GATE CE 2017 Set 1 — Question 39
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Structural Engineering → Determinate Structures & Energy Methods → Axial Deformation
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Question
Consider the stepped bar made with a linear elastic material and subjected to an axial load of , as shown in the figure.
Segments 1 and 2 have cross-sectional area of and , Young's modulus of and , and length of and , respectively. The strain energy (in N-mm, up to one decimal place) in the bar due to the axial load is ___________
Correct answer
34.9 to 35.1
Solution
The total strain energy in a stepped bar is the sum of the strain energy in each segment.
Formula: Given:
.The total strain energy is 35.0 N-mm.
Formula: Given:
- Axial load
.The total strain energy is 35.0 N-mm.
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