Question

Strain energy (U) in global co-ordinates can be written as ____

(a) q^’ T k^’q^’

(b) q^’ T k^’

(c) k^’ q^’

(d) \(\frac{1}{2}\) q^’ T k^’q^’

I had been asked this question in homework.

I want to ask this question from Plane Trusses topic in portion Trusses of Finite Element Method

Answer 1

The correct choice is (d) \(\frac{1}{2}\) q^’ T k^’q^’

To elaborate: Strain energy is defined as the energy stored in the body due to deformation. Strain energy per unit volume is known as strain energy density and the area under stress- strain curve towards the point of deformation.