Two equal and op po site forces each Fact on a rod of uniform cross-sectional area a as shown in the figure.…

Two equal and op po site forces each Fact on a rod of uniform cross-sectional area a as shown in the figure. Shearing stress on the section AB will be

1. $\frac{F \sin \theta \cos \theta}{a}$
2. $\frac{F \sin \theta}{a}$
3. $\frac{F \cos \theta}{a}$
4. $\frac{F \sin ^2 \theta}{a}$

Solution

Shearing stress $ \begin{aligned} & =-\frac{F \sin \theta}{a_x} \\ & =-\frac{F}{a} \sin \theta \cos \theta \end{aligned} $ Magnitude of shearing stress $ =\frac{F}{a} \sin \theta \cos \theta $

Asked in: AP EAMCET 2018 (22 Apr Shift 1)

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