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<a href="threed__beam__fea_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// Copyright 2015. All rights reserved.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">//</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="comment">// Author: ryan.latture@gmail.com (Ryan Latture)</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="preprocessor">#ifndef THREED_BEAM_FEA_H</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="preprocessor">#define THREED_BEAM_FEA_H</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="preprocessor">#ifdef EIGEN_USE_MKL_ALL</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#include &lt;Eigen/PardisoSupport&gt;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor">#include &lt;Eigen/SparseLU&gt;</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="preprocessor">#include &lt;Eigen/Core&gt;</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="preprocessor">#include &lt;Eigen/SparseCore&gt;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="containers_8h.html">containers.h</a>&quot;</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="options_8h.html">options.h</a>&quot;</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="summary_8h.html">summary.h</a>&quot;</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="csv__parser_8h.html">csv_parser.h</a>&quot;</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacefea.html">fea</a> {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="namespacefea.html#ab78c368a6a71d4dd85184e0ab034bde6"> 58</a></span>&#160; <span class="keyword">typedef</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt; <a class="code" href="namespacefea.html#ab78c368a6a71d4dd85184e0ab034bde6">GlobalStiffMatrix</a>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="namespacefea.html#ae6576c78eabdf80c7a1b2ab0a9046433"> 63</a></span>&#160; <span class="keyword">typedef</span> Eigen::Matrix&lt;double, 12, 12, Eigen::RowMajor&gt; <a class="code" href="namespacefea.html#ae6576c78eabdf80c7a1b2ab0a9046433">LocalMatrix</a>;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="namespacefea.html#a0cab5016018de58ed55a874e7fee68ed"> 69</a></span>&#160; <span class="keyword">typedef</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt; <a class="code" href="namespacefea.html#a0cab5016018de58ed55a874e7fee68ed">ForceVector</a>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662"> 74</a></span>&#160; <span class="keyword">typedef</span> Eigen::SparseMatrix&lt;double&gt; <a class="code" href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662">SparseMat</a>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacefea.html#a22c94233f560b36c5e782d6e73cebae3">norm</a>(<span class="keyword">const</span> <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> &amp;n1, <span class="keyword">const</span> <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> &amp;n2);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classfea_1_1_global_stiff_assembler.html"> 90</a></span>&#160; <span class="keyword">class </span><a class="code" href="classfea_1_1_global_stiff_assembler.html">GlobalStiffAssembler</a> {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keyword">public</span>:</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="classfea_1_1_global_stiff_assembler.html#a1a880ef51b6dd2619ac3f4f510a726a2"> 98</a></span>&#160; <a class="code" href="classfea_1_1_global_stiff_assembler.html#a1a880ef51b6dd2619ac3f4f510a726a2">GlobalStiffAssembler</a>() {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; Kelem.setZero();</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; Klocal.setZero();</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; Aelem.setZero();</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; AelemT.setZero();</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; SparseKelem.resize(12, 12);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; SparseKelem.reserve(40);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; };</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classfea_1_1_global_stiff_assembler.html#ae07a113c97d0aa76a6391b4697961875">operator()</a>(SparseMat &amp;Kg, <span class="keyword">const</span> <a class="code" href="structfea_1_1_job.html">Job</a> &amp;job, <span class="keyword">const</span> std::vector&lt;Tie&gt; &amp;ties);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classfea_1_1_global_stiff_assembler.html#aad75afc9ef363da11c60a9d84f190701">calcKelem</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, <span class="keyword">const</span> <a class="code" href="structfea_1_1_job.html">Job</a> &amp;job);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classfea_1_1_global_stiff_assembler.html#a9c403407b2a17700bec9de277ae717d8">calcAelem</a>(<span class="keyword">const</span> Eigen::Vector3d &amp;nx, <span class="keyword">const</span> Eigen::Vector3d &amp;nz);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classfea_1_1_global_stiff_assembler.html#a860467d39009b2cf45ec68cd799f5213"> 142</a></span>&#160; LocalMatrix <a class="code" href="classfea_1_1_global_stiff_assembler.html#a860467d39009b2cf45ec68cd799f5213">getKelem</a>() {</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keywordflow">return</span> Kelem;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="classfea_1_1_global_stiff_assembler.html#a37389168def7bc5993f1e49cd584e32c"> 150</a></span>&#160; LocalMatrix <a class="code" href="classfea_1_1_global_stiff_assembler.html#a37389168def7bc5993f1e49cd584e32c">getAelem</a>() {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordflow">return</span> Aelem;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">private</span>:</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; LocalMatrix Kelem;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; LocalMatrix Klocal;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; LocalMatrix Aelem;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; LocalMatrix AelemT;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; SparseMat SparseKelem;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; };</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordtype">void</span> <a class="code" href="namespacefea.html#a9a7fec579a34d0fed8339237f2cfe994">loadBCs</a>(SparseMat &amp;Kg, ForceVector &amp;force_vec, <span class="keyword">const</span> std::vector&lt;BC&gt; &amp;BCs, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_nodes);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="keywordtype">void</span> <a class="code" href="namespacefea.html#ad84d1896799e4150617b01d8cce6e699">loadEquations</a>(SparseMat &amp;Kg, <span class="keyword">const</span> std::vector&lt;Equation&gt; &amp;equations, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_nodes, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_bcs);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordtype">void</span> <a class="code" href="namespacefea.html#adb99d60a0e4eb10e55a7c52044efb6e3">loadTies</a>(std::vector&lt;Eigen::Triplet&lt;double&gt; &gt; &amp;triplets, <span class="keyword">const</span> std::vector&lt;Tie&gt; &amp;ties);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; std::vector&lt;std::vector&lt;double&gt; &gt; <a class="code" href="namespacefea.html#ad101dfa486fc4d0bd848129ff2453139">computeTieForces</a>(<span class="keyword">const</span> std::vector&lt;Tie&gt; &amp;ties,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;double&gt; &gt; &amp;nodal_displacements);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="keywordtype">void</span> <a class="code" href="namespacefea.html#af9e37d32f38ace35944f1e63f4a447fa">loadForces</a>(SparseMat &amp;force_vec, <span class="keyword">const</span> std::vector&lt;Force&gt; &amp;forces);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; Summary <a class="code" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">solve</a>(<span class="keyword">const</span> Job &amp;job,</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="keyword">const</span> std::vector&lt;BC&gt; &amp;BCs,</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keyword">const</span> std::vector&lt;Force&gt; &amp;forces,</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="keyword">const</span> std::vector&lt;Tie&gt; &amp;ties,</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="keyword">const</span> std::vector&lt;Equation&gt; &amp;equations,</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keyword">const</span> Options &amp;options);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;} <span class="comment">// namespace fea</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="preprocessor">#endif // THREED_BEAM_FEA_H</span></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html">fea::GlobalStiffAssembler</a></div><div class="ttdoc">Assembles the global stiffness matrix. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:90</div></div>
<div class="ttc" id="csv__parser_8h_html"><div class="ttname"><a href="csv__parser_8h.html">csv_parser.h</a></div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_a1a880ef51b6dd2619ac3f4f510a726a2"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#a1a880ef51b6dd2619ac3f4f510a726a2">fea::GlobalStiffAssembler::GlobalStiffAssembler</a></div><div class="ttdeci">GlobalStiffAssembler()</div><div class="ttdoc">Default constructor. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:98</div></div>
<div class="ttc" id="containers_8h_html"><div class="ttname"><a href="containers_8h.html">containers.h</a></div></div>
<div class="ttc" id="namespacefea_html_ae6576c78eabdf80c7a1b2ab0a9046433"><div class="ttname"><a href="namespacefea.html#ae6576c78eabdf80c7a1b2ab0a9046433">fea::LocalMatrix</a></div><div class="ttdeci">Eigen::Matrix&lt; double, 12, 12, Eigen::RowMajor &gt; LocalMatrix</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:63</div></div>
<div class="ttc" id="summary_8h_html"><div class="ttname"><a href="summary_8h.html">summary.h</a></div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_a9c403407b2a17700bec9de277ae717d8"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#a9c403407b2a17700bec9de277ae717d8">fea::GlobalStiffAssembler::calcAelem</a></div><div class="ttdeci">void calcAelem(const Eigen::Vector3d &amp;nx, const Eigen::Vector3d &amp;nz)</div><div class="ttdoc">Updates the rotation and transposed rotation matrices. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:141</div></div>
<div class="ttc" id="namespacefea_html_a22c94233f560b36c5e782d6e73cebae3"><div class="ttname"><a href="namespacefea.html#a22c94233f560b36c5e782d6e73cebae3">fea::norm</a></div><div class="ttdeci">double norm(const Node &amp;n1, const Node &amp;n2)</div><div class="ttdoc">Calculates the distance between 2 nodes. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:54</div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_a860467d39009b2cf45ec68cd799f5213"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#a860467d39009b2cf45ec68cd799f5213">fea::GlobalStiffAssembler::getKelem</a></div><div class="ttdeci">LocalMatrix getKelem()</div><div class="ttdoc">Returns the currently stored elemental stiffness matrix. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:142</div></div>
<div class="ttc" id="namespacefea_html_a9a7fec579a34d0fed8339237f2cfe994"><div class="ttname"><a href="namespacefea.html#a9a7fec579a34d0fed8339237f2cfe994">fea::loadBCs</a></div><div class="ttdeci">void loadBCs(SparseMat &amp;Kg, ForceVector &amp;force_vec, const std::vector&lt; BC &gt; &amp;BCs, unsigned int num_nodes)</div><div class="ttdoc">Loads the boundary conditions into the global stiffness matrix and force vector. </div></div>
<div class="ttc" id="namespacefea_html_ab78c368a6a71d4dd85184e0ab034bde6"><div class="ttname"><a href="namespacefea.html#ab78c368a6a71d4dd85184e0ab034bde6">fea::GlobalStiffMatrix</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; GlobalStiffMatrix</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:58</div></div>
<div class="ttc" id="namespacefea_html_adb99d60a0e4eb10e55a7c52044efb6e3"><div class="ttname"><a href="namespacefea.html#adb99d60a0e4eb10e55a7c52044efb6e3">fea::loadTies</a></div><div class="ttdeci">void loadTies(std::vector&lt; Eigen::Triplet&lt; double &gt; &gt; &amp;triplets, const std::vector&lt; Tie &gt; &amp;ties)</div><div class="ttdoc">Loads any tie constraints into the set of triplets that will become the global stiffness matrix...</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:329</div></div>
<div class="ttc" id="namespacefea_html_ab9a3b4734f69bd4a2a883d7b9bab5662"><div class="ttname"><a href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662">fea::SparseMat</a></div><div class="ttdeci">Eigen::SparseMatrix&lt; double &gt; SparseMat</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:74</div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_a37389168def7bc5993f1e49cd584e32c"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#a37389168def7bc5993f1e49cd584e32c">fea::GlobalStiffAssembler::getAelem</a></div><div class="ttdeci">LocalMatrix getAelem()</div><div class="ttdoc">Returns the currently stored rotation matrix. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:150</div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_aad75afc9ef363da11c60a9d84f190701"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#aad75afc9ef363da11c60a9d84f190701">fea::GlobalStiffAssembler::calcKelem</a></div><div class="ttdeci">void calcKelem(unsigned int i, const Job &amp;job)</div><div class="ttdoc">Updates the elemental stiffness matrix for the ith element. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:59</div></div>
<div class="ttc" id="namespacefea_html_af9e37d32f38ace35944f1e63f4a447fa"><div class="ttname"><a href="namespacefea.html#af9e37d32f38ace35944f1e63f4a447fa">fea::loadForces</a></div><div class="ttdeci">void loadForces(SparseMat &amp;force_vec, const std::vector&lt; Force &gt; &amp;forces)</div><div class="ttdoc">Loads the prescribed forces into the force vector. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:388</div></div>
<div class="ttc" id="namespacefea_html_ad101dfa486fc4d0bd848129ff2453139"><div class="ttname"><a href="namespacefea.html#ad101dfa486fc4d0bd848129ff2453139">fea::computeTieForces</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; double &gt; &gt; computeTieForces(const std::vector&lt; Tie &gt; &amp;ties, const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;nodal_displacements)</div><div class="ttdoc">Computes the forces in the tie elements based on the nodal displacements of the FE analysis and the s...</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:363</div></div>
<div class="ttc" id="namespacefea_html_ad84d1896799e4150617b01d8cce6e699"><div class="ttname"><a href="namespacefea.html#ad84d1896799e4150617b01d8cce6e699">fea::loadEquations</a></div><div class="ttdeci">void loadEquations(SparseMat &amp;Kg, const std::vector&lt; Equation &gt; &amp;equations, unsigned int num_nodes, unsigned int num_bcs)</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:314</div></div>
<div class="ttc" id="namespacefea_html_acea7372904bb1c5f0570e9a53cf6fba9"><div class="ttname"><a href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">fea::Node</a></div><div class="ttdeci">Eigen::Vector3d Node</div><div class="ttdoc">A node that describes a mesh. Uses Eigen&#39;s predefined Vector class for added functionality. </div><div class="ttdef"><b>Definition:</b> containers.h:56</div></div>
<div class="ttc" id="namespacefea_html_a995a678cf119fb20772312ccfdbec991"><div class="ttname"><a href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">fea::solve</a></div><div class="ttdeci">Summary solve(const Job &amp;job, const std::vector&lt; BC &gt; &amp;BCs, const std::vector&lt; Force &gt; &amp;forces, const std::vector&lt; Tie &gt; &amp;ties, const std::vector&lt; Equation &gt; &amp;equations, const Options &amp;options)</div><div class="ttdoc">Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:398</div></div>
<div class="ttc" id="structfea_1_1_job_html"><div class="ttname"><a href="structfea_1_1_job.html">fea::Job</a></div><div class="ttdoc">Contains a node list, element list, and the properties of each element. </div><div class="ttdef"><b>Definition:</b> containers.h:309</div></div>
<div class="ttc" id="namespacefea_html_a0cab5016018de58ed55a874e7fee68ed"><div class="ttname"><a href="namespacefea.html#a0cab5016018de58ed55a874e7fee68ed">fea::ForceVector</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; ForceVector</div><div class="ttdef"><b>Definition:</b> threed_beam_fea.h:69</div></div>
<div class="ttc" id="options_8h_html"><div class="ttname"><a href="options_8h.html">options.h</a></div></div>
<div class="ttc" id="namespacefea_html"><div class="ttname"><a href="namespacefea.html">fea</a></div><div class="ttdef"><b>Definition:</b> containers.h:41</div></div>
<div class="ttc" id="classfea_1_1_global_stiff_assembler_html_ae07a113c97d0aa76a6391b4697961875"><div class="ttname"><a href="classfea_1_1_global_stiff_assembler.html#ae07a113c97d0aa76a6391b4697961875">fea::GlobalStiffAssembler::operator()</a></div><div class="ttdeci">void operator()(SparseMat &amp;Kg, const Job &amp;job, const std::vector&lt; Tie &gt; &amp;ties)</div><div class="ttdoc">Assembles the global stiffness matrix. </div><div class="ttdef"><b>Definition:</b> threed_beam_fea.cpp:231</div></div>
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