Question

The deflection at the free end of a uniformly loaded cantilever of langth 1m is 7.5 mm. What is the slope at the free end ?

• A. 0.01 radian
• B. 0.015 radian
• C. 0.02 radian
• D. 0.025 radian

Answer 1

The correct option is A 0.01 radian

(a) For uniformly loaded cantilever,

$\Delta =\frac{w{L}^4}{8EI}and\theta =\frac{w{L}^3}{6EI}$

$\therefore \theta =\frac{8\Delta }{6L}=\frac{4\Delta }{3L}=\frac{4\times 7.5}{1000\times 3}=0.01radian$