A composite spring has two steel springs connected in series. One of the springs has a mean coil diameter of 40 mm and a wire diameter of 5 mm, and has 11 coils. The other spring has a wire diameter of 3 mm and 18 coils. If the strain energy stored in the first spring must equal that stored in the second spring if the compound spring is subjected to any load and the maximum allowable stress is 150 MPa, calculate (a) the mean coil diameter of the second spring; (b) the greatest load that can be carried; (c) the energy stored; (d) the stiffness of the composite spring; and (e) the deflection of the composite spring when subjected to the greatest load (G = 82 GPa).

A composite spring has two steel springs connected in series. One of the springs has a mean coil diameter of 40 mm and a wire diameter of 5 mm, and has 11 coils. The other spring has a wire diameter of 3 mm and 18 coils. If the strain energy stored in the first spring must equal that stored in the second spring if the compound spring is subjected to any load and the maximum allowable stress is 150 MPa, calculate (a) the mean coil diameter of the second spring; (b) the greatest load that can be carried; (c) the energy stored; (d) the stiffness of the composite spring; and (e) the deflection of the composite spring when subjected to the greatest load (G = 82 GPa).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.9.10P: A thin-walled hollow tube AB of conical shape has constant thickness I and average diameters dAand...

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