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A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen? (Take E = 200 GPa)
  • a)
    0.75 N-m
  • b)
    1.00 N-m
  • c)
    1.50 N-m
  • d)
    3.00 N-m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over...
Strain Energy stored in the specimen
=
=
= 0.75 N-m
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A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over...
Given:
Cross-sectional area (A) = 150 mm^2
Gauge length (l) = 50 mm
Change in length (Δl) = 0.05 mm
Axial load (P) = 30 kN
Young's modulus (E) = 200 GPa

We can calculate the strain (ε) using the formula:
ε = Δl / l

Substituting the given values, we get:
ε = 0.05 mm / 50 mm = 0.001

We can then calculate the stress (σ) using the formula:
σ = P / A

Substituting the given values, we get:
σ = 30 kN / 150 mm^2 = 200 MPa

The strain energy stored (U) can be calculated using the formula:
U = (1/2) * σ * ε * A * l

Substituting the given values, we get:
U = (1/2) * 200 MPa * 0.001 * 150 mm^2 * 50 mm
U = 0.75 N-m

Therefore, the strain energy stored in the specimen is 0.75 N-m.
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A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen? (Take E = 200 GPa)a) 0.75 N-mb) 1.00 N-mc) 1.50 N-md) 3.00 N-mCorrect answer is option 'A'. Can you explain this answer?
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A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen? (Take E = 200 GPa)a) 0.75 N-mb) 1.00 N-mc) 1.50 N-md) 3.00 N-mCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen? (Take E = 200 GPa)a) 0.75 N-mb) 1.00 N-mc) 1.50 N-md) 3.00 N-mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel specimen 150 mm2 in cross-section stretches by 0 · 05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen? (Take E = 200 GPa)a) 0.75 N-mb) 1.00 N-mc) 1.50 N-md) 3.00 N-mCorrect answer is option 'A'. Can you explain this answer?.
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