Explain ELASTIC STRAIN ENERGY FOR VARIOUS TYPES OF LOADING?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Explain ELASTIC STRAIN ENERGY FOR VARIOUS TYPES OF LOADING?

Expert Solution
Step 1

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.

Step 2

Elastic strain energy in different loading components:

1.Uniform bar with axial loading:

Mechanical Engineering homework question answer, step 2, image 1

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

The extension of this bar is given by

Mechanical Engineering homework question answer, step 2, image 2

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

Mechanical Engineering homework question answer, step 2, image 3

From equation (1) and (2)

Mechanical Engineering homework question answer, step 2, image 4

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

 

 

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