Machine Design
A closely coiled helical spring is acted upon by an axial force. The maximum shear stress developed in the spring is τ. The half of the length of the spring if cut off and the remaining spring is acted upon by the same axial force. The maximum shear stress in the spring in new condition will be

2 τ
τ
τ/2
4 τ

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Machine Design
A bolt of uniform strength can be developed by

Keeping the core diameter smaller than the diameter of the unthreaded portion
Keeping the nominal diameter of threads equal to the diameter of unthreaded portion of the bolt
None of these
Keeping the core diameter of threads equal to the diameter of unthreaded portion of the bolt

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Machine Design
Slenderness ratio is the ratio of

Effective length of column to least radius of gyration of the column
Effective length of column to width of column
Width of column to depth of column
Maximum size of column to minimum size of column

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