Gelöste Aufgaben/StaF: Unterschied zwischen den Versionen

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{\begin{pmatrix}{\frac {2{{A}^{2}}E\eta }{3{\ell _{0}}}}&0&-\left({\frac {2{{A}^{2}}E\eta }{{\ell }_{0}^{2}}}\right)&0&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}&0&0&0\\0&{\frac {2{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{2{{\ell }_{0}^{2}}}}\right)&0&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}\\-\left({\frac {2{{A}^{2}}E\eta }{{\ell }_{0}^{2}}}\right)&-\left({\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta +3{{\ell }_{0}^{2}}AE}{2{{\ell }_{0}^{3}}}}+{\frac {8{{A}^{2}}E\eta }{{\ell }_{0}^{3}}}&0&-\left({\frac {2{{A}^{2}}E\eta }{{\ell }_{0}^{2}}}\right)&-\left({\frac {{{A}^{2}}E\eta +3{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}&{\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\\0&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&0&{\frac {3{{A}^{2}}E\eta +{{\ell }_{0}^{2}}AE}{2{{\ell }_{0}^{3}}}}+{\frac {2AE}{\ell _{0}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{2{{\ell }_{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}&-\left({\frac {3{{A}^{2}}E\eta +{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)\\{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&-\left({\frac {2{{A}^{2}}E\eta }{{\ell }_{0}^{2}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{2{{\ell }_{0}^{2}}}}\right)&{\frac {4{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}\\0&-\left({\frac {{{A}^{2}}E\eta }{2{{\ell }_{0}^{2}}}}\right)&-\left({\frac {{{A}^{2}}E\eta +3{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta +3{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}+{\frac {{{A}^{2}}E\eta }{{\ell }_{0}^{3}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&-\left({\frac {3{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)\\0&0&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}&-\left({\frac {3{{A}^{2}}E\eta +{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}\right)&{\frac {3{{A}^{2}}E\eta +{{\ell }_{0}^{2}}AE}{4{{\ell }_{0}^{3}}}}+{\frac {AE}{\ell _{0}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\\0&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&{\frac {{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&-\left({\frac {3{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{{\ell }_{0}^{2}}}}&{\frac {2{{A}^{2}}E\eta }{3{\ell _{0}}}}\end{pmatrix}}\cdot {\begin{pmatrix}{W_{1,0}}\\{U_{1,0}}\\{{\Phi }_{1,0}}\\{W_{2,0}}\\{U_{2,0}}\\{{\Phi }_{2,0}}\\{W_{3,0}}\\{U_{3,0}}\\{{\Phi }_{3,0}}\\{W_{4,0}}\\{U_{4,0}}\\{{\Phi }_{4,0}}\end{pmatrix}}={\begin{pmatrix}0\\0\\0\\0\\0\\F\\0\\0\end{pmatrix}}

Hier kommt jetzt irgendein Text.

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1+1

Element-Steigigkeitsmatrizen mit globalen Koordinaten
Element #1
${k_{1}}={\begin{pmatrix}{\frac {8{{A}^{2}}E\eta }{\ell _{0}^{3}}}&0&{\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}&-\left({\frac {8{{A}^{2}}E\eta }{\ell _{0}^{3}}}\right)&0&{\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}\\0&{\frac {2AE}{\ell _{0}}}&0&0&-\left({\frac {2AE}{\ell _{0}}}\right)&0\\{\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}&0&{\frac {2{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}\right)&0&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}\\-\left({\frac {8{{A}^{2}}E\eta }{\ell _{0}^{3}}}\right)&0&-\left({\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}\right)&{\frac {8{{A}^{2}}E\eta }{\ell _{0}^{3}}}&0&-\left({\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}\right)\\0&-\left({\frac {2AE}{\ell _{0}}}\right)&0&0&{\frac {2AE}{\ell _{0}}}&0\\{\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}&0&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {2{{A}^{2}}E\eta }{\ell _{0}^{2}}}\right)&0&{\frac {2{{A}^{2}}E\eta }{3{\ell _{0}}}}\end{pmatrix}}$
Element #2
${k_{2}}={\begin{pmatrix}{\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\\{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\\{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}\\-\left({\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)\\-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)\\{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}\end{pmatrix}}$
Element #3
${k_{3}}={\begin{pmatrix}{\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\\-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)\\{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}\\-\left({\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta +3{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)\\{\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&-\left({\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta -{\sqrt {3}}{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}\right)&{\frac {3{{A}^{2}}E\eta +{\ell _{0}^{2}}AE}{4{\ell _{0}^{3}}}}&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\\{\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&-\left({\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{{A}^{2}}E\eta }{6{\ell _{0}}}}&-\left({\frac {{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}\right)&{\frac {{\sqrt {3}}{{A}^{2}}E\eta }{4{\ell _{0}^{2}}}}&{\frac {{{A}^{2}}E\eta }{3{\ell _{0}}}}\end{pmatrix}}$
Element #4
{k_4} = \begin{pmatrix}\frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}} & 0 & \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & -\left( \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}}\right) & 0 & \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\\ 0 & \frac{A E}Vorlage:\ell 0 & 0 & 0 & -\left( \frac{A E}Vorlage:\ell 0\right) & 0\\ \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & 0 & \frac{{{A}^{2}} E \eta }{3 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right) & 0 & \frac{{{A}^{2}} E \eta }{6 {\ell_0}}\\ -\left( \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}}\right) & 0 & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right) & \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}} & 0 & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right) \\ 0 & -\left( \frac{A E}Vorlage:\ell 0\right) & 0 & 0 & \frac{A E}Vorlage:\ell 0 & 0\\ \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & 0 & \frac{{{A}^{2}} E \eta }{6 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right) & 0 & \frac{{{A}^{2}} E \eta }{3 {\ell_0}}\end{pmatrix}

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@@ Zeile 58: / Zeile 58: @@
 \end{pmatrix}
 </math>
+Hier kommt jetzt irgendein Text.
-<math>
+::<math>
-</math
+Some Text
+</math>
-==tmp==
 <!-------------------------------------------------------------------------------->
@@ Zeile 73: / Zeile 73: @@
 }}
-<table class="wikitable mw-collapsible" style="background-color:white; float: none; margin-right:14px;">
+<table class="wikitable mw-collapsible mw-collapsed" style="background-color:white; float: none; margin-right:14px;">
+<tr><th>Element-Steigigkeitsmatrizen mit globalen Koordinaten</th></tr>
 <tr><th>Element #1</th></tr>
 <tr><td>
 <math>
@@ Zeile 89: / Zeile 89: @@
 <tr><td>
 <math>
+{k_2} = \begin{pmatrix}\frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\\
+\frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\\
+\frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{{{A}^{2}} E \eta }{3 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta }{6 {\ell_0}}\\
+-\left( \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right) \\
+-\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right) \\
+\frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{{{A}^{2}} E \eta }{6 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta }{3 {\ell_0}}\end{pmatrix}
 </math>
 </td></tr>
@@ Zeile 94: / Zeile 100: @@
 <tr><td>
 <math>
+{k_3} = \begin{pmatrix}\frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\\
+-\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right) \\
+\frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta }{3 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{{{A}^{2}} E \eta }{6 {\ell_0}}\\
+-\left( \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta +3 {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right) \\
+\frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & -\left( \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta -\sqrt{3} {\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}}\right)  & \frac{3 {{A}^{2}} E \eta +{\ell_{0}^{2}} A E}{4 {\ell_{0}^{3}}} & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\\
+\frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & -\left( \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta }{6 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{4 {\ell_{0}^{2}}}\right)  & \frac{\sqrt{3} {{A}^{2}} E \eta }{4 {\ell_{0}^{2}}} & \frac{{{A}^{2}} E \eta }{3 {\ell_0}}\end{pmatrix}
 </math>
 </td></tr>
-<tr><th>Element #1</th></tr>
+<tr><th>Element #4</th></tr>
 <tr><td>
-<math>
+{k_4} = \begin{pmatrix}\frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}} & 0 & \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & -\left( \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}}\right)  & 0 & \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\\
-</math>
+& \frac{A E}{{\ell_0}} & 0 & 0 & -\left( \frac{A E}{{\ell_0}}\right)  & 0\\
+\frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & 0 & \frac{{{A}^{2}} E \eta }{3 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right)  & 0 & \frac{{{A}^{2}} E \eta }{6 {\ell_0}}\\
+-\left( \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}}\right)  & 0 & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right)  & \frac{{{A}^{2}} E \eta }{{\ell_{0}^{3}}} & 0 & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right) \\
+& -\left( \frac{A E}{{\ell_0}}\right)  & 0 & 0 & \frac{A E}{{\ell_0}} & 0\\
+\frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}} & 0 & \frac{{{A}^{2}} E \eta }{6 {\ell_0}} & -\left( \frac{{{A}^{2}} E \eta }{2 {\ell_{0}^{2}}}\right)  & 0 & \frac{{{A}^{2}} E \eta }{3 {\ell_0}}\end{pmatrix}
 </td></tr>
 </table>

Gelöste Aufgaben/StaF: Unterschied zwischen den Versionen

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