Structures·MCQ explained

The strain energy stored in a spring when subjected to the greatest load without being permanently distorted is called:

Try it first: pick an option, then read the explanation.

Correct answer: B. proof resilience

Asked in SSC JE 22/01/2018 (Evening)

Detailed Explanation

Strain energy in a spring is the area under its load–deflection line, ½Wδ.

Why “proof resilience” Is Correct

The energy stored at the proof load is the proof resilience.

Strain εStress σElasticregionslope = EElastic limitUltimate strengthFracturePlastic region
Proof resilience is the energy stored up to the elastic limit — the shaded triangle of the elastic range.
TermMeaning
Stiffness kLoad per unit deflection, k = W/δ
Proof loadGreatest load the spring can carry without permanent distortion
Proof stressMaximum stress in the wire at the proof load
Proof resilienceStrain energy stored at the proof load, U = ½Wδ

Why the Other Options Are Wrong

  • A. stiffness: Stiffness is W/δ.
  • C. proof stress: Proof stress is a stress, not an energy.
  • D. proof load: Proof load is a load, not an energy.

Key Point

Proof resilience = ½ × proof load × deflection at proof load.

Key Concepts for Students

  • For a close coil, U = (τ²/4G) × wire volume.
  • Springs are designed to store energy.
  • Modulus of resilience = σ²/2E per unit volume.

Practice more: this is question 11 in Spring MCQs – Part 1. Try the whole set and check every answer instantly.