GATE ME 2014 Set 4 — Question 45
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Machine Design → Machine Elements → Bolted, Riveted & Welded Joints
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Question
A bolt of major diameter 12 mm is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is 84.3 . The length of the threaded portion in grip is 30 mm, while the length of the unthreaded portion in grip is 8 mm. Young's modulus of material is 200 GPa. The effective stiffness (in MN/m) of the bolt in the clamped zone is _______
Correct answer
460 to 470
Solution
Given:
Major diameter, mm
Area of unthreaded portion, mm
Length of unthreaded portion, mm
Area of threaded portion, mm
Length of threaded portion, mm
Young's modulus, GPa N/mmStiffness of unthreaded portion, N/mm
Stiffness of threaded portion, N/mmEffective stiffness () in series:
N/mm
MN/mThe value lies in the range 460 to 470.
Major diameter, mm
Area of unthreaded portion, mm
Length of unthreaded portion, mm
Area of threaded portion, mm
Length of threaded portion, mm
Young's modulus, GPa N/mmStiffness of unthreaded portion, N/mm
Stiffness of threaded portion, N/mmEffective stiffness () in series:
N/mm
MN/mThe value lies in the range 460 to 470.
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