A steel clip consisting of a circular ring of rectangular cross-section, 3 mm wi

Question

A steel clip consisting of a circular ring of rectangular cross-section, 3 mm wide by 1 mm thick with a mean diameter of 12 mm, fits on to a shaft such that the gap AB is 0.5 mm larger than in the un-stressed condition. If the applied forces to the clip at A, B, C and D are equal, ignoring any friction:

(a) Find the radial forces at A, B, C and D.

(b) Determine the maximum stress produced by these forces.

E for mild steel= 210 GPa

I've tried to rotate the ring so I have horizontal and vertical radial forces and make a cut in the middle of the ring but could not get the correct answers. Suggested correct answers are: all forces are the same 5.9N and maximum stress is 200MPa.

Explanation / Answer

Maximum stress produced= F/A

F= (5.9/3)Nmm-2

F=200MPa

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