A helical spring is provided with a rigid plate at each end.A bolt passes through the spring and the endplates. 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 each plate is 25mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire ( E = 200 GPa and G = 80 GPa )
A helical spring is provided with a rigid plate at each end.A bolt passes through the spring and the endplates. 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 each plate is 25mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire ( E = 200 GPa and G = 80 GPa )
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A helical spring is provided with a rigid plate at each end.A bolt passes through the spring and the endplates. 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 each plate is 25mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire ( E = 200 GPa and G = 80 GPa )
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Step 1: Write the given data and what is to find
VIEWStep 2: Calculate the deflection in the spring and the axial load carried by the spring:
VIEWStep 3: (a) Determine the elongation of the bolt when the spring is fully compressed:
VIEWStep 4: (b) Calculate the stress in the spring wire:
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