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

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 2

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

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 1Ã106 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 material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses Ï1 and Ï2 at a point in two dimensional stress system. The strain energy per unit volume of the material is __________

A. (Ï12 + Ï22 - 2Ï1Ï2 ) / 2E

B. (Ï12 + Ï22 + 2Ï1Ï2 ) / 2E

C. (Ï12 - Ï22 - 2Ï1Ï2 ) / 2E

D. (Ï12 - Ï22 - 2Ï1Ï2 ) / 2E

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 = 2Ã105 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 = 2Ã105 N/mm2?

A. 1.1mm

B. 1.24mm

C. 2mm

D. 1.19mm

Question 7

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 8

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 9

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 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

Question 11

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 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

Question 13

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 14

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 15

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 16

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 17

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

A. ÏE/V

B. ÏE2/V

C. ÏV2/E

D. ÏV2/2E

Question 18

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

A. Ï2/E x (1+ v)

B. Ï2/E x (1+ v)

C. Ï2/2E x (1+ v)

D. Ï2/E x (2+ v)