Using strain energy method, the vertical deflection at O is (take modulus of elasticity, E = 2 × 10⁵ N/mm², cross-sectional area of wire, A = 100 mm²).

Question

Question

This question was previously asked in

MPPSC AE CE 2016 Official Paper - II

Attempt in App

Answer 1

Concept:

The strain energy stored in truss,

U = U_OA + U_OB

The deflection at O will be,

Calculation:

At joint O

ΣF_x = 0, F_OA = F_OB..............(i)

ΣF_y = 0, F_OA× cosθ + F_OB × cosθ = P ..........(ii)

2F_OA × cosθ = P

Here, cosθ = 3/4.24 and P = 10 kN

The strain energy stored in truss,

U = UOA + U_OB

⇒

The deflection at O will be,