Strength of Material MCQ Set 9

STRENGTH OF MATERIAL MCQ SET 9

Q1. Rankine’s formula combines the effect of:

A) Bending and torsion
B) Direct stress and bending
C) Crushing and buckling
D) Shear and torsion

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Answer: C) Crushing and buckling
Explanation: Rankine’s formula is a semi-empirical relation covering both short and long column failures.

Q2. The unit of strain energy is:

A) N/m
B) N/m²
C) Joule
D) N

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Answer: C) Joule
Explanation: Strain energy is a form of energy stored, hence measured in Joules.

Q3. Strain energy per unit volume is called:

A) Resilience
B) Elasticity
C) Modulus
D) Stiffness

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Answer: A) Resilience
Explanation: Resilience = energy stored per unit volume within elastic limit.

Q4. Modulus of resilience is numerically equal to:

A) σ²/2E
B) σ/E
C) σ²/E
D) 2E/σ²

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Answer: A) σ²/2E
Explanation: The area under the linear portion of stress-strain curve gives modulus of resilience.

Q5. The energy stored due to bending in a beam is called:

A) Strain energy
B) Bending energy
C) Torsional energy
D) Deflection energy

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Answer: A) Strain energy
Explanation: Bending induces strain energy due to bending stress distribution.

Q6. Thermal stress occurs when:

A) Body is free to expand
B) Body is restrained from expansion
C) Temperature is constant
D) None

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Answer: B) Body is restrained from expansion
Explanation: When expansion is restricted, temperature change induces internal stresses.

Q7. The formula for thermal stress is:

A) σ = EαΔT
B) σ = αΔT/E
C) σ = E/αΔT
D) σ = αE/ΔT

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Answer: A) σ = EαΔT
Explanation: Thermal stress = modulus × coefficient of expansion × temperature change.

Q8. A composite bar means:

A) Same material
B) Different materials joined together
C) Same cross-section
D) Equal stresses

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Answer: B) Different materials joined together
Explanation: Composite bars consist of dissimilar materials rigidly connected to act together.

Q9. In a composite bar under temperature change, the stress depends on:

A) α and E of both materials
B) Only α
C) Only E
D) None

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Answer: A) α and E of both materials
Explanation: Both modulus and thermal expansion coefficient affect the induced stresses.

Q10. The shear stress on a plane parallel to principal plane is:

A) Maximum
B) Minimum
C) Zero
D) Infinite

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Answer: C) Zero
Explanation: Shear stress on principal planes is always zero.