GATE CE 2014 Set 2 — Question 40
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Structural Engineering → Statics & Rigid Bodies → Internal Forces in Structures
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Question
The values of axial stress () in kN/m, bending moment () in kNm, and shear force () in kN acting at point P for the arrangement shown in the figure are respectively
Correct answer
(B) 1250, 150 and 50
Solution
1.Tension in Cable: Since the pulley is frictionless and the load is 50 kN, the tension in the cable is 50 kN throughout.
2.Forces at Q: The cable exerts two forces on the pulley at Q: a horizontal force kN towards P and a vertical downward force kN.
3.Internal Forces at P:
- Axial Force (): The horizontal component of the cable tension at Q causes axial compression in the beam. kN.
- Shear Force (): The vertical downward force at Q is transferred to the support at P. kN.
- Bending Moment (): The vertical force at Q creates a moment about P. kNm.
- Area .
- .
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