Question

In the cantilever beam PQR shown in figure below, the segment PQ has flexural rigidity EI and the segment QR has infinite flexural rigidity.

The deflection of the beam at ${}^{\prime }{R}^{\prime }$ is

• A. $\frac{8W{L}^3}{EI}$
• B. $\frac{5W{L}^3}{6EI}$
• C. $\frac{7W{L}^3}{3EI}$
• D. $\frac{8W{L}^3}{6EI}$

Answer 1

The correct option is C $\frac{7W{L}^3}{3EI}$



From deflected shape

$DeflectionatR,\Delta =$ $DeflectionatQ+\theta \times L$

$=\frac{5W{L}^3}{6EI}+\frac{3}{2}\frac{W{L}^2}{EI}\times L$

$=\frac{7}{3}\frac{W{L}^3}{EI}$