Chapter-11
Thick Cylinder
Coeds: (a) (c) IES-15. Ans. (d) IES-16.
A 4 2
B 2 4
C 1 3
D 3 1
S K Mondal’s A 4 2
(b) (d)
B 2 4
C 3 1
D 1 3
If the total radial interference between two cylinders forming a compound cylinder is δ and Young's modulus of the materials of the cylinders is E, then the interface pressure developed at the interface between two cylinders of the same material and same length is: [IES-2005] (a) Directly proportional of E x δ (b) Inversely proportional of E/ δ (c) Directly proportional of E/ δ (d) Inversely proportional of E / δ
IES-16. Ans. (a)
(
)
⎡ ⎤ 2D22 D32 − D12 PD2 ⎢ ⎥ δ = E ⎢ ⎡ D32 − D22 D22 − D12 ⎤ ⎥ ⎦⎦ ⎣⎣ ∴ P α E.δ
(
)(
)
Alternatively : if E ↑ then P ↑ and if δ ↑ then P ↑ so P α Eδ
IES-17.
A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder is: [IES-1994] (b) 36 kgf/cm2 tension (a) 36 kgf/cm2 compression (d) 72 kgf/cm2 tension. (c) 72 kgf/cm2 compression IES-17. Ans. (c)
Thick Spherical Shell IES-18.
The hemispherical end of a pressure vessel is fastened to the cylindrical portion of the pressure vessel with the help of gasket, bolts and lock nuts. The bolts are subjected to: [IES-2003] (a) Tensile stress (b) Compressive stress (c) Shear stress (d) Bearing stress IES-18. Ans. (a)
Previous 20-Years IAS Questions Longitudinal and shear stress IAS-1.
A solid thick cylinder is subjected to an external hydrostatic pressure p. The state of stress in the material of the cylinder is represented as: [IAS-1995]
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