Question

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

Solution

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Answered 10 months ago
Answered 10 months ago
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Given values:

ϵx=800 μin./in.ϵy=640 μin./in.γxy=960 μradθn=42°θt=θn+90°=132°\begin{align*} \epsilon_x&=-800\text{ $\mu$in./in.}\\ \epsilon_y&=640\text{ $\mu$in./in.}\\ \gamma_{xy}&=-960\text{ $\mu$rad}\\ \theta_n&=42\degree\\ \theta_t&=\theta_n+90\degree=132\degree \end{align*}

The sketch:

'slader'

We have to determine:

ϵn=?ϵt=?γnt=?\begin{align*} \epsilon_{n}=?\\ \epsilon_{t}=?\\ \gamma_{nt}=? \end{align*}

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