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GATE ME 2026 Set 1 — Question 41

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MCQ+2 / -0.67MediumFree-Body Diagrams & EquilibriumStaticsEngineering MechanicsFrames & Machines

Engineering Mechanics → Statics → Frames & Machines

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Question

Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a pin support. Neglecting the mass of the members, the magnitude of the vertical reaction force at C in kN is
Two horizontal beams connected by a hinge. Member 1 (left) is 1.0 m long, supported by a roller at A, and has a 10 kN downward load at its midpoint (0.5 m from A). Member 2 (right) is connected to Member 1 at the hinge. It is supported by a roller at B (0.2 m from the hinge) and a pin at C (0.8 m from B). A 25 kN downward load is applied 0.2 m to the right of B.
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