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      <revision>21</revision>
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      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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      <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="0" top="9" width="265" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true" underline="true">Steel Wide Flange Member Design</p>
    </text>
  </region>
  <region id="1" left="9" top="36" width="626" height="52" color="#000000" bgColor="#ffffff" fontSize="7">
    <text lang="eng">
      <p>Directions
Place the 3 commands directly below this at the top of the calculation or they will slow down the worksheet
Place the spreadsheet "steel_shape_data" in the folder that this calculation is in
Enter shape exactly as shown in AISC spreadsheet when entering shape and material (refer to spreadsheet)</p>
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    <math>
      <input>
        <e type="operand" style="string" />
        <e type="function" preserve="true" args="1">DocumentDirectory</e>
        <e type="function" preserve="true" args="1">CurrentDirectory</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">C:\Users\VNA2\Dropbox\Smath Calcs\2014 02 24 SMath 0.97.5154 Portable\snippets\</e>
      </result>
    </math>
  </region>
  <region id="3" left="0" top="99" width="403" height="27" color="#000000" bgColor="#ffffff" fontSize="7">
    <math optimize="2">
      <input>
        <e type="operand">SP</e>
        <e type="operand" style="string">Steel_Shape_Data.xlsx</e>
        <e type="operand" style="string">Sheet2</e>
        <e type="operand" style="string">A1</e>
        <e type="operand" style="string">CA274</e>
        <e type="function" preserve="true" args="4">importData.XLSX</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="4" left="0" top="117" width="478" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math optimize="2">
      <input>
        <e type="operand">MATRL</e>
        <e type="operand" style="string">Steel_Shape_Data.xlsx</e>
        <e type="operand" style="string">Material</e>
        <e type="operand" style="string">A3</e>
        <e type="operand" style="string">D10</e>
        <e type="function" preserve="true" args="4">importData.XLSX</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="9" top="153" width="51" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Forces</p>
    </text>
  </region>
  <region id="6" left="252" top="171" width="71" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">P.r</e>
        <e type="operand">0</e>
        <e type="operand" style="unit">kip</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="18" top="180" width="47" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Axial </p>
    </text>
  </region>
  <region id="8" left="18" top="198" width="136" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment about x-axis</p>
    </text>
  </region>
  <region id="9" left="252" top="198" width="101" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M'.x</e>
        <e type="operand">25</e>
        <e type="operand" style="unit">kip</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="18" top="225" width="136" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment about y-axis</p>
    </text>
  </region>
  <region id="11" left="252" top="225" width="101" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M'.y</e>
        <e type="operand">10</e>
        <e type="operand" style="unit">kip</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="18" top="252" width="149" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Torque (about z-axis)</p>
    </text>
  </region>
  <region id="13" left="252" top="252" width="89" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.z</e>
        <e type="operand">0</e>
        <e type="operand" style="unit">kip</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="18" top="279" width="201" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Bending moment shape modifier
for axial - bending load</p>
    </text>
  </region>
  <region id="15" left="252" top="279" width="52" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">C.mx</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="306" top="279" width="52" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">C.my</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="18" top="306" width="168" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>ASD Axial magafier coef.</p>
    </text>
  </region>
  <region id="18" left="252" top="306" width="52" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">α</e>
        <e type="operand">1.6</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="19" left="18" top="333" width="168" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Bending mmoent shape mod
for LTB</p>
    </text>
  </region>
  <region id="20" left="252" top="333" width="46" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">C.b</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="9" top="369" width="90" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Input Values</p>
    </text>
  </region>
  <region id="22" left="18" top="387" width="98" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Shp</e>
        <e type="operand" style="string">W18X50</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="23" left="315" top="387" width="70" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.b</e>
        <e type="operand">20</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="24" left="18" top="405" width="102" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Length of Beam</p>
    </text>
  </region>
  <region id="25" left="315" top="414" width="76" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.bb</e>
        <e type="operand">20</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="26" left="18" top="423" width="292" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Typical unbraced length (can overide below)</p>
    </text>
  </region>
  <region id="27" left="18" top="450" width="116" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Unbraced lengths</p>
    </text>
  </region>
  <region id="28" left="198" top="450" width="59" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.x</e>
        <e type="operand">L.bb</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="270" top="450" width="59" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.y</e>
        <e type="operand">L.bb</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="333" top="450" width="64" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.z</e>
        <e type="operand">4</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="31" left="396" top="450" width="114" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>(Use Lz for LTB)</p>
    </text>
  </region>
  <region id="32" left="18" top="477" width="156" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Boundry/End conditions</p>
    </text>
  </region>
  <region id="33" left="198" top="486" width="46" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">K.x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="34" left="270" top="486" width="46" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">K.y</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="35" left="333" top="486" width="46" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">K.z</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="36" left="9" top="495" width="67" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Material </p>
    </text>
  </region>
  <region id="37" left="18" top="522" width="103" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Yield strength</p>
    </text>
  </region>
  <region id="38" left="144" top="522" width="85" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">MTL</e>
        <e type="operand" style="string">A992</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="39" left="18" top="549" width="34" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>MOE </p>
    </text>
  </region>
  <region id="40" left="144" top="549" width="97" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">E.s</e>
        <e type="operand">29000</e>
        <e type="operand" style="unit">ksi</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="41" left="9" top="576" width="103" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Safety Factors</p>
    </text>
  </region>
  <region id="42" left="45" top="594" width="60" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <text lang="eng">
      <p>Bending </p>
    </text>
  </region>
  <region id="43" left="162" top="594" width="65" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Ω.b</e>
        <e type="operand">1.67</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="44" left="45" top="612" width="87" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <text lang="eng">
      <p>Compression </p>
    </text>
  </region>
  <region id="45" left="162" top="612" width="65" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Ω.c</e>
        <e type="operand">1.67</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="46" left="45" top="630" width="47" height="21" color="#000000" bgColor="#80ffff" fontSize="8">
    <text lang="eng">
      <p>Shear </p>
    </text>
  </region>
  <region id="47" left="162" top="630" width="59" height="29" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Ω.v</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="48" top="657" color="#000000" bgColor="#ffffff">
    <area collapsed="false" />
    <region id="49" left="18" top="666" width="168" height="23" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">SZ</e>
          <e type="operand">SP</e>
          <e type="operand">Shp</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="3">findrows</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="50" left="18" top="693" width="2452" height="23" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">SZ</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">W</e>
          <e type="operand" style="string">W18X50</e>
          <e type="operand" style="string">W18X50</e>
          <e type="operand" style="string">F</e>
          <e type="operand">50</e>
          <e type="operand">14.7</e>
          <e type="operand">18</e>
          <e type="operand">18</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">7.5</e>
          <e type="operand">7.5</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">0.355</e>
          <e type="operand">0.375</e>
          <e type="operand">0.1875</e>
          <e type="operand">0.57</e>
          <e type="operand">0.5625</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">0.972</e>
          <e type="operand">1.25</e>
          <e type="operand">0.8125</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">6.57</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">45.2</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">800</e>
          <e type="operand">101</e>
          <e type="operand">88.9</e>
          <e type="operand">7.38</e>
          <e type="operand">40.1</e>
          <e type="operand">16.6</e>
          <e type="operand">10.7</e>
          <e type="operand">1.65</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">1.24</e>
          <e type="operand">3040</e>
          <e type="operand" style="string">–</e>
          <e type="operand">32.7</e>
          <e type="operand">34.9</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">17.7</e>
          <e type="operand">49.9</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand" style="string">–</e>
          <e type="operand">1.98</e>
          <e type="operand">17.4</e>
          <e type="operand">57.1</e>
          <e type="operand">64.6</e>
          <e type="operand">1</e>
          <e type="operand">79</e>
          <e type="function" preserve="true" args="81">mat</e>
        </result>
      </math>
    </region>
    <region id="51" left="18" top="711" width="85" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">SZ</e>
          <e type="operand">6</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <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="52" left="99" top="711" width="84" height="27" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">A</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
        </contract>
        <result action="numeric">
          <e type="operand">14.7</e>
        </result>
      </math>
    </region>
    <region id="53" left="189" top="711" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">t.f</e>
          <e type="operand">SZ</e>
          <e type="operand">20</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="54" left="306" top="711" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">I.x</e>
          <e type="operand">SZ</e>
          <e type="operand">39</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="55" left="414" top="711" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">I.y</e>
          <e type="operand">SZ</e>
          <e type="operand">43</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="56" left="540" top="720" width="91" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">J</e>
          <e type="operand">SZ</e>
          <e type="operand">46</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="57" left="648" top="729" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">Q.f</e>
          <e type="operand">SZ</e>
          <e type="operand">53</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="58" left="198" top="738" width="96" height="26" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">bf_2tf</e>
          <e type="operand">SZ</e>
          <e type="operand">33</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="59" left="18" top="747" width="75" height="26" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">d</e>
          <e type="operand">SZ</e>
          <e type="operand">7</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="60" left="306" top="747" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">S.x</e>
          <e type="operand">SZ</e>
          <e type="operand">41</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="61" left="414" top="747" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">S.y</e>
          <e type="operand">SZ</e>
          <e type="operand">45</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="62" left="540" top="747" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">C.w</e>
          <e type="operand">SZ</e>
          <e type="operand">47</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">6</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="63" left="198" top="765" width="82" height="26" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">h_tw</e>
          <e type="operand">SZ</e>
          <e type="operand">36</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="64" left="648" top="765" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">Q.w</e>
          <e type="operand">SZ</e>
          <e type="operand">54</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="65" left="18" top="774" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">t.w</e>
          <e type="operand">SZ</e>
          <e type="operand">17</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="66" left="306" top="774" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">r.x</e>
          <e type="operand">SZ</e>
          <e type="operand">42</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="67" left="414" top="774" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">r.y</e>
          <e type="operand">SZ</e>
          <e type="operand">46</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="68" left="540" top="774" width="104" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">W.no</e>
          <e type="operand">SZ</e>
          <e type="operand">49</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <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="69" left="198" top="792" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">h.o</e>
          <e type="operand">SZ</e>
          <e type="operand">77</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="70" left="306" top="801" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">Z.x</e>
          <e type="operand">SZ</e>
          <e type="operand">40</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="71" left="414" top="801" width="98" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">Z.y</e>
          <e type="operand">SZ</e>
          <e type="operand">44</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="72" left="18" top="810" width="88" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">b.f</e>
          <e type="operand">SZ</e>
          <e type="operand">12</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="73" left="540" top="810" width="104" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">S.w1</e>
          <e type="operand">SZ</e>
          <e type="operand">50</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="74" left="198" top="819" width="94" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">r.ts</e>
          <e type="operand">SZ</e>
          <e type="operand">76</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="75" left="243" top="846" width="217" height="143" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">c</e>
          <e type="operand">SZ</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="string">W</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">1</e>
          <e type="operand">SZ</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="string">C</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operand">SZ</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="string">MC</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">|</e>
          <e type="operand">h.o</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">I.y</e>
          <e type="operand">C.w</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="1">sqrt</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="string">Bad Shape</e>
          <e type="function" preserve="true" args="3">if</e>
          <e type="function" preserve="true" args="3">if</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="76" left="9" top="855" width="67" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
      <text lang="eng">
        <p>Material </p>
      </text>
    </region>
    <region id="77" left="18" top="873" width="188" height="23" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">MT</e>
          <e type="operand">MATRL</e>
          <e type="operand">MTL</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">findrows</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="78" left="18" top="900" width="89" height="30" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">F.y</e>
          <e type="operand">MT</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="79" top="981" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="80" left="0" top="1026" width="260" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Clasification of Section - Compactness</p>
    </text>
  </region>
  <region id="81" left="153" top="1044" width="122" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Flexure - Flanges</p>
    </text>
  </region>
  <region id="82" left="315" top="1044" width="96" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Flexure - Web</p>
    </text>
  </region>
  <region id="83" left="450" top="1044" width="149" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Compression - Flanges</p>
    </text>
  </region>
  <region id="84" left="603" top="1044" width="123" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Compression - Web</p>
    </text>
  </region>
  <region id="85" left="144" top="1071" width="200" height="234" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">λ.ff</e>
        <e type="operand">bf_2tf</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.pff</e>
        <e type="operand">0.38</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.rff</e>
        <e type="operand">1</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">CFF</e>
        <e type="operand">λ.ff</e>
        <e type="operand">λ.pff</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Compact</e>
        <e type="operand">λ.ff</e>
        <e type="operand">λ.rff</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Non-Compact</e>
        <e type="operand" style="string">Slender Flanges</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
      </input>
    </math>
  </region>
  <region id="86" left="306" top="1071" width="180" height="234" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">λ.wf</e>
        <e type="operand">h_tw</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.pwf</e>
        <e type="operand">3.76</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.rwf</e>
        <e type="operand">5.7</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">CFW</e>
        <e type="operand">λ.wf</e>
        <e type="operand">λ.pwf</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Compact</e>
        <e type="operand">λ.wf</e>
        <e type="operand">λ.rwf</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Non-Compact</e>
        <e type="operand" style="string">Slender Webs</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
      </input>
    </math>
  </region>
  <region id="87" left="459" top="1071" width="158" height="140" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">λ.fc</e>
        <e type="operand">bf_2tf</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.rfc</e>
        <e type="operand">0.56</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">CFC</e>
        <e type="operand">λ.fc</e>
        <e type="operand">λ.rfc</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Non-Slender</e>
        <e type="operand" style="string">Slender</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
      </input>
    </math>
  </region>
  <region id="88" left="612" top="1071" width="158" height="140" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">λ.wc</e>
        <e type="operand">h_tw</e>
        <e type="operator" args="2">:</e>
        <e type="operand">λ.rwc</e>
        <e type="operand">1.49</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">CWC</e>
        <e type="operand">λ.wc</e>
        <e type="operand">λ.rwc</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand" style="string">Non-Slender</e>
        <e type="operand" style="string">Slender</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
      </input>
    </math>
  </region>
  <region id="89" left="9" top="1089" width="47" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Ratio </p>
    </text>
  </region>
  <region id="90" left="9" top="1134" width="96" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Compact limit</p>
    </text>
  </region>
  <region id="91" left="9" top="1188" width="123" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Non-compact limit</p>
    </text>
  </region>
  <region id="92" left="153" top="1305" width="112" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">CFF</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Compact</e>
      </result>
    </math>
  </region>
  <region id="93" left="315" top="1305" width="112" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">CFW</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Compact</e>
      </result>
    </math>
  </region>
  <region id="94" left="459" top="1305" width="139" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">CFC</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Non-Slender</e>
      </result>
    </math>
  </region>
  <region id="95" left="621" top="1305" width="112" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">CWC</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Slender</e>
      </result>
    </math>
  </region>
  <region id="96" left="0" top="1341" width="214" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Design for Flexure about X-axis</p>
    </text>
  </region>
  <region id="97" left="288" top="1359" width="106" height="65" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">P.ex</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">E.s</e>
        <e type="operator" args="2">*</e>
        <e type="operand">I.x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">K.x</e>
        <e type="operand">L.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>
      </input>
    </math>
  </region>
  <region id="98" left="18" top="1368" width="110" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Required Moment</p>
    </text>
  </region>
  <region id="99" left="27" top="1386" width="247" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Elastic critical buckling resistance</p>
    </text>
  </region>
  <region id="100" left="477" top="1386" width="127" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">P.ex</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
      </contract>
      <result action="numeric">
        <e type="operand">3975.2573</e>
      </result>
    </math>
  </region>
  <region id="101" left="288" top="1413" width="158" height="77" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">B.1x</e>
        <e type="operand">1</e>
        <e type="operand">C.mx</e>
        <e type="operand">1</e>
        <e type="operand">α</e>
        <e type="operand">P.r</e>
        <e type="operator" args="2">*</e>
        <e type="operand">P.ex</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="2">Max</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="102" left="27" top="1431" width="162" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Second order Moment Mag</p>
    </text>
  </region>
  <region id="103" left="477" top="1449" width="60" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">B.1x</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="104" left="27" top="1476" width="110" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Required Moment</p>
    </text>
  </region>
  <region id="105" left="288" top="1476" width="91" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.rx</e>
        <e type="operand">M'.x</e>
        <e type="operand">B.1x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="106" left="477" top="1485" width="99" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.rx</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">25</e>
      </result>
    </math>
  </region>
  <region id="107" left="18" top="1512" width="67" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Yielding </p>
    </text>
  </region>
  <region id="108" left="288" top="1539" width="79" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.px</e>
        <e type="operand">F.y</e>
        <e type="operand">Z.x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="109" left="27" top="1548" width="162" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Plastic moment capacity</p>
    </text>
  </region>
  <region id="110" left="477" top="1548" width="139" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.px</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">420.8333</e>
      </result>
    </math>
  </region>
  <region id="111" left="9" top="1584" width="181" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Lateral torsional buckling</p>
    </text>
  </region>
  <region id="112" left="36" top="1611" width="149" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Unbraced length - LTB</p>
    </text>
  </region>
  <region id="113" left="252" top="1611" width="53" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.b</e>
        <e type="operand">L.z</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="114" left="477" top="1611" width="62" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.b</e>
      </input>
      <contract>
        <e type="operand" style="unit">ft</e>
      </contract>
      <result action="numeric">
        <e type="operand">4</e>
      </result>
    </math>
  </region>
  <region id="115" left="252" top="1638" width="123" height="53" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.p</e>
        <e type="operand">1.76</e>
        <e type="operand">r.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">E.s</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="116" left="36" top="1647" width="195" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Unbraced length for yielding</p>
    </text>
  </region>
  <region id="117" left="477" top="1656" width="95" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.p</e>
      </input>
      <contract>
        <e type="operand" style="unit">ft</e>
      </contract>
      <result action="numeric">
        <e type="operand">5.8281</e>
      </result>
    </math>
  </region>
  <region id="118" left="36" top="1683" width="67" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Constant </p>
    </text>
  </region>
  <region id="119" left="477" top="1683" width="47" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">c</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="120" left="36" top="1701" width="227" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Unbraced length for inelastic LTB</p>
    </text>
  </region>
  <region id="121" left="45" top="1719" width="379" height="57" color="#000000" bgColor="#ffffff" fontSize="7">
    <math>
      <input>
        <e type="operand">L.r</e>
        <e type="operand">1.95</e>
        <e type="operand">r.ts</e>
        <e type="operator" args="2">*</e>
        <e type="operand">E.s</e>
        <e type="operand">0.7</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operand">J</e>
        <e type="operand">c</e>
        <e type="operator" args="2">*</e>
        <e type="operand">S.x</e>
        <e type="operand">h.o</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">6.76</e>
        <e type="operand">0.7</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">S.x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">h.o</e>
        <e type="operator" args="2">*</e>
        <e type="operand">E.s</e>
        <e type="operand">J</e>
        <e type="operator" args="2">*</e>
        <e type="operand">c</e>
        <e type="operator" args="2">*</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="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="122" left="477" top="1737" width="101" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">L.r</e>
      </input>
      <contract>
        <e type="operand" style="unit">ft</e>
      </contract>
      <result action="numeric">
        <e type="operand">17.6454</e>
      </result>
    </math>
  </region>
  <region id="123" left="198" top="1773" width="315" height="80" color="#000000" bgColor="#ffffff" fontSize="7">
    <math>
      <input>
        <e type="operand">F.cr</e>
        <e type="operand">C.b</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">E.s</e>
        <e type="operator" args="2">*</e>
        <e type="operand">L.b</e>
        <e type="operand">r.ts</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="operand">1</e>
        <e type="operand">0.078</e>
        <e type="operand">J</e>
        <e type="operator" args="2">*</e>
        <e type="operand">c</e>
        <e type="operator" args="2">*</e>
        <e type="operand">S.x</e>
        <e type="operand">h.o</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">L.b</e>
        <e type="operand">r.ts</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="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
      <contract>
        <e type="operand" style="unit">ksi</e>
      </contract>
      <result action="numeric">
        <e type="operand">498.7834</e>
      </result>
    </math>
  </region>
  <region id="124" left="36" top="1791" width="149" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Critical Stress - LTB</p>
    </text>
  </region>
  <region id="125" left="27" top="1827" width="280" height="146" color="#000000" bgColor="#ffffff" fontSize="7">
    <math>
      <input>
        <e type="operand">M.nltb1</e>
        <e type="operand">F.cr</e>
        <e type="operand">S.x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M.nltb2</e>
        <e type="operand">C.b</e>
        <e type="operand">M.px</e>
        <e type="operand">M.px</e>
        <e type="operand">0.7</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">S.x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">L.b</e>
        <e type="operand">L.p</e>
        <e type="operator" args="2">-</e>
        <e type="operand">L.r</e>
        <e type="operand">L.p</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M.nltb</e>
        <e type="operand">L.b</e>
        <e type="operand">L.r</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">M.nltb2</e>
        <e type="operand">M.px</e>
        <e type="function" preserve="true" args="2">Min</e>
        <e type="operand">M.nltb1</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
      </input>
    </math>
  </region>
  <region id="126" left="477" top="1881" width="153" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.nltb</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">420.8333</e>
      </result>
    </math>
  </region>
  <region id="127" left="306" top="1917" width="101" height="116" color="#000000" bgColor="#ffffff" fontSize="7">
    <math>
      <input>
        <e type="operand">M.cx</e>
        <e type="operand">L.b</e>
        <e type="operand">L.r</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">M.px</e>
        <e type="operand">Ω.b</e>
        <e type="operator" args="2">/</e>
        <e type="operand">M.nltb</e>
        <e type="operand">Ω.b</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="128" left="27" top="1989" width="113" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment capacity </p>
    </text>
  </region>
  <region id="129" left="477" top="1989" width="132" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.cx</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">251.996</e>
      </result>
    </math>
  </region>
  <region id="130" top="2025" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
  <region id="131" left="9" top="2142" width="214" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Design for Flexure about Y-axis</p>
    </text>
  </region>
  <region id="132" left="27" top="2169" width="110" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Required Moment</p>
    </text>
  </region>
  <region id="133" left="297" top="2169" width="106" height="65" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">P.ey</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">E.s</e>
        <e type="operator" args="2">*</e>
        <e type="operand">I.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">K.y</e>
        <e type="operand">L.y</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>
      </input>
    </math>
  </region>
  <region id="134" left="36" top="2187" width="247" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Elastic critical buckling resistance</p>
    </text>
  </region>
  <region id="135" left="477" top="2187" width="127" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">P.ex</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
      </contract>
      <result action="numeric">
        <e type="operand">3975.2573</e>
      </result>
    </math>
  </region>
  <region id="136" left="297" top="2214" width="158" height="77" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">B.1y</e>
        <e type="operand">1</e>
        <e type="operand">C.my</e>
        <e type="operand">1</e>
        <e type="operand">α</e>
        <e type="operand">P.r</e>
        <e type="operator" args="2">*</e>
        <e type="operand">P.ey</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="2">Max</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="137" left="36" top="2232" width="162" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Second order Moment Mag</p>
    </text>
  </region>
  <region id="138" left="477" top="2250" width="60" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">B.1y</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="139" left="36" top="2277" width="110" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Required Moment</p>
    </text>
  </region>
  <region id="140" left="297" top="2277" width="91" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.ry</e>
        <e type="operand">M'.y</e>
        <e type="operand">B.1y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="141" left="477" top="2286" width="99" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.ry</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">10</e>
      </result>
    </math>
  </region>
  <region id="142" left="27" top="2304" width="67" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Yielding </p>
    </text>
  </region>
  <region id="143" left="36" top="2322" width="162" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Plastic moment capacity</p>
    </text>
  </region>
  <region id="144" left="297" top="2322" width="183" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.py</e>
        <e type="operand">F.y</e>
        <e type="operand">Z.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.6</e>
        <e type="operand">F.y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">S.y</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="2">Min</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="145" left="477" top="2322" width="132" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.py</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">69.1667</e>
      </result>
    </math>
  </region>
  <region id="146" left="18" top="2349" width="110" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment Capacity</p>
    </text>
  </region>
  <region id="147" left="297" top="2358" width="69" height="51" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.cy</e>
        <e type="operand">M.py</e>
        <e type="operand">Ω.b</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="148" left="477" top="2376" width="132" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.cy</e>
      </input>
      <contract>
        <e type="operand" style="unit">kip</e>
        <e type="operand" style="unit">ft</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">41.4172</e>
      </result>
    </math>
  </region>
  <region id="149" left="18" top="2394" width="116" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p underline="true">Checks - Flexure</p>
    </text>
  </region>
  <region id="150" left="36" top="2421" width="335" height="109" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">U.b</e>
        <e type="operand">M.rx</e>
        <e type="operand">M.cx</e>
        <e type="operator" args="2">/</e>
        <e type="operand">M.ry</e>
        <e type="operand">M.cy</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ChCF</e>
        <e type="operand">CFF</e>
        <e type="operand" style="string">Compact</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">CFW</e>
        <e type="operand" style="string">Compact</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand" style="string">OK</e>
        <e type="operand" style="string">Use Compact Section or Different Calc</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="151" left="396" top="2448" width="84" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Utilization</e>
      </input>
    </math>
  </region>
  <region id="152" left="522" top="2448" width="87" height="29" border="true" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">U.b</e>
      </input>
      <result action="numeric">
        <e type="operand">0.3407</e>
      </result>
    </math>
  </region>
  <region id="153" left="396" top="2493" width="123" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>check Compactness</p>
    </text>
  </region>
  <region id="154" left="522" top="2493" width="85" height="21" border="true" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">ChCF</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">OK</e>
      </result>
    </math>
  </region>
</regions>