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

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

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Question

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).

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