Explain ELASTIC STRAIN ENERGY FOR VARIOUS TYPES OF LOADING?

The energy stored in a body up to elastic limit under certain loading is called the elastic strain energy. It is also represented by load deflection curve up to the elastic limit.

Elastic strain energy in different loading components:

1.Uniform bar with axial loading:

Consider a bar with axial loading P. When load is acting on the bar its deflected.

The extension of this bar is given by

The strain energy stored in the bar up to the elastic limit is given by

From equation (1) and (2)

This is the value of elastic strain energy stored in the bar.