The predominant effect of an axial tensile force on a (close-coiled) helical spring is:
Try it first: pick an option, then read the explanation.
Asked in SSC JE 2012
Detailed Explanation
Cut the spring across one coil. To keep the lower part in equilibrium, the wire section must carry a force W and a moment W·R about the wire's own axis, because the load line (the spring axis) is a distance R away.
Why “Twisting” Is Correct
In a close-coiled spring the helix angle is tiny, so that moment acts almost exactly about the wire axis: it is a torque. The predominant effect is twisting; the direct shear W is small in comparison.
Why the Other Options Are Wrong
- A. Bending: Bending is negligible in a close-coiled spring under axial load (it appears under an axial torque, or in open-coiled springs).
- B. Tension: The wire does not carry axial tension; the force on each section is a shear W.
- C. Compression: There is no axial compression in the wire.
Key Point
Close-coiled spring under axial load → wire in torsion: τ = 16WR/πd³.
Key Concepts for Students
- Spring deflection comes from wire twist.
- Direct shear 4W/πd² is a small correction.
- Wahl's factor adds curvature and direct-shear effects.
Practice more: this is question 3 in Spring MCQs – Part 1. Try the whole set and check every answer instantly.