Machine Design
A bolt of uniform strength can be developed by

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

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Machine Design
Elastic nut is a locking device in which

Through slots are made at top and a cotter pin is passed through these and a hole in the bolt, and cotter pin splitted and bent in reverse direction at other end
A slot is cut partly in middle of nut and then slot reduced by tightening a screw
Hard fibre or nylon cotter is recessed in the nut and becomes threaded as the nut is stewed on the bolt causing a tight grip
One small nut is tightened over main nut and main nut tightened against smaller one by loosening, creating friction jamming

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