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  <settings>
    <identity>
      <id>c05a5706-56d9-4872-9eca-ad0020c77533</id>
      <revision>140</revision>
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    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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>
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  <region id="0" left="18" top="18" width="455" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Beispiel für Integration von Sprungfunktionen mit Maxima</p>
    </text>
    <text lang="eng">
      <p bold="true">Example for integration of step functions using Maxima</p>
    </text>
  </region>
  <region id="1" left="603" top="18" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="2" left="603" top="36" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Examples.sm">Beispiele</p>
    </text>
    <text lang="eng">
      <p href="Examples.sm">Examples</p>
    </text>
  </region>
  <region id="3" left="18" top="45" width="387" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">restart</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Restart complete.</e>
      </result>
    </math>
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  <region id="4" left="18" top="72" width="774" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">all</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">The functions int(), diff(), det(), lim() and sum() now use Maxima.</e>
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  <region id="5" left="27" top="99" width="415" height="155" color="#000000" bgColor="#ffffff">
    <picture readOnly="false">
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        <e type="operand">1</e>
        <e type="operand">2</e>
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        <e type="operand">1</e>
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    <math optimize="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
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        <e type="function" args="1">step</e>
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  <region id="8" left="261" top="315" width="86" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Streckenlast </p>
    </text>
    <text lang="eng">
      <p>line load</p>
    </text>
  </region>
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    <math optimize="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">I</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">x</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
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        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
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  <region id="10" left="18" top="351" width="77" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="0">
      <input>
        <e type="operand">F</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
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    </math>
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  <region id="11" left="18" top="396" width="373" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Integration  der Streckenlast und Addition der Einzelkräfte</p>
    </text>
    <text lang="eng">
      <p>Integration of the line load and point loads</p>
    </text>
  </region>
  <region id="12" left="18" top="414" width="443" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="0">
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        <e type="operand">x</e>
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        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
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        <e type="operator" args="2">+</e>
        <e type="operand">F</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="1">step</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">F.B</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
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        <e type="function" args="1">step</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">Q.0</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
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  </region>
  <region id="13" left="459" top="432" width="102" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Querkraft</p>
    </text>
    <text lang="eng">
      <p>shear force</p>
    </text>
  </region>
  <region id="14" left="18" top="468" width="149" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">M</e>
        <e type="operand">x</e>
        <e type="function" args="1">Q</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
        <e type="operand">M.0</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="15" left="459" top="477" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Biegemoment </p>
    </text>
    <text lang="eng">
      <p>bending moment</p>
    </text>
  </region>
  <region id="16" left="18" top="513" width="153" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">φ</e>
        <e type="operand">x</e>
        <e type="function" args="1">M</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
        <e type="operand">φ.0</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="459" top="522" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Neigungswinkel </p>
    </text>
    <text lang="eng">
      <p>slope</p>
    </text>
  </region>
  <region id="18" left="18" top="558" width="158" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">w</e>
        <e type="operand">x</e>
        <e type="function" args="1">φ</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
        <e type="operator" args="1">-</e>
        <e type="operand">w.0</e>
        <e type="operator" args="2">+</e>
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    </math>
  </region>
  <region id="19" left="459" top="567" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Durchsenkung </p>
    </text>
    <text lang="eng">
      <p>deflection</p>
    </text>
  </region>
  <region id="20" left="18" top="603" width="414" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Randbedingungen zur Bestimmung der unbekannten Konstanten 
(2 Reaktionskräfte und 4 Integrationskonstanten)</p>
    </text>
    <text lang="eng">
      <p>boundary conditions to determine the unknowns
(2 support reactions and 4 integration constants)</p>
    </text>
  </region>
  <region id="21" left="18" top="657" width="123" height="35" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="function" args="1">Q</e>
        <e type="operand">F.A</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="22" left="225" top="657" width="266" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Querkraft am linken Rand</p>
    </text>
    <text lang="eng">
      <p>Shear force at the left support</p>
    </text>
  </region>
  <region id="23" left="18" top="693" width="137" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">Q</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="24" left="225" top="693" width="290" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Querkraftfreiheit am rechten Ende</p>
    </text>
    <text lang="eng">
      <p>shear force at free right boundary</p>
    </text>
  </region>
  <region id="25" left="18" top="729" width="114" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="function" args="1">M</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="26" left="225" top="729" width="233" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Momentenfreiheit am linken Rand</p>
    </text>
    <text lang="eng">
      <p>Moment at the left boundary</p>
    </text>
  </region>
  <region id="27" left="18" top="765" width="137" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">M</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="28" left="225" top="765" width="241" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Momentenfreiheit am rechten Rand</p>
    </text>
    <text lang="eng">
      <p>Moment at the right boundary</p>
    </text>
  </region>
  <region id="29" left="18" top="801" width="114" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="function" args="1">w</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="30" left="225" top="801" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Durchsenkung bei A gleich Null</p>
    </text>
    <text lang="eng">
      <p>Deflection at the left support</p>
    </text>
  </region>
  <region id="31" left="18" top="828" width="141" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">w</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="225" top="837" width="266" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Durchsenkung bei B gleich Null</p>
    </text>
    <text lang="eng">
      <p>Deflection at the right support</p>
    </text>
  </region>
  <region id="33" left="18" top="873" width="249" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Lösung des Gleichungssystems</p>
    </text>
    <text lang="eng">
      <p underline="true">Solve the system of equations</p>
    </text>
  </region>
  <region id="34" left="513" top="873" width="239" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
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        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="function" args="1">assume</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
      </result>
    </math>
  </region>
  <region id="35" left="27" top="909" width="157" height="164" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
      </input>
      <result action="symbolic">
        <e type="operand">F.A</e>
        <e type="operand">F.B</e>
        <e type="operand">M.0</e>
        <e type="operand">Q.0</e>
        <e type="operand">w.0</e>
        <e type="operand">φ.0</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="36" left="315" top="909" width="407" height="278" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">Gl</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
        <e type="function" preserve="true" args="2">LinSolve</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
        <e type="operand">4</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">37</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">96</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">365</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">576</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">sys</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
      </result>
    </math>
  </region>
  <region id="37" left="18" top="1134" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Auflagerreaktionen</p>
    </text>
    <text lang="eng">
      <p>Support reactions</p>
    </text>
  </region>
  <region id="38" left="207" top="1134" width="66" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">F.A</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="39" left="315" top="1134" width="66" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">F.B</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="40" left="18" top="1206" width="424" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="2.46662327155825" scale_y="6.52768647333069" scale_z="3.85453358563704" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-172" transpose_y="-35" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">q</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">I</e>
        <e type="operator" args="2">*</e>
      </input>
    </plot>
  </region>
  <region id="41" left="450" top="1215" width="135" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maximalwerte:</p>
    </text>
    <text lang="eng">
      <p>Extremal values</p>
    </text>
  </region>
  <region id="42" left="18" top="1368" width="424" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="1.45651637562243" scale_y="6.52768647333069" scale_z="2.27606353698281" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-170" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">Q</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">I</e>
        <e type="operator" args="2">*</e>
      </input>
    </plot>
  </region>
  <region id="43" left="450" top="1377" width="229" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0.00001</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">Q</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.8333</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="44" left="18" top="1530" width="424" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="5.47580732741344" scale_y="6.46240960859738" scale_z="8.55691401900167" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-169" transpose_y="-11" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">M</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</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</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">I</e>
        <e type="operator" args="2">*</e>
      </input>
    </plot>
  </region>
  <region id="45" left="450" top="1539" width="152" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">M</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.3333</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="46" left="18" top="1701" width="424" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="7.97560304213099" scale_y="6.42893615251815" scale_z="12.4632853934691" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-166" transpose_y="5" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">φ</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">I</e>
        <e type="operator" args="2">*</e>
      </input>
    </plot>
  </region>
  <region id="47" left="450" top="1701" width="162" height="58" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">0</e>
        <e type="function" args="1">φ</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.1372</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="48" left="18" top="1881" width="424" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="17.0964134341139" scale_y="6.42893615251815" scale_z="26.7161591052768" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-167" transpose_y="7" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">w</e>
        <e type="operator" args="1">-</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">I</e>
        <e type="operator" args="2">*</e>
      </input>
    </plot>
  </region>
  <region id="49" left="450" top="1890" width="310" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.0</e>
        <e type="function" args="1">φ</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">FindRoot</e>
      </input>
      <result action="numeric">
        <e type="operand">0.6771</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="50" left="450" top="1926" width="162" height="58" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.0</e>
        <e type="function" args="1">w</e>
      </input>
      <contract>
        <e type="operand">F</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.0593</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand" preserve="false" style="unit">EI</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
</regions>