GATE ME 2014 Set 2 — Question 42
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Machine Design → Machine Elements → Bolted, Riveted & Welded Joints
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Question
For the three bolt system shown in the figure, the bolt material has shear yield strength of . For a factor of safety of 2, the minimum metric specification required for the bolt is

Correct answer
(B) M10
Solution
1.Identify the load per bolt: The total shear force applied to the three-bolt system is . Assuming the load is shared equally among the three bolts, the shear force per bolt is:
2.Determine allowable shear stress: Given the shear yield strength and a factor of safety , the allowable shear stress is:
3.Calculate required bolt diameter: The shear stress in a bolt is , where . Setting :
4.Select metric specification: The minimum diameter required is . The next standard metric size available in the options is M10.
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