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        <e type="operand" style="unit">m</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
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      <input>
        <e type="operand">section</e>
      </input>
      <result action="numeric">
        <e type="operand">5</e>
      </result>
    </math>
  </region>
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      <input>
        <e type="operand">beam</e>
        <e type="operand">sect</e>
        <e type="operand">section</e>
        <e type="operand">1</e>
        <e type="function" args="3">el</e>
        <e type="operand" style="string"> x </e>
        <e type="operand">sect</e>
        <e type="operand">section</e>
        <e type="operand">2</e>
        <e type="function" args="3">el</e>
        <e type="function" args="1">var2str</e>
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        <e type="operator" args="2">:</e>
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    </math>
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      <input>
        <e type="operand">beam</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">203 x 102 x 23 kg/m</e>
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  <region id="12" top="639" color="#000000" bgColor="#ffffff">
    <area collapsed="true" />
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">D</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">3</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
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        <input>
          <e type="operand">B</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">4</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">t</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">5</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">T</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">6</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">D</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
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        <result action="numeric">
          <e type="operand">203.2</e>
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      </math>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">B</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
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          <e type="operand">101.6</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">t</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
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        <result action="numeric">
          <e type="operand">5.2</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">T</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">9.3</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">r</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">7</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">d</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">8</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
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      </math>
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    <region id="23" left="351" top="747" width="153" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">bt</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">9</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">dt</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">10</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">r</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
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        <result action="numeric">
          <e type="operand">7.6</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">d</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
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          <e type="operand">169.4</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">bt</e>
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        <result action="numeric">
          <e type="operand">5.46</e>
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      <math decimalPlaces="4" exponentialThreshold="5">
        <input>
          <e type="operand">dt</e>
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        <result action="numeric">
          <e type="operand">32.6</e>
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        <input>
          <e type="operand">Ixx</e>
          <e type="operand">sect</e>
          <e type="operand">section</e>
          <e type="operand">11</e>
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        <input>
          <e type="operand">Iyy</e>
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          <e type="operand">section</e>
          <e type="operand">12</e>
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        <input>
          <e type="operand">rxx</e>
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          <e type="operand">section</e>
          <e type="operand">13</e>
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        <input>
          <e type="operand">ryy</e>
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          <e type="operand">section</e>
          <e type="operand">14</e>
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          <e type="operator" args="2">:</e>
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        <input>
          <e type="operand">Ixx</e>
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        <contract>
          <e type="operand" style="unit">cm</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">2090</e>
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      <math>
        <input>
          <e type="operand">Iyy</e>
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        <contract>
          <e type="operand" style="unit">cm</e>
          <e type="operand">4</e>
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        <result action="numeric">
          <e type="operand">163</e>
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      <math>
        <input>
          <e type="operand">rxx</e>
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        <contract>
          <e type="operand" style="unit">cm</e>
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          <e type="operand">ryy</e>
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          <e type="operand" style="unit">cm</e>
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          <e type="operand">15</e>
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          <e type="operand">16</e>
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          <e type="operand">17</e>
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          <e type="operand">18</e>
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          <e type="operand">H</e>
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          <e type="operand">21</e>
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          <e type="operand">J</e>
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          <e type="operand">H</e>
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          <e type="operand">J</e>
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          <e type="operand">A</e>
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    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>Class of Section</div></span>]]></writer>
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<div><span style="font-size: 12pt"><strong>Design to BS 5950 2000</strong></span></div></span>]]></writer>
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        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="59" left="225" top="1206" width="230" height="219" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Class</e>
        <e type="operand">d</e>
        <e type="operand">t</e>
        <e type="operator" args="2">/</e>
        <e type="operand">79</e>
        <e type="operand">ep</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand" style="string">Plastic</e>
        <e type="operand">d</e>
        <e type="operand">t</e>
        <e type="operator" args="2">/</e>
        <e type="operand">98</e>
        <e type="operand">ep</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand" style="string">Compact</e>
        <e type="operand">d</e>
        <e type="operand">t</e>
        <e type="operator" args="2">/</e>
        <e type="operand">120</e>
        <e type="operand">ep</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand" style="string">Semi Compact</e>
        <e type="operand" style="string">Slender</e>
        <e type="function" args="3">if</e>
        <e type="function" args="3">if</e>
        <e type="function" args="3">if</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="60" left="477" top="1305" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Class</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Plastic</e>
      </result>
    </math>
  </region>
  <region id="61" left="27" top="1359" width="82" height="24" color="#000000" bgColor="#80ff80" fontSize="10">
    <math>
      <input>
        <e type="operand">Fv</e>
        <e type="operand">12</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="62" left="27" top="1404" width="86" height="24" color="#000000" bgColor="#80ff80" fontSize="10">
    <math>
      <input>
        <e type="operand">Mx</e>
        <e type="operand">8</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="63" left="36" top="1485" width="114" height="24" color="#000000" bgColor="#80ff80" fontSize="10">
    <math>
      <input>
        <e type="operand">span</e>
        <e type="operand">2000</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="64" left="36" top="1539" width="104" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>Shear Capacity</div></span>]]></writer>
  </region>
  <region id="65" left="225" top="1557" width="74" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Av</e>
        <e type="operand">t</e>
        <e type="operand">D</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="66" left="333" top="1557" width="114" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Av</e>
      </input>
      <contract>
        <e type="operand" style="unit">cm</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
      </contract>
      <result action="numeric">
        <e type="operand">10.57</e>
      </result>
    </math>
  </region>
  <region id="67" left="45" top="1602" width="122" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Pv</e>
        <e type="operand">0.6</e>
        <e type="operand">Py</e>
        <e type="operator" args="2">*</e>
        <e type="operand">Av</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="68" left="54" top="1656" width="112" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Pv</e>
      </input>
      <contract>
        <e type="operand" style="unit">kN</e>
      </contract>
      <result action="numeric">
        <e type="operand">174.35</e>
      </result>
    </math>
  </region>
  <region id="69" left="18" top="1728" width="300" height="75" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">shear_check</e>
        <e type="operand">Fv</e>
        <e type="operand">Pv</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">shear ok</e>
        <e type="operand" style="string">section overloaded</e>
        <e type="function" args="3">if</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="70" left="369" top="1728" width="366" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Shear_buckling</e>
        <e type="operand">dt</e>
        <e type="operand">63</e>
        <e type="operand">ep</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand" style="string">check for shear buckling</e>
        <e type="operand" style="string">no check required</e>
        <e type="function" args="3">if</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="71" left="27" top="1845" width="208" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">shear_check</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">shear ok</e>
      </result>
    </math>
  </region>
  <region id="72" left="387" top="1854" width="304" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Shear_buckling</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">no check required</e>
      </result>
    </math>
  </region>
  <region id="73" left="450" top="1971" width="285" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">restraint_type</e>
        <e type="operand" style="string">at ends only</e>
        <e type="operand" style="string">at intervals</e>
        <e type="operand" style="string">interval &amp; end</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="74" left="162" top="2052" width="210" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <comboboxlist input="restraint_type" inputColumn="1" selected="1" output="Default" outputColumn="2" layout="DropDownList" items="5" firstItem="0" font="Courier New, 10pt" optimization="numeric" decimalPlaces="15" exponentialThreshold="15" significantFigures="0" fractions="decimal" trailingZeros="false" overrideDP="true">
      <ul>
        <li>"at ends only"</li>
        <li>"at intervals"</li>
        <li>"interval &amp; end"</li>
      </ul>
      <input>
        <e type="operand">Letype</e>
      </input>
    </comboboxlist>
  </region>
  <region id="75" left="432" top="2079" width="96" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Letype</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="76" left="27" top="2133" width="393" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>Distance between restraints or between last restraint and support</div></span>]]></writer>
  </region>
  <region id="77" left="36" top="2169" width="154" height="24" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">rest_dist</e>
        <e type="operand">1000</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="78" left="288" top="2178" width="278" height="74" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Letype</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">span1</e>
        <e type="operand">span</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Letype</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">span1</e>
        <e type="operand">rest_dist</e>
        <e type="operator" args="2">:</e>
        <e type="function" args="2">if</e>
        <e type="function" args="3">if</e>
      </input>
    </math>
  </region>
  <region id="79" left="585" top="2205" width="120" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">span1</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">2000</e>
      </result>
    </math>
  </region>
  <region id="80" left="198" top="2277" width="515" height="103" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">support</e>
        <e type="operand" style="string">both flanges fully restrained</e>
        <e type="operand">0.7</e>
        <e type="operand">span1</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="string">both flanges partially restrained</e>
        <e type="operand">0.85</e>
        <e type="operand">span1</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="string">both flanges free</e>
        <e type="operand">1</e>
        <e type="operand">span1</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="string">positive connection</e>
        <e type="operand">1</e>
        <e type="operand">span1</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">D</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand" style="string">dead bearing</e>
        <e type="operand">1.2</e>
        <e type="operand">span1</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">D</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="function" args="12">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="81" left="27" top="2421" width="343" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <comboboxlist input="support" inputColumn="1" selected="5" output="Element" outputColumn="2" layout="DropDownList" items="5" firstItem="0" font="Courier New, 10pt" optimization="numeric" decimalPlaces="15" exponentialThreshold="15" significantFigures="0" fractions="decimal" trailingZeros="false" overrideDP="true">
      <ul>
        <li>"both flanges fully restrained"</li>
        <li>"both flanges partially restrained"</li>
        <li>"both flanges free"</li>
        <li>"positive connection"</li>
        <li>"dead bearing"</li>
      </ul>
      <input>
        <e type="operand">support1</e>
      </input>
    </comboboxlist>
  </region>
  <region id="82" left="387" top="2421" width="343" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <comboboxlist input="support" inputColumn="1" selected="5" output="Element" outputColumn="2" layout="DropDownList" items="5" firstItem="0" font="Courier New, 10pt" optimization="numeric" decimalPlaces="15" exponentialThreshold="15" significantFigures="0" fractions="decimal" trailingZeros="false" overrideDP="true">
      <ul>
        <li>"both flanges fully restrained"</li>
        <li>"both flanges partially restrained"</li>
        <li>"both flanges free"</li>
        <li>"positive connection"</li>
        <li>"dead bearing"</li>
      </ul>
      <input>
        <e type="operand">support2</e>
      </input>
    </comboboxlist>
  </region>
  <region id="83" left="27" top="2493" width="148" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">support1</e>
      </input>
      <result action="numeric">
        <e type="operand">2.81</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="84" left="387" top="2493" width="148" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">support2</e>
      </input>
      <result action="numeric">
        <e type="operand">2.81</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="85" left="81" top="2556" width="374" height="163" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Letype</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">Le</e>
        <e type="operand">support1</e>
        <e type="operand">support2</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Letype</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">Le</e>
        <e type="operand">rest_dist</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Letype</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">Le</e>
        <e type="operand">rest_dist</e>
        <e type="operand">support1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
        <e type="function" args="2">if</e>
        <e type="function" args="3">if</e>
        <e type="function" args="3">if</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
      </input>
    </math>
  </region>
  <region id="86" left="504" top="2637" width="112" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Le</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">2806.4</e>
      </result>
    </math>
  </region>
  <region id="87" left="36" top="3078" width="68" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λ</e>
        <e type="operand">Le</e>
        <e type="operand">ryy</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="88" left="153" top="3078" width="172" height="53" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λL0</e>
        <e type="operand">0.4</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">E</e>
        <e type="operand">Py</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="89" left="405" top="3078" width="143" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>from prop tables</p>
    </text>
  </region>
  <region id="90" left="594" top="3078" width="80" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">u</e>
      </input>
      <result action="numeric">
        <e type="operand">0.89</e>
      </result>
    </math>
  </region>
  <region id="91" left="396" top="3114" width="168" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>for rolled sections</p>
    </text>
  </region>
  <region id="92" left="594" top="3114" width="54" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">βw</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="93" left="27" top="3123" width="96" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λ</e>
      </input>
      <result action="numeric">
        <e type="operand">118.41</e>
      </result>
    </math>
  </region>
  <region id="94" left="153" top="3141" width="104" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λL0</e>
      </input>
      <result action="numeric">
        <e type="operand">34.31</e>
      </result>
    </math>
  </region>
  <region id="95" left="594" top="3141" width="62" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">αLT</e>
        <e type="operand">7</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="96" left="27" top="3177" width="188" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0.05</e>
        <e type="operand">λ</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</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="bracket">(</e>
        <e type="operand">0.25</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="97" left="288" top="3195" width="140" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λLT</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="operator" args="2">*</e>
        <e type="operand">λ</e>
        <e type="operator" args="2">*</e>
        <e type="operand">βw</e>
        <e type="function" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="98" left="504" top="3195" width="124" height="53" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">PE</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">E</e>
        <e type="operand">λLT</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="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="99" left="288" top="3240" width="104" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">λLT</e>
      </input>
      <result action="numeric">
        <e type="operand">84.91</e>
      </result>
    </math>
  </region>
  <region id="100" left="504" top="3249" width="138" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">PE</e>
      </input>
      <contract>
        <e type="operand" style="unit">N</e>
        <e type="operand" style="unit">mm</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">280.6</e>
      </result>
    </math>
  </region>
  <region id="101" left="36" top="3267" width="80" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
      </input>
      <result action="numeric">
        <e type="operand">0.81</e>
      </result>
    </math>
  </region>
  <region id="102" left="27" top="3312" width="170" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ηLT</e>
        <e type="operand">αLT</e>
        <e type="operand">λLT</e>
        <e type="operand">λL0</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">1000</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="103" left="252" top="3321" width="180" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ΦLT</e>
        <e type="operand">Py</e>
        <e type="operand">ηLT</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">PE</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="104" left="27" top="3375" width="96" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ηLT</e>
      </input>
      <result action="numeric">
        <e type="operand">0.35</e>
      </result>
    </math>
  </region>
  <region id="105" left="36" top="3411" width="224" height="61" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Pb</e>
        <e type="operand">PE</e>
        <e type="operand">Py</e>
        <e type="operator" args="2">*</e>
        <e type="operand">ΦLT</e>
        <e type="operand">ΦLT</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">PE</e>
        <e type="operand">Py</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">0.5</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>
      </input>
    </math>
  </region>
  <region id="106" left="315" top="3429" width="146" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Pb</e>
      </input>
      <contract>
        <e type="operand" style="unit">N</e>
        <e type="operand" style="unit">mm</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">154.03</e>
      </result>
    </math>
  </region>
  <region id="107" left="36" top="3510" width="98" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Mb</e>
        <e type="operand">Pb</e>
        <e type="operand">Sxx</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="108" left="171" top="3510" width="116" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Mb</e>
      </input>
      <contract>
        <e type="operand" style="unit">kN</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">35.74</e>
      </result>
    </math>
  </region>
  <region id="109" left="333" top="3510" width="179" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>Buckling resistance moment</div></span>]]></writer>
  </region>
  <region id="110" left="171" top="3546" width="84" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Mx</e>
      </input>
      <contract>
        <e type="operand" style="unit">kN</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">8</e>
      </result>
    </math>
  </region>
  <region id="111" left="333" top="3546" width="106" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>Design Moment</div></span>]]></writer>
  </region>
  <region id="112" left="171" top="3591" width="94" height="24" color="#000000" bgColor="#80ff80" fontSize="10">
    <math>
      <input>
        <e type="operand">mLT</e>
        <e type="operand">0.925</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="113" left="333" top="3591" width="98" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: #000000; background-color: Transparent; text-align: left; line-height: 115%">
<div>From Table 18</div></span>]]></writer>
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  <region id="114" left="171" top="3636" width="128" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Mb</e>
        <e type="operand">mLT</e>
        <e type="operator" args="2">/</e>
      </input>
      <contract>
        <e type="operand" style="unit">kN</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">38.63</e>
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    </math>
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  <region id="115" left="45" top="3699" width="268" height="92" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">beam_check</e>
        <e type="operand">Mx</e>
        <e type="operand">Mb</e>
        <e type="operand">mLT</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≤</e>
        <e type="operand" style="string">Beam Suitable</e>
        <e type="operand" style="string">BEAM UNSUITABLE</e>
        <e type="function" args="3">if</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="116" left="54" top="3816" width="240" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">beam_check</e>
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      <result action="numeric">
        <e type="operand" style="string">Beam Suitable</e>
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  <region id="117" left="315" top="3816" width="240" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">beam</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">203 x 102 x 23 kg/m</e>
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