GATE CE 2022 Set 1 — Question 13
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Structural Engineering → Torsion, Stress Transformation & Columns → Principal Stresses & Planes
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Question
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be MPa. The value of maximum shear stress at this point is
- A.7.5 MPa
- B.15.0 MPa
- C.30.0 MPa
- D.22.5 MPa
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Correct answer
(A;B)
Solution
For a thin cylindrical pressure vessel, the principal stresses at a point on the surface are:
1.Hoop stress ( or ) = MPa (given)
2.Longitudinal stress ( or ) = MPa
3.Radial stress ( or ) ≈ (at the outer surface)
The maximum shear stress () can be calculated in two ways depending on the context:- In-plane maximum shear stress: MPa
- Absolute maximum shear stress: MPa
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