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      <author>Oscar Campo</author>
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      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <description active="true" position="Top" lang="eng">
          <content>
            <p>Description of Singularity Function</p>
          </content>
        </description>
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          <e type="operand">a</e>
          <e type="operand">n</e>
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          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operator" args="2">&gt;</e>
          <e type="bracket">(</e>
          <e type="operand">0</e>
          <e type="function" args="3">cases</e>
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        <input>
          <e type="operand">P</e>
          <e type="operand">1000</e>
          <e type="operand" style="unit">kg</e>
          <e type="operator" args="2">*</e>
          <e type="operand">9.8</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>
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        <result action="numeric">
          <e type="operand">9800</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
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        <input>
          <e type="operand">a</e>
          <e type="operand">40</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      <math>
        <input>
          <e type="operand">b</e>
          <e type="operand">200</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      <text lang="spa" fontFamily="Arial" fontSize="12">
        <content>
          <p>Mathematical model:</p>
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</raw>
      </picture>
    </region>
    <region left="36" top="450" width="838" height="29" color="#000000" fontSize="12">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Loads</p>
          </content>
        </description>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">q</e>
          <e type="operand">Ra</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">Rb</e>
          <e type="operand">x</e>
          <e type="operand">280</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="522" width="777" height="29" color="#000000" fontSize="12">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Shear</p>
          </content>
        </description>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">V</e>
          <e type="operand">Ra</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">0</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">+</e>
          <e type="operand">0</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">Rb</e>
          <e type="operand">x</e>
          <e type="operand">280</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="594" width="777" height="29" color="#000000" fontSize="12">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Moment</p>
          </content>
        </description>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">M</e>
          <e type="operand">Ra</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">1</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">P</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">Rb</e>
          <e type="operand">x</e>
          <e type="operand">280</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="function" args="3">fsin</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="666" width="217" height="39" color="#000000" fontSize="12">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Boundary conditions: on x#, M(x#) and V(x#) are zero.</p>
          </content>
        </description>
        <input>
          <e type="operand">x#</e>
          <e type="operand">280</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</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>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="747" width="362" height="61" color="#000000" fontSize="12">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Solve for Reactions Ra and Rb</p>
          </content>
        </description>
        <input>
          <e type="operand">x#</e>
          <e type="function" args="1">V</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">x#</e>
          <e type="function" args="1">M</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
          <e type="operand">Ra</e>
          <e type="operand">Rb</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
          <e type="function" args="2">Solve</e>
          <e type="function" args="1">Assign</e>
        </input>
        <contract>
          <e type="operand" style="unit">N</e>
        </contract>
        <result action="numeric">
          <e type="operand">9800</e>
          <e type="operand">9800</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
        </result>
      </math>
    </region>
    <region left="36" top="855" width="850" height="258" color="#000000" fontSize="12">
      <plot type="2d" render="lines" scale_x="0.00837841442990787" scale_y="0.118540078121232" scale_z="0.000993177901053337" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-373" transpose_y="5" transpose_z="0">
        <input>
          <e type="operand">x</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">M</e>
          <e type="operator" args="1">-</e>
        </input>
      </plot>
    </region>
  </regions>
</worksheet>