GATE ME 2020 Set 1 — Question 49
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Machine Design → Machine Elements → Bolted, Riveted & Welded Joints
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Question
A rectangular steel bar of length , width , and thickness is cantilevered to a steel channel using 4 bolts, as shown.
For an external load of applied at the tip of the steel bar, the resultant shear load on the bolt at B, is ________ (round off to one decimal place).
Correct answer
15.9 to 16.1
Solution
The bolts are arranged symmetrically about the centroid . The primary shear force on each bolt is acting downwards. The eccentricity of the load from the centroid is . The moment is . The distance of bolt B from the centroid is . The secondary shear force on bolt B is . acts perpendicular to in the direction of the moment (clockwise), which is at an angle of from the horizontal. acts at . The angle between and is . The resultant force is .
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