Theory of Structures - Engineering

Q1:

The total strain energy of a beam of length L, having moment of inertia of its section I, when subjected to a bending moment M, is

A

B

C

D

ANS:C -

The strain energy of a beam due to bending (Ub) having length L and moment of inertia of its section I, when subjected to a bending moment M is given by,

Related Points:

The strain energy of a beam due to axial loading (Ua) having length L and cross-sectional area A, when subjected to an axial load P is given by,

The strain energy of a beam due to torsion (Ut) having length L and polar moment of inertia of its section J, when subjected to a torque T is given by,

Where E is the modulus of elasticity and G is the modulus of rigidity.