A close-coiled helical spring has stiffness of 10 N/mm. Its length when fully compressed with adjacent coils touching each other is 400 mm. The modulus of rigidity of material of the spring = 80000 N/mm². (i) Determine the wire diameter and mean coil diameter, if their ratio is 1/10. (ii) If the gap between any two adjacent coils is 2 mm, what maximum load can be applied before the spring becomes solid i.e. adjacent coils touch. (iii) What is the corresponding maximum shear stress in the spring?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A close-coiled helical spring has stiffness of 10
N/mm. Its length when fully compressed with
adjacent coils touching each other is 400 mm. The
modulus of rigidity of material of the spring =
80000 N/mm².
(i) Determine the wire diameter and mean coil
diameter, if their ratio is 1/10.
(ii) If the gap between any two adjacent coils is 2
mm, what maximum load can be applied before
the spring becomes solid i.e. adjacent coils touch.
(iii)
What is the corresponding maximum shear
stress in the spring?
Transcribed Image Text:A close-coiled helical spring has stiffness of 10 N/mm. Its length when fully compressed with adjacent coils touching each other is 400 mm. The modulus of rigidity of material of the spring = 80000 N/mm². (i) Determine the wire diameter and mean coil diameter, if their ratio is 1/10. (ii) If the gap between any two adjacent coils is 2 mm, what maximum load can be applied before the spring becomes solid i.e. adjacent coils touch. (iii) What is the corresponding maximum shear stress in the spring?
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