GATE ME 2023 Set 1 — Question 17
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Engineering Mechanics → Statics → Frames & Machines
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Question
The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
Correct answer
(C) [figure]
Solution
A pin-jointed plane frame is rigid only if it is built up of triangles (it satisfies and has no unbraced quadrilateral panel).
- (A) , : two triangles sharing a diagonal. Rigid.
- (B) (counting the unmarked top vertex), : every panel is a triangle. Rigid.
- (C) , , so the count alone looks sufficient, but the bars are badly arranged. The right panel, with crossed diagonals meeting at a central pin, has more bars than it needs. The middle panel is a rectangle with no diagonal, so it can shear into a parallelogram (a four-bar mechanism). Non-rigid.
- (D) , : each of the three panels has one diagonal. Rigid.
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