GATE CE 2022 Set 2 — Question 16
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Structural Engineering → Indeterminate Analysis & Influence Lines → Indeterminate Structures
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Question
Consider a beam PQ fixed at P, hinged at Q, and subjected to a load as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are
Correct answer
(A) 2 and 1
Solution
1.Static Indeterminacy ():
- Support at P is fixed: 3 reactions ().
- Support at Q is a pin (hinge): 2 reactions ().
- Total reactions .
- Number of equilibrium equations .
- .
- At fixed support P: 0 degrees of freedom.
- At hinged support Q: Only rotation () is possible (assuming axial deformation is neglected as per standard beam problems unless specified).
- .
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