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Strength of Material MCQ Set 4

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STRENGTH OF MATERIAL MCQ SET 4

Q1. The torsional equation is given by:

A) T/J = ฯ„/R = Gฮธ/L
B) T/J = ฯ„/L = Gฮธ/R
C) T/J = Gฮธ/RL
D) T = ฯ„J/L

Show Answer

Answer: A) T/J = ฯ„/R = Gฮธ/L
Explanation: This fundamental torsion equation relates torque, stress, and angle of twist.

Q2. The product of moment of inertia and modulus of elasticity is known as:

A) Flexural rigidity
B) Torsional rigidity
C) Shear rigidity
D) Resilience

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Answer: A) Flexural rigidity
Explanation: Flexural rigidity = EI; it represents beam stiffness in bending.

Q3. Shear force at the midpoint of a simply supported beam carrying a uniform load is:

A) Zero
B) Maximum
C) Half of maximum
D) Constant

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Answer: A) Zero
Explanation: Shear force changes sign at the midpoint under uniformly distributed load.

Q4. The area of bending moment diagram represents:

A) Deflection
B) Slope
C) Shear force
D) None of these

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Answer: C) Shear force
Explanation: The rate of change of bending moment equals shear force (dM/dx = V).

Q5. The maximum bending moment for a simply supported beam with central point load is:

A) WL/2
B) WL/4
C) WL/8
D) WL/6

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Answer: B) WL/4
Explanation: Mmax = WL/4 at the center for a single central load.

Q6. Moment of inertia of a rectangle about its base is:

A) bhยณ/3
B) bhยณ/12
C) bhยณ/4
D) bhยณ/2

Show Answer

Answer: A) bhยณ/3
Explanation: Moment of inertia about base = (b ร— hยณ) / 3.

Q7. The strain energy stored per unit volume due to stress is called:

A) Toughness
B) Resilience
C) Hardness
D) Elastic energy

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Answer: B) Resilience
Explanation: Resilience is the energy absorbed within elastic limit per unit volume.

Q8. A beam of uniform strength has:

A) Constant bending moment
B) Constant stress throughout
C) Varying depth to maintain uniform stress
D) Constant cross-section

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Answer: C) Varying depth to maintain uniform stress
Explanation: The section varies to keep stress constant along the beam.

Q9. The point where shear force changes sign is called:

A) Support point
B) Neutral axis
C) Point of contraflexure
D) Point of maximum moment

Show Answer

Answer: C) Point of contraflexure
Explanation: At the point of contraflexure, bending moment changes its nature.

Q10. In a beam, the slope is maximum at:

A) Point of zero bending moment
B) Point of maximum bending moment
C) Support
D) Midpoint

Show Answer

Answer: A) Point of zero bending moment
Explanation: Slope is proportional to bending moment; zero moment gives maximum slope.

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