A cantilever beam 6 m long carries a point load of 25 kN at free end.

E = 2 × 10⁵ N/mm²

I = 4.5 × 10⁸ mm⁴

Then maximum slope will be :

Question

Question

This question was previously asked in

UKPSC JE Civil 8 May 2022 Official Paper-I

Answer 1

Explanation:

For the given cantilever beam, the Lnegth, L = 6 m = 6000 mm, Load, P = 25 kN = 23 × 10³ N, E = 2 × 10⁵ N/mm² and I = 4.5 × 10⁸ mm⁴

5f807d5c115af0d5125c8fad 16371559431251

The slope at the free end due to load on midspan = θ

θ = \(\frac{1}{2}× \frac{PL^2 }{EI}\)

= \(\frac{1}{2}× \frac{25 \times 10^3 \times 6000^2 }{ 2 \times 10^5 \times 4.5 \times 10^8}\) = 0.0046 = 0.005 radian