Find the strain components $\epsilon_n, \epsilon_t$, and $\gamma_{n t}$ at the point if the $n t$-axes are rotated with respect to the $x y$-axes by the amount and in the direction indicated by the angle $ heta$ shown in figure.

Question

Find the strain components $\epsilon_n, \epsilon_t$, and $\gamma_{n t}$ at the point if the $n t$-axes are rotated with respect to the $x y$-axes by the amount and in the direction indicated by the angle $	heta$ shown in figure.

Quizlet Admin · Accepted Answer

Given values:

$$\begin{align*}
\epsilon_x&=-800	ext{ $\mu$in./in.}\
\epsilon_y&=640	ext{ $\mu$in./in.}\
\gamma_{xy}&=-960	ext{ $\mu$rad}\
	heta_n&=42\degree\
	heta_t&=	heta_n+90\degree=132\degree
\end{align*}$$

The sketch:

!['slader'](https://slader-solution-uploads.s3.amazonaws.com/1870ed79-87b4-47c3-97be-395681f6a8b8-1646908012083744.png)

We have to determine:

$$\begin{align*}
\epsilon_{n}=?\
\epsilon_{t}=?\
\gamma_{nt}=?
\end{align*}$$

Find the strain components $\epsilon_n, \epsilon_t$ , and $\gamma_{n t}$ at the point if the $n t$ -axes are rotated with respect to the $x y$ -axes by the amount and in the direction indicated by the angle $\theta$ shown in figure.

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Find the strain components ϵn,ϵt\epsilon_n, \epsilon_tϵn​,ϵt​, and γnt\gamma_{n t}γnt​ at the point if the ntn tnt-axes are rotated with respect to the xyx yxy-axes by the amount and in the direction indicated by the angle θ\thetaθ shown in figure.

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Related questions

Find the strain components $\epsilon_n, \epsilon_t$ , and $\gamma_{n t}$ at the point if the $n t$ -axes are rotated with respect to the $x y$ -axes by the amount and in the direction indicated by the angle $\theta$ shown in figure.