Strain Energy due to Gradually Applied Load and Shear Stress
What is the r...
Question
What is the ratio of the strain energy in bar X to that in bar Y when the material of the two bars is the same? The cross-sectional areas are as indicated over the indicated lengths.
A
1/3
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B
2/3
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C
4/3
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D
1/6
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Solution
The correct option is B2/3 Strain energy in bar X, Ux=P2L2AE
Strain energy in bar Y, UY=P2(L/2)2(A2)E+P2(L/2)2AE=34P2LAE ∴UxUy=P2L2AE3P2L4AE=23