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GATE 2025 PI – Question 57

General Engineering · Theory of Machines and Design · 2 marks · Numerical answer

A plate is attached to a channel with three identical carbon-steel bolts as shown. Permissible shear yield strength is 400 N/mm². The plate carries 12 kN; neglect plate weight. Find resultant shear on bolt 2 (integer N).

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Correct answer: 4000 to 4000

Explanation

Bolt 2 lies at the bolt-group centroid. Direct load shares equally among the three bolts: 12000/3 = 4000 N each. Eccentric load also creates a moment, but its additional bolt shear is proportional to distance from the centroid and is zero for bolt 2. Hence its resultant is **4000 N**.

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