﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>76393ac9-bcf1-4589-9ea4-c46f2bfb4165</id>
      <revision>14</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.96.4909.6802" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="248" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">σ.V</e>
        <e type="operand">σ.x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">σ.y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">τ.xy</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="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="63" width="243" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">σ.1</e>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">-</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="operand">τ.xy</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="414" top="81" width="315" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>This occasionally leads to complaints"units don't match"</p>
    </text>
  </region>
  <region id="3" left="18" top="126" width="341" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">σ.1a</e>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">-</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="operand">τ.xy</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="414" top="144" width="199" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>This seems to be robust</p>
    </text>
  </region>
  <region id="5" left="18" top="198" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>1)</p>
    </text>
  </region>
  <region id="6" left="63" top="198" width="83" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.x</e>
        <e type="operand">0</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="180" top="198" width="109" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.y</e>
        <e type="operand">100</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="306" top="198" width="108" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">τ.xy</e>
        <e type="operand">100</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="63" top="234" width="98" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.V</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">200</e>
      </result>
    </math>
  </region>
  <region id="10" left="180" top="234" width="81" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="74" decimalPlaces="1">
      <input>
        <e type="operand">σ.1</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="11" left="306" top="234" width="114" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.1a</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">61.8</e>
      </result>
    </math>
  </region>
  <region id="12" left="18" top="288" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>2)</p>
    </text>
  </region>
  <region id="13" left="63" top="288" width="100" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.x</e>
        <e type="operand">100</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="180" top="288" width="109" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.y</e>
        <e type="operand">100</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="306" top="288" width="108" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">τ.xy</e>
        <e type="operand">100</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="63" top="324" width="114" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.V</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">244.9</e>
      </result>
    </math>
  </region>
  <region id="17" left="180" top="324" width="114" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.1</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">141.4</e>
      </result>
    </math>
  </region>
  <region id="18" left="306" top="324" width="122" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.1a</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">141.4</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="378" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>3)</p>
    </text>
  </region>
  <region id="20" left="63" top="378" width="108" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.x</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="180" top="378" width="100" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">σ.y</e>
        <e type="operand">150</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="22" left="306" top="378" width="125" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="1">
      <input>
        <e type="operand">τ.xy</e>
        <e type="operand">100</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand" style="unit">MPa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="23" left="63" top="414" width="98" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.V</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">250</e>
      </result>
    </math>
  </region>
  <region id="24" left="180" top="414" width="81" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="74" decimalPlaces="1">
      <input>
        <e type="operand">σ.1</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="25" left="306" top="414" width="122" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="1">
      <input>
        <e type="operand">σ.1a</e>
      </input>
      <contract>
        <e type="operand" style="unit">MPa</e>
      </contract>
      <result action="numeric">
        <e type="operand">191.4</e>
      </result>
    </math>
  </region>
  <region id="26" left="36" top="495" width="257" height="68" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ.x</e>
        <e type="operand">σ.y</e>
        <e type="operator" args="2">-</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="operand">τ.xy</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">kg</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">m</e>
        <e type="operand" style="unit">s</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>
      </result>
    </math>
  </region>
  <region id="27" left="306" top="522" width="381" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Indication for severe simplification problems</p>
    </text>
  </region>
</regions>