A helical spring is provided with a rigid plate at each end. A bolt passes through the spring and the end plates. By turning the nut, the spring is compressed until the coils touch. The height of the unloaded spring is 600 mm, its mean coil diameter is 100 mm and the diameter of the spring wire is 28 mm. The spring has 18 coils. The diameter of the bolt is 25 mm and the plates are each 25 mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire (take E = 200 GPa and G = 80 GPa).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.2P: Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the...
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A helical spring is provided with a rigid plate at each end. A bolt passes through the spring and the end plates. By turning the nut, the spring is compressed until the coils touch. The height of the unloaded spring is 600 mm, its mean coil diameter is 100 mm and the diameter of the spring wire is 28 mm. The spring has 18 coils. The diameter of the bolt is 25 mm and the plates are each 25 mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire (take E = 200 GPa and G = 80 GPa).
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