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\end{pmatrix}
\end{pmatrix}
</math>
</math>
Hier kommt jetzt irgendein Text.


<math>
::<math>
</math
Some Text
 
</math>
==tmp==


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}}
}}


<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><th>Element #1</th></tr>
<tr><td>
<tr><td>
<math>
<math>
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<tr><td>
<tr><td>
<math>
<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>
</math>
</td></tr>
</td></tr>
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<tr><td>
<tr><td>
<math>
<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>
</math>
</td></tr>
</td></tr>
<tr><th>Element #1</th></tr>
<tr><th>Element #4</th></tr>
<tr><td>
<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>
0 & \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) \\
0 & -\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>
</td></tr>
</table>
</table>

Version vom 21. Oktober 2024, 15:01 Uhr


Aufgabenstellung

SOME TEXT


Caption

Gesucht ist "SOME EXPLANATION"


Lösung mit Maxima

Lorem Ipsum ....

(2A2Eη3ℓ00−(2A2Eηℓ02)0A2Eη3ℓ000002A2Eη3ℓ0−(A2Eη4ℓ02)−(3A2Eη4ℓ02)A2Eη6ℓ0−(A2Eη2ℓ02)0A2Eη6ℓ0−(2A2Eηℓ02)−(A2Eη4ℓ02)A2Eη+3ℓ02AE2ℓ03+8A2Eηℓ030−(2A2Eηℓ02)−(A2Eη+3ℓ02AE4ℓ03)3A2Eη−3ℓ02AE4ℓ03A2Eη4ℓ020−(3A2Eη4ℓ02)03A2Eη+ℓ02AE2ℓ03+2AEℓ0−(3A2Eη2ℓ02)3A2Eη−3ℓ02AE4ℓ03−(3A2Eη+ℓ02AE4ℓ03)−(3A2Eη4ℓ02)A2Eη3ℓ0A2Eη6ℓ0−(2A2Eηℓ02)−(3A2Eη2ℓ02)4A2Eη3ℓ0−(A2Eη4ℓ02)3A2Eη4ℓ02A2Eη6ℓ00−(A2Eη2ℓ02)−(A2Eη+3ℓ02AE4ℓ03)3A2Eη−3ℓ02AE4ℓ03−(A2Eη4ℓ02)A2Eη+3ℓ02AE4ℓ03+A2Eηℓ03−(3A2Eη−3ℓ02AE4ℓ03)−(3A2Eη4ℓ02)003A2Eη−3ℓ02AE4ℓ03−(3A2Eη+ℓ02AE4ℓ03)3A2Eη4ℓ02−(3A2Eη−3ℓ02AE4ℓ03)3A2Eη+ℓ02AE4ℓ03+AEℓ03A2Eη4ℓ020A2Eη6ℓ0A2Eη4ℓ02−(3A2Eη4ℓ02)A2Eη6ℓ0−(3A2Eη4ℓ02)3A2Eη4ℓ022A2Eη3ℓ0)⋅(W1,0U1,0Φ1,0W2,0U2,0Φ2,0W3,0U3,0Φ3,0W4,0U4,0Φ4,0)=(00000F00)

Hier kommt jetzt irgendein Text.

SomeText

Title

Text




Element-Steigigkeitsmatrizen mit globalen Koordinaten
Element #1

k1=(8A2Eηℓ0302A2Eηℓ02−(8A2Eηℓ03)02A2Eηℓ0202AEℓ000−(2AEℓ0)02A2Eηℓ0202A2Eη3ℓ0−(2A2Eηℓ02)0A2Eη3ℓ0−(8A2Eηℓ03)0−(2A2Eηℓ02)8A2Eηℓ030−(2A2Eηℓ02)0−(2AEℓ0)002AEℓ002A2Eηℓ020A2Eη3ℓ0−(2A2Eηℓ02)02A2Eη3ℓ0)

Element #2

k2=(A2Eη+3ℓ02AE4ℓ033A2Eη−3ℓ02AE4ℓ03A2Eη4ℓ02−(A2Eη+3ℓ02AE4ℓ03)−(3A2Eη−3ℓ02AE4ℓ03)A2Eη4ℓ023A2Eη−3ℓ02AE4ℓ033A2Eη+ℓ02AE4ℓ033A2Eη4ℓ02−(3A2Eη−3ℓ02AE4ℓ03)−(3A2Eη+ℓ02AE4ℓ03)3A2Eη4ℓ02A2Eη4ℓ023A2Eη4ℓ02A2Eη3ℓ0−(A2Eη4ℓ02)−(3A2Eη4ℓ02)A2Eη6ℓ0−(A2Eη+3ℓ02AE4ℓ03)−(3A2Eη−3ℓ02AE4ℓ03)−(A2Eη4ℓ02)A2Eη+3ℓ02AE4ℓ033A2Eη−3ℓ02AE4ℓ03−(A2Eη4ℓ02)−(3A2Eη−3ℓ02AE4ℓ03)−(3A2Eη+ℓ02AE4ℓ03)−(3A2Eη4ℓ02)3A2Eη−3ℓ02AE4ℓ033A2Eη+ℓ02AE4ℓ03−(3A2Eη4ℓ02)A2Eη4ℓ023A2Eη4ℓ02A2Eη6ℓ0−(A2Eη4ℓ02)−(3A2Eη4ℓ02)A2Eη3ℓ0)

Element #3

k3=(A2Eη+3ℓ02AE4ℓ03−(3A2Eη−3ℓ02AE4ℓ03)A2Eη4ℓ02−(A2Eη+3ℓ02AE4ℓ03)3A2Eη−3ℓ02AE4ℓ03A2Eη4ℓ02−(3A2Eη−3ℓ02AE4ℓ03)3A2Eη+ℓ02AE4ℓ03−(3A2Eη4ℓ02)3A2Eη−3ℓ02AE4ℓ03−(3A2Eη+ℓ02AE4ℓ03)−(3A2Eη4ℓ02)A2Eη4ℓ02−(3A2Eη4ℓ02)A2Eη3ℓ0−(A2Eη4ℓ02)3A2Eη4ℓ02A2Eη6ℓ0−(A2Eη+3ℓ02AE4ℓ03)3A2Eη−3ℓ02AE4ℓ03−(A2Eη4ℓ02)A2Eη+3ℓ02AE4ℓ03−(3A2Eη−3ℓ02AE4ℓ03)−(A2Eη4ℓ02)3A2Eη−3ℓ02AE4ℓ03−(3A2Eη+ℓ02AE4ℓ03)3A2Eη4ℓ02−(3A2Eη−3ℓ02AE4ℓ03)3A2Eη+ℓ02AE4ℓ033A2Eη4ℓ02A2Eη4ℓ02−(3A2Eη4ℓ02)A2Eη6ℓ0−(A2Eη4ℓ02)3A2Eη4ℓ02A2Eη3ℓ0)

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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