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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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    <region left="99" top="18" width="246" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Table 1Properties of Sections</p>
        </content>
      </text>
    </region>
    <region left="99" top="45" width="414" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Case 26Hollow Semiellipse; Constant Wall Thickness</p>
        </content>
      </text>
    </region>
    <region left="162" top="162" width="358" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Hollow semiellipse; constant wall thickness</p>
        </content>
      </text>
    </region>
    <region left="162" top="441" width="598" height="53" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>There is a limit on the maximum wall thickness, t.Cusps will form in the perimeter at the ends of the major axis if this maximum is exceeded.The limit is calculated below.</p>
        </content>
      </text>
    </region>
    <region left="9" top="540" width="118" height="23" color="#000000" fontSize="10">
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        <content>
          <p>Notation file</p>
        </content>
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    <region left="162" top="540" width="462" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Provides a description of Table 1 and the notation used.</p>
        </content>
      </text>
    </region>
    <region left="9" top="603" width="142" height="23" color="#000000" fontSize="10">
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        <content>
          <p>Enter dimensions</p>
        </content>
      </text>
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    <region left="162" top="603" width="110" height="23" color="#000000" fontSize="10">
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        <content>
          <p>Inner shell:</p>
        </content>
      </text>
    </region>
    <region left="171" top="621" width="134" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Semimajor axis:</p>
        </content>
      </text>
    </region>
    <region left="315" top="630" width="73" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">a.i</e>
          <e type="operand">7</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      </math>
    </region>
    <region left="171" top="648" width="134" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Semiminor axis:</p>
        </content>
      </text>
    </region>
    <region left="315" top="657" width="73" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b.i</e>
          <e type="operand">3</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Outer shell:</p>
        </content>
      </text>
    </region>
    <region left="171" top="711" width="134" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Semimajor axis:</p>
        </content>
      </text>
    </region>
    <region left="315" top="711" width="73" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">a.o</e>
          <e type="operand">8</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      </math>
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    <region left="171" top="738" width="134" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Semiminor axis:</p>
        </content>
      </text>
    </region>
    <region left="315" top="738" width="73" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b.o</e>
          <e type="operand">4</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="162" top="783" width="85" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t</e>
          <e type="operand">a.o</e>
          <e type="operand">a.i</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
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    </region>
    <region left="315" top="783" width="88" height="24" color="#000000" fontSize="10">
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        <input>
          <e type="operand">t</e>
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        <contract>
          <e type="operand" style="unit">in</e>
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          <e type="operand">1.00</e>
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    <region left="162" top="810" width="84" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">a</e>
          <e type="operand">a.i</e>
          <e type="operand">t</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
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          <e type="operand">a</e>
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          <e type="operand" style="unit">in</e>
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          <e type="operand">7.50</e>
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      <math>
        <input>
          <e type="operand">b</e>
          <e type="operand">b.i</e>
          <e type="operand">t</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
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    <region left="315" top="864" width="88" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b</e>
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        <contract>
          <e type="operand" style="unit">in</e>
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        <result action="numeric">
          <e type="operand">3.50</e>
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    <region left="162" top="909" width="598" height="38" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Due to the limitation on the maximum wall thickness, the following rules apply:</p>
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    <region left="162" top="963" width="278" height="23" color="#000000" fontSize="10">
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        <content>
          <p>a/b must range between 0.2 and 5:</p>
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    <region left="162" top="999" width="87" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">0.2</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
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    <region left="315" top="999" width="72" height="41" color="#000000" fontSize="10">
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        <input>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
        </input>
        <result action="numeric">
          <e type="operand">2.14</e>
        </result>
      </math>
    </region>
    <region left="162" top="1053" width="566" height="38" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>The wall thickness, t, must be less than the maximum wall thickness, tmax:</p>
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      </text>
    </region>
    <region left="162" top="1116" width="88" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">1.00</e>
        </result>
      </math>
    </region>
    <region left="162" top="1143" width="272" height="51" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.max</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operator" args="2">≥</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operand">b</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">a</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operator" args="2">&lt;</e>
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          <e type="operand">2</e>
          <e type="operand">a</e>
          <e type="operand">2</e>
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          <e type="operand">b</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>
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    <region left="405" top="1161" width="107" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">t.max</e>
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        <contract>
          <e type="operand" style="unit">in</e>
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        <result action="numeric">
          <e type="operand">3.27</e>
        </result>
      </math>
    </region>
    <region left="162" top="1215" width="382" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>The constant, D, must range between 0.2 and 1:</p>
        </content>
      </text>
    </region>
    <region left="162" top="1242" width="71" height="47" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">D</e>
          <e type="operand">t</e>
          <e type="operand">t.max</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="297" top="1260" width="68" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">D</e>
        </input>
        <result action="numeric">
          <e type="operand">0.31</e>
        </result>
      </math>
    </region>
    <region left="9" top="1314" width="86" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Constants</p>
        </content>
      </text>
    </region>
    <region left="162" top="1314" width="582" height="53" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>The following constants are used to calculate the area, distances from the centroid to the extremities, the plastic section moduli, and the location of the plastic neutral axis.</p>
        </content>
      </text>
    </region>
    <region left="162" top="1404" width="78" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">C</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">-</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="162" top="1458" width="237" height="43" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">K.1</e>
          <e type="operand">0.2464</e>
          <e type="operand">0.002222</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operand">b</e>
          <e type="operand">a</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>
        </input>
      </math>
    </region>
    <region left="162" top="1503" width="320" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">K.2</e>
          <e type="operand">1</e>
          <e type="operand">0.3314</e>
          <e type="operand">C</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">0.0136</e>
          <e type="operand">C</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0.1097</e>
          <e type="operand">C</e>
          <e type="operand">3</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>
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    <region left="162" top="1548" width="318" height="39" color="#000000" fontSize="10">
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        <input>
          <e type="operand">K.3</e>
          <e type="operand">1</e>
          <e type="operand">0.9929</e>
          <e type="operand">C</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0.2287</e>
          <e type="operand">C</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">0.2193</e>
          <e type="operand">C</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
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        <input>
          <e type="operand">K.4</e>
          <e type="operand">0.1349</e>
          <e type="operand">0.1279</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0.01284</e>
          <e type="operand">a</e>
          <e type="operand">b</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="operator" args="2">:</e>
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    <region left="162" top="1629" width="294" height="52" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">K.5</e>
          <e type="operand">0.1349</e>
          <e type="operand">0.1279</e>
          <e type="operand">b</e>
          <e type="operand">a</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0.01284</e>
          <e type="operand">b</e>
          <e type="operand">a</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="operator" args="2">:</e>
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      </math>
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    <region left="162" top="1683" width="286" height="52" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">K.6</e>
          <e type="operand">0.1835</e>
          <e type="operand">0.895</e>
          <e type="operand">b</e>
          <e type="operand">a</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0.00978</e>
          <e type="operand">b</e>
          <e type="operand">a</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="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="162" top="1755" width="787" height="44" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">C.1</e>
          <e type="operand">0.25</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.5067</e>
          <e type="operand">0.5588</e>
          <e type="operand">D</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">1.3820</e>
          <e type="operand">D</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="operand">4</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.4829</e>
          <e type="operand">0.0725</e>
          <e type="operand">D</e>
          <e type="operator" args="2">*</e>
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          <e type="operand">0.1815</e>
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          <e type="operand">C.3</e>
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          <e type="operand">C.4</e>
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          <e type="operand">A</e>
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          <p>Area</p>
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    <region left="9" top="2700" width="198" height="38" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Distances from<br />centroid to extremities</p>
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          <e type="operand">y.1b</e>
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          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="414" top="2754" width="101" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.1b</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">4.24</e>
        </result>
      </math>
    </region>
    <region left="162" top="2799" width="128" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.1a</e>
          <e type="operand">a</e>
          <e type="operand">t</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">y.1b</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="414" top="2808" width="101" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.1a</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">3.76</e>
        </result>
      </math>
    </region>
    <region left="162" top="2844" width="84" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.2</e>
          <e type="operand">b</e>
          <e type="operand">t</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="414" top="2853" width="94" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.2</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">4.00</e>
        </result>
      </math>
    </region>
    <region left="9" top="2907" width="158" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Moments of inertia</p>
        </content>
      </text>
    </region>
    <region left="90" top="2934" width="581" height="54" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.x</e>
          <e type="operand">π</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operand">a</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">a</e>
          <e type="operand">3</e>
          <e type="operand">b</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">1</e>
          <e type="operand">K.4</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">-</e>
          <e type="operand">a</e>
          <e type="operand">b</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="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">π</e>
          <e type="operand">32</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</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">K.5</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">-</e>
          <e type="operand">a</e>
          <e type="operand">b</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="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="414" top="2997" width="120" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.x</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">418.63</e>
        </result>
      </math>
    </region>
    <region left="162" top="3042" width="127" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.1</e>
          <e type="operand">I.x</e>
          <e type="operand">A</e>
          <e type="operand">y.1b</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="414" top="3042" width="112" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.1</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">97.28</e>
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      </math>
    </region>
    <region left="90" top="3087" width="614" height="56" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.2</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">π</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</e>
          <e type="operand">3</e>
          <e type="operand">a</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">1</e>
          <e type="operand">K.5</e>
          <e type="operand">b</e>
          <e type="operand">a</e>
          <e type="operator" args="2">-</e>
          <e type="operand">b</e>
          <e type="operand">a</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="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">π</e>
          <e type="operand">16</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="operand">b</e>
          <e type="operator" args="2">*</e>
          <e type="operand">a</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">K.4</e>
          <e type="operand">b</e>
          <e type="operand">a</e>
          <e type="operator" args="2">-</e>
          <e type="operand">b</e>
          <e type="operand">a</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="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>
        </input>
      </math>
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    <region left="414" top="3141" width="120" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.2</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">130.10</e>
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      </math>
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    <region left="9" top="3213" width="190" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Plastic section moduli</p>
        </content>
      </text>
    </region>
    <region left="162" top="3240" width="296" height="77" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.1</e>
          <e type="operand">C.5</e>
          <e type="operand">C.6</e>
          <e type="operand">a</e>
          <e type="operand">b</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">C.7</e>
          <e type="operand">a</e>
          <e type="operand">b</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="operand">C.8</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">4</e>
          <e type="operator" args="2">*</e>
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          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      </math>
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    <region left="162" top="3312" width="112" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.1</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">36.57</e>
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      </math>
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    <region left="162" top="3357" width="409" height="56" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.2</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1.3333</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</e>
          <e type="operand">2</e>
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          <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">1</e>
          <e type="operand">K.6</e>
          <e type="operand">b</e>
          <e type="operand">a</e>
          <e type="operator" args="2">-</e>
          <e type="operand">b</e>
          <e type="operand">a</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="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">t</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operand">3</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>
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      </math>
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    <region left="162" top="3411" width="112" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.2</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
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        <result action="numeric">
          <e type="operand">46.75</e>
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      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Location of plastic neutral axis</p>
        </content>
      </text>
    </region>
    <region left="162" top="3474" width="462" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>yp is measured as the vertical distance from the bottom:</p>
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      </text>
    </region>
    <region left="162" top="3510" width="250" height="77" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.p</e>
          <e type="operand">C.1</e>
          <e type="operand">C.2</e>
          <e type="operand">a</e>
          <e type="operand">b</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">C.3</e>
          <e type="operand">a</e>
          <e type="operand">b</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="operand">C.4</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
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    <region left="162" top="3591" width="94" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.p</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">4.40</e>
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      </math>
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</worksheet>