From e644a61179daa65dc5cdf1b6c657f0a86b8d7eb8 Mon Sep 17 00:00:00 2001
From: Ryan Latture <ryan.latture@gmail.com>
Date: Mon, 3 Oct 2016 22:40:03 -0700
Subject: [PATCH] Updated the docs to reflect the addition of linear
 multi-point contraints.

---
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 <div class="textblock">Here are the classes, structs, unions and interfaces with brief descriptions:</div><div class="directory">
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+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
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diff --git a/docs/html/cmd_8cpp_ab7c3e62134c4637270fa4f9e59fe7b7a_cgraph.dot b/docs/html/cmd_8cpp_ab7c3e62134c4637270fa4f9e59fe7b7a_cgraph.dot
new file mode 100644
index 0000000..f848093
--- /dev/null
+++ b/docs/html/cmd_8cpp_ab7c3e62134c4637270fa4f9e59fe7b7a_cgraph.dot
@@ -0,0 +1,37 @@
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+  Node2 -> Node3 [color="midnightblue",fontsize="10",style="solid",fontname="Helvetica"];
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-<div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">  313</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">NUM_DOFS</a></div>
-<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    };</div>
-<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;</div>
-<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;} <span class="comment">// namespace fea</span></div>
-<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;</div>
-<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;<span class="preprocessor">#endif // FEA_CONTAINERS_H</span></div>
-<div class="ttc" id="structfea_1_1_elem_html_a88281e9641b36b35643c099c0c6b3221"><div class="ttname"><a href="structfea_1_1_elem.html#a88281e9641b36b35643c099c0c6b3221">fea::Elem::props</a></div><div class="ttdeci">Props props</div><div class="ttdef"><b>Definition:</b> containers.h:223</div></div>
+<div class="line"><a name="l00309"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html">  309</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structfea_1_1_job.html">Job</a> {</div>
+<div class="line"><a name="l00310"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html#a1a32962efe8d9fe76eac1cf18c35e6a1">  310</a></span>&#160;        std::vector&lt;Node&gt; <a class="code" href="structfea_1_1_job.html#a1a32962efe8d9fe76eac1cf18c35e6a1">nodes</a>;</div>
+<div class="line"><a name="l00311"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html#af374a03a30bfbd91c4e97c8687b008b6">  311</a></span>&#160;        std::vector&lt;Eigen::Vector2i&gt; <a class="code" href="structfea_1_1_job.html#af374a03a30bfbd91c4e97c8687b008b6">elems</a>;</div>
+<div class="line"><a name="l00312"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html#a5d49a6edc7d07b58958d8dce331b6414">  312</a></span>&#160;        std::vector&lt;Props&gt; <a class="code" href="structfea_1_1_job.html#a5d49a6edc7d07b58958d8dce331b6414">props</a>;</div>
+<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html#aa35b101938e2dcc067955323bda576c5">  317</a></span>&#160;        <a class="code" href="structfea_1_1_job.html#aa35b101938e2dcc067955323bda576c5">Job</a>() : nodes(0), elems(0), props(0) { };</div>
+<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;</div>
+<div class="line"><a name="l00328"></a><span class="lineno"><a class="line" href="structfea_1_1_job.html#a1d38653e42f3ce0cf8dfa1929a03f372">  328</a></span>&#160;        <a class="code" href="structfea_1_1_job.html#a1d38653e42f3ce0cf8dfa1929a03f372">Job</a>(<span class="keyword">const</span> std::vector&lt;Node&gt; &amp;_nodes, <span class="keyword">const</span> std::vector&lt;Elem&gt; _elems) : nodes(_nodes) {</div>
+<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;            <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_elems = _elems.size();</div>
+<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;            elems.reserve(num_elems);</div>
+<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;            props.reserve(num_elems);</div>
+<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;</div>
+<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; num_elems; i++) {</div>
+<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;                elems.push_back(_elems[i].node_numbers);</div>
+<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;                props.push_back(_elems[i].props);</div>
+<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;            }</div>
+<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        };</div>
+<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    };</div>
+<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;</div>
+<div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">  343</a></span>&#160;    <span class="keyword">enum</span> <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">DOF</a> {</div>
+<div class="line"><a name="l00347"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">  347</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">DISPLACEMENT_X</a>,</div>
+<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;</div>
+<div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72ad39e7a11a71cac64252cb1fb1d94c7f9">  352</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72ad39e7a11a71cac64252cb1fb1d94c7f9">DISPLACEMENT_Y</a>,</div>
+<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;</div>
+<div class="line"><a name="l00357"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1">  357</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1">DISPLACEMENT_Z</a>,</div>
+<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;</div>
+<div class="line"><a name="l00362"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a5875f07a4a341f6533903a95fb7fe616">  362</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a5875f07a4a341f6533903a95fb7fe616">ROTATION_X</a>,</div>
+<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;</div>
+<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a21233443a44145b64de8926e26a32125">  367</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a21233443a44145b64de8926e26a32125">ROTATION_Y</a>,</div>
+<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;</div>
+<div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72adfd643a8bc8c19273cb8fb809692d97c">  372</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72adfd643a8bc8c19273cb8fb809692d97c">ROTATION_Z</a>,</div>
+<div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">  376</a></span>&#160;        <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">NUM_DOFS</a></div>
+<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    };</div>
+<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;</div>
+<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;} <span class="comment">// namespace fea</span></div>
+<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;</div>
+<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;<span class="preprocessor">#endif // FEA_CONTAINERS_H</span></div>
+<div class="ttc" id="structfea_1_1_elem_html_a88281e9641b36b35643c099c0c6b3221"><div class="ttname"><a href="structfea_1_1_elem.html#a88281e9641b36b35643c099c0c6b3221">fea::Elem::props</a></div><div class="ttdeci">Props props</div><div class="ttdef"><b>Definition:</b> containers.h:286</div></div>
 <div class="ttc" id="structfea_1_1_force_html_a93dc2d161dcecb97d3cf11231d3c3c6d"><div class="ttname"><a href="structfea_1_1_force.html#a93dc2d161dcecb97d3cf11231d3c3c6d">fea::Force::Force</a></div><div class="ttdeci">Force()</div><div class="ttdoc">Default Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:124</div></div>
 <div class="ttc" id="structfea_1_1_b_c_html_a48a4142bc6eb4dd9a45d6c8c832db23e"><div class="ttname"><a href="structfea_1_1_b_c.html#a48a4142bc6eb4dd9a45d6c8c832db23e">fea::BC::BC</a></div><div class="ttdeci">BC()</div><div class="ttdoc">Default Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:85</div></div>
-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1">fea::DISPLACEMENT_Z</a></div><div class="ttdef"><b>Definition:</b> containers.h:294</div></div>
+<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a83e84bbf75a8e85c73e0fd2bb935bcf1">fea::DISPLACEMENT_Z</a></div><div class="ttdef"><b>Definition:</b> containers.h:357</div></div>
 <div class="ttc" id="structfea_1_1_props_html_a50b3f8be74ee6d7957acc247aec96e63"><div class="ttname"><a href="structfea_1_1_props.html#a50b3f8be74ee6d7957acc247aec96e63">fea::Props::GJ</a></div><div class="ttdeci">double GJ</div><div class="ttdef"><b>Definition:</b> containers.h:153</div></div>
 <div class="ttc" id="structfea_1_1_force_html_a4230fda618e98c1a01e5effbbec346f4"><div class="ttname"><a href="structfea_1_1_force.html#a4230fda618e98c1a01e5effbbec346f4">fea::Force::dof</a></div><div class="ttdeci">unsigned int dof</div><div class="ttdef"><b>Definition:</b> containers.h:116</div></div>
+<div class="ttc" id="structfea_1_1_equation_1_1_term_html_a8d18a045bd4049d2e2a86a3c37f1cfcf"><div class="ttname"><a href="structfea_1_1_equation_1_1_term.html#a8d18a045bd4049d2e2a86a3c37f1cfcf">fea::Equation::Term::coefficient</a></div><div class="ttdeci">double coefficient</div><div class="ttdef"><b>Definition:</b> containers.h:249</div></div>
 <div class="ttc" id="structfea_1_1_b_c_html_a0c630a3b3740d63741acb1a10d356e8f"><div class="ttname"><a href="structfea_1_1_b_c.html#a0c630a3b3740d63741acb1a10d356e8f">fea::BC::value</a></div><div class="ttdeci">double value</div><div class="ttdef"><b>Definition:</b> containers.h:79</div></div>
 <div class="ttc" id="structfea_1_1_tie_html_a3542331e92a5ab360e5b56b41b4e52e7"><div class="ttname"><a href="structfea_1_1_tie.html#a3542331e92a5ab360e5b56b41b4e52e7">fea::Tie::Tie</a></div><div class="ttdeci">Tie()</div><div class="ttdoc">Default Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:204</div></div>
-<div class="ttc" id="structfea_1_1_job_html_af374a03a30bfbd91c4e97c8687b008b6"><div class="ttname"><a href="structfea_1_1_job.html#af374a03a30bfbd91c4e97c8687b008b6">fea::Job::elems</a></div><div class="ttdeci">std::vector&lt; Eigen::Vector2i &gt; elems</div><div class="ttdef"><b>Definition:</b> containers.h:248</div></div>
-<div class="ttc" id="structfea_1_1_elem_html_a74aa2ee3ce027958e8e159e9ede76f3e"><div class="ttname"><a href="structfea_1_1_elem.html#a74aa2ee3ce027958e8e159e9ede76f3e">fea::Elem::Elem</a></div><div class="ttdeci">Elem(unsigned int node1, unsigned int node2, const Props &amp;_props)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:238</div></div>
+<div class="ttc" id="structfea_1_1_job_html_af374a03a30bfbd91c4e97c8687b008b6"><div class="ttname"><a href="structfea_1_1_job.html#af374a03a30bfbd91c4e97c8687b008b6">fea::Job::elems</a></div><div class="ttdeci">std::vector&lt; Eigen::Vector2i &gt; elems</div><div class="ttdef"><b>Definition:</b> containers.h:311</div></div>
+<div class="ttc" id="structfea_1_1_equation_1_1_term_html_ad2443b6497c5c01ab544d3422a585225"><div class="ttname"><a href="structfea_1_1_equation_1_1_term.html#ad2443b6497c5c01ab544d3422a585225">fea::Equation::Term::dof</a></div><div class="ttdeci">unsigned int dof</div><div class="ttdef"><b>Definition:</b> containers.h:248</div></div>
+<div class="ttc" id="structfea_1_1_elem_html_a74aa2ee3ce027958e8e159e9ede76f3e"><div class="ttname"><a href="structfea_1_1_elem.html#a74aa2ee3ce027958e8e159e9ede76f3e">fea::Elem::Elem</a></div><div class="ttdeci">Elem(unsigned int node1, unsigned int node2, const Props &amp;_props)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:301</div></div>
 <div class="ttc" id="structfea_1_1_props_html_a2b62ce53dca695b6876b70e1c72052e9"><div class="ttname"><a href="structfea_1_1_props.html#a2b62ce53dca695b6876b70e1c72052e9">fea::Props::EA</a></div><div class="ttdeci">double EA</div><div class="ttdef"><b>Definition:</b> containers.h:150</div></div>
+<div class="ttc" id="structfea_1_1_equation_html_a1b996fd725fe977202ecd15cba6254ef"><div class="ttname"><a href="structfea_1_1_equation.html#a1b996fd725fe977202ecd15cba6254ef">fea::Equation::Equation</a></div><div class="ttdeci">Equation(const std::vector&lt; Term &gt; &amp;_terms)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:277</div></div>
 <div class="ttc" id="structfea_1_1_tie_html"><div class="ttname"><a href="structfea_1_1_tie.html">fea::Tie</a></div><div class="ttdoc">Places linear springs between all degrees of freedom of 2 nodes. </div><div class="ttdef"><b>Definition:</b> containers.h:194</div></div>
-<div class="ttc" id="structfea_1_1_job_html_a1a32962efe8d9fe76eac1cf18c35e6a1"><div class="ttname"><a href="structfea_1_1_job.html#a1a32962efe8d9fe76eac1cf18c35e6a1">fea::Job::nodes</a></div><div class="ttdeci">std::vector&lt; Node &gt; nodes</div><div class="ttdef"><b>Definition:</b> containers.h:247</div></div>
+<div class="ttc" id="structfea_1_1_job_html_a1a32962efe8d9fe76eac1cf18c35e6a1"><div class="ttname"><a href="structfea_1_1_job.html#a1a32962efe8d9fe76eac1cf18c35e6a1">fea::Job::nodes</a></div><div class="ttdeci">std::vector&lt; Node &gt; nodes</div><div class="ttdef"><b>Definition:</b> containers.h:310</div></div>
+<div class="ttc" id="structfea_1_1_equation_html_a270e2fc1882bbc16abb25e280d51141f"><div class="ttname"><a href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">fea::Equation::terms</a></div><div class="ttdeci">std::vector&lt; Term &gt; terms</div><div class="ttdef"><b>Definition:</b> containers.h:266</div></div>
 <div class="ttc" id="structfea_1_1_tie_html_a59e7666d7560877514f0e33487677a78"><div class="ttname"><a href="structfea_1_1_tie.html#a59e7666d7560877514f0e33487677a78">fea::Tie::Tie</a></div><div class="ttdeci">Tie(unsigned int _node_number_1, unsigned int _node_number_2, double _lmult, double _rmult)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:213</div></div>
 <div class="ttc" id="structfea_1_1_force_html"><div class="ttname"><a href="structfea_1_1_force.html">fea::Force</a></div><div class="ttdoc">A nodal force to enforce. </div><div class="ttdef"><b>Definition:</b> containers.h:109</div></div>
 <div class="ttc" id="structfea_1_1_b_c_html_a22487e8a29ef9567a10dacd2bf785128"><div class="ttname"><a href="structfea_1_1_b_c.html#a22487e8a29ef9567a10dacd2bf785128">fea::BC::node</a></div><div class="ttdeci">unsigned int node</div><div class="ttdef"><b>Definition:</b> containers.h:71</div></div>
-<div class="ttc" id="structfea_1_1_job_html_a5d49a6edc7d07b58958d8dce331b6414"><div class="ttname"><a href="structfea_1_1_job.html#a5d49a6edc7d07b58958d8dce331b6414">fea::Job::props</a></div><div class="ttdeci">std::vector&lt; Props &gt; props</div><div class="ttdef"><b>Definition:</b> containers.h:249</div></div>
+<div class="ttc" id="structfea_1_1_equation_1_1_term_html_af65c586bef5f968086647aa8028225a9"><div class="ttname"><a href="structfea_1_1_equation_1_1_term.html#af65c586bef5f968086647aa8028225a9">fea::Equation::Term::Term</a></div><div class="ttdeci">Term()</div><div class="ttdef"><b>Definition:</b> containers.h:254</div></div>
+<div class="ttc" id="structfea_1_1_job_html_a5d49a6edc7d07b58958d8dce331b6414"><div class="ttname"><a href="structfea_1_1_job.html#a5d49a6edc7d07b58958d8dce331b6414">fea::Job::props</a></div><div class="ttdeci">std::vector&lt; Props &gt; props</div><div class="ttdef"><b>Definition:</b> containers.h:312</div></div>
 <div class="ttc" id="structfea_1_1_force_html_a9c8775a2687d7ee6056f2667b3b81e7b"><div class="ttname"><a href="structfea_1_1_force.html#a9c8775a2687d7ee6056f2667b3b81e7b">fea::Force::node</a></div><div class="ttdeci">unsigned int node</div><div class="ttdef"><b>Definition:</b> containers.h:110</div></div>
 <div class="ttc" id="structfea_1_1_tie_html_aff1afe96a1c7f146950a4409f20cf40e"><div class="ttname"><a href="structfea_1_1_tie.html#aff1afe96a1c7f146950a4409f20cf40e">fea::Tie::lmult</a></div><div class="ttdeci">double lmult</div><div class="ttdef"><b>Definition:</b> containers.h:197</div></div>
-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">fea::NUM_DOFS</a></div><div class="ttdef"><b>Definition:</b> containers.h:313</div></div>
+<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72afce3a19d68579e4bffcf210a9ef03707">fea::NUM_DOFS</a></div><div class="ttdef"><b>Definition:</b> containers.h:376</div></div>
 <div class="ttc" id="structfea_1_1_b_c_html_af60be3c2cb271f75bc9f8d977a92f1bb"><div class="ttname"><a href="structfea_1_1_b_c.html#af60be3c2cb271f75bc9f8d977a92f1bb">fea::BC::dof</a></div><div class="ttdeci">unsigned int dof</div><div class="ttdef"><b>Definition:</b> containers.h:77</div></div>
 <div class="ttc" id="structfea_1_1_force_html_ad3752a20c2da0ddceb0e318517265444"><div class="ttname"><a href="structfea_1_1_force.html#ad3752a20c2da0ddceb0e318517265444">fea::Force::value</a></div><div class="ttdeci">double value</div><div class="ttdef"><b>Definition:</b> containers.h:118</div></div>
 <div class="ttc" id="structfea_1_1_props_html_a948ab7f45bf24f0bbe2b25767cffcc3e"><div class="ttname"><a href="structfea_1_1_props.html#a948ab7f45bf24f0bbe2b25767cffcc3e">fea::Props::EIz</a></div><div class="ttdeci">double EIz</div><div class="ttdef"><b>Definition:</b> containers.h:151</div></div>
-<div class="ttc" id="structfea_1_1_job_html_a1d38653e42f3ce0cf8dfa1929a03f372"><div class="ttname"><a href="structfea_1_1_job.html#a1d38653e42f3ce0cf8dfa1929a03f372">fea::Job::Job</a></div><div class="ttdeci">Job(const std::vector&lt; Node &gt; &amp;_nodes, const std::vector&lt; Elem &gt; _elems)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:265</div></div>
-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72adfd643a8bc8c19273cb8fb809692d97c"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72adfd643a8bc8c19273cb8fb809692d97c">fea::ROTATION_Z</a></div><div class="ttdef"><b>Definition:</b> containers.h:309</div></div>
+<div class="ttc" id="structfea_1_1_job_html_a1d38653e42f3ce0cf8dfa1929a03f372"><div class="ttname"><a href="structfea_1_1_job.html#a1d38653e42f3ce0cf8dfa1929a03f372">fea::Job::Job</a></div><div class="ttdeci">Job(const std::vector&lt; Node &gt; &amp;_nodes, const std::vector&lt; Elem &gt; _elems)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:328</div></div>
+<div class="ttc" id="structfea_1_1_equation_1_1_term_html_a24d698ad663bdd48a373c743e4cf079a"><div class="ttname"><a href="structfea_1_1_equation_1_1_term.html#a24d698ad663bdd48a373c743e4cf079a">fea::Equation::Term::Term</a></div><div class="ttdeci">Term(unsigned int _node_number, unsigned int _dof, double _coefficient)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:262</div></div>
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+<div class="ttc" id="structfea_1_1_equation_1_1_term_html"><div class="ttname"><a href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a></div><div class="ttdoc">A single term in the equation constraint. </div><div class="ttdef"><b>Definition:</b> containers.h:246</div></div>
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 <div class="ttc" id="structfea_1_1_props_html_aba3dceb749ec5a92dc4936dfcb0520d8"><div class="ttname"><a href="structfea_1_1_props.html#aba3dceb749ec5a92dc4936dfcb0520d8">fea::Props::EIy</a></div><div class="ttdeci">double EIy</div><div class="ttdef"><b>Definition:</b> containers.h:152</div></div>
-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">fea::DOF</a></div><div class="ttdeci">DOF</div><div class="ttdoc">Convenience enumerator for specifying the active degree of freedom in a constraint. </div><div class="ttdef"><b>Definition:</b> containers.h:280</div></div>
+<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">fea::DOF</a></div><div class="ttdeci">DOF</div><div class="ttdoc">Convenience enumerator for specifying the active degree of freedom in a constraint. </div><div class="ttdef"><b>Definition:</b> containers.h:343</div></div>
 <div class="ttc" id="structfea_1_1_b_c_html_a6b9028bb4398feaf7edc7467ef6fe447"><div class="ttname"><a href="structfea_1_1_b_c.html#a6b9028bb4398feaf7edc7467ef6fe447">fea::BC::BC</a></div><div class="ttdeci">BC(unsigned int _node, unsigned int _dof, double _value)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> containers.h:93</div></div>
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-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">fea::DISPLACEMENT_X</a></div><div class="ttdef"><b>Definition:</b> containers.h:284</div></div>
+<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">fea::DISPLACEMENT_X</a></div><div class="ttdef"><b>Definition:</b> containers.h:347</div></div>
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-<div class="ttc" id="namespacefea_html_aeaca75d33e81b79c9282f3e69a238d72a5875f07a4a341f6533903a95fb7fe616"><div class="ttname"><a href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a5875f07a4a341f6533903a95fb7fe616">fea::ROTATION_X</a></div><div class="ttdef"><b>Definition:</b> containers.h:299</div></div>
-<div class="ttc" id="structfea_1_1_elem_html"><div class="ttname"><a href="structfea_1_1_elem.html">fea::Elem</a></div><div class="ttdoc">An element of the mesh. Contains the indices of the two fea::Node&#39;s that form the element as well as ...</div><div class="ttdef"><b>Definition:</b> containers.h:221</div></div>
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+<div class="ttc" id="structfea_1_1_elem_html"><div class="ttname"><a href="structfea_1_1_elem.html">fea::Elem</a></div><div class="ttdoc">An element of the mesh. Contains the indices of the two fea::Node&#39;s that form the element as well as ...</div><div class="ttdef"><b>Definition:</b> containers.h:284</div></div>
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@@ -102,24 +102,26 @@ This inheritance list is sorted roughly, but not completely, alphabetically:</di
 <tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_b_c.html" target="_self">fea::BC</a></td><td class="desc">A boundary condition to enforce </td></tr>
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-<tr id="row_3_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_force.html" target="_self">fea::Force</a></td><td class="desc">A nodal force to enforce </td></tr>
-<tr id="row_4_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classfea_1_1_global_stiff_assembler.html" target="_self">fea::GlobalStiffAssembler</a></td><td class="desc">Assembles the global stiffness matrix </td></tr>
-<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_job.html" target="_self">fea::Job</a></td><td class="desc">Contains a node list, element list, and the properties of each element </td></tr>
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-<tr id="row_9_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structqt__meta__stringdata___main_window__t.html" target="_self">qt_meta_stringdata_MainWindow_t</a></td><td class="desc"></td></tr>
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-<tr id="row_11_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_tie.html" target="_self">fea::Tie</a></td><td class="desc">Places linear springs between all degrees of freedom of 2 nodes </td></tr>
+<tr id="row_3_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_equation.html" target="_self">fea::Equation</a></td><td class="desc">A linear multipoint constraint </td></tr>
+<tr id="row_4_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_force.html" target="_self">fea::Force</a></td><td class="desc">A nodal force to enforce </td></tr>
+<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classfea_1_1_global_stiff_assembler.html" target="_self">fea::GlobalStiffAssembler</a></td><td class="desc">Assembles the global stiffness matrix </td></tr>
+<tr id="row_6_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_job.html" target="_self">fea::Job</a></td><td class="desc">Contains a node list, element list, and the properties of each element </td></tr>
+<tr id="row_7_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_options.html" target="_self">fea::Options</a></td><td class="desc">Provides a method for customizing the finite element analysis </td></tr>
+<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_props.html" target="_self">fea::Props</a></td><td class="desc">The set of properties associated with an element </td></tr>
+<tr id="row_9_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="toggleFolder('9_')">&#9660;</span><span class="icona"><span class="icon">C</span></span><b>QMainWindow</b></td><td class="desc"></td></tr>
+<tr id="row_9_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="class_main_window.html" target="_self">MainWindow</a></td><td class="desc"></td></tr>
+<tr id="row_10_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structqt__meta__stringdata___main_window__t.html" target="_self">qt_meta_stringdata_MainWindow_t</a></td><td class="desc"></td></tr>
+<tr id="row_11_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_summary.html" target="_self">fea::Summary</a></td><td class="desc">Contains the results of an analysis after calling <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> </td></tr>
+<tr id="row_12_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_equation_1_1_term.html" target="_self">fea::Equation::Term</a></td><td class="desc">A single term in the equation constraint </td></tr>
+<tr id="row_13_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structfea_1_1_tie.html" target="_self">fea::Tie</a></td><td class="desc">Places linear springs between all degrees of freedom of 2 nodes </td></tr>
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@@ -3,7 +3,7 @@
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 <title>3D Beam Finite Element Code: Main Page</title>
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+  <td style="padding-left: 0.5em;">
    <div id="projectname">3D Beam Finite Element Code
    &#160;<span id="projectnumber">1.0</span>
    </div>
@@ -39,7 +39,7 @@
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@@ -88,8 +88,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 </div><!--header-->
 <div class="contents">
 <div class="textblock"><h2>Getting started</h2>
-<p>This project requires CMake to compile the code. If not installed, install CMake before continuing. If you intend on building the GUI, Qt must be installed and the path to the Qt5WidgetsConfig.cmake file must be set when invoking CMake. Currently, the following method of building the GUI works on Mac and Linux. If running on Windows, open the fea_gui.pro file with QtCreator (included with the Qt installation) and run. Alternatively, I can package pre-built binaries if there is interest. <br />
-</p><h4>To compile the code:</h4>
+<p>This project requires CMake to compile the code. If not installed, please install CMake before continuing. If you intend on building the GUI, Qt must be installed and the path to the Qt5WidgetsConfig.cmake file must be set when invoking CMake. Currently, the following method of building the GUI works on Mac and Linux. If running on Windows, open the fea_gui.pro file with QtCreator (included with the Qt installation) and run. Alternatively, I can package pre-built binaries if there is interest. </p><h4>To compile the code:</h4>
 <ol type="1">
 <li>Open the <code>threed-beam-fea</code> directory</li>
 <li>Create a folder named <code>build</code></li>
@@ -99,8 +98,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <li>If you wish to build the GUI execute <code>cmake .. -DFEA_BUILD_GUI=ON -DCMAKE_PREFIX_PATH="/path/to/Qt"</code><ul>
 <li>This requires you have Qt &gt;= 5.0 installed.</li>
 <li><code>-DFEA_BUILD_GUI=ON</code> tells cmake to add the <code>../gui</code> subdirectory and adds <code>fea_gui</code> to the targets.</li>
-<li><code>-DCMAKE_PREFIX_PATH="/path/to/Qt"</code> should be the path to the Qt root directory. <br />
- As an example, on my computer the flag is set to "/home/ryan/Qt/5.5/gcc_64/", though this will be different on your machine.</li>
+<li><code>-DCMAKE_PREFIX_PATH="/path/to/Qt"</code> should be the path to the Qt root directory. As an example, on my computer the flag is set to "/home/ryan/Qt/5.5/gcc_64/", though this will be different on your machine.</li>
 </ul>
 </li>
 </ul>
@@ -108,11 +106,11 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <li>On Linux run <code>make</code> in the terminal from the build directory to build all the targets. On Windows the solution file will be located in the build directory. Open the solution file in Visual Studio and compile.</li>
 </ol>
 <h2>Introduction</h2>
-<p>This contains a C++ implementation of 3D Euler-Bernoulli beam element formulation. An analysis can be formulated in C++, through a command line interface via a config file, or using the graphical user interface.</p>
+<p>This contains a C++ implementation of 3D Euler-Bernoulli beam element formulation. An analysis can be formulated in C++, through a command line interface via a configuration file (in JSON format), or using the graphical user interface.</p>
 <h3>Method 1: Using C++</h3>
-<p>An analysis consists of the <code><a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">fea::Job</a></code> as well as any boundary conditions (<code><a class="el" href="structfea_1_1_b_c.html" title="A boundary condition to enforce. ">fea::BC</a></code>), prescribed nodal forces (<code><a class="el" href="structfea_1_1_force.html" title="A nodal force to enforce. ">fea::Force</a></code>), and ties (<code><a class="el" href="structfea_1_1_tie.html" title="Places linear springs between all degrees of freedom of 2 nodes. ">fea::Tie</a></code>). The latter of which ties to nodes together via a linear springs between all translational and rotational degrees of freedom. The <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct can be used to request results of the analysis be written to disk as well as modify various aspect of the analysis.</p>
+<p>An analysis consists of the <code><a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">fea::Job</a></code> as well as any boundary conditions (<code><a class="el" href="structfea_1_1_b_c.html" title="A boundary condition to enforce. ">fea::BC</a></code>), prescribed nodal forces (<code><a class="el" href="structfea_1_1_force.html" title="A nodal force to enforce. ">fea::Force</a></code>), ties (<code><a class="el" href="structfea_1_1_tie.html" title="Places linear springs between all degrees of freedom of 2 nodes. ">fea::Tie</a></code>) and equation constraints (<code><a class="el" href="structfea_1_1_equation.html" title="A linear multipoint constraint. ">fea::Equation</a></code>). Ties to nodes together via a linear springs between all translational and rotational degrees of freedom, and equation constraints allow linear multi-point constraints to be applied to the model. The <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct can be used to request results of the analysis be written to disk as well as modify various aspect of the analysis.</p>
 <h4>Forming the job</h4>
-<p>The job defines the nodal coordinates in \((x, y, z)\) space, the nodes that are connected to form beam elements, and the elemental properties. The nodal coordinates are formed as a vector of <code><a class="el" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9" title="A node that describes a mesh. Uses Eigen&#39;s predefined Vector class for added functionality. ">fea::Node</a></code>'s where each node simply contains the \((x, y, z)\) coordinates of the point. An element contains the 2 nodal indices that are connected to form the element as well as the associated properties of the element. The properties must define the extensional stiffness, \(EA\), bending stiffness parallel to the local z-axis \(EI_{z}\), bending stiffness parallel to the local y-axis \(EI_{y}\), the torsional stiffness, \(GJ\), and a vector pointing along the beam elements local y-axis. An example forming a simple job with a single element is shown below.</p>
+<p>The job defines the nodal coordinates in <code>(x, y, z)</code> space, the nodes that are connected to form beam elements, and the elemental properties. The nodal coordinates are formed as a vector of <code><a class="el" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9" title="A node that describes a mesh. Uses Eigen&#39;s predefined Vector class for added functionality. ">fea::Node</a></code>'s where each node simply contains the <code>(x, y, z)</code> coordinates of the point. An element contains the 2 nodal indices that are connected to form the element as well as the associated properties of the element. The properties must define the extensional stiffness, <code>EA</code>, bending stiffness parallel to the local z-axis <code>EIz</code>, bending stiffness parallel to the local y-axis <code>EIy</code>, the torsional stiffness, <code>GJ</code>, and a vector pointing along the beam elements local y-axis. An example forming a simple job with a single element is shown below.</p>
 <div class="fragment"><div class="line"><span class="comment">// [form the node list</span></div>
 <div class="line"><a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">fea::Node</a> node1, node2;</div>
 <div class="line"></div>
@@ -184,7 +182,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line"><span class="comment">// add to the list of forces for the analysis</span></div>
 <div class="line">std::vector&lt;fea::Force&gt; force_list</div>
 </div><!-- fragment --><h4>Options</h4>
-<p>By default submitting an analysis to the <code><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> function will not save the results. The outputs must be requested using the <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct. Using the appropriate member variables nodal displacements, nodal forces, and the forces associated with ties can be saved to a CSV file. The name of the file the output is saved to is also set in the options as well as the delimiter used when writing the data to disk. Additionally, the <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct has the ability to set the epsilon value on nodal forces and displacements. After the analysis if the magnitude of the displacement is below the epsilon value, it will be set to 0.0. The default is <code>1.0e-14</code>. A summary of the analysis can be saved to a text file using the <code>save_report</code> and <code>report_filename</code> member variables of <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code>. If the <code>verbose</code> member is set to <code>true</code> informational messages regarding the current step and time taken on previous steps of the analysis will be written to <code>std::cout</code>. An example of customizing the analysis with the options struct is shown below:</p>
+<p>By default submitting an analysis to the <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> function will not save the results. The outputs must be requested using the <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct. Using the appropriate member variables nodal displacements, nodal forces, and the forces associated with ties can be saved to a CSV file. The name of the file the output is saved to is also set in the options as well as the delimiter used when writing the data to disk. Additionally, the <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code> struct has the ability to set the epsilon value on nodal forces and displacements. After the analysis if the magnitude of the displacement is below the epsilon value, it will be set to 0.0. The default is <code>1.0e-14</code>. A summary of the analysis can be saved to a text file using the <code>save_report</code> and <code>report_filename</code> member variables of <code><a class="el" href="structfea_1_1_options.html" title="Provides a method for customizing the finite element analysis. ">fea::Options</a></code>. If the <code>verbose</code> member is set to <code>true</code> informational messages regarding the current step and time taken on previous steps of the analysis will be written to <code>std::cout</code>. An example of customizing the analysis with the options struct is shown below:</p>
 <div class="fragment"><div class="line"><span class="comment">// create the default options</span></div>
 <div class="line"><a class="code" href="structfea_1_1_options.html">fea::Options</a> opts;</div>
 <div class="line"></div>
@@ -201,14 +199,43 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line"><span class="comment">// have the program output status updates</span></div>
 <div class="line">opts.<a class="code" href="structfea_1_1_options.html#a7fc006a76a6edea968fb6e5b63e0b56d">verbose</a> = <span class="keyword">true</span>;</div>
 </div><!-- fragment --><h4>Solving</h4>
-<p>Once the analysis has been setup, it can be solved using the <code><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> function. This functions takes as input the job, boundary conditions, prescribed nodal forces, ties (discussed below), and options. <code><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> will solve the analysis, save the requested files, and return a summary of the analysis. The <code><a class="el" href="structfea_1_1_summary.html" title="Contains the results of an analysis after calling fea::solve. ">fea::Summary</a></code> object can return a report of the analysis in the form of a string using the <code>fea::Summary::fullReport()</code> function, and member variables <code><a class="el" href="structfea_1_1_summary.html#a9858284f86514f1d7922bc7c458da385">fea::Summary::nodal_forces</a></code>, <code><a class="el" href="structfea_1_1_summary.html#ad05822565a41e374c77f84c6c3b358b2">fea::Summary::nodal_displacements</a></code>, and <code><a class="el" href="structfea_1_1_summary.html#af1822f670a2d6bfbf76f042a0cb544ff">fea::Summary::tie_forces</a></code> contain the results of the analysis.</p>
+<p>Once the analysis has been setup, it can be solved using the <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> function. This functions takes as input the job, boundary conditions, prescribed nodal forces, ties (discussed below), and options. <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code> will solve the analysis, save the requested files, and return a summary of the analysis. The <code><a class="el" href="structfea_1_1_summary.html" title="Contains the results of an analysis after calling fea::solve. ">fea::Summary</a></code> object can return a report of the analysis in the form of a string using the <code>fea::Summary::fullReport()</code> function, and member variables <code><a class="el" href="structfea_1_1_summary.html#a9858284f86514f1d7922bc7c458da385">fea::Summary::nodal_forces</a></code>, <code><a class="el" href="structfea_1_1_summary.html#ad05822565a41e374c77f84c6c3b358b2">fea::Summary::nodal_displacements</a></code>, and <code><a class="el" href="structfea_1_1_summary.html#af1822f670a2d6bfbf76f042a0cb544ff">fea::Summary::tie_forces</a></code> contain the results of the analysis.</p>
 <div class="fragment"><div class="line"><span class="comment">// form an empty vector of ties since none were prescribed</span></div>
 <div class="line">std::vector&lt;fea::Tie&gt; tie_list;</div>
 <div class="line"></div>
-<div class="line"><a class="code" href="structfea_1_1_summary.html">fea::Summary</a> summary = <a class="code" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">fea::solve</a>(job, node_list, elem_list, bc_list, force_list, tie_list, opts);</div>
+<div class="line"><span class="comment">// also create an empty list of equations as none were prescribed</span></div>
+<div class="line">std::vector&lt;fea::Equation&gt; eqn_list;</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="structfea_1_1_summary.html">fea::Summary</a> summary = <a class="code" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">fea::solve</a>(job, node_list, elem_list, bc_list, force_list, tie_list, eqn_list, opts);</div>
 <div class="line"></div>
 <div class="line"><span class="comment">// print a report of the analysis</span></div>
 <div class="line">std::cout &lt;&lt; summary.fullReport() &lt;&lt; std::endl;</div>
+</div><!-- fragment --><p>Upon successful compilation the full report printed to the command line should resemble:</p>
+<div class="fragment"><div class="line">Finite Element Analysis Summary</div>
+<div class="line"></div>
+<div class="line">Model parameters</div>
+<div class="line">  Nodes                : 2</div>
+<div class="line">  Elements             : 1</div>
+<div class="line">  BCs                  : 6</div>
+<div class="line">  Ties                 : 0</div>
+<div class="line">  Forces               : 0</div>
+<div class="line">  Equations            : 0</div>
+<div class="line"></div>
+<div class="line">Total time 0ms</div>
+<div class="line">  Assembly time                  : 0ms</div>
+<div class="line">  Preprocessesing time           : 0ms</div>
+<div class="line">  Factorization time             : 0ms</div>
+<div class="line">  Linear <a class="code" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">solve</a> time              : 0ms</div>
+<div class="line">  Forces <a class="code" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">solve</a> time              : 0ms</div>
+<div class="line">  File save time                 : 0ms</div>
+<div class="line"></div>
+<div class="line">Nodal displacements</div>
+<div class="line">  Minimum : <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> 0  <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">DOF</a> 0 Value 0.000</div>
+<div class="line">  Maximum : <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> 1  <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">DOF</a> 5 Value 0.005</div>
+<div class="line"></div>
+<div class="line">Nodal Forces</div>
+<div class="line">  Minimum : <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> 0  <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">DOF</a> 1 Value -1.000</div>
+<div class="line">  Maximum : <a class="code" href="namespacefea.html#acea7372904bb1c5f0570e9a53cf6fba9">Node</a> 1  <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72">DOF</a> 1 Value 1.000</div>
 </div><!-- fragment --><h4>Ties</h4>
 <p>Ties are enforced by placing linear springs between all degrees of freedom for 2 nodes. To form a tie specify the 2 nodes that will be linked as well as the spring constants for translational and rotational degrees of freedom. All translational degrees of freedom will be assigned the same spring constant. The same is true for rotational degrees of freedom, although the spring constant does not have to be the same as that used for the translational DOFs. Commonly, ties are used to model non-rigid joints. To form a joint between 2 elements, introduce a redundant node at that location and use a tie to link the to nodes together. This essentially places a spring element between the two points of the specified stiffness.</p>
 <div class="fragment"><div class="line"><span class="comment">// form the job with a redundant node at (1, 0, 0)</span></div>
@@ -251,15 +278,25 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line"></div>
 <div class="line"><span class="comment">// add to list of ties</span></div>
 <div class="line">std::vector&lt;fea::Tie&gt; tie_list = {tie1};</div>
+</div><!-- fragment --><h4>Equations</h4>
+<p>Equations are linear multi-point constraints that are applied to nodal degrees of freedom. Each equation is composed of a list of terms that sum to zero, e.g. <code>t1 + t2 + t3 ... = 0</code>, where <code>tn</code> is the <code>n</code>th term. Each term specifies the node number, degree of freedom and coefficient. The node number and degree of freedom specify which nodal variable (either nodal displacement or rotation) is involved with the equation constraint, and coefficient is multiplied by the specified nodal variable when forming the equation. Note, the equation sums to zero, so in order to specify that 2 nodal degrees of freedom are equal their coefficients should be equal and opposite.</p>
+<div class="fragment"><div class="line"><span class="comment">// Create an empty equation</span></div>
+<div class="line"><a class="code" href="structfea_1_1_equation.html">fea::Equation</a> eqn;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">// Stipulate that the x and y displacement for the first node must be equal</span></div>
+<div class="line"><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> node_number = 0;</div>
+<div class="line">eqn.<a class="code" href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">terms</a>.push_back(<a class="code" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a>(node_number, <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">fea::DOF::DISPLACEMENT_X</a>, 1.0));</div>
+<div class="line">eqn.<a class="code" href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">terms</a>.push_back(<a class="code" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a>(node_number, <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72ad39e7a11a71cac64252cb1fb1d94c7f9">fea::DOF::DISPLACEMENT_Y</a>, -1.0);</div>
 </div><!-- fragment --><h3>Method 2: Using the command line interface</h3>
 <p>After using CMake to build the targets, an executable will be created that provide a command line interface (CLI) to the beam element code. Once in the build directory, navigate to the <code>bin</code> folder containing fea_cmd. running <code>./fea_cmd -h</code> from the terminal will show the help documentation for the program. The CLI expects the <code>-c</code> flag to be set and point to the config file for the current analysis. A config file is a JSON document that contains key, value pairs pointing to the nodes, elements, properties, and other analysis options. An example is shown below.</p>
 <div class="fragment"><div class="line">{</div>
-<div class="line">    <span class="stringliteral">&quot;nodes&quot;</span>   : <span class="stringliteral">&quot;path/to/nodes.csv&quot;</span>,</div>
-<div class="line">    <span class="stringliteral">&quot;elems&quot;</span>   : <span class="stringliteral">&quot;path/to/elems.csv&quot;</span>,</div>
-<div class="line">    <span class="stringliteral">&quot;props&quot;</span>   : <span class="stringliteral">&quot;path/to/props.csv&quot;</span>,</div>
-<div class="line">    <span class="stringliteral">&quot;bcs&quot;</span>     : <span class="stringliteral">&quot;path/to/bcs.csv&quot;</span>,</div>
-<div class="line">    <span class="stringliteral">&quot;forces&quot;</span>  : <span class="stringliteral">&quot;path/to/forces.csv&quot;</span>,</div>
-<div class="line">    <span class="stringliteral">&quot;ties&quot;</span>    : <span class="stringliteral">&quot;path/to/ties.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;nodes&quot;</span>      : <span class="stringliteral">&quot;path/to/nodes.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;elems&quot;</span>      : <span class="stringliteral">&quot;path/to/elems.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;props&quot;</span>      : <span class="stringliteral">&quot;path/to/props.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;bcs&quot;</span>        : <span class="stringliteral">&quot;path/to/bcs.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;forces&quot;</span>     : <span class="stringliteral">&quot;path/to/forces.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;ties&quot;</span>       : <span class="stringliteral">&quot;path/to/ties.csv&quot;</span>,</div>
+<div class="line">    <span class="stringliteral">&quot;equations&quot;</span>  : <span class="stringliteral">&quot;path/to/equations.csv&quot;</span>,</div>
 <div class="line">    <span class="stringliteral">&quot;options&quot;</span> : {</div>
 <div class="line">                    <span class="stringliteral">&quot;epsilon&quot;</span> : 1.0E-14,</div>
 <div class="line">                    <span class="stringliteral">&quot;csv_delimiter&quot;</span> : <span class="stringliteral">&quot;,&quot;</span>,</div>
@@ -275,9 +312,12 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line">                    <span class="stringliteral">&quot;verbose&quot;</span> : <span class="keyword">true</span></div>
 <div class="line">                }</div>
 <div class="line">}</div>
-</div><!-- fragment --><p>The use of a JSON document avoids the need to set each of these options using command line options, which can become tedious when running multiple jobs. The "nodes", "elems", and "props" keys are required. Keys "bcs", "forces", and "ties" are optional&ndash;if not provided the analysis will assume none were prescribed. If the "options" key is not provided the analysis will run with the default options. Any of all of the "options" keys presented above can be used to customize the analysis. If a key is not provided the default value is used in its place. See the Formatting CSV Files section below for how the CSV files should be created.</p>
+</div><!-- fragment --><p>The use of a JSON document avoids the need to set each of these options using command line options, which can become tedious when running multiple jobs. The "nodes", "elems", and "props" keys are required. Keys "bcs", "forces", "ties" and "equations" are optional&ndash;if not provided the analysis will assume none were prescribed. If the "options" key is not provided the analysis will run with the default options. Any of all of the "options" keys presented above can be used to customize the analysis. If a key is not provided the default value is used in its place. See the Formatting CSV Files section below for how the CSV files should be created.</p>
 <h3>Method 3: Using the GUI</h3>
 <p>A simple graphical user interface can be used to set up an analysis. Internally, the GUI creates the JSON file used by the CLI (see above) without the need to write the file by hand. The program then saves a temporary configuration file and submits it to the command line application. This requires that the command line application has been compiled and is located in the same directory as the GUI. To open the GUI navigate to the build folder and open the fea_gui executable located in the <code>bin</code> directory. The first set of buttons allows the path to the CSV files to be set, and the second set of controls customizes the options. Once the files and options have been configured, clicking the submit button will run the analysis.</p>
+<div class="image">
+<img src="assets/fea_gui_screenshot.png"  alt="GUI screenshot"/>
+</div>
 <h2>Formatting CSV files</h2>
 <p>All CSV file must be comma delimited with no spaces between values, i.e. one row of the nodal coordinates file might resemble <code>1.0,2.0,3.0</code>. The file indicated by the value of "nodes" should be in the format:</p>
 <div class="fragment"><div class="line">x1,y1,z1</div>
@@ -300,7 +340,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line">...</div>
 <div class="line">...</div>
 <div class="line">elN_EA,elN_EIz,elN_EIy,elN_GJ,elN_nvec_x_comp,elN_nvec_y_comp,elN_nvec_z_comp</div>
-</div><!-- fragment --><p>where each entry is a double and each line has 7 entries. The "bcs" and "forces" CSV files have the same format. Each line specifies the node number, degree of freedom, and value:</p>
+</div><!-- fragment --><p>where each entry is a double and each line has 7 entries. The "bcs" and "forces" CSV files have the same format as each other. Each line specifies the node number, degree of freedom, and value:</p>
 <div class="fragment"><div class="line">bc1_node_num,bc1_dof,bc1_value</div>
 <div class="line">bc2_node_num,bc2_dof,bc2_value</div>
 <div class="line">...</div>
@@ -314,17 +354,25 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
 <div class="line">...</div>
 <div class="line">...</div>
 <div class="line">tieN_node_num1,tieN_node_num2,tieN_lmult,tieN_rmult</div>
-</div><!-- fragment --><p>where <code>lmult</code> is the spring constant for the translational degrees of freedom and <code>rmult</code> is the spring constant for the rotational degrees of freedom.</p>
-<h2>Contact</h2>
+</div><!-- fragment --><p>where <code>lmult</code> is the spring constant for the translational degrees of freedom and <code>rmult</code> is the spring constant for the rotational degrees of freedom. Equation constraints are specified by a series of 3 items (representing a single term) repeated until the desired number of terms are created. Each term is defined by the node index, degree of freedom for the specified node, and the coefficient that will multiply the nodal degree of freedom. For example a single equation constraint that specifies that the x and y displacements for the first node must remain equal is given by:</p>
+<div class="fragment"><div class="line">0,0,1,0,1,-1</div>
+</div><!-- fragment --><p>in general the equations CSV file will be resemble:</p>
+<div class="fragment"><div class="line">eq1_term1_node,eq1_term1_dof,eq1_term1_coeff,...</div>
+<div class="line">eq2_term1_node,eq2_term1_dof,eq2_term1_coeff,...</div>
+<div class="line">...</div>
+<div class="line">...</div>
+<div class="line">...</div>
+<div class="line">eqN_term1_node,eqN_term1_dof,eqN_term1_coeff,...</div>
+</div><!-- fragment --><h2>Contact</h2>
 <ul>
 <li>Ryan Latture (<a href="#" onclick="location.href='mai'+'lto:'+'rya'+'n.'+'lat'+'tu'+'re@'+'gm'+'ail'+'.c'+'om'; return false;">ryan.<span style="display: none;">.nosp@m.</span>latt<span style="display: none;">.nosp@m.</span>ure@g<span style="display: none;">.nosp@m.</span>mail<span style="display: none;">.nosp@m.</span>.com</a>) </li>
 </ul>
 </div></div><!-- contents -->
 <!-- start footer part -->
 <hr class="footer"/><address class="footer"><small>
-Generated on Mon Nov 9 2015 11:57:00 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
 <img class="footer" src="doxygen.png" alt="doxygen"/>
-</a> 1.8.10
+</a> 1.8.9.1
 </small></address>
 </body>
 </html>
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+ }</td></tr>
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 <tr class="memitem:a2fcdf225a9bd25d73c5494d86597025c"><td class="memItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="structfea_1_1_tie.html">Tie</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#a2fcdf225a9bd25d73c5494d86597025c">createTieVecFromJSON</a> (const rapidjson::Document &amp;config_doc)</td></tr>
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+<tr class="memitem:a231f5a0658f5b9fe97182c405a455d03"><td class="memItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="structfea_1_1_equation.html">Equation</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#a231f5a0658f5b9fe97182c405a455d03">createEquationVecFromJSON</a> (const rapidjson::Document &amp;config_doc)</td></tr>
+<tr class="separator:a231f5a0658f5b9fe97182c405a455d03"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:aad7c45b93603bd80a9ff05c5e5c9a77c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structfea_1_1_job.html">Job</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#aad7c45b93603bd80a9ff05c5e5c9a77c">createJobFromJSON</a> (const rapidjson::Document &amp;config_doc)</td></tr>
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@@ -192,6 +197,8 @@ Functions</h2></td></tr>
 <tr class="memitem:a9a7fec579a34d0fed8339237f2cfe994"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#a9a7fec579a34d0fed8339237f2cfe994">loadBCs</a> (<a class="el" href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662">SparseMat</a> &amp;Kg, <a class="el" href="namespacefea.html#a0cab5016018de58ed55a874e7fee68ed">ForceVector</a> &amp;force_vec, const std::vector&lt; <a class="el" href="structfea_1_1_b_c.html">BC</a> &gt; &amp;BCs, unsigned int num_nodes)</td></tr>
 <tr class="memdesc:a9a7fec579a34d0fed8339237f2cfe994"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads the boundary conditions into the global stiffness matrix and force vector.  <a href="#a9a7fec579a34d0fed8339237f2cfe994">More...</a><br /></td></tr>
 <tr class="separator:a9a7fec579a34d0fed8339237f2cfe994"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad84d1896799e4150617b01d8cce6e699"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#ad84d1896799e4150617b01d8cce6e699">loadEquations</a> (<a class="el" href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662">SparseMat</a> &amp;Kg, const std::vector&lt; <a class="el" href="structfea_1_1_equation.html">Equation</a> &gt; &amp;equations, unsigned int num_nodes, unsigned int num_bcs)</td></tr>
+<tr class="separator:ad84d1896799e4150617b01d8cce6e699"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:adb99d60a0e4eb10e55a7c52044efb6e3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#adb99d60a0e4eb10e55a7c52044efb6e3">loadTies</a> (std::vector&lt; Eigen::Triplet&lt; double &gt; &gt; &amp;triplets, const std::vector&lt; <a class="el" href="structfea_1_1_tie.html">Tie</a> &gt; &amp;ties)</td></tr>
 <tr class="memdesc:adb99d60a0e4eb10e55a7c52044efb6e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads any tie constraints into the set of triplets that will become the global stiffness matrix.  <a href="#adb99d60a0e4eb10e55a7c52044efb6e3">More...</a><br /></td></tr>
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@@ -201,9 +208,9 @@ Functions</h2></td></tr>
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 <tr class="memdesc:af9e37d32f38ace35944f1e63f4a447fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads the prescribed forces into the force vector.  <a href="#af9e37d32f38ace35944f1e63f4a447fa">More...</a><br /></td></tr>
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-<tr class="memitem:aca9724c7cab58b0671b29f3f4318e599"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structfea_1_1_summary.html">Summary</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">solve</a> (const <a class="el" href="structfea_1_1_job.html">Job</a> &amp;job, const std::vector&lt; <a class="el" href="structfea_1_1_b_c.html">BC</a> &gt; &amp;BCs, const std::vector&lt; <a class="el" href="structfea_1_1_force.html">Force</a> &gt; &amp;forces, const std::vector&lt; <a class="el" href="structfea_1_1_tie.html">Tie</a> &gt; &amp;ties, const <a class="el" href="structfea_1_1_options.html">Options</a> &amp;options)</td></tr>
-<tr class="memdesc:aca9724c7cab58b0671b29f3f4318e599"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the finite element analysis defined by the input <a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">Job</a>, boundary conditions, and prescribed nodal forces.  <a href="#aca9724c7cab58b0671b29f3f4318e599">More...</a><br /></td></tr>
-<tr class="separator:aca9724c7cab58b0671b29f3f4318e599"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a995a678cf119fb20772312ccfdbec991"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structfea_1_1_summary.html">Summary</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">solve</a> (const <a class="el" href="structfea_1_1_job.html">Job</a> &amp;job, const std::vector&lt; <a class="el" href="structfea_1_1_b_c.html">BC</a> &gt; &amp;BCs, const std::vector&lt; <a class="el" href="structfea_1_1_force.html">Force</a> &gt; &amp;forces, const std::vector&lt; <a class="el" href="structfea_1_1_tie.html">Tie</a> &gt; &amp;ties, const std::vector&lt; <a class="el" href="structfea_1_1_equation.html">Equation</a> &gt; &amp;equations, const <a class="el" href="structfea_1_1_options.html">Options</a> &amp;options)</td></tr>
+<tr class="memdesc:a995a678cf119fb20772312ccfdbec991"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the finite element analysis defined by the input <a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">Job</a>, boundary conditions, and prescribed nodal forces.  <a href="#a995a678cf119fb20772312ccfdbec991">More...</a><br /></td></tr>
+<tr class="separator:a995a678cf119fb20772312ccfdbec991"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="a231f5a0658f5b9fe97182c405a455d03"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; <a class="el" href="structfea_1_1_equation.html">Equation</a> &gt; fea::createEquationVecFromJSON </td>
+          <td>(</td>
+          <td class="paramtype">const rapidjson::Document &amp;&#160;</td>
+          <td class="paramname"><em>config_doc</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Parses the file indicated by the "equations" key in <code>config_doc</code> into a vector of <code><a class="el" href="structfea_1_1_equation.html" title="A linear multipoint constraint. ">fea::Equation</a></code>'s.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">config_doc</td><td><code>rapidjson::Document</code>. Document storing the file name containing the prescribed forces. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><a class="el" href="structfea_1_1_equation.html" title="A linear multipoint constraint. ">Equation</a> constraints. <code>std::vector&lt;<a class="el" href="structfea_1_1_equation.html" title="A linear multipoint constraint. ">Equation</a>&gt;</code>. </dd></dl>
+
+<p><div class="dynheader">
+Here is the caller graph for this function:</div>
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+<div class="center"><img src="namespacefea_a231f5a0658f5b9fe97182c405a455d03_icgraph.png" border="0" usemap="#namespacefea_a231f5a0658f5b9fe97182c405a455d03_icgraph" alt=""/></div>
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       </table>
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+</div>
+</div>
+<a class="anchor" id="ad84d1896799e4150617b01d8cce6e699"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void fea::loadEquations </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="namespacefea.html#ab9a3b4734f69bd4a2a883d7b9bab5662">SparseMat</a> &amp;&#160;</td>
+          <td class="paramname"><em>Kg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_f"><span>f</span></a></li>
+      <li><a href="#index_g"><span>g</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_o"><span>o</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li class="current"><a href="#index_s"><span>s</span></a></li>
+    </ul>
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 <div class="contents">
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+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
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+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
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 </li>
+</ul>
+
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
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 </li>
+</ul>
+
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
 <li>GlobalStiffMatrix
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+</ul>
+
+
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 </li>
+<li>loadEquations()
+: <a class="el" href="namespacefea.html#ad84d1896799e4150617b01d8cce6e699">fea</a>
+</li>
 <li>loadForces()
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 </li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
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+</ul>
+
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
 <li>operator&gt;&gt;()
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 </li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
 <li>parseJSONConfig()
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 </li>
+</ul>
+
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
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+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
 <li>solve()
-: <a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">fea</a>
+: <a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">fea</a>
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+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
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new file mode 100644
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deleted file mode 100644
index 2127413..0000000
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+  <div class="headertitle">
+<div class="title">fea::Equation Member List</div>  </div>
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+  <tr><td class="entry"><a class="el" href="structfea_1_1_equation.html#a1b996fd725fe977202ecd15cba6254ef">Equation</a>(const std::vector&lt; Term &gt; &amp;_terms)</td><td class="entry"><a class="el" href="structfea_1_1_equation.html">fea::Equation</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacefea.html">fea</a></li><li class="navelem"><a class="el" href="structfea_1_1_equation.html">Equation</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#nested-classes">Classes</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structfea_1_1_equation-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">fea::Equation Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A linear multipoint constraint.  
+ <a href="structfea_1_1_equation.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="containers_8h_source.html">containers.h</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A single term in the equation constraint.  <a href="structfea_1_1_equation_1_1_term.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a22d1668ad3cefaea597761eebb7c8a24"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation.html#a22d1668ad3cefaea597761eebb7c8a24">Equation</a> ()</td></tr>
+<tr class="separator:a22d1668ad3cefaea597761eebb7c8a24"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1b996fd725fe977202ecd15cba6254ef"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation.html#a1b996fd725fe977202ecd15cba6254ef">Equation</a> (const std::vector&lt; <a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a> &gt; &amp;_terms)</td></tr>
+<tr class="memdesc:a1b996fd725fe977202ecd15cba6254ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a1b996fd725fe977202ecd15cba6254ef">More...</a><br /></td></tr>
+<tr class="separator:a1b996fd725fe977202ecd15cba6254ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a270e2fc1882bbc16abb25e280d51141f"><td class="memItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">terms</a></td></tr>
+<tr class="separator:a270e2fc1882bbc16abb25e280d51141f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>A linear multipoint constraint. </p>
+<p><a class="el" href="structfea_1_1_equation.html" title="A linear multipoint constraint. ">Equation</a> constraints are defined by a series of terms that sum to zero, e.g. <code>t1 + t2 + t3 ... = 0</code>, where <code>tn</code> is the <code>n</code>th term. Each term specifies the node number, degree of freedom and coefficient. The node number and degree of freedom specify which nodal variable (either nodal displacement or rotation) is involved with the equation constraint, and coefficient is multiplied by the specified nodal variable when forming the equation. Note, the equation sums to zero, so in order to specify that 2 nodal degrees of freedom are equal their coefficients should be equal and opposite.</p>
+<div class="fragment"><div class="line"><span class="comment">// Create an empty equation</span></div>
+<div class="line"><a class="code" href="structfea_1_1_equation.html">fea::Equation</a> eqn;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">// Stipulate that the x and y displacement for the first node must be equal</span></div>
+<div class="line"><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> node_number = 0;</div>
+<div class="line">eqn.<a class="code" href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">terms</a>.push_back(<a class="code" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a>(node_number, <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72a0bfcf6fc693c952c376a1d9eb9cf03fb">fea::DOF::DISPLACEMENT_X</a>, 1.0));</div>
+<div class="line">eqn.<a class="code" href="structfea_1_1_equation.html#a270e2fc1882bbc16abb25e280d51141f">terms</a>.push_back(<a class="code" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a>(node_number, <a class="code" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72ad39e7a11a71cac64252cb1fb1d94c7f9">fea::DOF::DISPLACEMENT_Y</a>, -1.0);</div>
+</div><!-- fragment --> </div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a22d1668ad3cefaea597761eebb7c8a24"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">fea::Equation::Equation </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<p>Default constructor </p>
+
+</div>
+</div>
+<a class="anchor" id="a1b996fd725fe977202ecd15cba6254ef"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">fea::Equation::Equation </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>_terms</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">terms.</td><td><code>std::vector&lt;<a class="el" href="structfea_1_1_equation_1_1_term.html" title="A single term in the equation constraint. ">Term</a>&gt;</code>. A list of terms that sum to zero.k </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a270e2fc1882bbc16abb25e280d51141f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a>&gt; fea::Equation::terms</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A list of terms that sum to zero. </p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>include/<a class="el" href="containers_8h_source.html">containers.h</a></li>
+</ul>
+</div><!-- contents -->
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+<div class="title">fea::Equation::Term Member List</div>  </div>
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+
+<p>This is the complete list of members for <a class="el" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html#a8d18a045bd4049d2e2a86a3c37f1cfcf">coefficient</a></td><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html#ad2443b6497c5c01ab544d3422a585225">dof</a></td><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a></td><td class="entry"></td></tr>
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+  <tr><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html#af65c586bef5f968086647aa8028225a9">Term</a>()</td><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html#a24d698ad663bdd48a373c743e4cf079a">Term</a>(unsigned int _node_number, unsigned int _dof, double _coefficient)</td><td class="entry"><a class="el" href="structfea_1_1_equation_1_1_term.html">fea::Equation::Term</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+<li class="navelem"><a class="el" href="namespacefea.html">fea</a></li><li class="navelem"><a class="el" href="structfea_1_1_equation.html">Equation</a></li><li class="navelem"><a class="el" href="structfea_1_1_equation_1_1_term.html">Term</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structfea_1_1_equation_1_1_term-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">fea::Equation::Term Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A single term in the equation constraint.  
+ <a href="structfea_1_1_equation_1_1_term.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="containers_8h_source.html">containers.h</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:af65c586bef5f968086647aa8028225a9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html#af65c586bef5f968086647aa8028225a9">Term</a> ()</td></tr>
+<tr class="separator:af65c586bef5f968086647aa8028225a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a24d698ad663bdd48a373c743e4cf079a"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html#a24d698ad663bdd48a373c743e4cf079a">Term</a> (unsigned int _node_number, unsigned int _dof, double _coefficient)</td></tr>
+<tr class="memdesc:a24d698ad663bdd48a373c743e4cf079a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a24d698ad663bdd48a373c743e4cf079a">More...</a><br /></td></tr>
+<tr class="separator:a24d698ad663bdd48a373c743e4cf079a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:ac8d6123f8418205684e0d32083f822c9"><td class="memItemLeft" align="right" valign="top">unsigned int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html#ac8d6123f8418205684e0d32083f822c9">node_number</a></td></tr>
+<tr class="separator:ac8d6123f8418205684e0d32083f822c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad2443b6497c5c01ab544d3422a585225"><td class="memItemLeft" align="right" valign="top">unsigned int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html#ad2443b6497c5c01ab544d3422a585225">dof</a></td></tr>
+<tr class="separator:ad2443b6497c5c01ab544d3422a585225"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8d18a045bd4049d2e2a86a3c37f1cfcf"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structfea_1_1_equation_1_1_term.html#a8d18a045bd4049d2e2a86a3c37f1cfcf">coefficient</a></td></tr>
+<tr class="separator:a8d18a045bd4049d2e2a86a3c37f1cfcf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>A single term in the equation constraint. </p>
+<p>Each term defines the node number, degree of freedom and coefficient. </p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="af65c586bef5f968086647aa8028225a9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">fea::Equation::Term::Term </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<p>Default constructor </p>
+
+</div>
+</div>
+<a class="anchor" id="a24d698ad663bdd48a373c743e4cf079a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">fea::Equation::Term::Term </td>
+          <td>(</td>
+          <td class="paramtype">unsigned int&#160;</td>
+          <td class="paramname"><em>_node_number</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">unsigned int&#160;</td>
+          <td class="paramname"><em>_dof</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>_coefficient</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">node_number.</td><td><code>unsigned int</code>. Index of the node within the node list. </td></tr>
+    <tr><td class="paramname">dof.</td><td><code>unsigned int</code>. Degree of freedom for the specified node. </td></tr>
+    <tr><td class="paramname">coefficient.</td><td><code>double</code>. coefficient to multiply the corresponding nodal variable by. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a8d18a045bd4049d2e2a86a3c37f1cfcf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double fea::Equation::Term::coefficient</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Coefficient to multiply the nodal variable by. </p>
+
+</div>
+</div>
+<a class="anchor" id="ad2443b6497c5c01ab544d3422a585225"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">unsigned int fea::Equation::Term::dof</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Degree of freedom. </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="namespacefea.html#aeaca75d33e81b79c9282f3e69a238d72" title="Convenience enumerator for specifying the active degree of freedom in a constraint. ">fea::DOF</a> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8d6123f8418205684e0d32083f822c9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">unsigned int fea::Equation::Term::node_number</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Index of the node in the node list. </p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>include/<a class="el" href="containers_8h_source.html">containers.h</a></li>
+</ul>
+</div><!-- contents -->
+<!-- start footer part -->
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+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
+<img class="footer" src="doxygen.png" alt="doxygen"/>
+</a> 1.8.9.1
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-<p>Contains the results of an analysis after calling <code><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code>.  
+<p>Contains the results of an analysis after calling <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code>.  
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 <p><code>#include &lt;<a class="el" href="summary_8h_source.html">summary.h</a>&gt;</code></p>
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 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<div class="textblock"><p>Contains the results of an analysis after calling <code><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code>. </p>
+<div class="textblock"><p>Contains the results of an analysis after calling <code><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991" title="Solves the finite element analysis defined by the input Job, boundary conditions, and prescribed noda...">fea::solve</a></code>. </p>
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 <p>The number of elements in the analysis. </p>
 
+</div>
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+<div class="memitem">
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+        <tr>
+          <td class="memname">unsigned long fea::Summary::num_eqns</td>
+        </tr>
+      </table>
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+<p>The number of equation constraints in the analysis. </p>
+
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-Generated on Mon Nov 9 2015 11:57:00 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
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-</a> 1.8.10
+</a> 1.8.9.1
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-Generated on Mon Nov 9 2015 11:57:00 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
+Generated on Mon Oct 3 2016 22:38:16 for 3D Beam Finite Element Code by &#160;<a href="http://www.doxygen.org/index.html">
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 <div class="textblock"><code>#include &lt;boost/format.hpp&gt;</code><br />
+<code>#include &lt;chrono&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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-<tr class="memdesc:a22c94233f560b36c5e782d6e73cebae3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the distance between 2 nodes.  <a href="namespacefea.html#a22c94233f560b36c5e782d6e73cebae3">More...</a><br /></td></tr>
+<tr class="memdesc:a22c94233f560b36c5e782d6e73cebae3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the distance between 2 nodes.  <a href="#a22c94233f560b36c5e782d6e73cebae3">More...</a><br /></td></tr>
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-<tr class="memdesc:adb99d60a0e4eb10e55a7c52044efb6e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads any tie constraints into the set of triplets that will become the global stiffness matrix.  <a href="namespacefea.html#adb99d60a0e4eb10e55a7c52044efb6e3">More...</a><br /></td></tr>
+<tr class="memdesc:adb99d60a0e4eb10e55a7c52044efb6e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads any tie constraints into the set of triplets that will become the global stiffness matrix.  <a href="#adb99d60a0e4eb10e55a7c52044efb6e3">More...</a><br /></td></tr>
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-<tr class="memdesc:ad101dfa486fc4d0bd848129ff2453139"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the forces in the tie elements based on the nodal displacements of the FE analysis and the spring constants provided in <code>ties</code>.  <a href="namespacefea.html#ad101dfa486fc4d0bd848129ff2453139">More...</a><br /></td></tr>
+<tr class="memdesc:ad101dfa486fc4d0bd848129ff2453139"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the forces in the tie elements based on the nodal displacements of the FE analysis and the spring constants provided in <code>ties</code>.  <a href="#ad101dfa486fc4d0bd848129ff2453139">More...</a><br /></td></tr>
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+<tr class="memdesc:af9e37d32f38ace35944f1e63f4a447fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads the prescribed forces into the force vector.  <a href="#af9e37d32f38ace35944f1e63f4a447fa">More...</a><br /></td></tr>
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-<tr class="memitem:aca9724c7cab58b0671b29f3f4318e599"><td class="memItemLeft" align="right" valign="top">Summary&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">fea::solve</a> (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 Options &amp;options)</td></tr>
-<tr class="memdesc:aca9724c7cab58b0671b29f3f4318e599"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the finite element analysis defined by the input <a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">Job</a>, boundary conditions, and prescribed nodal forces.  <a href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">More...</a><br /></td></tr>
-<tr class="separator:aca9724c7cab58b0671b29f3f4318e599"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a995a678cf119fb20772312ccfdbec991"><td class="memItemLeft" align="right" valign="top">Summary&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacefea.html#a995a678cf119fb20772312ccfdbec991">fea::solve</a> (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)</td></tr>
+<tr class="memdesc:a995a678cf119fb20772312ccfdbec991"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the finite element analysis defined by the input <a class="el" href="structfea_1_1_job.html" title="Contains a node list, element list, and the properties of each element. ">Job</a>, boundary conditions, and prescribed nodal forces.  <a href="#a995a678cf119fb20772312ccfdbec991">More...</a><br /></td></tr>
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+<tr class="memdesc:a22c94233f560b36c5e782d6e73cebae3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the distance between 2 nodes.  <a href="#a22c94233f560b36c5e782d6e73cebae3">More...</a><br /></td></tr>
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+<tr class="memdesc:a9a7fec579a34d0fed8339237f2cfe994"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads the boundary conditions into the global stiffness matrix and force vector.  <a href="#a9a7fec579a34d0fed8339237f2cfe994">More...</a><br /></td></tr>
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+<tr class="memdesc:adb99d60a0e4eb10e55a7c52044efb6e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads any tie constraints into the set of triplets that will become the global stiffness matrix.  <a href="#adb99d60a0e4eb10e55a7c52044efb6e3">More...</a><br /></td></tr>
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+<tr class="memdesc:ad101dfa486fc4d0bd848129ff2453139"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the forces in the tie elements based on the nodal displacements of the FE analysis and the spring constants provided in <code>ties</code>.  <a href="#ad101dfa486fc4d0bd848129ff2453139">More...</a><br /></td></tr>
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+<tr class="memdesc:af9e37d32f38ace35944f1e63f4a447fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Loads the prescribed forces into the force vector.  <a href="#af9e37d32f38ace35944f1e63f4a447fa">More...</a><br /></td></tr>
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-<tr class="separator:aca9724c7cab58b0671b29f3f4318e599"><td class="memSeparator" colspan="2">&#160;</td></tr>
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 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+<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>
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-<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
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-<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            Aelem.setZero();</div>
-<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            AelemT.setZero();</div>
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-<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        LocalMatrix Klocal;</div>
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-<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        LocalMatrix AelemT;</div>
-<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        SparseMat SparseKelem;</div>
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-<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
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-<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
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-<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;                                                       <span class="keyword">const</span> std::vector&lt;std::vector&lt;double&gt; &gt; &amp;nodal_displacements);</div>
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-<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;</div>
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-<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;                  <span class="keyword">const</span> std::vector&lt;Force&gt; &amp;forces,</div>
-<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                  <span class="keyword">const</span> std::vector&lt;Tie&gt; &amp;ties,</div>
-<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;                  <span class="keyword">const</span> Options &amp;options);</div>
-<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;} <span class="comment">// namespace fea</span></div>
-<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
-<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="preprocessor">#endif // THREED_BEAM_FEA_H</span></div>
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+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <span class="keywordflow">return</span> Kelem;</div>
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+<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>
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+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        SparseMat SparseKelem;</div>
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+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div>
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+<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>
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+<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>
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+<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>
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-<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:49</div></div>
-<div class="ttc" id="namespacefea_html_aca9724c7cab58b0671b29f3f4318e599"><div class="ttname"><a href="namespacefea.html#aca9724c7cab58b0671b29f3f4318e599">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 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:378</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:149</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>
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-<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:309</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:81</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:157</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:54</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:368</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:343</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="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:246</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:76</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:226</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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