﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.7778.42164"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="96">
    <identity>
      <id>06715cd7-0be1-44ee-b719-488b9bf8d842</id>
      <revision>67</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="49" bottom="49" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.99.7778.42164" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.99.7778.42164" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Custom Functions" version="1.1.7756.33430" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="SpecialFunctions" version="1.12.7778.42164" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="315" top="81" width="82" height="50" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand" style="unit">psi</e>
          <e type="operand" style="unit">lbf</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 left="9" top="90" width="154" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Right" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">M.DBE</e>
          <e type="operand">815000</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 left="9" top="117" width="125" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Right" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">P.DBE</e>
          <e type="operand">82300</e>
          <e type="operand" style="unit">kip</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="306" top="135" width="118" height="50" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand" style="unit">ksi</e>
          <e type="operand">1000</e>
          <e type="operand" style="unit">lbf</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>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="144" width="266" height="39" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Right" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">M.MCE</e>
          <e type="operand">2.5</e>
          <e type="operand">M.DBE</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</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">2.0375</e>
          <e type="operand">10</e>
          <e type="operand">6</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="9" top="189" width="113" height="30" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;">Young's Modulus of Steel</p>
          </content>
        </description>
        <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 left="180" top="189" width="89" height="30" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;">Yield Strength of Steel</p>
          </content>
        </description>
        <input>
          <e type="operand">F.y</e>
          <e type="operand">50</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="189" width="121" height="30" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;">Compressive Strength of Concrete</p>
          </content>
        </description>
        <input>
          <e type="operand">f'.c</e>
          <e type="operand">10000</e>
          <e type="operand" style="unit">psi</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="243" width="129" height="53" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">ε.y</e>
          <e type="operand">F.y</e>
          <e type="operand">E.s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0017</e>
        </result>
      </math>
    </region>
    <region left="0" top="297" width="162" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">b.flange.W.S</e>
          <e type="operand">80.75</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="333" top="297" width="138" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">t.flange.W.S</e>
          <e type="operand">27</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="351" width="138" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">78</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="333" top="351" width="138" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">t.flange.W.S</e>
          <e type="operand">27</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="396" width="113" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.flange</e>
          <e type="operand">27</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="297" top="396" width="102" height="41" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.plate</e>
          <e type="operand">3</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="477" top="396" width="273" height="32" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.conc</e>
          <e type="operand">t.flange</e>
          <e type="operand">2</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">26.25</e>
        </result>
      </math>
    </region>
    <region left="9" top="495" width="74" height="24" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">d</e>
          <e type="operand">44</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="333" top="495" width="216" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">d.web</e>
          <e type="operand">d</e>
          <e type="operand">2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">39.5</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="9" top="567" width="124" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.web.whole</e>
          <e type="operand">8</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="261" top="567" width="156" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.web.plate</e>
          <e type="operand">1.875</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="648" width="370" height="30" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng" width="293">
          <content>
            <p style="font-family: Arial; font-size: 9px;"></p>
          </content>
        </description>
        <input>
          <e type="operand">t.web.conc.whole</e>
          <e type="operand">t.web.whole</e>
          <e type="operand">2</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">92.25</e>
        </result>
      </math>
    </region>
    <region left="9" top="1008" width="183" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">P.Axial</e>
          <e type="operand">P.DBE</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">kip</e>
        </contract>
        <result action="numeric">
          <e type="operand">82300</e>
        </result>
      </math>
    </region>
    <region left="0" top="1053" width="820" height="74" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.C</e>
          <e type="operand">0.85</e>
          <e type="operand">f'.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.conc</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.web</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t.flange</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">0.85</e>
          <e type="operand">f'.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.conc</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.web</e>
          <e type="operand">0.85</e>
          <e type="operand">f'.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.conc.whole</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</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="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="1143" width="110" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.C</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">2.2512</e>
        </result>
      </math>
    </region>
    <region left="0" top="1170" width="190" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.EW</e>
          <e type="operand">d</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">y.C</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">22.1876</e>
          <e type="operand" style="unit">ft</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="0" top="1215" width="216" height="49" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">E.c</e>
          <e type="operand">57</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">*</e>
          <e type="operand">f'.c</e>
          <e type="operand" style="unit">psi</e>
          <e type="operator" args="2">/</e>
          <e type="function" 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">5700</e>
        </result>
      </math>
    </region>
    <region left="0" top="1278" width="183" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">n</e>
          <e type="operand">0.8</e>
          <e type="operand">f'.c</e>
          <e type="operand">2500</e>
          <e type="operand" style="unit">psi</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>
        <result action="numeric">
          <e type="operand">4.8</e>
        </result>
      </math>
    </region>
    <region left="0" top="1332" width="213" height="53" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">ε.zero</e>
          <e type="operand">f'.c</e>
          <e type="operand">E.c</e>
          <e type="operator" args="2">/</e>
          <e type="operand">n</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0022</e>
        </result>
      </math>
    </region>
    <region left="0" top="1386" width="90" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">ε.y</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0017</e>
        </result>
      </math>
    </region>
    <region left="0" top="1422" width="538" height="187" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="3">f.c</e>
          <e type="operand">f'.c</e>
          <e type="operand">n</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">y</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">ε.zero</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">y</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">ε.zero</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">n</e>
          <e type="operand">i</e>
          <e type="function" args="1">k</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="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">ε.c</e>
          <e type="operand">0.004</e>
          <e type="operator" args="2">≤</e>
          <e type="operand">0</e>
          <e type="function" args="3">cases</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="1665" width="330" height="74" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">i</e>
          <e type="function" args="1">k</e>
          <e type="operand">1.0</e>
          <e type="operand">ε.c</e>
          <e type="operand">ε.zero</e>
          <e type="operator" args="2">≤</e>
          <e type="operand">0.67</e>
          <e type="operand">f'.c</e>
          <e type="operand">9</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="function" args="2">Max</e>
          <e type="function" args="3">cases</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="1755" width="180" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="189" top="1755" width="128" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.flange</e>
          <e type="operand">t.flange</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="333" top="1755" width="116" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.plate</e>
          <e type="operand">t.plate</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="477" top="1755" width="231" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.web.conc.whole</e>
          <e type="operand">t.web.conc.whole</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="1809" width="72" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">E.s</e>
          <e type="operand">E.s</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="90" top="1809" width="72" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">F.y</e>
          <e type="operand">F.y</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="1809" width="167" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.web.plate</e>
          <e type="operand">t.web.plate</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="351" top="1809" width="90" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">d.web</e>
          <e type="operand">d.web</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="450" top="1809" width="58" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">d</e>
          <e type="operand">d</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="522" top="1809" width="180" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b.flange.W.S</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="1863" width="116" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">P.Axial</e>
          <e type="operand">P.Axial</e>
          <e type="operand" style="unit">kip</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="135" top="1863" width="80" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">f'.c</e>
          <e type="operand">f'.c</e>
          <e type="operand" style="unit">ksi</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="243" top="1863" width="105" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M.MCE</e>
          <e type="operand">M.MCE</e>
          <e type="operand" style="unit">kip</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="360" top="1863" width="77" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.EW</e>
          <e type="operand">y.EW</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="2007" width="3343" height="83" color="#000000" fontSize="10">
      <math breaking="187">
        <input>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="2">Axial_Sum</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">y</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="3">f.c</e>
          <e type="operand">y</e>
          <e type="operand">t.plate</e>
          <e type="operand">t.flange</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.conc.whole</e>
          <e type="operand">y</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="3">f.c</e>
          <e type="operand">y</e>
          <e type="operand">t.flange</e>
          <e type="operand">c.2</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">2</e>
          <e type="operand">E.s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</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">2</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">P.Axial</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="2196" width="4585" height="83" color="#000000" fontSize="10">
      <math breaking="280">
        <input>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="2">Moment_Sum</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">y</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="3">f.c</e>
          <e type="operand">y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">y</e>
          <e type="operand">t.plate</e>
          <e type="operand">t.flange</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.conc.whole</e>
          <e type="operand">y</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="3">f.c</e>
          <e type="operand">y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">y</e>
          <e type="operand">t.flange</e>
          <e type="operand">c.2</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b.flange.E.N</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</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">2</e>
          <e type="operand">E.s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">ε.c</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">t.flange</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">2</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</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">2</e>
          <e type="operand">F.y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.web.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.y</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.web</e>
          <e type="operand">t.flange</e>
          <e type="operator" args="2">+</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">E.s</e>
          <e type="operand">ε.c</e>
          <e type="operator" args="2">*</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">F.y</e>
          <e type="function" args="2">Min</e>
          <e type="operand">b.flange.W.S</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t.plate</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="operand">t.plate</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">P.Axial</e>
          <e type="operand">y.EW</e>
          <e type="operand">c.2</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1.5</e>
          <e type="operand">M.MCE</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="2313" width="427" height="34" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">153.0728098</e>
          <e type="operand">0.00086829385</e>
          <e type="function" args="2">Axial_Sum</e>
        </input>
        <result action="numeric">
          <e type="operand">4.8008</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region left="0" top="2358" width="388" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">153.0728098</e>
          <e type="operand">0.00086829385</e>
          <e type="function" args="2">Moment_Sum</e>
        </input>
        <result action="numeric">
          <e type="operand">0.4052</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region left="0" top="2439" width="203" height="61" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq.1</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="2">Axial_Sum</e>
          <e type="operator" args="2">:</e>
          <e type="operand">eq.2</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="function" args="2">Moment_Sum</e>
          <e type="operator" args="2">:</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
        </input>
      </math>
    </region>
    <region left="0" top="2502" width="147" height="59" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">eq.1</e>
          <e type="operand">eq.2</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">mat</e>
          <e type="operand">c.2</e>
          <e type="operand">ε.c</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">mat</e>
          <e type="function" args="2">Solve</e>
        </input>
      </math>
    </region>
  </regions>
</worksheet>