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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
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:
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.
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