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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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            <p style="font-family: Courier New; font-size: 9px;">deNest("matrix") - Expand the nested matrix A.<br />This makes the composition of matrices by sub-matrices more readable. </p>
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          <e type="operand">ε</e>
          <e type="operand">ε.c0</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">ε</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≥</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand">f.cd</e>
          <e type="operand">ε</e>
          <e type="operand">ε.c0</e>
          <e type="operator" args="2">≥</e>
          <e type="operand">0</e>
          <e type="function" args="5">cases</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="27" top="1341" width="210" height="53" color="#000000" fontSize="10">
      <math decimalPlaces="2">
        <input>
          <e type="operand">x.lim</e>
          <e type="operand">ε.cu</e>
          <e type="operand">ε.su</e>
          <e type="operand">ε.cu</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">27.8</e>
        </result>
      </math>
    </region>
    <region left="18" top="1404" width="293" height="120" color="#000000" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <content>
            <p>deformazione in ordinata y per asse neutro x.n</p>
          </content>
        </description>
        <input>
          <e type="operand">x.n</e>
          <e type="operand">y</e>
          <e type="function" args="2">ε</e>
          <e type="operand">ε.su</e>
          <e type="operator" args="1">-</e>
          <e type="operand">x.n</e>
          <e type="operand">d</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operand">y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x.n</e>
          <e type="operand">x.lim</e>
          <e type="operator" args="2">&lt;</e>
          <e type="operand">ε.cu</e>
          <e type="operand">x.n</e>
          <e type="operator" args="2">/</e>
          <e type="operand">y</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x.n</e>
          <e type="operand">x.lim</e>
          <e type="operator" args="2">≥</e>
          <e type="operand">0</e>
          <e type="function" args="5">cases</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="1557" width="209" height="34" color="#000000" fontSize="10">
      <math optimize="2" decimalPlaces="2">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.sc</e>
          <e type="operand">x.n</e>
          <e type="operand">x.n</e>
          <e type="operand">δ</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.s</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="315" top="1557" width="209" height="34" color="#000000" fontSize="10">
      <math optimize="2" decimalPlaces="2">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.st</e>
          <e type="operand">x.n</e>
          <e type="operand">x.n</e>
          <e type="operand">d</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.s</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="1602" width="452" height="71" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
          <e type="operand">b</e>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.c</e>
          <e type="operand">y</e>
          <e type="operand">0</e>
          <e type="operand">x</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x</e>
          <e type="function" args="1">σ.sc</e>
          <e type="operand">A.sc</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="function" args="1">σ.st</e>
          <e type="operand">A.st</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">N.Ed</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region top="1665" color="#000000">
      <area collapsed="true" />
      <region left="36" top="1683" width="90" height="24" color="#000000" fontSize="10">
        <math decimalPlaces="5">
          <input>
            <e type="operand">a</e>
            <e type="operand">0.01</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="162" top="1683" width="177" height="34" color="#000000" fontSize="10">
        <math decimalPlaces="5">
          <input>
            <e type="operand">a</e>
            <e type="function" args="1">f</e>
          </input>
          <result action="numeric">
            <e type="operand">5.81728</e>
            <e type="operand">10</e>
            <e type="operand">5</e>
            <e type="operator" args="2">^</e>
            <e type="operator" args="2">*</e>
            <e type="operand" style="unit">N</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="1">-</e>
          </result>
        </math>
      </region>
      <region left="36" top="1701" width="48" height="24" color="#000000" fontSize="10">
        <math decimalPlaces="5">
          <input>
            <e type="operand">b</e>
            <e type="operand">h</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="153" top="1719" width="165" height="34" color="#000000" fontSize="10">
        <math decimalPlaces="5">
          <input>
            <e type="operand">b</e>
            <e type="function" args="1">f</e>
          </input>
          <result action="numeric">
            <e type="operand">2.18997</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">N</e>
            <e type="operator" args="2">*</e>
          </result>
        </math>
      </region>
      <region left="36" top="1728" width="89" height="33" color="#000000" fontSize="10">
        <math decimalPlaces="5">
          <input>
            <e type="operand">ε</e>
            <e type="operand">10</e>
            <e type="operand">3</e>
            <e type="operator" args="1">-</e>
            <e type="operator" args="2">^</e>
            <e type="operand" style="unit">N</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="36" top="1773" width="258" height="600" color="#000000" fontSize="10">
        <math optimize="2" decimalPlaces="5">
          <input>
            <e type="operand">x.n</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">b</e>
            <e type="function" args="1">f</e>
            <e type="operand">0</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">a</e>
            <e type="function" args="1">f</e>
            <e type="operand">0</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">x.n</e>
            <e type="operand" style="string">no zero in interval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">b1</e>
            <e type="operand">a</e>
            <e type="operator" args="2">:</e>
            <e type="operand">a1</e>
            <e type="operand">b</e>
            <e type="operator" args="2">:</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" args="4">line</e>
            <e type="function" args="3">if</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="function" args="3">line</e>
            <e type="operand">a</e>
            <e type="function" args="1">f</e>
            <e type="operand">0</e>
            <e type="operator" args="2">&gt;</e>
            <e type="operand">x.n</e>
            <e type="operand" style="string">no zero in interval</e>
            <e type="operator" args="2">:</e>
            <e type="operand">a1</e>
            <e type="operand">a</e>
            <e type="operator" args="2">:</e>
            <e type="operand">b1</e>
            <e type="operand">b</e>
            <e type="operator" args="2">:</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" args="4">line</e>
            <e type="function" args="3">if</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">x.n</e>
            <e type="function" args="1">IsString</e>
            <e type="operand">n</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">x.n</e>
            <e type="operand">b1</e>
            <e type="operand">a1</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">n</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
            <e type="operand">x.n</e>
            <e type="function" args="1">f</e>
            <e type="function" args="1">abs</e>
            <e type="operand">ε</e>
            <e type="operator" args="2">&gt;</e>
            <e type="operand">x.n</e>
            <e type="function" args="1">f</e>
            <e type="operand">a1</e>
            <e type="function" args="1">f</e>
            <e type="operator" args="2">*</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≤</e>
            <e type="operand">b1</e>
            <e type="operand">x.n</e>
            <e type="operator" args="2">:</e>
            <e type="operand">a1</e>
            <e type="operand">x.n</e>
            <e type="operator" args="2">:</e>
            <e type="function" args="3">if</e>
            <e type="operand">x.n</e>
            <e type="operand">b1</e>
            <e type="operand">a1</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">n</e>
            <e type="operand">n</e>
            <e type="operand">1</e>
            <e type="operator" args="2">+</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="2">while</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">x.n</e>
            <e type="operand">n</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" args="4">mat</e>
            <e type="operand">4</e>
            <e type="operand">1</e>
            <e type="function" args="6">line</e>
          </input>
        </math>
      </region>
      <region left="36" top="2376" width="52" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">n</e>
          </input>
          <result action="numeric">
            <e type="operand">27</e>
          </result>
        </math>
      </region>
      <region top="2394" color="#000000">
        <area terminator="true" />
      </region>
    </region>
    <region left="180" top="2412" width="88" height="32" color="#000000" fontSize="10">
      <math decimalPlaces="1" exponentialThreshold="8">
        <description active="true" position="Top" lang="eng">
          <content>
            <p>sanity check</p>
          </content>
        </description>
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">f</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="18" top="2421" width="102" height="30" color="#000000" fontSize="10">
      <math decimalPlaces="2">
        <input>
          <e type="operand">x.n</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">74.04</e>
        </result>
      </math>
    </region>
    <region left="18" top="2484" width="204" height="34" color="#000000" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">x.n</e>
          <e type="operand">x.n</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.c</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">14.167</e>
        </result>
      </math>
    </region>
    <region left="18" top="2529" width="149" height="32" color="#000000" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.sc</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">331.5</e>
        </result>
      </math>
    </region>
    <region left="18" top="2565" width="161" height="32" color="#000000" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.st</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">391.3</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region left="18" top="2655" width="707" height="77" color="#000000" fontSize="10">
      <math decimalPlaces="1" breaking="59">
        <input>
          <e type="operand">M.Rd</e>
          <e type="operand">b</e>
          <e type="operand">x.n</e>
          <e type="operand">y</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.c</e>
          <e type="operand">y</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x.n</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">y</e>
          <e type="operand">0</e>
          <e type="operand">x.n</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.sc</e>
          <e type="operand">A.sc</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">δ</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.st</e>
          <e type="operand">A.st</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">δ</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">kN</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="numeric">
          <e type="operand">258</e>
        </result>
      </math>
    </region>
    <region left="18" top="2745" width="468" height="32" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M.Ed</e>
          <e type="operand" style="string">≤</e>
          <e type="operand">M.Rd</e>
          <e type="operand">c.u1</e>
          <e type="function" args="4">check2</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">Ok coeff. utilizzazione= 0,62</e>
        </result>
      </math>
    </region>
    <region left="36" top="2799" width="348" height="75" color="#000000" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">b</e>
          <e type="operand">x.n</e>
          <e type="operand">y</e>
          <e type="function" args="2">ε</e>
          <e type="function" args="1">σ.c</e>
          <e type="operand">y</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x.n</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">y</e>
          <e type="operand">0</e>
          <e type="operand">x.n</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">*</e>
        </input>
        <contract>
          <e type="operand" style="unit">kN</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="numeric">
          <e type="operand">137.2</e>
        </result>
      </math>
    </region>
    <region left="45" top="2871" width="220" height="43" color="#000000" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.sc</e>
          <e type="operand">A.sc</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">δ</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
        </input>
        <contract>
          <e type="operand" style="unit">kN</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="numeric">
          <e type="operand">39</e>
        </result>
      </math>
    </region>
    <region left="342" top="2871" width="249" height="43" color="#000000" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">x.n</e>
          <e type="function" args="1">σ.st</e>
          <e type="operand">A.st</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">δ</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
        </input>
        <contract>
          <e type="operand" style="unit">kN</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="numeric">
          <e type="operand">81.8</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>