A close-coiled helical compression spring with ‘plain ground’ ends has a mean coil diameter of 90 mm, a spring index of 11.25 and a spring rate of 10 N/mm. The spring is used in a machine to help to control the effects of vibratory forces where the spring carries a maximum static load of 750 N due to the vibration. For the spring material, the maximum allowable shear stress is 160 MN/m 2 and the modulus of rigidity is 83 GN/m2 . i) Determine the wire diameter of the spring. ii) Calculate the number of coils in the spring. iii) Calculate the torsional shear stress acting in the spring material, and hence evaluate the factor of safety for the spring. iv) Calculate the solid length of the spring.
A close-coiled helical compression spring with ‘plain ground’ ends has a mean coil diameter of 90 mm, a spring index of 11.25 and a spring rate of 10 N/mm. The spring is used in a machine to help to control the effects of vibratory forces where the spring carries a maximum static load of 750 N due to the vibration. For the spring material, the maximum allowable shear stress is 160 MN/m 2 and the modulus of rigidity is 83 GN/m2 . i) Determine the wire diameter of the spring. ii) Calculate the number of coils in the spring. iii) Calculate the torsional shear stress acting in the spring material, and hence evaluate the factor of safety for the spring. iv) Calculate the solid length of the spring.
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 close-coiled helical compression spring with ‘plain ground’ ends has a mean
coil diameter of 90 mm, a spring index of 11.25 and a spring rate of 10 N/mm.
The spring is used in a machine to help to control the effects of vibratory forces
where the spring carries a maximum static load of 750 N due to the vibration.
For the spring material, the maximum allowable shear stress is 160 MN/m
2
and
the modulus of rigidity is 83 GN/m2
.
i) Determine the wire diameter of the spring.
ii) Calculate the number of coils in the spring.
iii) Calculate the torsional shear stress acting in the spring material, and
hence evaluate the factor of safety for the spring.
iv) Calculate the solid length of the spring.
Transcribed Image Text:4C -1 0.615
Data: Spring Wahl Factor, K
4С - 4
C
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