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Figure $1$: A square bar of length is pinned at one end and rests on a circular rod.

$[$Problem adapted from $(0)$ Kurt Gramoll CC BY NC$-$SA $4\mathrm{.}0]$

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Problem Statement

A square bar of length $L_1=10\mathrm{.}5in.$ and $L_2=14\mathrm{.}7in.$ is pinned at one end and rests on a circular rod of diameter $d=0\mathrm{.}5in.$ A force $F=90lb$ is applied at the free end. What is the average shear stress in the circular rod?

Your Answer in units of psi