# Strain Energy Definition MCQ Questions & Answers

Strain Energy Definition MCQs : This section focuses on the "Strain Energy Definition". These Multiple Choice Questions (MCQs) should be practiced to improve the Strain Energy Definition skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

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

Question 2

A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses Ï1 and Ï2 at a point in two dimensional stress system. The strain energy per unit volume of the material is __________

A. (Ï12 + Ï22 - 2Ï1Ï2 ) / 2E
B. (Ï12 + Ï22 + 2Ï1Ï2 ) / 2E
C. (Ï12 - Ï22 - 2Ï1Ï2 ) / 2E
D. (Ï12 - Ï22 - 2Ï1Ï2 ) / 2E

Question 3

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 1Ã106 kg/cm2, the strain energy will be __________

A. 125 kg-cm
B. 1000 kg-cm
C. 500 kg-cm
D. 100 kg-cm

Question 4

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

Question 5

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 = 2Ã105 N/mm2)?

A. d143.23 N-m
B. 140.51 N-m
C. 135.145 N-m
D. 197.214 N-m

Question 6

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 = 2Ã105 N/mm2?

A. 1.1mm
B. 1.24mm
C. 2mm
D. 1.19mm

Question 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

Question 8

In a material of pure shear stress Ïthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be:

A. Ï2/E x (1+ v)
B. Ï2/E x (1+ v)
C. Ï2/2E x (1+ v)
D. Ï2/E x (2+ v)

Question 9

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

Question 10

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

Question 11

What is the strain energy stored in a body due to gradually applied load?

A. ÏE/V
B. ÏE2/V
C. ÏV2/E
D. ÏV2/2E

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

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)

Question 17

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