GATE ME 2015 Set 1 — Question 56
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Machine Design → Machine Elements → Bolted, Riveted & Welded Joints
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Question
A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in N) is _______
Correct answer
1835 to 1845
Solution
Given:
Load N
Number of rivets
Primary shear force on each rivet N (acting downwards).From the figure, the rivets are in a square pattern of mm. The center of gravity (CG) is at the center of the square.
Distance of each rivet from CG, mm.
mm.The eccentricity is the distance from the CG to the load. From the diagram, the mm dimension is from the vertical centerline of the rivet group to the load, so mm.
Secondary shear force N.For the worst loaded rivet (top-right or bottom-right), the angle between and is .
Resultant force
N.The range provided is 1835 to 1845.
Load N
Number of rivets
Primary shear force on each rivet N (acting downwards).From the figure, the rivets are in a square pattern of mm. The center of gravity (CG) is at the center of the square.
Distance of each rivet from CG, mm.
mm.The eccentricity is the distance from the CG to the load. From the diagram, the mm dimension is from the vertical centerline of the rivet group to the load, so mm.
Secondary shear force N.For the worst loaded rivet (top-right or bottom-right), the angle between and is .
Resultant force
N.The range provided is 1835 to 1845.
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