﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.6671.38791"?>
<regions xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings dpi="96">
    <identity>
      <id>9b1ffbff-7c93-421b-a84d-ce4c732d5b90</id>
      <revision>20</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" viewMode="0" printGrid="False" printAreas="True" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <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="0.99.6671.38791" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.99.6671.38791" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.10.6671.38794" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <region id="0" left="9" top="18" width="89" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Spacing in x</p>
    </text>
  </region>
  <region id="1" left="108" top="18" width="61" height="20" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">sx</e>
        <e type="operand">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 id="2" left="225" top="18" width="70" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>#of cols:</p>
    </text>
  </region>
  <region id="3" left="378" top="18" width="45" height="20" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">nx</e>
        <e type="operand">2</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="558" top="27" width="341" height="439" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>MoI Function</p>
      </description>
      <input>
        <e type="operand">s#</e>
        <e type="operand">n1#</e>
        <e type="operand">n2#</e>
        <e type="function" args="3">fMOIF</e>
        <e type="operand">r#</e>
        <e type="operand">0</e>
        <e type="operand">n1#</e>
        <e type="function" args="2">matrix</e>
        <e type="operator" args="2">:</e>
        <e type="operand">n1#</e>
        <e type="operand">2</e>
        <e type="function" args="2">mod</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">r#</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">s#</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">n1#</e>
        <e type="operand">2</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">nrows#</e>
        <e type="operand">n1#</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">nrows#</e>
        <e type="function" args="2">range</e>
        <e type="operand">r#</e>
        <e type="operand">i</e>
        <e type="function" args="2">el</e>
        <e type="operand">r#</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">s#</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
        <e type="function" args="3">for</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">line</e>
        <e type="operand">r#</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">s#</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
        <e type="function" args="3">if</e>
        <e type="operand">I#</e>
        <e type="operand">r#</e>
        <e type="operand">j</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">n2#</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">r#</e>
        <e type="function" args="1">rows</e>
        <e type="function" args="4">sum</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">line</e>
        <e type="operand">r#</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">0</e>
        <e type="operand" style="unit">in</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">n1#</e>
        <e type="operand">1</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">nrows#</e>
        <e type="operand">n1#</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">nrows#</e>
        <e type="function" args="2">range</e>
        <e type="operand">r#</e>
        <e type="operand">i</e>
        <e type="function" args="2">el</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">s#</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="3">line</e>
        <e type="function" args="3">for</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">line</e>
        <e type="operand">0</e>
        <e type="function" args="3">if</e>
        <e type="operand">I#</e>
        <e type="operand">r#</e>
        <e type="operand">j</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">n2#</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">r#</e>
        <e type="function" args="1">rows</e>
        <e type="function" args="4">sum</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">line</e>
        <e type="function" args="3">if</e>
        <e type="operand">I#</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">line</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="9" top="45" width="89" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>spacing in y</p>
    </text>
  </region>
  <region id="6" left="108" top="45" width="61" height="20" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">sy</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">in</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="225" top="45" width="70" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>#of rows:</p>
    </text>
  </region>
  <region id="8" left="378" top="45" width="45" height="20" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">ny</e>
        <e type="operand">3</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="9" top="81" width="54" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment </p>
    </text>
  </region>
  <region id="10" left="225" top="81" width="76" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Shear in X</p>
    </text>
  </region>
  <region id="11" left="378" top="81" width="76" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Shear in Y</p>
    </text>
  </region>
  <region id="12" left="9" top="99" width="138" height="26" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">M.z</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">lbf</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>
      <contract>
        <e type="operand" style="unit">lbf</e>
        <e type="operand" style="unit">in</e>
        <e type="operator" args="2">*</e>
      </contract>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="13" left="225" top="99" width="106" height="26" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">V.x</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">lbf</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
      <contract>
        <e type="operand" style="unit">lbf</e>
      </contract>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="14" left="378" top="99" width="130" height="26" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">V.y</e>
        <e type="operand">568</e>
        <e type="operand" style="unit">lbf</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
      <contract>
        <e type="operand" style="unit">lbf</e>
      </contract>
      <result action="numeric">
        <e type="operand">568</e>
      </result>
    </math>
  </region>
  <region id="15" left="63" top="126" width="142" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Eccen. from Centroidof fastener group</p>
    </text>
  </region>
  <region id="16" left="225" top="126" width="60" height="26" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">e.y</e>
        <e type="operand">0</e>
        <e type="operand" style="unit">in</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="378" top="126" width="60" height="26" color="#000000" bgColor="#80ffff" fontSize="8">
    <math>
      <input>
        <e type="operand">e.x</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>
      </input>
    </math>
  </region>
  <region id="18" left="9" top="171" width="122" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Moment of inertia</p>
    </text>
  </region>
  <region id="19" left="153" top="171" width="187" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="64">
      <input>
        <e type="operand">I.x</e>
        <e type="operand">sy</e>
        <e type="operand">ny</e>
        <e type="operand">nx</e>
        <e type="function" args="3">fMOIF</e>
        <e type="operator" args="2">:</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">#</e>
      </result>
    </math>
  </region>
  <region id="20" left="351" top="171" width="187" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="64">
      <input>
        <e type="operand">I.y</e>
        <e type="operand">sx</e>
        <e type="operand">nx</e>
        <e type="operand">ny</e>
        <e type="function" args="3">fMOIF</e>
        <e type="operator" args="2">:</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">#</e>
      </result>
    </math>
  </region>
  <region id="21" left="153" top="198" width="119" height="31" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="2">
      <input>
        <e type="operand">I.p</e>
        <e type="operand">I.x</e>
        <e type="operand">I.y</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</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">#</e>
      </result>
    </math>
  </region>
  <region id="22" left="153" top="243" width="326" height="56" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="2">
      <input>
        <e type="operand">F.rx</e>
        <e type="operand">V.x</e>
        <e type="operand">nx</e>
        <e type="operand">ny</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">M.z</e>
        <e type="operand">V.x</e>
        <e type="operand">e.y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">V.y</e>
        <e type="operand">e.x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">ny</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">sy</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">I.p</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">lbf</e>
      </contract>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="23" left="9" top="252" width="122" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Forces on extremefastener</p>
    </text>
  </region>
  <region id="24" left="153" top="306" width="326" height="56" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="2">
      <input>
        <e type="operand">F.ry</e>
        <e type="operand">V.y</e>
        <e type="operand">nx</e>
        <e type="operand">ny</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">M.z</e>
        <e type="operand">V.x</e>
        <e type="operand">e.y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">V.y</e>
        <e type="operand">e.x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">nx</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">sx</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">I.p</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">lbf</e>
      </contract>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="25" left="153" top="378" width="157" height="33" color="#000000" bgColor="#ffffff" fontSize="8">
    <math error="2">
      <input>
        <e type="operand">F.R</e>
        <e type="operand">F.rx</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">F.ry</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" args="1">sqrt</e>
        <e type="operator" args="2">:</e>
      </input>
      <contract>
        <e type="operand" style="unit">lbf</e>
      </contract>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="26" top="684" color="#000000" bgColor="#ffffff">
    <area collapsed="false">
      <title lang="eng">
        <p>Test function area</p>
      </title>
    </area>
    <region id="27" left="117" top="729" width="151" height="54" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Test function</p>
        </description>
        <input>
          <e type="operand">x#</e>
          <e type="function" args="1">ftest</e>
          <e type="operand">y#</e>
          <e type="operand">4</e>
          <e type="operand">x#</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x#</e>
          <e type="operand">y#</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="28" top="828" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="29" left="126" top="864" width="96" height="36" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Test function</p>
      </description>
      <input>
        <e type="operand">2</e>
        <e type="function" args="1">ftest</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand">8</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </result>
    </math>
  </region>
</regions>