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      <title>TEMPRB</title>
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      <div class="title_refTopic" id="xps10_pagetitle">TEMPRB </div>
      <hr noshade="true">
      <h4 class="refClassification">One-Dimensional Element Temperature Field </h4>
      <p class="para_refTopic">Defines a temperature field for the CBAR, CBEAM, CBEND, CROD, CTUBE, and CONROD elements for determination of thermal loading, temperature-dependent material properties, or stress recovery. </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*">
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               <col span="1" width="10*">
            </colgroup>
            <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">TEMPRB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">SID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TA </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TP1A </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TP1B </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TP2A </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TP2B </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">TCA </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TDA </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TEA </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TFA </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TCB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TDB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TEB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TFB </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">EID2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-etc.- </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">Example: </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">TEMPRB </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">200 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">68.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">23.0 </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">28.0 </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">2.5 </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">68.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">91.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">45.0 </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">48.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">80.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">20.0 </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>
               <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">9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">10 </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>
                  <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">Alternate Format and Example of Continuation Entry: </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">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&ldquo;THRU&rdquo; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EIDi </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EIDj </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&ldquo;THRU&rdquo; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EIDk </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" 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">2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">THRU </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">10 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">THRU </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">14 </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>
            </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="16.57*">
               <col span="1" width="83.43*">
            </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>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">SID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Temperature set identification number.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">EIDi, EIDj, EIDk </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Unique element identification number(s).  (Integer &gt; 0 or the second continuation entry may have &ldquo;THRU&rdquo; in fields 3 and/or 6 in which case EID2 &lt; EIDi and EIDj &lt; EIDk.) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TA, TB </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Temperature at end A and end B on the neutral axis.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TPij </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Effective linear gradient in direction i on end j; used with CBAR, CBEAM, and CBEND only.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Tij </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Temperature at point i as defined on the PBAR, PBEAM, and PBEND entries at end j.  This data is used for stress recovery only with CBAR, CBEAM, and CBEND exclusively.  (Real) </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">In the static solution sequences, the temperature set ID (SID) is selected by the Case Control command TEMP.  In the dynamic solution sequences, SID must be referenced in the TID field of an LSEQ entry, which in turn must be selected by the Case Control command LOADSET.  There is a maximum of 66 unique temperature SIDs that may be specified. </p>
            </li>
            <li>
               <p class="para_item">SID must be unique with respect to all other LOAD type entries if TEMP(LOAD) is specified in the Case Control Section. </p>
            </li>
            <li>
               <p class="para_item">If at least one nonzero or nonblank Tij is present, the point temperatures given are used for stress recovery.  If no Tij values are given, linear temperature gradients are assumed for stress recovery.  The Tij values are not used in the calculation of differential stiffness. </p>
            </li>
            <li>
               <p class="para_item">If the second (and succeeding) continuation is present, EID1 and elements specified on the second (and succeeding) continuations are used.  Elements must not be specified more than once. </p>
            </li>
            <li>
               <p class="para_item">If thermal effects are requested, all elements must have a temperature field defined either directly on a TEMPP1 or TEMPRB entry or indirectly as the average of the connected grid point temperatures defined on the TEMP or TEMPD entries.  Directly defined element temperatures always take precedence over the average of grid point temperatures. </p>
            </li>
            <li>
               <p class="para_item">The effective thermal gradients in the element coordinate system for the CBAR element are defined by the following integrals over the cross section.  For end &ldquo;A&rdquo; (end &ldquo;B&rdquo; is similar). </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ35.gif"></p>
               <p class="para_item">if <em>I</em><sub class="subscript">12</sub>=0 
               </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ36.gif"></p>
               <p class="para_item">where <em>TA</em>(<em>y</em>, <em>z</em> is the temperature at point y,z (in the element coordinate system) at end &ldquo;A&rdquo; of the bar.  See the CBAR entry description for the element coordinate system:  <em>I<sub class="subscript">1</sub></em>, <em>I</em><sub class="subscript">2</sub>, and<em>I</em><sub class="subscript">12</sub>are the moments of inertia about the z and y axes, respectively.  The temperatures are assumed to vary linearly along the length (x-axis). Note that if the temperature varies linearly over the cross section, then TP1A, TP1B, TP2A and TP2B  are the actual gradients. 
               </p>
            </li>
            <li>
               <p class="para_item">If the element material is temperature-dependent, the material properties are evaluated at the average temperature (<em>TA</em>+<em>TB</em>) / 2. 
               </p>
            </li>
            <li>
               <p class="para_item">In linear and nonlinear buckling analysis, the follower force effects due to loads from this entry are not included in the differential stiffness.  See <a class="links" href="javascript:void(0)" onclick="top.popUpPage('User/index.html?goto=User/14ref37867_75.html&vars=-aux,-home','linkInter','menubar=yes,status=yes,resizable=yes,toolbar=yes,scrollbars=yes,location=no,directories=no');return(false);">&ldquo;Buckling Analysis in SubDMAP MODERS&rdquo;</a> in the <em>NX Nastran User&rsquo;s Guide</em> and the <em>NX Nastran Basic Nonlinear Analysis User&rsquo;s Guide</em>. 
               </p>
            </li>
            <li>
               <p class="para_item">If any <em>T<sub class="subscript">y</sub></em> is specified the stresses computed by the effective gradient are corrected by &Delta;&sigma; such that: 
               </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ37.gif"></p>
               <p class="para_item">where &Delta;&sigma; is in the form </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ38.gif"></p>
               <p class="para_item">for CBAR and CBEAM </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ39.gif"></p>
               <p class="para_item">for CBEND. </p>
            </li>
         </ol>
      </div>
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