Question

A horizontal cantilever beam of circular cross-section length = 1 m and flexural rigidity $EI=200N{m}^2$ is subjected to an applied moment $M_A$ = 1.0 Nm at the free end as shown in the figure. The magnitude of vertical deflection of the free end is ______ mm.(round off to one decimal place)

• A. 2.5

Answer 1

The correct option is A 2.5
$Y_{max}=\frac{M{L}^2}{2EI}=\frac{1\times {10}^3\times {10}^6}{2\times 200\times {10}^6}=2.5mm$