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      <div class="title_refTopic" id="xps10_pagetitle">PBEAM </div>
      <hr noshade="true">
      <h4 class="refClassification">Beam Property </h4>
      <p class="para_refTopic">Defines the properties of a beam element (CBEAM entry).  This element may be used to model tapered beams. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
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               <col span="1" width="10*">
               <col span="1" width="10*">
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            <thead>
               <tr>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">1 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">2 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">3 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">4 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">5 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">6 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">7 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">8 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">9 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">10 </p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PBEAM </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">PID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">MID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I1(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I2(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I12(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">J(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NSM(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">C1 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">C2 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">D1 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">D2 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">E1 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">E2 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">F1 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">F2 (A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br><p class="para_refCategory">The next two continuations are repeated for each intermediate station as described in Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref12795');return(false);">26-5. </a> and SO and X/XB must be specified. 
         </p>
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
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               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">SO </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X/XB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">I12 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">J </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NSM </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">C1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">C2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">D1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">D2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">E1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">E2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">F1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">F2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br><p class="para_refCategory">The last two continuations are: </p>
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">K1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">K2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">S1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">S2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NSI(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NSI(B) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">CW(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">CW(B) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">M1(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">M2(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">M1(B) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">M2(B) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">N1(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">N2(A) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">N1(B) </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">N2(B) </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Example:  Tapered beam with A=2.9 at end A and A=5.3 at end B. </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PBEAM </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">39 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">3.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">5.97 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-4.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">YES </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">5.3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">56.2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">78.6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-5.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.21 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="19.99*">
               <col span="1" width="56.18*">
               <col span="1" width="23.83*">
            </colgroup>
            <thead>
               <tr>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Field </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Contents </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Default Values </b></p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Property identification number.  (Integer &gt; 0) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Material identification number.  See Remarks <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref70975');return(false);">26-1</a> and <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref38729');return(false);">26-2. </a> (Integer &gt; 0) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">A(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Area of the beam cross section at end A.  (Real &gt; 0.0) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">I1(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Area moment of inertia at end A for bendingin plane 1 about the neutral axis. See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref2vpsg1f0lori');return(false);">26-10. </a> (Real &gt; 0.0) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">I2(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Area moment of inertia at end A for bending in plane 2 about the neutral axis.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref2vpsg1f0lori');return(false);">26-10. </a> (Real &gt; 0.0) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">I12(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Cross product of inertia at end A. See Remark 10. (Real &ge; 0.0) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">J(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Torsional stiffness parameter at end A.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref2vpsg1f0lori');return(false);">26-10. </a> (Real &ge; 0.0 but &gt; 0.0 if warping is present) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NSM(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Nonstructural mass per unit length at end A.  (Real) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Ci(A), Di(A) </p>
                     <p class="para_td">Ei(A), Fi(A) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">The y and z locations (i = 1 corresponds to yand i = 2 corresponds to z) in element coordinates relative to the shear center (see the diagram following the remarks) at end A for stress data recovery.  (Real) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">y = z = 0.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">SO </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Stress output request option.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref76857');return(false);">26-9. </a> (Character) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required* </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&ldquo;YES&rdquo; Stresses recovered at points Ci, Di, Ei,and Fi on the next continuation. </p>
                     <p class="para_td">&ldquo;YESA&rdquo; Stresses recovered at points with the same y and z location as end A. </p>
                     <p class="para_td">&ldquo;NO&rdquo; No stresses or forces are recovered. </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">X/XB </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Distance from end A in the elementcoordinate system divided by the lengthof the element  See <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a> in Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref2vpsg1f0lori');return(false);">26-10. </a> (Real &gt; 0.0) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Required* See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref12795');return(false);">26-5. </a></p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">A, I1, I2, I12, </p>
                     <p class="para_td">J, NSM </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Area, moments of inertia, torsional stiffness parameter, and nonstructural mass for the cross section located at x.  (Real; J &gt; 0.0 if warping is present.) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref54063');return(false);">27-1. </a></p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Ci, Di, Ei, Fi </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">The y and z locations (i = 1 corresponds to y and i = 2 corresponds to z) in element coordinates relative to the shear center (see <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a> in Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref2vpsg1f0lori');return(false);">26-10</a>) for the cross section located at X/XB.  The values are fiber locations for stress data recovery.  Ignored for beam p-elements.  (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">K1, K2 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Shear stiffness factor K in K*A*G for plane 1and plane 2.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref99661');return(false);">26-12. </a> (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">1.0,  1.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">S1, S2 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Shear relief coefficient due to taper for plane1 and plane 2.  Ignored for beam p-elements.  (Real) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0,  0.0 </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NSI(A), NSI(B) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Nonstructural mass moment of inertia perunit length about nonstructural mass center of gravity at end A and end B.  See <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a>.  (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0, same as end A </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">CW(A), CW(B) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Warping coefficient for end A and end B.  Ignored for beam p-elements.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref85668');return(false);">26-11. </a> (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0, same as end A </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">M1(A), M2(A), M1(B), M2(B) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">(y,z) coordinates of center of gravity of nonstructural mass for end A and end B.  See <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a>.  (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0 (no offset from shear center), same values as end A </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">N1(A), N2(A),N1(B), N2(B) </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">(y,z) coordinates of neutral axis for end Aand end B.  See <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a>.  (Real) 
                     </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">0.0 (no offset from shear center), same values as end A </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li><a name="ref70975"></a><p class="para_item">For structural analysis, MID must reference a MAT1 material entry.  For material nonlinear analysis, MID may also reference a MATS1 entry, but the material properties must be defined as elastic-perfectly plastic; for example, H = 0.0 on the MATS1 entry.  Also, only one-eighth of the length at each end of the element abides by material nonlinear law; i.e., the element is modeled as a plastic hinge.  Any other type of material property specification may yield inaccurate results. </p>
            </li>
            <li><a name="ref38729"></a><p class="para_item">For heat transfer analysis,  MID must reference a MAT4 or MAT5 material entry. </p>
            </li>
            <li>
               <p class="para_item">If no stress data at end A is to be recovered and a continuation with the SO field is specified, then the first continuation entry, which contains the fields C1(A) through F2(A), may be omitted. </p>
            </li>
            <li>
               <p class="para_item">If SO is &ldquo;YESA&rdquo; or &ldquo;NO&rdquo;, the third continuation entry, which contains the fields C1 through F2, must be omitted.  If SO is &ldquo;YES&rdquo;, the continuation for Ci, Di, Ei, and Fi must be the next entry. </p>
            </li>
            <li><a name="ref12795"></a><p class="para_item">The rules for the continuations entries are: </p>
               <ul>
                  <li><a name="ref54063"></a><p class="para_item">The second and third continuation entries, which contain fields SO through F2, may be repeated nine more times for intermediate X/XB values for linear beam elements.  The order of these continuation pairs is independent of the X/XB value; however, one value of X/XB must be 1.0, corresponding to end B.  The intermediate stress output requests will be ignored in the nonlinear solution sequences (SOLs 106 and 129). </p>
                  </li>
                  <li>
                     <p class="para_item">The fourth and fifth continuation entries, which contain fields K1 through N2(B), are optional and may be omitted if the default values are appropriate. </p>
                  </li>
                  <li>
                     <p class="para_item">if X/XB is not specified, then output for end A only will be generated. </p>
                  </li>
               </ul>
            </li>
            <li>
               <p class="para_item">If any fields 4 through 9 are blank on the continuation with the value of X/XB = 1.0, then the values for A, I1, I2, I12, J and NSM are set to the values given for end A.  For the continuations that have intermediate values of X/XB between 0.0 and 1.0 and use the default option (any of the fields 4 through 9 are blank), a linear interpolation between the values at ends A and B is performed to obtain the missing section properties. </p>
            </li>
            <li>
               <p class="para_item">If SO is &ldquo;YES&rdquo;, blank fields are defaulted to 0.0. </p>
            </li>
            <li>
               <p class="para_item">Blank fields for K1, K2 are defaulted to 1.0.  If a value of 0.0 is used for K1 and K2, the transverse shear flexibilities are set to 0.0 and field G on the MAT1 entry selected by MID must be nonzero. </p>
            </li>
            <li><a name="ref76857"></a><p class="para_item">If end B forces are desired, put &ldquo;YESA&rdquo; in the SO field even when no end A stress points are input. </p>
            </li>
            <li><a name="ref2vpsg1f0lori"></a><p class="para_item"><a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_20.html#ref25652');return(false);">Figure 17-</a> describes the PBEAM element coordinate system. 
               </p><a name="ref25652"></a><div class="figure">
                  <p align="center"><img align="bottom" src="graphics/bulkp-fig06.gif"></p>
               </div>
               <div class="title_figure">Figure. PBEAM Element Coordinate System </div>
            </li>
            <li><a name="ref85668"></a><p class="para_item">The warping coefficient CW is represented in the following differential equation for the torsion of a beam about the axis of the shear centers: </p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ14.gif"></p>
               <p class="para_item">where </p>
               <table cellpadding="8" width="100%" align="center">
                  <colgroup span="1">
                     <col span="1" width="5.18*">
                     <col span="1" width="5.18*">
                     <col span="1" width="89.64*">
                  </colgroup>
                  <tbody>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">G </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">shear modulus </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">J </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">torsional stiffness </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">E </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Young&rsquo;s modulus </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">&theta; </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">angle of rotation at any cross-section </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">m </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">applied torsional moment per unit length </p>
                        </td>
                     </tr>
                  </tbody>
               </table><br><p class="para_item">Note:  CW has units of (length)<sup class="superscript">6</sup>. 
               </p>
            </li>
            <li><a name="ref99661"></a><p class="para_item">The shear stiffness factors <em>K</em><sub class="subscript">1</sub> and<em>K</em><sub class="subscript">2</sub> adjust the effective transverse shear cross-section area according to the Timoshenko beam theory.  Their default values of 1.0 approximate the effects of shear deformation.  To neglect shear deformation (i.e., to obtain the Bernoulli-Euler beam theory), the values of <em>K</em><sub class="subscript">1</sub> and<em>K</em><sub class="subscript">2</sub> should be set to 0.0. 
               </p>
            </li>
         </ol>
      </div>
      <div class="title_refCategory">Remarks related to SOLs 601 and 701: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">Tapered beams are not supported. Hence, only the properties at end A are used and a constant cross section is assumed, i.e., only A(A), I1(A), I2(A), J(A), K1, and K2 are used for the properties of the beam element. </p>
            </li>
            <li>
               <p class="para_item">I12(A), NSM(A), S1, S2, and all fields for intermediate stations and end B are ignored. </p>
            </li>
            <li>
               <p class="para_item">The neutral axis and shear center are assumed to be coincident with the element x-axis. </p>
            </li>
            <li>
               <p class="para_item">The behavior of a CBEAM element is the same as a CBAR element in SOLs 601 and 701. </p>
            </li>
         </ol>
      </div>
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