Structures·MCQ explained

The load on a spring per unit deflection is called:

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

Correct answer: A. stiffness

Asked in SSC JE 24/01/2018 (Evening)

Detailed Explanation

Springs are characterised by how much load produces one unit of deflection.

Why “stiffness” Is Correct

That ratio W/δ is the stiffness (spring constant or rate), in N/mm.

K₁K₂WSeries: 1/K = 1/K₁ + 1/K₂K = K₁K₂/(K₁ + K₂) — same forceK₁K₂WParallel: K = K₁ + K₂same deflection
Springs in series share the same force (deflections add); springs in parallel share the same deflection (stiffnesses add).

Why the Other Options Are Wrong

  • B. proof resilience: Proof resilience is energy at the proof load.
  • C. proof stress: Proof stress is the wire stress at the proof load.
  • D. proof load: Proof load is the greatest load without permanent set.

Key Point

Stiffness k = W/δ; for a close coil k = Gd⁴/(64R³n).

Key Concepts for Students

  • Flexibility = 1/k.
  • Series springs: 1/k adds; parallel: k adds.
  • Stiffness ∝ d⁴ and ∝ 1/(R³n).

Practice more: this is question 9 in Spring MCQs – Part 1. Try the whole set and check every answer instantly.