Two equal and opposite forces `F` and `-F` act on a rod of unifrom cross-sectional ara `A`, as shown in the figure. Find the (i) shearing (ii) longitual stress on the section `AB`.

Options

A. `(F sin x cos x)/(A)`
B. `(F sin x)/(A)`
C. `(F cos x)/(A)`
D. `(F sin^(2) x)/(A)`

Answer

A

Explanation

stress `= (F_(tan theta))/(A) = (F^(1) cos theta)/(A^(1)) = (A sin theta cos theta)/(A)`