GATE ME 2016 Set 3 — Question 16
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
A force is acting on a bent bar which is clamped at one end as shown in the figure.
The CORRECT free body diagram is
Correct answer
(A) [figure]
Solution
A clamped or fixed support in a two-dimensional plane prevents translation in both the horizontal () and vertical () directions, as well as rotation. Consequently, it exerts three reaction components: a horizontal force (), a vertical force (), and a reactive moment (). The applied force acts at the free end of the bent bar at an angle of to the horizontal. A correct Free Body Diagram (FBD) must represent all external applied forces and all support reactions. Option (A) is the only diagram that correctly includes both force reactions (), the moment reaction () at the fixed end, and the applied force at its specified orientation.
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