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 frame is considered rigid if it cannot change its shape without changing the length of its members. For a 2D truss with joints and members, a necessary condition for rigidity is . However, the members must also be arranged such that no part of the frame forms a mechanism.
1.Option (A): , . . Since and the panels are triangulated, it is rigid.
2.Option (B): , . . Since and the panels are triangulated, it is rigid.
3.Option (C): , . . Although , the middle panel is a rectangle with four pin joints and no diagonal member. This panel can undergo shear deformation (parallelogram mechanism), making the entire frame non-rigid.
4.Option (D): , . . Since and every panel is triangulated, it is a rigid and statically determinate truss.
Therefore, frame (C) is non-rigid.Continue learning with Success Tracker
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