Temp: Difference between revisions

From StructuralWiki
Jump to navigation Jump to search
No edit summary
m (Text replacement - "</tex>" to "</math>")
 
(3 intermediate revisions by the same user not shown)
Line 13: Line 13:


== LaTeX Equation Array ==
== LaTeX Equation Array ==
<tex>
<math>
\begin{eqnarray}
\begin{eqnarray}
\nonumber T & = & \int_{A}r(\tau{dA})=
\nonumber T & = & \int_{A}r(\tau{dA})=
\int_{A}r\left(\frac{r}{R}\tau_{max}\right)dA \\
\int_{A}r\left(\frac{r}{R}\tau_{max}\right)dA \\
\nonumber & = & \frac{\tau_{max}}{R}\int_{A}r^{2}dA =
\nonumber & = & \frac{\tau_{max}}{R}\int_{A}r^{2}dA =
\frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{2}r{dr}{d\phi}
\frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{2}r{dr}{d\phi} =
=
\frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{3}{dr}{d\phi} \\
\frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{3}{dr}{d\phi} \\
\nonumber & = &
\nonumber & = &
Line 29: Line 28:
\frac{\tau_{max}}{R}\times{J}
\frac{\tau_{max}}{R}\times{J}
\end{eqnarray}
\end{eqnarray}
 
</math>
</tex>
 
 
 
[[Category:Software/Calculi]]

Latest revision as of 03:32, 22 October 2024

x > y

x > x > y


LaTeX Equation Array

Failed to parse (unknown function "\begin{eqnarray}"): {\displaystyle \begin{eqnarray} \nonumber T & = & \int_{A}r(\tau{dA})= \int_{A}r\left(\frac{r}{R}\tau_{max}\right)dA \\ \nonumber & = & \frac{\tau_{max}}{R}\int_{A}r^{2}dA = \frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{2}r{dr}{d\phi} = \frac{\tau_{max}}{R}\int_{0}^{2\pi}\!\int_{0}^{R}r^{3}{dr}{d\phi} \\ \nonumber & = & \frac{\tau_{max}}{R}\int_{0}^{2\pi}\left[\frac{r^4}{4}\right]_{r=0}^{r=R}{d\phi} = \frac{\tau_{max}}{R}\int_{0}^{2\pi}\frac{R^4}{4}{d\phi} \\ \nonumber & = & \frac{\tau_{max}}{R}\left[\frac{R^4}{4}\phi\right]_{\phi=0}^{\phi=2\pi} = \frac{\tau_{max}}{R}\times\frac{\pi{R}^4}{2} = \frac{\tau_{max}}{R}\times{J} \end{eqnarray} }