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      <revision>4</revision>
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    <calculation>
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      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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      <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>
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  <region id="0" left="0" top="27" width="90" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>diameter</p>
      </description>
      <input>
        <e type="operand">D_a</e>
        <e type="operand">25</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="342" top="27" width="132" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>pressure</p>
      </description>
      <input>
        <e type="operand">Δ_p</e>
        <e type="operand">2500000</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="0" top="72" width="99" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>wall</p>
      </description>
      <input>
        <e type="operand">d_w</e>
        <e type="operand">1.8</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="0" top="99" width="159" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>Umfangsspannung </p>
      </description>
      <input>
        <e type="operand">σ_u</e>
        <e type="operand">Δ_p</e>
        <e type="operand">D_a</e>
        <e type="operand">d_w</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">d_w</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="0" top="153" width="159" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>Längsspannung</p>
      </description>
      <input>
        <e type="operand">σ_x</e>
        <e type="operand">Δ_p</e>
        <e type="operand">D_a</e>
        <e type="operand">d_w</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">d_w</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="0" top="207" width="77" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>biggest occuring σ</p>
      </description>
      <input>
        <e type="operand">σ_v</e>
        <e type="operand">σ_u</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="0" top="234" width="168" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_v</e>
      </input>
      <result action="numeric">
        <e type="operand">3.2222</e>
        <e type="operand">10</e>
        <e type="operand">7</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="7" left="0" top="279" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>correction factor</p>
      </description>
      <input>
        <e type="operand">b</e>
        <e type="operand">0.7</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="0" top="324" width="100" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>security value</p>
      </description>
      <input>
        <e type="operand">S</e>
        <e type="operand">σ_b</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">σ_v</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="0" top="387" width="102" height="28" color="#000000" bgColor="#c0c0c0" fontSize="12">
    <text lang="ger">
      <p>Materials</p>
    </text>
  </region>
  <region id="10" left="0" top="414" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">160</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="207" top="423" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat1</p>
    </text>
  </region>
  <region id="12" left="522" top="423" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">2.4759</e>
      </result>
    </math>
  </region>
  <region id="13" left="0" top="450" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">125</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="207" top="459" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat2</p>
    </text>
  </region>
  <region id="15" left="522" top="459" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.7155</e>
      </result>
    </math>
  </region>
  <region id="16" left="0" top="486" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">125</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="207" top="495" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat3</p>
    </text>
  </region>
  <region id="18" left="522" top="495" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.7155</e>
      </result>
    </math>
  </region>
  <region id="19" left="0" top="522" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">110</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="20" left="207" top="531" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat4</p>
    </text>
  </region>
  <region id="21" left="522" top="531" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.3897</e>
      </result>
    </math>
  </region>
  <region id="22" left="0" top="612" width="223" height="35" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="ger">
        <p>von Mises</p>
      </description>
      <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_u</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_u</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="23" left="513" top="621" width="168" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_v</e>
      </input>
      <result action="numeric">
        <e type="operand">2.7905</e>
        <e type="operand">10</e>
        <e type="operand">7</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="24" left="0" top="684" width="102" height="28" color="#000000" bgColor="#c0c0c0" fontSize="12">
    <text lang="ger">
      <p>Materials</p>
    </text>
  </region>
  <region id="25" left="0" top="711" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">160</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="26" left="207" top="720" width="49" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Mat1 </p>
    </text>
  </region>
  <region id="27" left="522" top="720" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">2.4759</e>
      </result>
    </math>
  </region>
  <region id="28" left="0" top="747" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">125</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="207" top="756" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat2</p>
    </text>
  </region>
  <region id="30" left="522" top="756" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.7155</e>
      </result>
    </math>
  </region>
  <region id="31" left="0" top="783" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">125</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="207" top="792" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat3</p>
    </text>
  </region>
  <region id="33" left="522" top="792" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.7155</e>
      </result>
    </math>
  </region>
  <region id="34" left="0" top="819" width="134" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">σ_b</e>
        <e type="operand">110</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">Pa</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="35" left="207" top="828" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mat4</p>
    </text>
  </region>
  <region id="36" left="522" top="828" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
      <result action="numeric">
        <e type="operand">1.3897</e>
      </result>
    </math>
  </region>
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