In transformations, what is the transformation matrix R in the relation F=RQ if the load vector in global coordinates is F and the load vector in element coordinates is Q?

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TuteeHUB · Accepted Answer

$\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \sin \alpha & cos \alpha & 0 & 0 & \0 & 0 & cos \alpha & -sin \alpha & \0 & 0 & sin \alpha & cos \alpha & \& & & & \ddots\end{bmatrix}$

TuteeHUB · Answer

$\begin{bmatrix}cos \alpha & sin \alpha & 0 & 0 & \-sin \alpha & cos \alpha & 0 & 0 & \0 & 0 & cos \alpha & sin \alpha & \0 & 0 & -sin \alpha & cos \alpha & \& & & & \ddots\end{bmatrix}$

TuteeHUB · Answer

$\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \sin \alpha & cos \alpha & 0 & 0 & \0 & 0 & cos \alpha & -sin \alpha & \0 & 0 & sin \alpha & cos \alpha & \& & & & \ddots\end{bmatrix}$

TuteeHUB · Answer

$\begin{bmatrix}cos \alpha & sin \alpha & 0 & 0 & \-sin \alpha & cos \alpha & 0 & 0 & \0 & 0 & cos \alpha & -sin \alpha & \0 & 0 & sin \alpha & cos \alpha & \& & & & \ddots\end{bmatrix}$

TuteeHUB · Answer

$\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \sin \alpha & cos \alpha & 0 & 0 & \0 & 0 & cos \alpha & sin \alpha & \0 & 0 & -sin \alpha & cos \alpha & \& & & & \ddots\end{bmatrix}$

1.	In transformations, what is the transformation matrix R in the relation F=RQ if the load vector in global coordinates is F and the load vector in element coordinates is Q?
A.	\(\begin{bmatrix}cos \alpha & sin \alpha & 0 & 0 & \\-sin \alpha & cos \alpha & 0 & 0 & \\0 & 0 & cos \alpha & sin \alpha & \\0 & 0 & -sin \alpha & cos \alpha & \\& & & & \ddots\end{bmatrix}\)
B.	\(\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \\sin \alpha & cos \alpha & 0 & 0 & \\0 & 0 & cos \alpha & -sin \alpha & \\0 & 0 & sin \alpha & cos \alpha & \\& & & & \ddots\end{bmatrix}\)
C.	\(\begin{bmatrix}cos \alpha & sin \alpha & 0 & 0 & \\-sin \alpha & cos \alpha & 0 & 0 & \\0 & 0 & cos \alpha & -sin \alpha & \\0 & 0 & sin \alpha & cos \alpha & \\& & & & \ddots\end{bmatrix}\)
D.	\(\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \\sin \alpha & cos \alpha & 0 & 0 & \\0 & 0 & cos \alpha & sin \alpha & \\0 & 0 & -sin \alpha & cos \alpha & \\& & & & \ddots\end{bmatrix}\)
Answer» B. \(\begin{bmatrix}cos \alpha & -sin \alpha & 0 & 0 & \\sin \alpha & cos \alpha & 0 & 0 & \\0 & 0 & cos \alpha & -sin \alpha & \\0 & 0 & sin \alpha & cos \alpha & \\& & & & \ddots\end{bmatrix}\)

In transformations, what is the transformation matrix R in the relation F=RQ if the load vector in global coordinates is F and the load vector in element coordinates is Q?

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