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?

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

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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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

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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?

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