GATE ME 2025 Set 1 — Question 58
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Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain
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Question
An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the figure given below. The strain energy density is ________ (rounded off to 2 decimal places).
Correct answer
1 to 1.1
Solution
The strain energy density is the area under the stress-strain curve. The curve is bi-linear with two segments:
Total Area =
Total Area =
Total Area = .Thus, the strain energy density is .
1.From to
2.From to
Total Area = Area of Triangle + Area of TrapezoidTotal Area =
Total Area =
Total Area = .Thus, the strain energy density is .
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