GATE ME 2024 Set 1 — Question 41
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
Which of the following beam(s) is/are statically indeterminate?
Correct answer
(C) [figure]; (D) [figure]
Solution
Degree of static indeterminacy for a plane beam: , where is the number of reaction components. The solid dots in (B) and (D) only mark the points where the couple is applied; they are not hinges.
- (A) Pin (2) + roller (1): , . Determinate.
- (B) Pin (2) + roller (1), loaded by a couple : , . Determinate.
- (C) Pin (2) + two rollers (1 + 1): , . Indeterminate.
- (D) Fixed end (3) + roller (1): , (a propped cantilever). Indeterminate.
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