<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="1.0.8206.25180"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="96">
    <identity>
      <id>4b5daf67-6ad9-4887-931f-e31e77f85202</id>
      <revision>2</revision>
    </identity>
    <calculation>
      <precision>2</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>true</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>1</approximateEqualAccuracy>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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="1.0.8206.25180" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="MathRegion" version="1.11.8206.25180" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="TextRegion" version="1.11.8206.25180" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <regions type="content">
    <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="54" width="222" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Case 8Equilateral Triangle</p>
        </content>
      </text>
    </region>
    <region left="162" top="144" width="174" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Equilateral triangle</p>
        </content>
      </text>
    </region>
    <region left="9" top="378" width="118" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Notation file</p>
        </content>
      </text>
    </region>
    <region left="162" top="378" 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="423" width="142" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Enter dimensions</p>
        </content>
      </text>
    </region>
    <region left="162" top="423" width="54" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Side:</p>
        </content>
      </text>
    </region>
    <region left="324" top="423" width="66" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">a</e>
          <e type="operand">5</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="450" width="62" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Angle:</p>
        </content>
      </text>
    </region>
    <region left="324" top="450" width="82" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">α</e>
          <e type="operand">45</e>
          <e type="operand" style="unit">deg</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="504" width="46" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Area</p>
        </content>
      </text>
    </region>
    <region left="162" top="504" width="106" height="33" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">.4330</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="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="504" width="106" height="33" color="#000000" fontSize="10">
      <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">10.83</e>
        </result>
      </math>
    </region>
    <region left="9" top="558" 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>
        </content>
      </text>
    </region>
    <region left="162" top="612" width="111" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.1</e>
          <e type="operand">0.5774</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="612" width="94" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.1</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">2.89</e>
        </result>
      </math>
    </region>
    <region left="162" top="648" width="111" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.2</e>
          <e type="operand">0.5000</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="648" 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">2.50</e>
        </result>
      </math>
    </region>
    <region left="162" top="675" width="169" height="31" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.3</e>
          <e type="operand">0.5774</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operand">α</e>
          <e type="function" args="1">cos</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="675" width="94" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.3</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">2.04</e>
        </result>
      </math>
    </region>
    <region left="162" top="720" width="129" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.1</e>
          <e type="operand">0.01804</e>
          <e type="operand">a</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 left="324" top="720" 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>
        </contract>
        <result action="numeric">
          <e type="operand">11.28</e>
        </result>
      </math>
    </region>
    <region left="9" top="729" 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="324" top="765" width="80" height="39" color="#000000" fontSize="10">
      <math error="2" errorLocation="0">
        <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>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="774" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.2</e>
          <e type="operand">I.1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="801" width="78" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.3</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="810" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">I.3</e>
          <e type="operand">I.1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="864" width="302" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Radii of gyration about central axes</p>
        </content>
      </text>
    </region>
    <region left="162" top="882" width="107" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.1</e>
          <e type="operand">0.2041</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="882" width="68" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.1</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="909" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.2</e>
          <e type="operand">r.1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="909" width="68" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.2</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="945" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.3</e>
          <e type="operand">r.1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="945" width="68" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">r.3</e>
        </input>
        <contract>
          <e type="operand" style="unit">in</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="9" top="1017" width="198" 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="1044" width="117" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.1</e>
          <e type="operand">0.0732</e>
          <e type="operand">a</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 left="324" top="1044" width="78" 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>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="1080" width="117" height="39" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Z.2</e>
          <e type="operand">0.0722</e>
          <e type="operand">a</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 left="324" top="1080" width="78" 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>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="9" top="1134" width="118" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Shape factors</p>
        </content>
      </text>
    </region>
    <region left="162" top="1143" width="90" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">SF.1</e>
          <e type="operand">2.343</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="1143" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">SF.1</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="1170" width="90" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">SF.2</e>
          <e type="operand">2.000</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="1170" width="56" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">SF.2</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="9" top="1215" width="270" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>Location of plastic neutral axis</p>
        </content>
      </text>
    </region>
    <region left="162" top="1224" width="246" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p>yp is measured from the base:</p>
        </content>
      </text>
    </region>
    <region left="162" top="1260" width="107" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">y.p</e>
          <e type="operand">0.2537</e>
          <e type="operand">a</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="324" top="1260" width="68" 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">#</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>