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    <calculation>
      <precision>3</precision>
      <exponentialThreshold>15</exponentialThreshold>
      <fractions>decimal</fractions>
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      <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="9" top="36" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Global Stiffness matrix:</p>
    </text>
  </region>
  <region id="1" left="0" top="72" width="795" height="224" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">KG</e>
        <e type="operand">51.011</e>
        <e type="operand">17.678</e>
        <e type="operand">3.783</e>
        <e type="operand">10</e>
        <e type="operand">28</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.123</e>
        <e type="operand">10</e>
        <e type="operand">13</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operand">51.011</e>
        <e type="operand">1.123</e>
        <e type="operand">10</e>
        <e type="operand">13</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3.783</e>
        <e type="operand">10</e>
        <e type="operand">28</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.123</e>
        <e type="operand">10</e>
        <e type="operand">13</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">61.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1.123</e>
        <e type="operand">10</e>
        <e type="operand">13</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">45.118</e>
        <e type="operand">11.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">11.785</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">11.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">50</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">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">17.678</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</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">17.678</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="66">mat</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">mm</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
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  </region>
  <region id="2" left="18" top="315" width="102" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Load Vector</p>
    </text>
  </region>
  <region id="3" left="135" top="324" width="91" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">P</e>
        <e type="operand">0</e>
        <e type="operand">10</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">0</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="27" top="495" width="234" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Solution for displacements:</p>
    </text>
  </region>
  <region id="5" left="99" top="531" width="202" height="188" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">KG</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">P</e>
        <e type="operator" args="2">*</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.183</e>
        <e type="operand">0.527</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.078</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.41</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3.91</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6.09</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="6" left="414" top="585" width="283" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>These displacements are correct!!</p>
    </text>
  </region>
  <region id="7" left="18" top="756" width="478" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Ok, so now name a variable equal to the above, say 'disp'</p>
    </text>
  </region>
  <region id="8" left="27" top="855" width="112" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">disp</e>
        <e type="operand">KG</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">P</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="180" top="873" width="182" height="179" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">disp</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.143</e>
        <e type="operand">0.005</e>
        <e type="operand">0.58</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.129</e>
        <e type="operand">2.121</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2.837</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">8.473</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="10" left="369" top="936" width="357" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>These displacements are not correct - why?</p>
    </text>
  </region>
  <region id="11" left="18" top="1107" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Try with small exponential numbers = 0</p>
    </text>
  </region>
  <region id="12" left="9" top="1143" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Global Stiffness matrix:</p>
    </text>
  </region>
  <region id="13" left="0" top="1179" width="637" height="188" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">KG</e>
        <e type="operand">51.011</e>
        <e type="operand">17.678</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operand">51.011</e>
        <e type="operand">0</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">61.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">45.118</e>
        <e type="operand">11.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">33.333</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">11.785</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">11.785</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11.785</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">50</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">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">17.678</e>
        <e type="operand">17.678</e>
        <e type="operator" args="1">-</e>
        <e type="operand">17.678</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">17.678</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="66">mat</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">mm</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="18" top="1422" width="102" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Load Vector</p>
    </text>
  </region>
  <region id="15" left="135" top="1431" width="91" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">P</e>
        <e type="operand">0</e>
        <e type="operand">10</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">0</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="27" top="1602" width="234" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Solution for displacements:</p>
    </text>
  </region>
  <region id="17" left="99" top="1638" width="202" height="188" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">KG</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">P</e>
        <e type="operator" args="2">*</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.183</e>
        <e type="operand">0.527</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.078</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.41</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3.91</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6.09</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="18" left="414" top="1692" width="283" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>These displacements are correct!!</p>
    </text>
  </region>
  <region id="19" left="18" top="1863" width="478" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Ok, so now name a variable equal to the above, say 'disp'</p>
    </text>
  </region>
  <region id="20" left="27" top="1962" width="112" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">disp</e>
        <e type="operand">KG</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">P</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="180" top="1980" width="183" height="179" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">disp</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">0.183</e>
        <e type="operand">0.527</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.078</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.41</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6.09</e>
        <e type="operand">10</e>
        <e type="operand">17</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="22" left="369" top="2043" width="357" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>These displacements are now correct - why?</p>
    </text>
  </region>
  <region id="23" left="27" top="2214" width="692" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>So this has something to do with the very small non-zero numbers, but why does this</p>
    </text>
  </region>
  <region id="24" left="27" top="2232" width="635" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>work when evaluating the function, but not when you assign a variable to it.</p>
    </text>
  </region>
</regions>