Strength of Materials Questions and Answers – Definition of Strain Energy

This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Definition of Strain Energy”.

1. What is the strain energy stored in a body due to gradually applied load?
a) σE/V
b) σE²/V
c) σV²/E
d) σV²/2E
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2. Strain energy stored in a body to uniform stress s of volume V and modulus of elasticity E is __________
a) s²V/2E
b) sV/E
c) sV²/E
d) sV/2E
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3. In a material of pure shear stress τthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be:
a) τ²/E x (1+ v)
b) τ²/E x (1+ v)
c) τ²/2E x (1+ v)
d) τ²/E x (2+ v)
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4. PL³/3EI is the deflection under the load P of a cantilever beam. What will be the strain energy?
a) P²L³/3EI
b) P²L³/6EI
c) P²L³/4EI
d) P²L³/24EI
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5. A rectangular block of size 400mm x 50mm x 50mm is subjected to a shear stress of 500kg/cm². If the modulus of rigidity of the material is 1×10⁶ kg/cm², the strain energy will be __________
a) 125 kg-cm
b) 1000 kg-cm
c) 500 kg-cm
d) 100 kg-cm
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6. A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ₁ and σ₂ at a point in two dimensional stress system. The strain energy per unit volume of the material is __________
a) (σ₁² + σ₂² – 2σ₁σ₂ ) / 2E
b) (σ₁² + σ₂² + 2σ₁σ₂ ) / 2E
c) (σ₁² – σ₂² – 2σ₁σ₂ ) / 2E
d) (σ₁² – σ₂² – 2σ₁σ₂ ) / 2E
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7. If forces P, P and P of a system are such that the force polygon does not close, then the system will __________
a) Be in equilibrium
b) Reduce to a resultant force
c) Reduce to a couple
d) Not be in equilibrium
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8. The strain energy in a member is proportional to __________
a) Product of stress and the strain
b) Total strain multiplied by the volume of the member
c) The maximum strain multiplied by the length of the member
d) Product of strain and Young’s modulus of the material
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9. A bar of cross-section A and length L is subjected to an axial load W. the strain energy stored in the bar would be __________
a) WL / AE
b) W²L / 4AE
c) W²L / 2AE
d) WL / 4AE
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10. A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. What is the stretch in the rod if E = 2×10⁵ N/mm²?
a) 1.1mm
b) 1.24mm
c) 2mm
d) 1.19mm
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11. A tensile load of 50kN is gradually applied to a circular bar of 5cm diameter and 5m long. What is the strain energy absorbed by the rod (E = 200GPa)?
a) 14 N-m
b) 15.9 N-mm
c) 15.9 N-m
d) 14 N-mm
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12. A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. What is the strain energy in the rod if the load is applied suddenly (E = 2×10⁵ N/mm²)?
a) d143.23 N-m
b) 140.51 N-m
c) 135.145 N-m
d) 197.214 N-m
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Sanfoundry Global Education & Learning Series – Strength of Materials.

To practice all areas of Strength of Materials, here is complete set of 1000+ Multiple Choice Questions and Answers.