="operand">nsort</e>
            <e type="operand">nodes</e>
            <e type="function" preserve="true" args="1">sort</e>
            <e type="operator" args="2">:</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="operator" args="2">:</e>
            <e type="operand">N#</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">nsort</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">N#</e>
            <e type="operand">1</e>
            <e type="operand">7</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="operand">nsort</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">N#</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">nsort</e>
            <e type="operand">j</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operator" args="2">-</e>
            <e type="function" preserve="true" args="1">abs</e>
            <e type="operand">tol</e>
            <e type="operator" args="2">&gt;</e>
            <e type="operand">k</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">N#</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">nsort</e>
            <e type="operand">j</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">line</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">x</e>
            <e type="function" args="1">n.N</e>
            <e type="operand" style="string">node number for a given x value</e>
            <e type="operand">nn</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">N#</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">x</e>
            <e type="operand">N#</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operator" args="2">-</e>
            <e type="function" preserve="true" args="1">abs</e>
            <e type="operand">tol</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">nn</e>
            <e type="operand">j</e>
            <e type="operator" args="2">:</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">nn</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="6">line</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">create elements. Mitigate zero stiffness to a low value</e>
            <e type="operand">E#</e>
            <e type="operand">0</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">matrix</e>
            <e type="operator" args="2">:</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">N#</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="operand">1</e>
            <e type="operator" args="2">-</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">EI.e</e>
            <e type="operand">N#</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">N#</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operator" args="2">+</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operator" args="2">+</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="function" args="1">EI</e>
            <e type="operand">0.0000001</e>
            <e type="operand" preserve="false" style="unit">EI</e>
            <e type="operator" args="2">*</e>
            <e type="operand">1</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="4">mat</e>
            <e type="function" preserve="true" args="1">max</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">q.I</e>
            <e type="operand">N#</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">tol</e>
            <e type="operator" args="2">+</e>
            <e type="function" args="1">q</e>
            <e type="operator" args="2">:</e>
            <e type="operand">q.J</e>
            <e type="operand">N#</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operator" args="2">+</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">tol</e>
            <e type="operator" args="2">-</e>
            <e type="bracket">(</e>
            <e type="function" args="1">q</e>
            <e type="operator" args="2">:</e>
            <e type="operand">EI.e</e>
            <e type="operand">0</e>
            <e type="operator" args="2">&gt;</e>
            <e type="operand">E#</e>
            <e type="operand">E#</e>
            <e type="operand">j</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operator" args="2">+</e>
            <e type="operand">EI.e</e>
            <e type="operand">q.I</e>
            <e type="operand">q.J</e>
            <e type="operand">1</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="7">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="6">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand" style="string">add nodal items: template nr, N column, value</e>
            <e type="operand">items</e>
            <e type="operand">t.cw</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="operand" style="string">w constraint flag</e>
            <e type="operand">t.cw</e>
            <e type="operand">5</e>
            <e type="operand">item</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operator" args="1">-</e>
            <e type="operand" style="string">w constraint value</e>
            <e type="operand">t.cφ</e>
            <e type="operand">6</e>
            <e type="operand">1</e>
            <e type="operand" style="string">φ constraint flag</e>
            <e type="operand">t.fpos</e>
            <e type="operand">2</e>
            <e type="operand">item</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operand" style="string">F value</e>
            <e type="operand">t.fneg</e>
            <e type="operand">2</e>
            <e type="operand">item</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operator" args="1">-</e>
            <e type="operand" style="string">F value </e>
            <e type="operand">t.mpos</e>
            <e type="operand">3</e>
            <e type="operand">item</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operand">item</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand" style="string">M value</e>
            <e type="operand">t.mneg</e>
            <e type="operand">3</e>
            <e type="operand">item</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operand">item</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="operator" args="1">-</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand" style="string">M value</e>
            <e type="operand">7</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="30">mat</e>
            <e type="operator" args="2">:</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="operand">items</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">tmp</e>
            <e type="operand">model</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">tmp</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≠</e>
            <e type="operand">1</e>
            <e type="operand">continue</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">tmp</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">item</e>
            <e type="operand">tmp</e>
            <e type="operand">j</e>
            <e type="function" preserve="true" args="2">row</e>
            <e type="operator" args="2">:</e>
            <e type="operand">item</e>
            <e type="function" preserve="true" args="1">trace</e>
            <e type="operand">n</e>
            <e type="operand">item</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="1">n.N</e>
            <e type="operator" args="2">:</e>
            <e type="operand">pos</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operator" args="2">:</e>
            <e type="operand">value</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operator" args="2">:</e>
            <e type="operand">N#</e>
            <e type="operand">n</e>
            <e type="operand">pos</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">value</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">6</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="8">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">3</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="5">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand" style="string">add hinges</e>
            <e type="operand">hinges</e>
            <e type="operand">model</e>
            <e type="operand">t.hinge</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">hinges</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≠</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">hinges</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">n</e>
            <e type="operand">hinges</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="function" args="1">n.N</e>
            <e type="operator" args="2">:</e>
            <e type="operand">tmp</e>
            <e type="operand">1</e>
            <e type="operand">E#</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">E#</e>
            <e type="function" preserve="true" args="2">augment</e>
            <e type="operator" args="2">:</e>
            <e type="operand">er</e>
            <e type="operand">tmp</e>
            <e type="operand">n</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">add new node at the same location</e>
            <e type="operand">N#</e>
            <e type="operand">N#</e>
            <e type="operand">hinges</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="operand">7</e>
            <e type="function" preserve="true" args="9">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="operator" args="2">:</e>
            <e type="operand">n.h</e>
            <e type="operand">N#</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">add hinge element (type is recognized by zero lenght in FEA)</e>
            <e type="operand">n</e>
            <e type="operand">n.h</e>
            <e type="operand" preserve="false" style="unit">EI</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="7">mat</e>
            <e type="function" preserve="true" args="1">trace</e>
            <e type="operand">E#</e>
            <e type="operand">E#</e>
            <e type="operand">n</e>
            <e type="operand">n.h</e>
            <e type="operand" preserve="false" style="unit">EI</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="7">mat</e>
            <e type="function" preserve="true" args="2">stack</e>
            <e type="function" preserve="true" args="1">eval</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">modify element to the right</e>
            <e type="operand">E#</e>
            <e type="operand">er</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">n.h</e>
            <e type="operator" args="2">:</e>
            <e type="operand">11</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="13">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="1">time</e>
            <e type="operand">t</e>
            <e type="operator" args="2">-</e>
            <e type="operand">34</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="36">line</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="27" left="0" top="3699" width="740" height="421" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">model</e>
            <e type="function" args="1">qPlot</e>
            <e type="operand">t</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="1">time</e>
            <e type="operator" args="2">:</e>
            <e type="operand" style="string">build q(x) and create nodes at distributed load ends</e>
            <e type="operand">q</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">items</e>
            <e type="operand">t.qq</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">t.q0</e>
            <e type="operand">1</e>
            <e type="operand">0</e>
            <e type="operand">t.0q</e>
            <e type="operand">0</e>
            <e type="operand">1</e>
            <e type="operand">3</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="11">mat</e>
            <e type="operator" args="2">:</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="operand">items</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">dist</e>
            <e type="operand">model</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="3">findrows</e>
            <e type="operator" args="2">:</e>
            <e type="operand">dist</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≠</e>
            <e type="operand">j</e>
            <e type="operand">1</e>
            <e type="operand">dist</e>
            <e type="function" preserve="true" args="1">rows</e>
            <e type="function" preserve="true" args="2">range</e>
            <e type="operand">x.1</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">:</e>
            <e type="operand">x.2</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">2</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">q</e>
            <e type="operand">q</e>
            <e type="operand">dist</e>
            <e type="operand">j</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand" preserve="false" style="unit">q.0</e>
            <e type="operator" args="2">*</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">x</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operand">x.2</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">/</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand">items</e>
            <e type="operand">k</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="3">el</e>
            <e type="operand">x.2</e>
            <e type="operand">x</e>
            <e type="operator" args="2">-</e>
            <e type="operand">x.2</e>
            <e type="operand">x.1</e>
            <e type="operator" args="2">-</e>
            <e type="operator" args="2">/</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand">x.1</e>
            <e type="operand">x</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operand">x</e>
            <e type="operand">x.2</e>
            <e type="operator" args="2">≤</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">&amp;</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operator" args="2">:</e>
            <e type="operand">3</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="5">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">0</e>
            <e type="function" preserve="true" args="3">if</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">line</e>
            <e type="function" preserve="true" args="3">for</e>
            <e type="operand">x</e>
            <e type="function" args="1">q</e>
            <e type="operand">q</e>
            <e type="operator" args="2">:</e>
            <e type="operand">6</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="8">line</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="28" top="4176" color="#000000" bgColor="#ffffff">
        <area terminator="true" />
      </region>
      <region id="29" top="4203" color="#000000" bgColor="#ffffff">
        <area collapsed="true">
          <title lang="eng">
            <p>Solution</p>
          </title>
        </area>
        <region id="30" left="18" top="4230" width="1625" height="2601" color="#000000" bgColor="#ffffff" fontSize="10">
          <math optimize="2">
            <description active="true" position="Top" lang="eng">
              <p>BeamSol(N,E,Nres,Eres) Beam FEA solver. N,E node and element matrices. Each line in N has the entries(x, F, M, w-flag, w-value, φ-flag, φ-value). Flags=1 means constraint to given value. Each line in E has the entries (I, J, EI, qI, qJ). Zero length elements are hinges with w-stiffnes EI.Nres are nodal results (x, w, φ, F, M, RF, RM), Eres are element results for plotting with the columns (x, q, Q, M, φ, w)</p>
            </description>
            <input>
              <e type="operand">N#</e>
              <e type="operand">E#</e>
              <e type="operand">Nres#</e>
              <e type="operand">Eres#</e>
              <e type="function" args="4">BeamSol</e>
              <e type="operand">t</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="1">time</e>
              <e type="operator" args="2">:</e>
              <e type="operand">n.e</e>
              <e type="operand">E#</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="operator" args="2">:</e>
              <e type="operand">n.n</e>
              <e type="operand">N#</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="operator" args="2">:</e>
              <e type="operand">K</e>
              <e type="operand">2</e>
              <e type="operand">n.n</e>
              <e type="operator" args="2">*</e>
              <e type="operand">2</e>
              <e type="operand">n.n</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">matrix</e>
              <e type="operator" args="2">:</e>
              <e type="operand">F</e>
              <e type="operand">2</e>
              <e type="operand">n.n</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="2">matrix</e>
              <e type="operator" args="2">:</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">n.n</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="2">matrix</e>
              <e type="operator" args="2">:</e>
              <e type="operand" style="string">provide functions for result computation</e>
              <e type="operand">x</e>
              <e type="function" args="1">w</e>
              <e type="operand">120</e>
              <e type="operand">w.I</e>
              <e type="operator" args="2">*</e>
              <e type="operand">l</e>
              <e type="operand">3</e>
              <e type="operator" args="2">^</e>
              <e type="operator" args="2">*</e>
              <e type="operand">EI</e>
              <e type="operator" args="2">*</e>
              <e type="operand">x</e>
              <e type="operand">x</e>
              <e type="operand">x</e>
              <e type="operand">3</e>
              <e type="operand">40</e>
              <e type="operand">EI</e>
              <e type="operator" args="2">*</e>
              <e type="operand">2</e>
              <e type="operand">w.J</e>
              <e type="operator" args="1">-</e>
              <e type="operand">w.I</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="1">-</e>
              <e type="operand">l</e>
              <e type="operand">φ.J</e>
              <e type="operand">φ.I</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">l</e>
              <e type="operand">4</e>
              <e type="operator" args="2">^</e>
              <e type="operand">q.J</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">l</e>
              <e type="operand">2</e>
              <e type="operator" args="2">^</e>
              <e type="operand">7</e>
              <e type="operand">l</e>
              <e type="operand">2</e>
              <e type="operator" args="2">^</e>
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              <e type="operator" args="2">*</e>
              <e type="operand">l</e>
              <e type="operand">2</e>
              <e type="operator" args="2">^</e>
              <e type="operator" args="2">/</e>
              <e type="operand">4</e>
              <e type="operand">EI</e>
              <e type="operator" args="2">*</e>
              <e type="operand">l</e>
              <e type="operator" args="2">/</e>
              <e type="operand">4</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="18">mat</e>
              <e type="operand">EI</e>
              <e type="operand">0</e>
              <e type="operand">EI</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">EI</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0</e>
              <e type="operand">EI</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">0</e>
              <e type="operand">4</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="18">mat</e>
              <e type="function" preserve="true" args="3">if</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q.I</e>
              <e type="operand">q.J</e>
              <e type="operand">l</e>
              <e type="function" args="3">f.e</e>
              <e type="operand">l</e>
              <e type="operand">3</e>
              <e type="operand">q.J</e>
              <e type="operator" args="2">*</e>
              <e type="operand">7</e>
              <e type="operand">q.I</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">20</e>
              <e type="operator" args="2">/</e>
              <e type="operand">l</e>
              <e type="operand">2</e>
              <e type="operator" args="2">^</e>
              <e type="operand">2</e>
              <e type="operand">q.J</e>
              <e type="operator" args="2">*</e>
              <e type="operand">3</e>
              <e type="operand">q.I</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">60</e>
              <e type="operator" args="2">/</e>
              <e type="operator" args="1">-</e>
              <e type="operand">l</e>
              <e type="operand">7</e>
              <e type="operand">q.J</e>
              <e type="operator" args="2">*</e>
              <e type="operand">3</e>
              <e type="operand">q.I</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">20</e>
              <e type="operator" args="2">/</e>
              <e type="operand">l</e>
              <e type="operand">2</e>
              <e type="operator" args="2">^</e>
              <e type="operand">3</e>
              <e type="operand">q.J</e>
              <e type="operator" args="2">*</e>
              <e type="operand">2</e>
              <e type="operand">q.I</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">60</e>
              <e type="operator" args="2">/</e>
              <e type="operand">4</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="6">mat</e>
              <e type="operator" args="2">:</e>
              <e type="operand" style="string">Assemble global stiffness and element loads</e>
              <e type="operand">i.e</e>
              <e type="operand">1</e>
              <e type="operand">E#</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">I</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">J</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">EI</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">3</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q.I</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q.J</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">5</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">l</e>
              <e type="operand">N#</e>
              <e type="operand">J</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">N#</e>
              <e type="operand">I</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">-</e>
              <e type="operator" args="2">:</e>
              <e type="operand">j</e>
              <e type="function" args="1">i.g</e>
              <e type="operand">j</e>
              <e type="operand">2</e>
              <e type="operator" args="2">≤</e>
              <e type="bracket">(</e>
              <e type="operand">0</e>
              <e type="operator" args="2">≠</e>
              <e type="bracket">(</e>
              <e type="operand">j</e>
              <e type="operand">2</e>
              <e type="operand">1</e>
              <e type="operator" args="1">-</e>
              <e type="operand">I</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operand">j</e>
              <e type="operand">2</e>
              <e type="operator" args="2">≤</e>
              <e type="bracket">(</e>
              <e type="operand">0</e>
              <e type="operator" args="2">≡</e>
              <e type="bracket">(</e>
              <e type="operand">j</e>
              <e type="operand">2</e>
              <e type="operand">2</e>
              <e type="operator" args="1">-</e>
              <e type="operand">J</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="bracket">(</e>
              <e type="operator" args="2">:</e>
              <e type="operand">i</e>
              <e type="operand">1</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">j</e>
              <e type="operand">1</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">K</e>
              <e type="operand">i</e>
              <e type="function" args="1">i.g</e>
              <e type="operand">j</e>
              <e type="function" args="1">i.g</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">K</e>
              <e type="operand">i</e>
              <e type="function" args="1">i.g</e>
              <e type="operand">j</e>
              <e type="function" args="1">i.g</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">EI</e>
              <e type="operand">l</e>
              <e type="function" args="2">K.e</e>
              <e type="operand">i</e>
              <e type="operand">j</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">+</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">F</e>
              <e type="operand">i</e>
              <e type="function" args="1">i.g</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F</e>
              <e type="operand">i</e>
              <e type="function" args="1">i.g</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">q.I</e>
              <e type="operand">q.J</e>
              <e type="operand">l</e>
              <e type="function" args="3">f.e</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">+</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">2</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="4">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">8</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="10">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand" style="string">add concentrated loads and constraints</e>
              <e type="operand">in</e>
              <e type="operand">1</e>
              <e type="operand">N#</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">F</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">+</e>
              <e type="operator" args="2">:</e>
              <e type="operand">F</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">3</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">+</e>
              <e type="operator" args="2">:</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">5</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">:</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">6</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">7</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">:</e>
              <e type="operand">c</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">c</e>
              <e type="operand">2</e>
              <e type="operand">in</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">N#</e>
              <e type="operand">in</e>
              <e type="operand">6</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">6</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="8">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">F.e</e>
              <e type="operand">F</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand" style="string">reduce the system using constraints</e>
              <e type="operand">cc</e>
              <e type="operand">1</e>
              <e type="operand">2</e>
              <e type="operand">n.n</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">c</e>
              <e type="function" preserve="true" args="2">augment</e>
              <e type="operator" args="2">:</e>
              <e type="operand">constr</e>
              <e type="operand">cc</e>
              <e type="operand">1</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="3">findrows</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="2">col</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">free</e>
              <e type="operand">cc</e>
              <e type="operand">0</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="3">findrows</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="2">col</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">F</e>
              <e type="operand">F</e>
              <e type="operand">K</e>
              <e type="operand">u</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">i</e>
              <e type="operand">1</e>
              <e type="operand">free</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">F.R</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F</e>
              <e type="operand">free</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">j</e>
              <e type="operand">1</e>
              <e type="operand">free</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">K.R</e>
              <e type="operand">i</e>
              <e type="operand">j</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">K</e>
              <e type="operand">free</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">free</e>
              <e type="operand">j</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">1</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">2</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="4">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand" style="string">solve the system</e>
              <e type="operand">u.R</e>
              <e type="operand">K.R</e>
              <e type="operand">1</e>
              <e type="operator" args="1">-</e>
              <e type="operator" args="2">^</e>
              <e type="operand">F.R</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">free</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="operand">1</e>
              <e type="operator" args="2">≡</e>
              <e type="operand">u.R</e>
              <e type="operand">u.R</e>
              <e type="operand">1</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">mat</e>
              <e type="operator" args="2">:</e>
              <e type="operand">0</e>
              <e type="function" preserve="true" args="3">if</e>
              <e type="operand" style="string">expand solution to full system</e>
              <e type="operand">i</e>
              <e type="operand">1</e>
              <e type="operand">free</e>
              <e type="function" preserve="true" args="1">rows</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">u</e>
              <e type="operand">free</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">u.R</e>
              <e type="operand">i</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand" style="string">Nodal (DOF) results: x, w, φ, F, M, FR, MR</e>
              <e type="operand">Nres#</e>
              <e type="operand">0</e>
              <e type="operand">7</e>
              <e type="function" preserve="true" args="2">matrix</e>
              <e type="operator" args="2">:</e>
              <e type="operand">R</e>
              <e type="operand">K</e>
              <e type="operand">u</e>
              <e type="operator" args="2">*</e>
              <e type="operand">F.e</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">j</e>
              <e type="operand">1</e>
              <e type="operand">n.n</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">Nres#</e>
              <e type="operand">Nres#</e>
              <e type="operand">N#</e>
              <e type="operand">j</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F.e</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">F.e</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">R</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">R</e>
              <e type="operand">2</e>
              <e type="operand">j</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operand">1</e>
              <e type="operand">7</e>
              <e type="function" preserve="true" args="9">mat</e>
              <e type="function" preserve="true" args="2">stack</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand" style="string">Element results: x, q, Q, M, φ, w</e>
              <e type="operand">Eres#</e>
              <e type="operand">0</e>
              <e type="operand">6</e>
              <e type="function" preserve="true" args="2">matrix</e>
              <e type="operator" args="2">:</e>
              <e type="operand">n</e>
              <e type="operand">8</e>
              <e type="operator" args="2">:</e>
              <e type="operand">i.e</e>
              <e type="operand">1</e>
              <e type="operand">n.e</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">I</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">J</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">1</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="4">mat</e>
              <e type="operand">x.I</e>
              <e type="operand">N#</e>
              <e type="operand">I</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">x.J</e>
              <e type="operand">N#</e>
              <e type="operand">J</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q.I</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">4</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q.J</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">5</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">w.I</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">I</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">w.J</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">J</e>
              <e type="operator" args="2">*</e>
              <e type="operand">1</e>
              <e type="operator" args="2">-</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">φ.I</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">I</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">φ.J</e>
              <e type="operand">u</e>
              <e type="operand">2</e>
              <e type="operand">J</e>
              <e type="operator" args="2">*</e>
              <e type="function" preserve="true" args="2">el</e>
              <e type="operator" args="2">:</e>
              <e type="operand">4</e>
              <e type="operand">2</e>
              <e type="function" preserve="true" args="10">mat</e>
              <e type="operand">l</e>
              <e type="operand">x.J</e>
              <e type="operand">x.I</e>
              <e type="operator" args="2">-</e>
              <e type="operator" args="2">:</e>
              <e type="operand">EI</e>
              <e type="operand">E#</e>
              <e type="operand">i.e</e>
              <e type="operand">3</e>
              <e type="function" preserve="true" args="3">el</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">l</e>
              <e type="operand">0</e>
              <e type="operator" args="2">&gt;</e>
              <e type="operand">j</e>
              <e type="operand">0</e>
              <e type="operand">n</e>
              <e type="function" preserve="true" args="2">range</e>
              <e type="operand">x</e>
              <e type="operand">l</e>
              <e type="operand">j</e>
              <e type="operand">n</e>
              <e type="operator" args="2">/</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">:</e>
              <e type="operand">q</e>
              <e type="operand">q.J</e>
              <e type="operand">x</e>
              <e type="operand">l</e>
              <e type="operator" args="2">/</e>
              <e type="operator" args="2">*</e>
              <e type="operand">q.I</e>
              <e type="operand">l</e>
              <e type="operand">x</e>
              <e type="operator" args="2">-</e>
              <e type="operand">l</e>
              <e type="operator" args="2">/</e>
              <e type="operator" args="2">*</e>
              <e type="operator" args="2">+</e>
              <e type="operator" args="2">:</e>
              <e type="operand">Eres#</e>
              <e type="operand">Eres#</e>
              <e type="operand">x</e>
              <e type="operand">x.I</e>
              <e type="operator" args="2">+</e>
              <e type="operand">q</e>
              <e type="operand">x</e>
              <e type="function" args="1">Q</e>
              <e type="operand">x</e>
              <e type="function" args="1">M</e>
              <e type="operand">x</e>
              <e type="function" args="1">φ</e>
              <e type="operand">x</e>
              <e type="function" args="1">w</e>
              <e type="operand">1</e>
              <e type="operand">6</e>
              <e type="function" preserve="true" args="8">mat</e>
              <e type="function" preserve="true" args="2">stack</e>
              <e type="function" preserve="true" args="1">eval</e>
              <e type="operator" args="2">:</e>
              <e type="operand">3</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="5">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">0</e>
              <e type="function" preserve="true" args="3">if</e>
              <e type="operand">5</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="7">line</e>
              <e type="function" preserve="true" args="3">for</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="1">time</e>
              <e type="operand">t</e>
              <e type="operator" args="2">-</e>
              <e type="operand">39</e>
              <e type="operand">1</e>
              <e type="function" preserve="true" args="41">line</e>
              <e type="operator" args="2">:</e>
            </input>
          </math>
        </region>
        <region id="31" top="6912" color="#000000" bgColor="#ffffff">
          <area terminator="true" />
        </region>
        <region id="32" top="6930" color="#000000" bgColor="#ffffff">
          <area collapsed="true">
            <title lang="eng">
              <p>Postprocessing</p>
            </title>
          </area>
          <region id="33" left="18" top="6957" width="937" height="521" color="#000000" bgColor="#ffffff" fontSize="10">
            <math>
              <description active="true" position="Top" lang="eng">
                <p>BeamPost[Res,T,P) Beam FEA postprocessing. Res: element results from BeamSol(), T: Modeller template, P: Modeller predefined layoutE </p>
              </description>
              <input>
                <e type="operand">Res#</e>
                <e type="operand">T#</e>
                <e type="operand">P#</e>
                <e type="function" args="3">BeamPost</e>
                <e type="operand">t</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="1">time</e>
                <e type="operator" args="2">:</e>
                <e type="operand">M</e>
                <e type="operand">Res#</e>
                <e type="operand">4</e>
                <e type="function" preserve="true" args="2">col</e>
                <e type="operator" args="1">-</e>
                <e type="operator" args="2">:</e>
                <e type="operand">Q</e>
                <e type="operand">Res#</e>
                <e type="operand">3</e>
                <e type="function" preserve="true" args="2">col</e>
                <e type="operator" args="1">-</e>
                <e type="operator" args="2">:</e>
                <e type="operand">w</e>
                <e type="operand">Res#</e>
                <e type="operand">6</e>
                <e type="function" preserve="true" args="2">col</e>
                <e type="bracket">(</e>
                <e type="operator" args="2">:</e>
                <e type="operand">x</e>
                <e type="operand">Res#</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">col</e>
                <e type="bracket">(</e>
                <e type="operator" args="2">:</e>
                <e type="operand">M.max</e>
                <e type="operand">M</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operand">M</e>
                <e type="function" preserve="true" args="1">min</e>
                <e type="function" preserve="true" args="1">abs</e>
                <e type="operand">0.001</e>
                <e type="operand">1</e>
                <e type="operand">3</e>
                <e type="function" preserve="true" args="5">mat</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operator" args="2">:</e>
                <e type="operand">Q.max</e>
                <e type="operand">Q</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operand">Q</e>
                <e type="function" preserve="true" args="1">min</e>
                <e type="function" preserve="true" args="1">abs</e>
                <e type="operand">0.001</e>
                <e type="operand">1</e>
                <e type="operand">3</e>
                <e type="function" preserve="true" args="5">mat</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operator" args="2">:</e>
                <e type="operand">w.max</e>
                <e type="operand">w</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operand">w</e>
                <e type="function" preserve="true" args="1">min</e>
                <e type="function" preserve="true" args="1">abs</e>
                <e type="operand">0.001</e>
                <e type="operand">1</e>
                <e type="operand">3</e>
                <e type="function" preserve="true" args="5">mat</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operator" args="2">:</e>
                <e type="operand">P#</e>
                <e type="operand">1</e>
                <e type="operand">0</e>
                <e type="operand">0</e>
                <e type="operand">550</e>
                <e type="operand">200</e>
                <e type="operand">1</e>
                <e type="operand">5</e>
                <e type="function" preserve="true" args="7">mat</e>
                <e type="operator" args="2">:</e>
                <e type="operand">T#</e>
                <e type="operand" style="string">R</e>
                <e type="operand">x</e>
                <e type="operand">M</e>
                <e type="operand">M.max</e>
                <e type="operator" args="2">/</e>
                <e type="function" preserve="true" args="2">augment</e>
                <e type="operand">x</e>
                <e type="operand">x</e>
                <e type="function" preserve="true" args="1">rows</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">x</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">2</e>
                <e type="operand">2</e>
                <e type="function" preserve="true" args="6">mat</e>
                <e type="function" preserve="true" args="2">stack</e>
                <e type="operand" style="string">red</e>
                <e type="operand">1</e>
                <e type="operand" style="string">#55ff0000</e>
                <e type="operand">x</e>
                <e type="operand">Q</e>
                <e type="operand">Q.max</e>
                <e type="operator" args="2">/</e>
                <e type="function" preserve="true" args="2">augment</e>
                <e type="operand">x</e>
                <e type="operand">x</e>
                <e type="function" preserve="true" args="1">rows</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">x</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">2</e>
                <e type="operand">2</e>
                <e type="function" preserve="true" args="6">mat</e>
                <e type="function" preserve="true" args="2">stack</e>
                <e type="operand" style="string">forestgreen</e>
                <e type="operand">1</e>
                <e type="operand" style="string">#5500ff00</e>
                <e type="operand">x</e>
                <e type="operand">w</e>
                <e type="operand">w.max</e>
                <e type="operator" args="2">/</e>
                <e type="function" preserve="true" args="2">augment</e>
                <e type="operand" style="string">black</e>
                <e type="operand">2</e>
                <e type="operand" style="string">#00000000</e>
                <e type="operand">x</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">x</e>
                <e type="operand">x</e>
                <e type="function" preserve="true" args="1">rows</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">0</e>
                <e type="operand">2</e>
                <e type="operand">2</e>
                <e type="function" preserve="true" args="6">mat</e>
                <e type="operand" style="string">black</e>
                <e type="operand">1</e>
                <e type="operand" style="string">black</e>
                <e type="operand">x</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">1</e>
                <e type="operator" args="1">-</e>
                <e type="operand">x</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="2">el</e>
                <e type="operand">1</e>
                <e type="operand">2</e>
                <e type="operand">2</e>
                <e type="function" preserve="true" args="6">mat</e>
                <e type="operand" style="string">black</e>
                <e type="operand">1</e>
                <e type="operand" style="string">black</e>
                <e type="operand">5</e>
                <e type="operand">4</e>
                <e type="function" preserve="true" args="22">mat</e>
                <e type="function" preserve="true" args="1">eval</e>
                <e type="operand">1</e>
                <e type="operand">100</e>
                <e type="operand">100</e>
                <e type="operand">2</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="4">mat</e>
                <e type="operand">1</e>
                <e type="operand">4</e>
                <e type="function" preserve="true" args="6">mat</e>
                <e type="operand">1</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="3">sys</e>
                <e type="operator" args="2">:</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="1">time</e>
                <e type="operand">t</e>
                <e type="operator" args="2">-</e>
                <e type="operand">11</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="13">line</e>
                <e type="operator" args="2">:</e>
              </input>
            </math>
          </region>
          <region id="34" left="18" top="7524" width="298" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
            <math>
              <input>
                <e type="operand">M#</e>
                <e type="operand">c#</e>
                <e type="function" args="2">Absmax</e>
                <e type="operand">D</e>
                <e type="operand">M#</e>
                <e type="operand">c#</e>
                <e type="function" preserve="true" args="2">col</e>
                <e type="operator" args="2">:</e>
                <e type="operand">D</e>
                <e type="function" preserve="true" args="1">min</e>
                <e type="function" preserve="true" args="1">abs</e>
                <e type="operand">D</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operand">1</e>
                <e type="operand">2</e>
                <e type="function" preserve="true" args="4">mat</e>
                <e type="function" preserve="true" args="1">max</e>
                <e type="operand">2</e>
                <e type="operand">1</e>
                <e type="function" preserve="true" args="4">line</e>
                <e type="operator" args="2">:</e>
              </input>
            </math>
          </region>
          <region id="35" left="342" top="7533" width="367" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
            <math>
              <input>
                <e type="operand">Nhead</e>
                <e type="operand" style="string">x</e>
                <e type="operand" style="string">w</e>
                <e type="operand" style="string">φ</e>
                <e type="operand" style="string">F</e>
                <e type="operand" style="string">M</e>
                <e type="operand" style="string">S:F.R</e>
                <e type="operand" style="string">S:M.R</e>
                <e type="operand">1</e>
                <e type="operand">7</e>
                <e type="function" preserve="true" args="9">mat</e>
                <e type="operator" args="2">:</e>
              </input>
            </math>
          </region>
          <region id="36" top="7578" color="#000000" bgColor="#ffffff">
            <area terminator="true" />
          </region>
          <region id="37" top="7596" color="#000000" bgColor="#ffffff">
            <area collapsed="true">
              <title lang="eng">
                <p>Instructions</p>
              </title>
            </area>
            <region id="38" left="9" top="7623" width="45" height="344" color="#000000" bgColor="#ffffff">
              <picture>
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              </picture>
            </region>
            <region id="39" left="63" top="7632" width="611" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Beam segment. Thickness scales EI. Segments can overlap, then EI adds up.</p>
              </text>
            </region>
            <region id="40" left="63" top="7659" width="647" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Vertical support. Place it at y=0 for zero displacement. Shift vertically for displaced supports (non-homogeneous constraints) </p>
              </text>
            </region>
            <region id="41" left="63" top="7695" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Constraint φ=0 (symmetry line)</p>
              </text>
            </region>
            <region id="42" left="63" top="7713" width="686" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Hinge, place anywhere. To a certain extent the solver can handle mechanisms (gives huge displacement values)</p>
              </text>
            </region>
            <region id="43" left="63" top="7758" width="703" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Distributed load, individual segments can be stacked or overlap to create arbitrarypiecewise linear q(x). Scale the values with        and with the height of the segments.</p>
              </text>
            </region>
            <region id="44" left="432" top="7776" width="31" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
              <math>
                <input>
                  <e type="operand" preserve="false" style="unit">q.0</e>
                </input>
              </math>
            </region>
            <region id="45" left="63" top="7839" width="299" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Point loads. Scale with the height.</p>
              </text>
            </region>
            <region id="46" left="63" top="7902" width="553" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Moment load. Scale with the distance and the length of the arrows.</p>
              </text>
            </region>
            <region id="47" left="18" top="7974" width="700" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Drag and drop objects from the palette to the canvas. x and y values are taken from the center of the object.Resize them with the mouse. Double-click them to set numerical values (does not workin SMath cloud).</p>
              </text>
            </region>
            <region id="48" left="18" top="8046" width="474" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Re-calculation is triggered by any changes in the model. </p>
              </text>
            </region>
            <region id="49" left="18" top="8073" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>Robustness features:</p>
              </text>
            </region>
            <region id="50" left="36" top="8091" width="704" height="104" color="#000000" bgColor="#ffffff" fontSize="10">
              <text lang="eng">
                <p>- Nodes with less than tol=0,01 distance are merged.- All nodes are connected with elements. Elements with zero stiffness     (resulting from loads or constraints outside beams)are set to a very low stiffness      in order to prevent solver crash- zero max result values are set to a small value in order to keep the diagram      scaling alive. </p>
              </text>
            </region>
            <region id="51" top="8199" color="#000000" bgColor="#ffffff">
              <area terminator="true" />
            </region>
            <region id="52" left="9" top="8217" width="646" height="345" color="#000000" bgColor="#ffffff" fontSize="10">
              <modeller templates="Vorlage" factor="1.5">
                <shapes>
                  <shape template="1" uid="2323" x="101.4" y="-5" width="10" height="11.78125" />
                  <shape template="0" uid="7967" x="-88.6" y="-15" width="200" height="10" />
                  <shape template="1" uid="8254" x="-67.8" y="-5.425" width="10" height="10.85" />
                  <shape template="7" uid="9156" x="13" y="-115" width="10" height="100" selected="true" />
                  <shape template="5" uid="9275" x="53" y="-35" width="50" height="20" />
                  <shape template="4" uid="9315" x="-78.2" y="-35" width="50" height="20" />
                </shapes>
                <input>
                  <e type="operand">out</e>
                </input>
              </modeller>
            </region>
            <region id="53" left="666" top="8226" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
              <math>
                <input>
                  <e type="operand" preserve="false" style="unit">EI</e>
                  <e type="operand">100000</e>
                  <e type="operator" args="2">:</e>
                </input>
              </math>
            </region>
            <region id="54" left="666" top="8262" width="71" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
              <math>
                <input>
                  <e type="operand" preserve="false" style="unit">q.0</e>
                  <e type="operand">0.1</e>
                  <e type="operator" args="2">:</e>
                </input>
              </math>
            </region>
            <region id="55" left="684" top="8568" width="570" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
              <math>
                <input>
                  <e type="operand">in</e>
                  <e type="operand">out</e>
                  <e type="operand">1</e>
                  <e type="operand">out</e>
                  <e type="function" preserve="true" args="1">rows</e>
                  <e type="operand">1</e>
                  <e type="operand">5</e>
                  <e type="function" preserve="true" args="5">submatrix</e>
                  <e type="operator" args="2">:</e>
                </input>
                <result action="numeric">
                  <e type="operand">2</e>
                  <e type="operand">106.4</e>
                  <e type="operand">0.8906</e>
                  <e type="operator" args="1">-</e>
                  <e type="operand">10</e>
                  <e type="operand">11.7812</e>
                  <e type="operand">1</e>
                  <e type="operand">11.4</e>
                  <e type="operand">10</e>
                  <e type="operand">200</e>
                  <e type="operand">10</e>
                  <e type="operand">2</e>
                  <e type="operand">62.8</e>
                  <e type="operator" args="1">-</e>
                  <e type="operand">0</e>
                  <e type="operand">10</e>
                  <e type="operand">10.85</e>
                  <e type="operand">8</e>
                  <e type="operand">18</e>
                  <e type="operand">65</e>
                  <e type="operand">10</e>
                  <e type="operand">100</e>
                  <e type="operand">6</e>
                  <e type="operand">78</e>
                  <e type="operand">25</e>
                  <e type="operand">50</e>
                  <e type="operand">20</e>
                  <e type="operand">5</e>
                  <e type="operand">53.2</e>
                  <e type="operator" args="1">-</e>
                  <e type="operand">25</e>
                  <e type="operand">50</e>
                  <e type="operand">20</e>
                  <e type="operand">6</e>
                  <e type="operand">5</e>
                  <e type="function" preserve="true" args="32">mat</e>
                </result>
              </math>
            </region>
            <region id="56" left="18" top="8622" width="646" height="345" color="#000000" bgColor="#ffffff" fontSize="10">
              <modeller templates="Vorlage" predifinedLayout="in" factor="1.25" drawTemplates="false">
                <shapes />
                <input>
                  <e type="operand">out1</e>
                </input>
              </modeller>
            </region>
            <region id="57" top="8982" color="#000000" bgColor="#ffffff">
              <area collapsed="true">
                <title lang="eng">
                  <p>Function calls</p>
                </title>
              </area>
              <region id="58" left="18" top="9000" width="252" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">out</e>
                    <e type="operand">E</e>
                    <e type="operand">N</e>
                    <e type="function" args="3">BeamPre</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">0.037</e>
                    <e type="operand" style="unit">s</e>
                    <e type="operator" args="2">*</e>
                  </result>
                </math>
              </region>
              <region id="59" left="18" top="9036" width="309" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">N</e>
                    <e type="operand">E</e>
                    <e type="operand">Res.N</e>
                    <e type="operand">Res.E</e>
                    <e type="function" args="4">BeamSol</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">0.991</e>
                    <e type="operand" style="unit">s</e>
                    <e type="operator" args="2">*</e>
                  </result>
                </math>
              </region>
              <region id="60" left="18" top="9072" width="268" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">Res.E</e>
                    <e type="operand">T</e>
                    <e type="operand">P</e>
                    <e type="function" args="3">BeamPost</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">0.065</e>
                    <e type="operand" style="unit">s</e>
                    <e type="operator" args="2">*</e>
                  </result>
                </math>
              </region>
              <region id="61" left="18" top="9108" width="178" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math optimize="2">
                  <input>
                    <e type="operand">M.max</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">4</e>
                    <e type="function" args="2">Absmax</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="62" left="198" top="9108" width="178" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math optimize="2">
                  <input>
                    <e type="operand">Q.max</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">3</e>
                    <e type="function" args="2">Absmax</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="63" left="387" top="9108" width="178" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math optimize="2">
                  <input>
                    <e type="operand">w.max</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">6</e>
                    <e type="function" args="2">Absmax</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="64" left="18" top="9153" width="154" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">x.out</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="2">col</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="65" left="198" top="9153" width="154" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">M.out</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">4</e>
                    <e type="function" preserve="true" args="2">col</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="66" left="378" top="9153" width="154" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">Q.out</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">3</e>
                    <e type="function" preserve="true" args="2">col</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="67" left="567" top="9153" width="186" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">w.out</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">6</e>
                    <e type="function" preserve="true" args="2">col</e>
                    <e type="operand">1</e>
                    <e type="operator" args="1">-</e>
                    <e type="bracket">(</e>
                    <e type="operator" args="2">*</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="68" left="18" top="9198" width="220" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">M.func</e>
                    <e type="operand">x.out</e>
                    <e type="operand">M.out</e>
                    <e type="function" preserve="true" args="2">augment</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="69" left="18" top="9252" width="220" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">Q.func</e>
                    <e type="operand">x.out</e>
                    <e type="operand">Q.out</e>
                    <e type="function" preserve="true" args="2">augment</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="70" left="18" top="9297" width="220" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">w.func</e>
                    <e type="operand">x.out</e>
                    <e type="operand">w.out</e>
                    <e type="function" preserve="true" args="2">augment</e>
                    <e type="operator" args="2">:</e>
                  </input>
                </math>
              </region>
              <region id="71" top="9333" color="#000000" bgColor="#ffffff">
                <area terminator="true" />
              </region>
              <region id="72" left="27" top="9360" width="607" height="229" color="#000000" bgColor="#ffffff" fontSize="10">
                <modeller templates="T" predifinedLayout="P" factor="1" drawTemplates="false" drawScale="false">
                  <shapes />
                  <input>
                    <e type="operand">post</e>
                  </input>
                </modeller>
              </region>
              <region id="73" left="648" top="9360" width="103" height="32" color="#000000" bgColor="#ffaeae" fontSize="10">
                <math decimalPlaces="0">
                  <input>
                    <e type="operand">M.max</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">5600</e>
                  </result>
                </math>
              </region>
              <region id="74" left="648" top="9396" width="95" height="32" color="#000000" bgColor="#88ffa6" fontSize="10">
                <math decimalPlaces="0">
                  <input>
                    <e type="operand">Q.max</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">127</e>
                  </result>
                </math>
              </region>
              <region id="75" left="648" top="9432" width="119" height="32" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
                <math decimalPlaces="3">
                  <input>
                    <e type="operand">w.max</e>
                  </input>
                  <result action="numeric">
                    <e type="operand">15.185</e>
                  </result>
                </math>
              </region>
              <region id="76" left="27" top="9639" width="533" height="282" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
                <table id="1" elementsOnDataSizeChange="10,10" focus="0,0;6,8" bgColor="White" borderSize="1,1" borderStyle="Solid,Solid" borderColor="Black,Black" frameBorderSize="1,1,1,1" frameBorderStyle="Solid,Solid,Solid,Solid" frameBorderColor="Black,Black,Black,Black" resizeFrame="5px #0080FF" resizeFrameInner="#000000 alpha:0" resizeFrameOuter="#0A0A0A alpha:130">
                  <inputs>
                    <e regions="columns">post</e>
                    <e regions="columns">w.max</e>
                    <e regions="columns">Q.max</e>
                    <e regions="columns">M.max</e>
                    <e regions="columns">P</e>
                    <e regions="columns">T</e>
                    <e regions="columns">Res.N</e>
                    <e regions="columns">N</e>
                    <e regions="columns">out1</e>
                    <e regions="columns">'q.0</e>
                    <e regions="columns">'EI</e>
                    <e regions="columns">Nhead</e>
                    <e regions="columns">Absmax</e>
                    <e regions="columns">BeamPost</e>
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                      <tr>
                        <td>-88,600</td>
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                        <td>0,000</td>
                        <td>0,000</td>
                        <td>0,000</td>
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                      <tr>
                        <td>-78,200</td>
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                        <td>15,400</td>
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                        <td>0,000</td>
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                      <tr>
                        <td>-62,800</td>
                        <td>0,000</td>
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                        <td>-157,422</td>
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                      <tr>
                        <td>-28,200</td>
                        <td>8,943</td>
                        <td>-0,222</td>
                        <td>34,600</td>
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                        <td>0,000</td>
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                      <tr>
                        <td>18,000</td>
                        <td>15,129</td>
                        <td>-0,025</td>
                        <td>100,000</td>
                        <td>0,000</td>
                        <td>0,000</td>
                        <td>0,000</td>
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                        <td>53,000</td>
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                        <td>0,000</td>
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                      <tr>
                        <td>103,000</td>
                        <td>1,796</td>
                        <td>0,266</td>
                        <td>15,020</td>
                        <td>166,750</td>
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                        <td>0,000</td>
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                        <td>106,400</td>
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                        <td>0,000</td>
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                        <td>111,400</td>
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                        <td>0,000</td>
                        <td>0,000</td>
                        <td>0,000</td>
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                      <tr>
                        <td>#</td>
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                      <tr>
                        <td>x</td>
                        <td>w</td>
                        <td>φ</td>
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                      <tr>
                        <td>#</td>
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                        <td>#</td>
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                        <td>#</td>
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                  <input>
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              <region id="77" left="18" top="9891" width="680" height="152" color="#000000" bgColor="#e6e6e6" fontSize="10">
                <text lang="eng">
                  <p>Martin, I really like the approach you took in the 1st iteration of your BeamFEA, when you displyed Shear, Moment and Displacement curves separately - it is quiteuseful to tell demand at any given point just by looking at plot.Unfortunately after trying a few times I failed to shade the area under the curve - could you tell me what I am missing?Also Is there away to set X-axis and Y-axis "ticks" to a reasonable minimum valueautomatically? It will make chart easier to read.</p>
                </text>
              </region>
              <region id="78" left="18" top="10080" width="664" height="40" color="#000000" bgColor="#e6e6e6" fontSize="10">
                <text lang="eng">
                  <p>I have also attempted to visialise demands for distributed load (not in table), this is as far as I got:</p>
                </text>
              </region>
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                <math>
                  <input>
                    <e type="operand">out</e>
                    <e type="function" args="1">qPlot</e>
                  </input>
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                    <e type="operand">50</e>
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                    <e type="operand">141</e>
                    <e type="operand">5</e>
                    <e type="operator" args="2">/</e>
                    <e type="operator" args="1">-</e>
                    <e type="bracket">(</e>
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                    <e type="bracket">(</e>
                    <e type="operator" args="2">&amp;</e>
                    <e type="bracket">(</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">103</e>
                    <e type="operand">x</e>
                    <e type="operator" args="2">-</e>
                    <e type="bracket">(</e>
                    <e type="operand">53</e>
                    <e type="operand">x</e>
                    <e type="operator" args="2">≤</e>
                    <e type="bracket">(</e>
                    <e type="operand">x</e>
                    <e type="operand">103</e>
                    <e type="operator" args="2">≤</e>
                    <e type="bracket">(</e>
                    <e type="operator" args="2">&amp;</e>
                    <e type="bracket">(</e>
                    <e type="operator" args="2">*</e>
                    <e type="operator" args="2">+</e>
                    <e type="operand">25</e>
                    <e type="operator" args="2">/</e>
                  </result>
                </math>
              </region>
              <region id="80" left="18" top="10188" width="635" height="24" color="#000000" bgColor="#e6e6e6" fontSize="10">
                <text lang="eng">
                  <p>How can I plot this using Draw2D()? - something did not seem to work for me.</p>
                </text>
              </region>
              <region id="81" left="18" top="10233" width="611" height="40" color="#000000" bgColor="#e6e6e6" fontSize="10">
                <text lang="eng">
                  <p>If I can make it work I will attempt to summarize input loads on a single plot.</p>
                </text>
              </region>
              <region id="82" left="45" top="10323" width="342" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
                <math>
                  <input>
                    <e type="operand">qdata</e>
                    <e type="operand">Res.E</e>
                    <e type="operand">1</e>
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                    <e type="operand">Res.E</e>
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                    <e type="function" preserve="true" args="2">col</e>
                    <e type="function" preserve="true" args="2">augment</e>
                    <e type="operator" args="2">:</e>
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                      <commandList>
                        <string>terminal=pngcairo</string>
                        <string>file_name="C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/mjvcqn14"</string>
                        <string>dimensions=[645;250]</string>
                        <string>font="Arial"</string>
                        <string>font_size=8</string>
                        <string>xu_grid=40</string>
                        <string>yv_grid=40</string>
                        <string>xlabel="x"</string>
                        <string>ylabel="y"</string>
                        <string>zlabel="z"</string>
                        <string>zrange=[-0.9663676416;0.9663676416]</string>
                      </commandList>
                      <prambleList>
                        <string>"set term pngcairo font ',8' enhanced size 645, 250"</string>
                        <string>"set encoding iso_8859_2"</string>
                        <string>"set grid xtics mxtics"</string>
                        <string>"set grid ytics mytics"</string>
                      </prambleList>
                      <plotType>plot2D</plotType>
                      <titleDefault>SAMPLE PLOT</titleDefault>
                      <title>Sample</title>
                      <titleState>Disable</titleState>
                      <border>Disable</border>
                      <borderVal>4095</borderVal>
                      <textSize>8</textSize>
                      <textSizeState>Disable</textSizeState>
                      <textFont>Arial</textFont>
                      <contour>Disable</contour>
                      <contourType />
                      <contourLevels>5</contourLevels>
                      <pm3d>Disable</pm3d>
                      <pm3dpalette>[blue,red,green]</pm3dpalette>
                      <gridXu>40</gridXu>
                      <gridYv>40</gridYv>
                      <gridState>Custom</gridState>
                      <width>645</width>
                      <height>250</height>
                      <pictureSizeState>Interactive</pictureSizeState>
                      <filename>C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/mjvcqn14</filename>
                      <termType>png</termType>
                      <mapView>Disable</mapView>
                      <xName>x</xName>
                      <yName>y</yName>
                      <zName>z</zName>
                      <xNameS>Default</xNameS>
                      <yNameS>Default</yNameS>
                      <zNameS>Default</zNameS>
                      <xMinRange>-1.0485760000000002</xMinRange>
                      <xMaxRange>1.0485760000000002</xMaxRange>
                      <yMinRange>-1.048576</yMinRange>
                      <yMaxRange>1.048576</yMaxRange>
                      <zMinRange>-0.9663676416</zMinRange>
                      <zMaxRange>0.9663676416</zMaxRange>
                      <xRangeS>Disable</xRangeS>
                      <yRangeS>Disable</yRangeS>
                      <zRangeS>Interactive</zRangeS>
                      <xGrid>Enable</xGrid>
                      <yGrid>Enable</yGrid>
                      <zGrid>Disable</zGrid>
                      <xLogarithmic>Disable</xLogarithmic>
                      <yLogarithmic>Disable</yLogarithmic>
                      <zLogarithmic>Disable</zLogarithmic>
                      <xLogBase>10</xLogBase>
                      <yLogBase>10</yLogBase>
                      <zLogBase>10</zLogBase>
                      <azimuth>60</azimuth>
                      <zenith>60</zenith>
                      <scalAzimuth>1</scalAzimuth>
                      <scalZenith>-33</scalZenith>
                      <view>Interactive</view>
                      <mouseRedirecting>Disable</mouseRedirecting>
                      <varNameMouseX>MouseX4</varNameMouseX>
                      <varNameMouseY>MouseY4</varNameMouseY>
                      <varNameMouseWheel>MouseW4</varNameMouseWheel>
                      <viewRedirecting>Disable</viewRedirecting>
                      <varNameAzimuth>Azimuth4</varNameAzimuth>
                      <varNameZenith>Zenith4</varNameZenith>
                      <xRedirecting>Disable</xRedirecting>
                      <varNameXmin>MinX4</varNameXmin>
                      <varNameXmax>MaxX4</varNameXmax>
                      <yRedirecting>Disable</yRedirecting>
                      <varNameYmin>MinY4</varNameYmin>
                      <varNameYmax>MaxY4</varNameYmax>
                      <zRedirecting>Disable</zRedirecting>
                      <varNameZmin>MinZ4</varNameZmin>
                      <varNameZmax>MaxZ4</varNameZmax>
                      <option>none;</option>
                    </PlotStore>
                  </plotstore>
                  <input>
                    <e type="operand">point_type</e>
                    <e type="operand">dot</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">points_joined</e>
                    <e type="operand">true</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">filled_func</e>
                    <e type="operand">0</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">qdata</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">xrange</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">5</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="7">sys</e>
                  </input>
                </maximaplugin>
              </region>
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1CVybWuXKhopsJPPVVqC5GEzp1D//5Yvx67d7MlkzaaNMG2bejUCa1bY9060WlIEN7by7ycTqfoCKo6dgxhYcjNRXo6GjfWfXeslEKqWKwaNTBpElavxoQJiInBH39olYuKk/awYlc2L5fLJTqCkr78Eh064IEHkJiIyy83Yo+slEI0KVZICDIzkZuL0FAcOlT18agU0h5W6q3Rcl2ZBEpJwbBhePVVDBkiOgqZgMOBZ59FQgIeekh0FKo8Sa/20hy7MgnhdmPKFKxYgaQk3HOP6DRkGl98gV69MH48xo0THYUqiV2ZSC9//IEhQ3D0KNauRaNGotOQyfz0E3r2RHAwFixAjRqi05DXJL0Gm6RlsVhER1BDTg7atUOdOsjIENOSWSmF6FGsRo2Qno6ff0bPnjh7VvPhTUraw0q9eSfnymSkjAz07Yv/+z9MnMh7O5BI+fkYPx7p6Vi/HjfeKDoNeYFzZSKNxcfjscewdCkmTWJLJsGqV8ebb2LYMLRrh337RKch3ag37+RcmQzgdmP8eKSkIDkZLVuKTkNUhNOJYcNgtyMiQnQUKhfnylQ5RR8USkWdOYOICOzfj927pWjJrJRCDChWt27YuBFjx2L+fL135c+kPazYlc0rKChIdAQZHTmC8HA0bIhNmyDJIyFYKYUYU6y778aOHVi6FLGxcLsN2KEfkvawUu9sMM9gk362bUO/fpgyBbGxoqMQVeT33xEdjZo18d57qFtXdBoqgWewiapk6VJERSE+ni2Z1HDFFUhORuPGCA3FDz+ITkMaYVc2r5ycHNERZJGXB4sFL7+MHTvQrZvoNCWwUgoxuFjVq2P+fAwditBQfP65kXtWnrSHFbuyeTkcDtERpHD6NHr0wHffYedO3H676DSlYaUUIqRYsbGYOxfduuGjj4zfuaqkPazUW6PlujJp6OuvERmJrl3xxhu8lyGpbdcu9OmDKVMwapToKASA68pElbVjBzp1wvDhmDePLZmU16YNtm7F3LmYNg2cuahLvXkn58qkiWXLMHEili5Fz56ioxBp57ffEBGBu+/GwoW8IZ1gnCtT5dhsNtERxMjNhcWCV17Bp5+q0ZJNWykVCS9WgwZIS8O332LAAOTlic0iNeGVKot6807OlbXicrkCJblNhoFOnMCjj6JWLSQmol490Wm8Y85KKUqSYp07h8hIBAbC4eDqTOkMqBSfr0xUgUOHEBmJxx7DjBmoXl10GiI9nTuHXr1Qvz7ee4+NWQyewSYqz7p1aN8ekyZh1iy2ZPJ/desiJQUnT/JUtmLYlc3L6XSKjmCc2bNhsSApCSNHio5SeaaqlOqkKladOkhJwenT6N8fubmi00hGqkoVxa5sXi6XS3QEI+TlYexYLFmCLVsQFiY6jU9MUin/IFux6tTB2rVwuTB8OPLzRaeRiWyVKqTeGi3Xlcl7p06hXz+43UhMRP36otMQCfLHH+jZE40aIT6eyzfG4boy0T8cOIDgYLRqhU2b2JLJ1C6/HE4nzp5FVBRPZctOvXkn58rkjeRkjBiBuXMxYIDoKERy+PNP9O2L/HysXo1atUSnMQHOlalyLBaL6Ah6iYvDk08iOdlPWrIfV8r/yFysyy7DypWoUQN9+uDiRdFpRJO2UurNOzlXpnKcP4/hw3H4MJKTccMNotMQyefPP9GvHy5exJo1qF1bdBq/xrkymd3x43jgAZw/j/R0tmSi0l12GT78ELVqoU8fXLggOg2VwK5MfmLvXgQHo0sXrFmDK64QnYZIYpddhsRE1K6NRx5hY5YOu7J52e120RE0s3YtunXDK68gLs4Pn5PjT5Xye6oUq2ZNfPgh6tZF794mbczSVkrHrhzwlypuIZ0EBQWJjqCBggLExWH0aKSkIDpadBp9+EelTEKhYtWsicRENGiAXr1w/rzoNIaTtlJ6XTlVdJXb89q3LeWPTCZ3/jyGDsV33yE5GY0bi05DpKD8fAwejBMnkJSEOnVEp/Evcl3txcZJenO50L07zp5FWhpbMpGPqlfH0qWoWxfR0bwlpxT0XVf2nIvWvEMH/FPh9qioqMLXdrs9NTXV8zo7O9tqtRZ+yWq1Zmdne16npqYWXV0w1QijRo0SnsHnEQ4eREgIWrVCixZTfvtN1T+FlyPk5OQIz8ARvBwhJydHeIbKjuC5+Ov06fPBwbtEZTB+hIiICG0zBJQA3xToD39NnX3YUtZoVHXTp08XHcFH69cXBAYWvPOO6BxGUbdSJqRusf73v4LWrQumTROdwygGVMq3bmXEGi3XlUlDb72FuDisXo3wcNFRiPzLiRNo1w4TJkDW214pxrduVUOPKGDvJB243Rg/Hps2ITMTTZqITkPkd669Flu3ol071KmDmBjRacxKr67smfgWvvZ5C5HH+fMYOBDHj2PnTj4AikgvjRtjwwZ07oyGDdG1q+g0pqTj1V5Fz61XZQvpxGaziY7grdOn8fDDyM3F5s1mbMkKVYr8oFh33onkZAwZgn37REfRk7SVKu88s2faKluD5LlxrbhcrsDAQNEpKnb0KLp3R3g4Fiww6QPbVakUwY+KtW4dLBZs24bbbxcdRR8GVMq3blXx98jWm9mVTeXzz9GjB8aNw6RJoqMQmczixZg9G598goYNRUdRk15Xe3kG5XIvGS89HX374uWXMWSI6ChE5jNyJH76CT16YOtWXHml6DSmUfG6cuGdQC59lIp3qPYXTqdTdITyrFiBRx+Fw8GWLHulqCg/K9a0aQgNRe/euHhRdBStSVup8rpy0X5cuJFzZb/hcrlERyjTyy/j6aexcSO6dBEdRQIyV4qK8b9izZmD+vUxZAjcbtFRNCVtpdRbo+W6sn/zfCh540Y4nbj1VtFpiAi4cAFdu6JFC8yfLzqKUuR6OgWRD/LzMWIEtm3D1q1syUSyqF0ba9YgLY1d2Qh63UWEqLLcbowYgWPHkJGBq68WnYaIimjQAE4nwsNx3XUo8lAG0h7nyuZlkelet/n56N8fJ09i40a25OKkqhSVz4+LdfPN2LIF//d/2LhRdBQtSFsp9dZoua7sf9xuDBsGlwtr1uCyy0SnIaKy7dqFiAgkJ6NtW9FRpMd1ZVKS242RI/HDD1i5ki2ZSHZt2mDZMvTpg8OHRUfxU+zKJFJBASwWHDmClBTUqSM6DRF5oUcPvPIKHn4YP/8sOoo/Ylc2L7vdLjZAQQGefhrffIP161G3rtgsUhNeKfKeSYr1+OMYMQJdu+L0adFRfCVtpdiVzSsoKEhsgOeew/btSEpiS66A8EqR98xTrMmTcf/96N8feXmio/hE2kqpd+UUr/byD3FxWLMGW7bAL56vQ2RGeXl4+GH8+9+YN090FCnxai9SxrPPYv16ZGSwJRMprEYNrF6N9HTMmSM6ih9hVzavnJwcIft9/nk4ndi4EddcI2T/6hFVKfKB2Yp15ZVIScHs2Vi/XnSUSpK2UuzK5uVwOIzf6fTpSExEWhquvdb4natKSKXINyYs1i23YNUqDB2KAwdER6kMaSul3hot15XVNXMmEhKwbRsfok7kb+Lj8fzzyMzkL9x/861bqdfh2JUVtWgRZs7Etm1o0kR0FCLSwbhx+OorbNyIGnzAAgB2ZZJZUhLGjEF6Om67TXQUItJHXh569EDTpliwQHQUOfAabKocm81mzI7S0mCxYNMmtmQfGVYpqjozF8tzSfaOHXj9ddFRvCBtpdSbd3KurBWXyxWo/yeTvvwSDzyAxER07Kj3rvyWMZUiTbBYOTlo2xZvv42ePUVHKZcBleIZbJLOL78gNBQzZqB/f9FRiMgoO3eiVy9s2YIWLURHEYpnsEkuv/+OHj0wdChbMpG5hIbitdcQGYlffxUdRUHsyubldDr1GzwvD1FRuP9+PPecfjsxC10rRdpisTxiYhAVhT59cPGi6ChlkLZS7Mrm5XK59Bv8ySdRsybefFO/PZiIrpUibbFYhWbORGAgLBbROcogbaXUW6PlurL8XnoJq1YhIwNXXCE6ChGJ8/vvaNcOMTGYMEF0FBF861b8sDdpLD4eixdj5062ZCKzu+IKpKSgbVs0a4bISNFpFKHevJNzZZl9/DEGDcLWrZD10aVEZDTPJdlpaWjZUnQUY/EabKoci9YLPvv3Y+BAJCayJWtM80qRfliskkJD8frr6NVLrkuypa2UevNOzpXldOwYQkPx6qvo1090FCKSj9WKHTuQloZatURHMYp0dxEJCAjwvCjchW9bSg7Lriyb06cRHo7HH8ekSaKjEJGU3G706YOrr0Z8vOgoRpGrKxdN43nt25byRyYZ5OejVy80bIglS0RHISKJnT2Ltm1hsWDcONFRDCHXujIbp/zsdrsm4zz3HM6cwaJFmgxGpdCqUmQAFqscV12Fdevw0ktITRUdReJKKXm1V8A/FW6PiooqfG2321P/qnx2drbVai38ktVqzc7O9rxOTU0tWhtTjZCRkVH1DIsWHU9IQGIi0tNV/TnIP0LQX5fPKf2nMMkIQUFBwjPIPMKtt2LFCkRGnvzhB8F/ihUrVmj7cwgoAT7R/Wxw4RSeZ7D9z4ED6NwZmzbh3ntFRyEidSxYcOmuBnXrio6iJ7nWlS+NXkaXZVf2A2fOoHVrPPccBg0SHYWIVDN8OC5ehMMhOoee5FpXBtun9HJycnz+3oICDBqEjh3Zko1QlUqRwVgsLy1YgG++wfz5wgJIWym9urLnlHrR0+ueqbCHp1t7s4X046jCr6kzZ+L4ccybp2EcKlNVKkUGY7G8VLs2Vq3CzJnIyBATQNpKqdf82LCF27gRw4Zh1y7ceKPoKESksi1bEBODzEw0biw6ig6kO4NNfik7G0OG4P332ZKJqKo6d0ZsLB57TN7HMBtPvXkn58oCnTuH0FAMGmTS57IRkeYKCtC/P+rVw8KFoqNojXNlqhybzVbZb7FYcMcdbMlG86FSJAqLVVkBAViyBDt2GH1zQGkrpd68k3NlrbhcrsDAQO/f//bbmD8fn32Gyy/XLxSVorKVIoFYLN989x3Cw5GSgtatDdqjAZWS8fPKemBXFuKTT/DII9i5E02bio5CRP5o82ZYLMjMxHXXiY6iEZ7BJr38/DP69cPSpWzJRKSXLl0wZAiio5GXJzqKUOzK5uV0Or15W14eBg7E8OGIiNA7EZXOy0qRDFisqpg6FfXqGfRAWGkrxa5sXi6Xy5u3TZ6MunUxbZrecahMXlaKZMBiVUVAAJYvx8aNSEjQfV/SVkq9NVquKxtp/XqMGYM9e8DrV4jIGPv3o2tXbN2Kvx6WpiquK5PGjh7F8OFYuZItmYiMc/fdWLQIPXrgt99ERxFBvXkn58rGyM9Hp07o1g1TpoiOQkTmM2kSsrKwcSOqVxcdxVecK1PlWCyWcr46ezZq1kSRh3+TMOVXiqTCYmll5kxUr47nn9drfGkrpd68k3NlA3z6KR55BHv3+uct44lICSdPok0bzJ6NRx8VHcUnnCuTNs6exeOPY9EitmQiEql+faxejdGjceiQ6CgGUm/eybmy3gYPRp06WLRIdA4iIuC99/Dii8jMxNVXi45SSZwrU+XY7faSG99/H1lZmDPH+DhUplIrRXJisTQ3cCAeegiDB0Pb6Zi0lWJXNq+gEh8GPHYMEyZg2TLUri0kEZWuZKVIWiyWHl59Fb/8ovFsQdpKqXc2mGewdZKbi7AwDBiA2FjRUYiI/umXXxAcjOXL8eCDoqN4jWewqUpmzEDDhhg3TnQOIqISrr8e776LwYPx00+io+iMXdm8cnJyCl9v24Z33sGSJQgIEJiISle0UiQ5Fks/nTrBYsGAAdo8VEraSrErm5fD4fC8OHkSgwdj6VJce63YRFS6wkqR/FgsXf3nP6hTB1OnajCUtJVSb42W68qae+wx3HILXn1VdA4iooqcPIn77sOcOejVS3SUivjWrWroEYUUsnw5jh3DBx+IzkFE5IX69bFiBXr1QsuWaNJEdBodqDfv5FxZQ4cPo2NHbN+Opk1FRyEi8tobb+CDD7B9O2rVEh2lbDeEI+4AAAtgSURBVLwGmyrHap06cCCmT2dLlp3NZhMdgbzFYhlj/HjcfDOeecb3EaStlHrzTs6VtTJx4rlvvqmblCQ6B1XE5XIF8hnXimCxDHPqFO67D6+/jt69ffl2AyrlW7dSr8OxK2ti92707o0vvkCDBqKjEBH55Msv8eCD2LYNct6ni2ewyVsXLmDwYLzxBlsyESmsRQu89BKionDunOgo2mFXNqMZM3DnnbjqKqfoIOQVp5OVUgaLZbDhwxEcjJEjK/2N0laKXdl09u6F3Y758+FyuURnIa+wUgphsYy3cCEOHcI771Tuu6StlHprtFxXrorcXAQHY8IExMSIjkJEpJFvv0VYGDZuRKtWoqMUwXVlqtisWWjShC2ZiPxKs2aYNw/9+uHMGdFRqkzfeWex3xQC/nr0QeFGb7aUPyZ5z3O9YlYWGjUSHYWISGtjx+LoUSQlyfKUHenmygH//MF48nl4vuTNFtJKbi4GD8aLL/7dki0Wi9BE5C1WSiEslkCvvw6XC3PmePVmaSul17zT01+L/qZQ8rU3W8oaWY/M/m32bGzZAqdTlt8iiYg0d+wY2rTBypUICxMdRba5st4nxosq3B4VFVX42m63p6amel5nZ2dbrdbCL1mt1uzsbM/r1NRUu93u9yMcPIhXXsF//nN08mSF/xQcgSNwBI5Q/gi5udlhYcsGDsSJE0ZnCCgBPjFuXZlzZVHy89GuHQYOxNixoqMQEenPZkNmJjZtQvXqImPINVcmebz5JmrVwujRxbcX/aWPZMZKKYTFksGLL6JaNcyYUd57pK0Un6/s5779FjNmYOdOVCvxC1iQnLeOpRJYKYWwWDKoVg3vvovgYNx/P7p0Kf090laKn4zyZwUFeOghdO6MKVNERyEiMtbHH2PYMOzZg4YNxQSQ8Qx2sUCFn3qq1Bby2eLFOHUKEyeKzkFEZLiHHsLw4Rg4EG636CiVwXVlv/Xf/2LyZLz3HmqUsUyRk5NjbCLyESulEBZLKlOnokYNTJ1aypekrRS7sn8qKMDIkXj6adxxR5nvcTgcBiYi37FSCmGxpOJZYE5IwKZNxb8kbaXUW6PlurI37HbY7fjsszInykREJpGRgeho7N6Nxo0N3a9v3Uq9DseuXKFTp3DXXUhJQXCw6ChERBKYOhU7d2Lz5lI+jaIfdmW6ZPhwXH99BZ/VIyIyD7cb3bujdWtMn27cTmW8BpuMl56Obdvwn/9U/E6bzaZ/HNIAK6UQFktOngXm+Pi/F5ilrZR6807OlcuRm4tWrTBjBiIjK36zy+UKDAzUPxRVFSulEBZLZunp6N//0gKzAZXiGWzCa68hIwPJyaJzEBFJ6YUXkJaGtDQjroRlVza7H35A69bIzMRNN4mOQkQkJbcb3bqhTRsjFpi5rmx248dj7NhKtGSn06lnHNIMK6UQFkty1arB4cDy5ZgxY4/oLKVjV/YTH32EgwfxzDOV+BaXy6VbHNISK6UQFkt+110HhwOvvHLXjz+KjlIa9c4G8wx2SRcuoEULLFmC9u1FRyEiUkFcHLZu1XeBmWewzWvWLLRpw5ZMROStqVNRqxbi4kTnKEG9eSfnysUcPoz27fHFF8KeVkZEpKLjx3HffViyBF276jI+58omNXYsbDZfWrLFYtEhDmmPlVIIi6UKi8XSsCHefRdDhkCqBWb15p2cKxeVmIhZs7B7N6pXFx2FiEhBU6ciPV2XBWZ+Xtl0zpzBXXdh7Vq0bi06ChGRmtxudO2KkBDtP8HMrmw648fjjz9gt4vOQUSksuPH0aoVli7VeIGZ68rmkpWFFSswa5bvI9jZzxXBSimExVJF0Uo1bAiHQ5YFZnZlJbndsFgwfTrq1/d9kKCgIO0SkY5YKYWwWKooVqlOnTB8OAYMQF6eqESXqHc2mGewASxejOXLsWMHAgJERyEi8gtuN7p0wf33a7bAzHVlszhxAi1aIDUVzZuLjkJE5Ee0XWDmurJZPPcc+vbVoCXn5ORoEYd0x0ophMVSRamVatgQixZh6FD8+qvxiS5hV1bM558jJQUvvqjBUA6HQ4NRSH+slEJYLFWUVamePTFgAIYOhahzsuqdDTb5GewHH0R0NEaMEJ2DiMhP5eaiQwf07o2JE6s0jm/dSreHZZAOUlLgcmHoUNE5iIj8V82aSExESAhat0anTkbvXb15p2nnyrm5aN4cCxeic2fRUYiI/F1aGgYPxt69vj/4h1d7+bm33sIdd2jZkm02m2ZjkZ5YKYWwWKqosFIPPIARIzBwINxuYxJdot6805xz5ZMnceedyMjA7bdrNqbL5QoMDNRsONINK6UQFksV3lQqPx9duqB9e0yb5ssu+HllfxYbi2rV8MYbonMQEZnJL7/g3nuxYgU6dKj097Ir+63Dh9GhAw4dqtL9NYmIyAcffYRRo5CVVel/gbmu7LeeeQZTpmjfkp1Op8Yjkj5YKYWwWKrwvlI9eqB/f+MWmKXrygF/ER1EFqmp+PZbPPWU9iO7XC7tByUdsFIKYbFUUalKzZiBixcxY4Z+cf4m19ngovP9sub+pjqDnZ+PVq0wYwYiIkRHISIysR9/xH33Yc0ahIZ6+y08g+2HlizBddexJRMRCda4Mex2DByIU6f03ZFi9/byPJLabKe3zfbnJSKSlt5X3cp1NljsGez9+5GXh/x8nD0LABcuwOXC8eM4fhwuF06cwNGjyM7GVVfh1lsv/XfvvQgOxk036REHkyfj5Em8/bYugwOwWCxv6zc6aYeVUgiLpQrfKpWbC5cL//qXV2/2h09GKbGu/NNPyM5Gdja++Qb792PfPuTnIzgYwcEICUFYGK68UoO9fP89QkLwxRe+3+yNiIgEYlcW5vhx7NuHrCzs2IGdO9GsGdq3R4cOCAvz/VxHv364915YrZoGJSIio/hDVwZQ+JmosoJJ2JWLysvDrl3YsgVbt2LPHrRsid698cgjuPXWSgzyyScYNAiHDqF2bd2CEhGRnvykK1dI8q5cVF4e0tORlISkJNSvj0ceQZ8+aNmygu8qKMD992PCBERF6RtPoZ+kybFSCmGxVGFApdiV5VVQgD17sHYtPvwQdeqgf38MGIAmTUp/s8OBRYuwfbvul16r+JM0J1ZKISyWKtiVNaP0X/qCAmRm4v33sXIlmjRB//4YNAjXXPP3G86dQ1AQVq5Emza6h1H6J2kqrJRCWCxVsCtrxj/+0ufnIy0N8fHYuBF9+2LMGLRoAQAvvIBvv8W77xqRwT9+kmbASimExVIFu7Jm/Owv/a+/YulS2O24+WbExGDSJOzbhxtuMGLXfvaT9GOslEJYLFWwK2uGD64gIiIlmKIrExER+Ss+nYKIiEgW7MpERESyYFcmIiKSBbsyERGRLNiViYiIZMGuTEREJAt2ZSIiIlmwKxMREcmCXZmIiEgWNUQHIKMVvWWp585uhVt4ozc5sUDy42Elv2J3pS5ZIElKxq5sRsX+ahb9S8l/QWTDAqmCh5XMij1AoWSB5CkZz2CbC/+BINIcDyvJqVUgzpVNR5KzNET+hIeVzNQqCruyuZR1ko2IfMbDijTEruz/+Fs8EZEquK7s/wr+ghKXPBBR1fGwIg3xZIvpSPt5ACoLCyQ/HlbyU+WTUezKREREsuAZbCIiIlmwKxMREcmCXZmIiEgW7MpERESyYFcmIiKSBbsyERGRLNiViYiIZMGuTEREJAt2ZSIiIlmwKxMREcmCXZmIiEgW7MpERESyYFcmIiKSBbsyERGRLNiVicyr8IGyxV4TkSjsykTmVVBQ4GnGxR4IT0Si8FAkMju2ZCJ5cK5MREQkC3ZlIlPzTJS5qEwkCXZlIvMqPHfNxkwkCa4nERERyYJzZSIiIlmwKxMREcmCXZmIiEgW7MpERESy+H+txULJyx4IbgAAAABJRU5ErkJggg==</ImageFile>
                  <plotstore>
                    <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
                      <commandList>
                        <string>terminal=pngcairo</string>
                        <string>file_name="C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/zfwzmesw"</string>
                        <string>dimensions=[647;309]</string>
                        <string>font="Arial"</string>
                        <string>font_size=8</string>
                        <string>xu_grid=40</string>
                        <string>yv_grid=40</string>
                        <string>xlabel="x"</string>
                        <string>ylabel="y"</string>
                        <string>zlabel="z"</string>
                        <string>xrange=[-3442.0769219416;3474.0962421457]</string>
                        <string>yrange=[-3458.08658204365;3458.08658204365]</string>
                        <string>zrange=[-3458.08658204365;3458.08658204365]</string>
                      </commandList>
                      <prambleList>
                        <string>"set term pngcairo font ',8' enhanced size 647, 309"</string>
                        <string>"set encoding iso_8859_2"</string>
                        <string>"set grid xtics mxtics"</string>
                        <string>"set grid ytics mytics"</string>
                      </prambleList>
                      <plotType>plot2D</plotType>
                      <titleDefault>SAMPLE PLOT</titleDefault>
                      <title>Moment Diagram</title>
                      <titleState>Disable</titleState>
                      <border>Disable</border>
                      <borderVal>4095</borderVal>
                      <textSize>8</textSize>
                      <textSizeState>Disable</textSizeState>
                      <textFont>Arial</textFont>
                      <contour>Disable</contour>
                      <contourType />
                      <contourLevels>5</contourLevels>
                      <pm3d>Disable</pm3d>
                      <pm3dpalette>[blue,red,green]</pm3dpalette>
                      <gridXu>40</gridXu>
                      <gridYv>40</gridYv>
                      <gridState>Custom</gridState>
                      <width>647</width>
                      <height>309</height>
                      <pictureSizeState>Interactive</pictureSizeState>
                      <filename>C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/zfwzmesw</filename>
                      <termType>png</termType>
                      <mapView>Disable</mapView>
                      <xName>x</xName>
                      <yName>y</yName>
                      <zName>z</zName>
                      <xNameS>Default</xNameS>
                      <yNameS>Default</yNameS>
                      <zNameS>Default</zNameS>
                      <xMinRange>-3442.0769219415961</xMinRange>
                      <xMaxRange>3474.0962421456961</xMaxRange>
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                      <yRangeS>Interactive</yRangeS>
                      <zRangeS>Interactive</zRangeS>
                      <xGrid>Enable</xGrid>
                      <yGrid>Enable</yGrid>
                      <zGrid>Disable</zGrid>
                      <xLogarithmic>Disable</xLogarithmic>
                      <yLogarithmic>Disable</yLogarithmic>
                      <zLogarithmic>Disable</zLogarithmic>
                      <xLogBase>10</xLogBase>
                      <yLogBase>10</yLogBase>
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                      <azimuth>60</azimuth>
                      <zenith>60</zenith>
                      <scalAzimuth>-2</scalAzimuth>
                      <scalZenith>-4</scalZenith>
                      <view>Interactive</view>
                      <mouseRedirecting>Disable</mouseRedirecting>
                      <varNameMouseX>MouseX1</varNameMouseX>
                      <varNameMouseY>MouseY1</varNameMouseY>
                      <varNameMouseWheel>MouseW1</varNameMouseWheel>
                      <viewRedirecting>Disable</viewRedirecting>
                      <varNameAzimuth>Azimuth1</varNameAzimuth>
                      <varNameZenith>Zenith1</varNameZenith>
                      <xRedirecting>Disable</xRedirecting>
                      <varNameXmin>MinX1</varNameXmin>
                      <varNameXmax>MaxX1</varNameXmax>
                      <yRedirecting>Disable</yRedirecting>
                      <varNameYmin>MinY1</varNameYmin>
                      <varNameYmax>MaxY1</varNameYmax>
                      <zRedirecting>Disable</zRedirecting>
                      <varNameZmin>MinZ1</varNameZmin>
                      <varNameZmax>MaxZ1</varNameZmax>
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                    <e type="operand">dot</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">points_joined</e>
                    <e type="operand">true</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">filled_func</e>
                    <e type="operand">0</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">M.func</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">xrange</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
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                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">yrange</e>
                    <e type="operand">M.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">M.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">0</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">0</e>
                    <e type="operand">2</e>
                    <e type="operand">2</e>
                    <e type="function" preserve="true" args="6">mat</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">7</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="9">sys</e>
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</ImageFile>
                  <plotstore>
                    <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
                      <commandList>
                        <string>terminal=pngcairo</string>
                        <string>file_name="C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/rk13xn2p"</string>
                        <string>dimensions=[647;308]</string>
                        <string>font="Arial"</string>
                        <string>font_size=8</string>
                        <string>title="Shear Diagram"</string>
                        <string>xu_grid=40</string>
                        <string>yv_grid=40</string>
                        <string>xlabel="x"</string>
                        <string>ylabel="y"</string>
                        <string>zlabel="z"</string>
                        <string>xrange=[-3752.26408641888;3752.26408641888]</string>
                        <string>yrange=[-3752.26408641888;3752.26408641888]</string>
                        <string>zrange=[-3752.26408641888;3752.26408641888]</string>
                      </commandList>
                      <prambleList>
                        <string>"set term pngcairo font ',8' enhanced size 647, 308"</string>
                        <string>"set encoding iso_8859_2"</string>
                        <string>"set grid xtics mxtics"</string>
                        <string>"set grid ytics mytics"</string>
                      </prambleList>
                      <plotType>plot2D</plotType>
                      <titleDefault>SAMPLE PLOT</titleDefault>
                      <title>Shear Diagram</title>
                      <titleState>Custom</titleState>
                      <border>Disable</border>
                      <borderVal>4095</borderVal>
                      <textSize>8</textSize>
                      <textSizeState>Disable</textSizeState>
                      <textFont>Arial</textFont>
                      <contour>Disable</contour>
                      <contourType />
                      <contourLevels>5</contourLevels>
                      <pm3d>Disable</pm3d>
                      <pm3dpalette>[blue,red,green]</pm3dpalette>
                      <gridXu>40</gridXu>
                      <gridYv>40</gridYv>
                      <gridState>Custom</gridState>
                      <width>647</width>
                      <height>308</height>
                      <pictureSizeState>Interactive</pictureSizeState>
                      <filename>C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/rk13xn2p</filename>
                      <termType>png</termType>
                      <mapView>Disable</mapView>
                      <xName>x</xName>
                      <yName>y</yName>
                      <zName>z</zName>
                      <xNameS>Default</xNameS>
                      <yNameS>Default</yNameS>
                      <zNameS>Default</zNameS>
                      <xMinRange>-3752.26408641888</xMinRange>
                      <xMaxRange>3752.26408641888</xMaxRange>
                      <yMinRange>-3752.26408641888</yMinRange>
                      <yMaxRange>3752.26408641888</yMaxRange>
                      <zMinRange>-3752.26408641888</zMinRange>
                      <zMaxRange>3752.26408641888</zMaxRange>
                      <xRangeS>Interactive</xRangeS>
                      <yRangeS>Interactive</yRangeS>
                      <zRangeS>Interactive</zRangeS>
                      <xGrid>Enable</xGrid>
                      <yGrid>Enable</yGrid>
                      <zGrid>Disable</zGrid>
                      <xLogarithmic>Disable</xLogarithmic>
                      <yLogarithmic>Disable</yLogarithmic>
                      <zLogarithmic>Disable</zLogarithmic>
                      <xLogBase>10</xLogBase>
                      <yLogBase>10</yLogBase>
                      <zLogBase>10</zLogBase>
                      <azimuth>60</azimuth>
                      <zenith>60</zenith>
                      <scalAzimuth>-2</scalAzimuth>
                      <scalZenith>-4</scalZenith>
                      <view>Interactive</view>
                      <mouseRedirecting>Disable</mouseRedirecting>
                      <varNameMouseX>MouseX1</varNameMouseX>
                      <varNameMouseY>MouseY1</varNameMouseY>
                      <varNameMouseWheel>MouseW1</varNameMouseWheel>
                      <viewRedirecting>Disable</viewRedirecting>
                      <varNameAzimuth>Azimuth1</varNameAzimuth>
                      <varNameZenith>Zenith1</varNameZenith>
                      <xRedirecting>Disable</xRedirecting>
                      <varNameXmin>MinX1</varNameXmin>
                      <varNameXmax>MaxX1</varNameXmax>
                      <yRedirecting>Disable</yRedirecting>
                      <varNameYmin>MinY1</varNameYmin>
                      <varNameYmax>MaxY1</varNameYmax>
                      <zRedirecting>Disable</zRedirecting>
                      <varNameZmin>MinZ1</varNameZmin>
                      <varNameZmax>MaxZ1</varNameZmax>
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                    <e type="operand">true</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">filled_func</e>
                    <e type="operand">0</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">Q.func</e>
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                    <e type="operand">xrange</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">yrange</e>
                    <e type="operand">Q.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">Q.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">0</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">0</e>
                    <e type="operand">2</e>
                    <e type="operand">2</e>
                    <e type="function" preserve="true" args="6">mat</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">7</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="9">sys</e>
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</ImageFile>
                  <plotstore>
                    <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
                      <commandList>
                        <string>terminal=pngcairo</string>
                        <string>file_name="C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/xnk41otm"</string>
                        <string>dimensions=[647;307]</string>
                        <string>font="Arial"</string>
                        <string>font_size=8</string>
                        <string>xu_grid=40</string>
                        <string>yv_grid=40</string>
                        <string>xlabel="x"</string>
                        <string>ylabel="y"</string>
                        <string>zlabel="z"</string>
                        <string>xrange=[-2.97284988835233;2.97284988835233]</string>
                        <string>yrange=[-2.97284988835233;2.97284988835233]</string>
                        <string>zrange=[-2.97284988835233;2.97284988835233]</string>
                      </commandList>
                      <prambleList>
                        <string>"set term pngcairo font ',8' enhanced size 647, 307"</string>
                        <string>"set encoding iso_8859_2"</string>
                        <string>"set grid xtics mxtics"</string>
                        <string>"set grid ytics mytics"</string>
                      </prambleList>
                      <plotType>plot2D</plotType>
                      <titleDefault>SAMPLE PLOT</titleDefault>
                      <title>Displacement</title>
                      <titleState>Disable</titleState>
                      <border>Disable</border>
                      <borderVal>4095</borderVal>
                      <textSize>8</textSize>
                      <textSizeState>Disable</textSizeState>
                      <textFont>Arial</textFont>
                      <contour>Disable</contour>
                      <contourType />
                      <contourLevels>5</contourLevels>
                      <pm3d>Disable</pm3d>
                      <pm3dpalette>[blue,red,green]</pm3dpalette>
                      <gridXu>40</gridXu>
                      <gridYv>40</gridYv>
                      <gridState>Custom</gridState>
                      <width>647</width>
                      <height>307</height>
                      <pictureSizeState>Interactive</pictureSizeState>
                      <filename>C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/xnk41otm</filename>
                      <termType>png</termType>
                      <mapView>Disable</mapView>
                      <xName>x</xName>
                      <yName>y</yName>
                      <zName>z</zName>
                      <xNameS>Default</xNameS>
                      <yNameS>Default</yNameS>
                      <zNameS>Default</zNameS>
                      <xMinRange>-2.9728498883523264</xMinRange>
                      <xMaxRange>2.9728498883523264</xMaxRange>
                      <yMinRange>-2.9728498883523264</yMinRange>
                      <yMaxRange>2.9728498883523264</yMaxRange>
                      <zMinRange>-2.9728498883523264</zMinRange>
                      <zMaxRange>2.9728498883523264</zMaxRange>
                      <xRangeS>Interactive</xRangeS>
                      <yRangeS>Interactive</yRangeS>
                      <zRangeS>Interactive</zRangeS>
                      <xGrid>Enable</xGrid>
                      <yGrid>Enable</yGrid>
                      <zGrid>Disable</zGrid>
                      <xLogarithmic>Disable</xLogarithmic>
                      <yLogarithmic>Disable</yLogarithmic>
                      <zLogarithmic>Disable</zLogarithmic>
                      <xLogBase>10</xLogBase>
                      <yLogBase>10</yLogBase>
                      <zLogBase>10</zLogBase>
                      <azimuth>60</azimuth>
                      <zenith>60</zenith>
                      <scalAzimuth>-2</scalAzimuth>
                      <scalZenith>-4</scalZenith>
                      <view>Interactive</view>
                      <mouseRedirecting>Disable</mouseRedirecting>
                      <varNameMouseX>MouseX1</varNameMouseX>
                      <varNameMouseY>MouseY1</varNameMouseY>
                      <varNameMouseWheel>MouseW1</varNameMouseWheel>
                      <viewRedirecting>Disable</viewRedirecting>
                      <varNameAzimuth>Azimuth1</varNameAzimuth>
                      <varNameZenith>Zenith1</varNameZenith>
                      <xRedirecting>Disable</xRedirecting>
                      <varNameXmin>MinX1</varNameXmin>
                      <varNameXmax>MaxX1</varNameXmax>
                      <yRedirecting>Disable</yRedirecting>
                      <varNameYmin>MinY1</varNameYmin>
                      <varNameYmax>MaxY1</varNameYmax>
                      <zRedirecting>Disable</zRedirecting>
                      <varNameZmin>MinZ1</varNameZmin>
                      <varNameZmax>MaxZ1</varNameZmax>
                      <option>none;</option>
                    </PlotStore>
                  </plotstore>
                  <input>
                    <e type="operand">point_type</e>
                    <e type="operand">dot</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">points_joined</e>
                    <e type="operand">true</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">filled_func</e>
                    <e type="operand">0</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">user_preamble</e>
                    <e type="operand" style="string">set style fill transparent solid 0.5 noborder</e>
                    <e type="operand">1</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="3">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">fill_color</e>
                    <e type="operand">blue</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">w.func</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">0</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">0</e>
                    <e type="operand">2</e>
                    <e type="operand">2</e>
                    <e type="function" preserve="true" args="6">mat</e>
                    <e type="function" args="1">points</e>
                    <e type="operand">xrange</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">x.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">yrange</e>
                    <e type="operand">w.out</e>
                    <e type="function" preserve="true" args="1">Min</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">w.out</e>
                    <e type="function" preserve="true" args="1">Max</e>
                    <e type="operand">1.05</e>
                    <e type="operator" args="2">*</e>
                    <e type="operand">2</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="4">sys</e>
                    <e type="operator" args="2">≡</e>
                    <e type="operand">9</e>
                    <e type="operand">1</e>
                    <e type="function" preserve="true" args="11">sys</e>
                  </input>
                </maximaplugin>
              </region>
            </region>
          </region>
        </region>
      </region>
    </region>
  </region>
</regions>