﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.7610.506"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="144">
    <identity>
      <id>fa9d8449-084e-45ee-9231-cd442270af38</id>
      <revision>3</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="true" 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;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.99.7610.506" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.99.7610.506" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Custom Functions" version="1.1.7486.2690" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="SpecialFunctions" version="1.12.7610.506" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="TextRegion" version="1.11.7610.506" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="351" top="18" width="90" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">b</e>
          <e type="operand">1000</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="27" top="27" width="95" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">f.c'</e>
          <e type="operand">50</e>
          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="189" top="36" width="97" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">E.s</e>
          <e type="operand">200</e>
          <e type="operand" style="unit">GPa</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="351" top="45" width="82" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">D</e>
          <e type="operand">275</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="27" top="72" width="103" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">f.sy</e>
          <e type="operand">500</e>
          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="117" width="112" height="118" color="#000000" bgColor="#c0c0c0" fontSize="10">
      <math>
        <input>
          <e type="operand">d.b</e>
          <e type="operand">16</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">16</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operand">1</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="117" width="91" height="118" color="#000000" bgColor="#c0c0c0" fontSize="10">
      <math>
        <input>
          <e type="operand">bar.n</e>
          <e type="operand">5</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">10</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="297" top="117" width="163" height="118" color="#000000" bgColor="#c0c0c0" fontSize="10">
      <math>
        <input>
          <e type="operand">dist.comp</e>
          <e type="operand">78</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">197</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operand">1</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="45" top="252" width="244" height="96" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
          <e type="operand">i</e>
          <e type="operand">d.b</e>
          <e type="function" args="1">rows</e>
          <e type="operator" args="2">≤</e>
          <e type="operand">i</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">A.reo</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operand">π</e>
          <e type="operand">d.b</e>
          <e type="operand">i</e>
          <e type="function" args="2">el</e>
          <e type="operand">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="operand">bar.n</e>
          <e type="operand">i</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
          <e type="function" args="4">for</e>
        </input>
      </math>
    </region>
    <region left="378" top="252" width="191" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">α.2</e>
          <e type="operand">1</e>
          <e type="operand">0.003</e>
          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">/</e>
          <e type="operand">f.c'</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">0.85</e>
        </result>
      </math>
    </region>
    <region left="378" top="306" width="200" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">γ</e>
          <e type="operand">1.05</e>
          <e type="operand">0.007</e>
          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">/</e>
          <e type="operand">f.c'</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">0.7</e>
        </result>
      </math>
    </region>
    <region left="18" top="396" width="101" height="24" color="#000000" fontSize="10">
      <text lang="eng">
        <p fontName="Arial">Strength check</p>
      </text>
    </region>
    <region left="27" top="441" width="107" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">ε.cu</e>
          <e type="operand">0.003</e>
          <e type="operand" style="unit">m</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="243" top="441" width="161" height="24" color="#000000" fontSize="10">
      <text lang="eng">
        <p fontName="Arial">Based on clause 8.1.3(a)</p>
      </text>
    </region>
    <region left="27" top="486" width="190" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">f.uC</e>
          <e type="operand">0.85</e>
          <e type="operand">f.c'</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">42.5</e>
        </result>
      </math>
    </region>
    <region left="18" top="576" width="142" height="53" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">ε.sy</e>
          <e type="operand">f.sy</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">0.0025</e>
        </result>
      </math>
    </region>
    <region left="180" top="576" width="101" height="24" color="#000000" fontSize="10">
      <text lang="eng">
        <p fontName="Arial">Yield in the reo</p>
      </text>
    </region>
    <region left="18" top="630" width="641" height="82" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
          <e type="operand">j</e>
          <e type="operand">d.b</e>
          <e type="function" args="1">rows</e>
          <e type="operator" args="2">≤</e>
          <e type="operand">j</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">F.bar</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">A.reo</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">ε.cu</e>
          <e type="operand">k.udU</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k.udU</e>
          <e type="operand">dist.comp</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">abs</e>
          <e type="operand">E.s</e>
          <e type="operator" args="2">*</e>
          <e type="operand">f.sy</e>
          <e type="function" args="2">Min</e>
          <e type="operator" args="2">*</e>
          <e type="operand">ε.cu</e>
          <e type="operand">k.udU</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k.udU</e>
          <e type="operand">dist.comp</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">sign</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
          <e type="function" args="4">for</e>
        </input>
      </math>
    </region>
    <region left="9" top="756" width="265" height="35" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">k.udU</e>
          <e type="function" args="1">F.conc</e>
          <e type="operand">0.85</e>
          <e type="operand">f.c'</e>
          <e type="operator" args="2">*</e>
          <e type="operand">b</e>
          <e type="operator" args="2">*</e>
          <e type="operand">γ</e>
          <e type="operand">k.udU</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">1</e>
          <e type="function" args="3">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="810" width="268" height="73" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">k.udU</e>
          <e type="function" args="1">fn</e>
          <e type="operand">k.udU</e>
          <e type="function" args="1">F.conc</e>
          <e type="operand">F.bar</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="operand">6</e>
          <e type="function" args="4">sum</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="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="909" width="283" height="36" color="#000000" fontSize="10">
      <math error="16">
        <input>
          <e type="operand">x</e>
          <e type="operand">1</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">fn</e>
          <e type="operand" style="unit">N</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x</e>
          <e type="operand">40</e>
          <e type="operand">50</e>
          <e type="function" args="4">solve</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="333" top="909" width="196" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">47.0964</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">fn</e>
        </input>
        <result action="numeric">
          <e type="operand">11.282</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="9" top="1080" width="118" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">start</e>
          <e type="operand">47.096</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="126" top="1080" width="110" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">end</e>
          <e type="operand">47.0964</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="234" top="1080" width="189" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">step</e>
          <e type="operand">end</e>
          <e type="operand">start</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">0.1</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="1116" width="394" height="208" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">start</e>
          <e type="operand">end</e>
          <e type="operand">start</e>
          <e type="operand">step</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="3">range</e>
          <e type="operand">1</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">fn</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">vectorize</e>
        </input>
        <result action="numeric">
          <e type="operand">9.1027</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.0642</e>
          <e type="operator" args="1">-</e>
          <e type="operand">5.0257</e>
          <e type="operator" args="1">-</e>
          <e type="operand">2.9872</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.9488</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.0897</e>
          <e type="operand">3.1282</e>
          <e type="operand">5.1666</e>
          <e type="operand">7.2051</e>
          <e type="operand">9.2435</e>
          <e type="operand">11.282</e>
          <e type="operand">11</e>
          <e type="operand">1</e>
          <e type="function" args="13">mat</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>