Strain Energy And Resilience(Mechanics Of Materials ) Questions and Answers

Question 1. A weight of 10kN falls by 30mm on a collar rigidly attached to a vertical bar 4m long and 1000mm² in section. What will be the instantaneous stress (E=210GPa)?
  1.    149.4 N/mm²
  2.    179.24 N/mm²
  3.    187.7 N/mm²
  4.    156.1 N/mm²
Explanation:-
Answer: Option C. -> 187.7 N/mm²
Answer: (c).187.7 N/mm²
Question 2. A load of 100N falls through a height of 2cm onto a collar rigidly attached to the lower end of a vertical bar 1.5m long and of 105cm² cross- sectional area. The upper end of the vertical bar is fixed. What is the maximum instantaneous elongation in the vertical bar if E = 200GPa?
  1.    0.245mm
  2.    0.324mm
  3.    0.452mm
  4.    0.623mm
Explanation:-
Answer: Option C. -> 0.452mm
Answer: (c).0.452mm
Question 3. A load of 100N falls through a height of 2cm onto a collar rigidly attached to the lower end of a vertical bar 1.5m long and of 105cm² cross- sectional area. The upper end of the vertical bar is fixed. What is the strain energy stored in the vertical bar if E = 200GPa?
  1.    2.045 N-m
  2.    3.14 N-m
  3.    9.4 N-mm
  4.    2.14 N-m
Explanation:-
Answer: Option A. -> 2.045 N-m
Answer: (a).2.045 N-m
Question 4. A load of 100N falls through a height of 2cm onto a collar rigidly attached to the lower end of a vertical bar 1.5m long and of 105cm² cross- sectional area. The upper end of the vertical bar is fixed. What is the maximum instantaneous stress induced in the vertical bar if E = 200GPa?
  1.    50.87 N/mm²
  2.    60.23 N/mm²
  3.    45.24 N/mm²
  4.    63.14 N/mm²
Explanation:-
Answer: Option B. -> 60.23 N/mm²
Answer: (b).60.23 N/mm²
Question 5. A weight of 10kN falls by 30mm on a collar rigidly attached to a vertical bar 4m long and 1000mm² in section. What will be the strain (E=210GPa)?
  1.    0.00089
  2.    0.0005
  3.    0.00064
  4.    0.00098
Explanation:-
Answer: Option A. -> 0.00089
Answer: (a).0.00089
Question 6. What is the modulus of resilience?
  1.    The ratio of resilience to volume
  2.    The ratio of proof resilience to the modulus of elasticity
  3.    The ratio of proof resilience to the strain energy
  4.    The ratio of proof resilience to volume
Explanation:-
Answer: Option D. -> The ratio of proof resilience to volume
Answer: (d).The ratio of proof resilience to volume
Question 7. The mathematical expression for resilience ‘U’ is __________
  1.    U = σ²/E x volume
  2.    U = σ²/3E x volume
  3.    U = σ²/2E x volume
  4.    U = σ/2E x volume
Explanation:-
Answer: Option C. -> U = σ²/2E x volume
Answer: (c).U = σ²/2E x volume
Question 8. A steel has its yield strength of 200N/mm² and modulus of elasticity of 1x10⁵MPa. Assuming the material to obey hookes law up to yielding, what will be its proof resilience?
  1.    0.8 N/mm²
  2.    0.4 N/mm²
  3.    0.2 N/mm²
  4.    0.6 N/mm²
Explanation:-
Answer: Option C. -> 0.2 N/mm²
Answer: (c).0.2 N/mm²
Question 9. The property by which an amount of energy is absorbed by material without plastic deformation is called __________
  1.    Toughness
  2.    Impact strength
  3.    Ductility
  4.    Resilience
Explanation:-
Answer: Option D. -> Resilience
Answer: (d).Resilience
Question 10. Resilience of a material plays important role in which of the following?
  1.    Thermal stress
  2.    Shock loading
  3.    Fatigue
  4.    Pure static loading
Explanation:-
Answer: Option B. -> Shock loading
Answer: (b).Shock loading
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