GATE CE 2022 Set 1 — Question 37
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Structural Engineering → Statics & Rigid Bodies → Internal Forces in Structures
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Question
A semi-circular bar of radius m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for , respectively, are
Correct answer
(A) P√(2) kN, P√(2) kN, and PR√(2) kNm
Solution
At point Q where , the horizontal force can be resolved into components along the tangent (axial) and normal (shear) to the bar.
1.Axial force (): kN.
2.Shear force (): kN.
3.Bending moment (): The vertical distance from the line of action of (at H) to point Q is . Thus, kNm.
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