Mechanical Engineering Exam > Mechanical Engineering Notes > Strength of Materials (SOM) > GATE Past Year Questions: Thin Cylinders
GATE Past Year Questions: Thin Cylinders | Strength of Materials (SOM) - Mechanical Engineering PDF Download
Q1: The figure shows a thin-walled open-top cylindrical vessel of radius r and wall thickness t. The vessel is held along the brim and contains a constant-density liquid to height h h from the base. Neglect atmospheric pressure, the weight of the vessel and bending stresses in the vessel walls. Which one of the plots depicts qualitatively CORRECT dependence of the magnitudes of axial wall stress (σ1) and circumferential wall stress (σ2 ) on y? [GATE ME 2023]
(a) A
(b) B
(c) C
(d) D
Ans: (a)
Unit weight of liquid = γ
Weight of liquid = γ × volume
W = γ × (πr2) (h)
Pressure at y ′= γ × y
σ2 (Circumferential stress) = 
Q1: A thin-walled cylindrical pressure vessel has mean wall thickness of t and nominal radius of r. The Poisson's ratio of the wall material is 1/3. When it was subjected to some internal pressure, its nominal perimeter in the cylindrical portion increased by 0.1% and the corresponding wall thickness became 
The corresponding change in the wall thickness of the cylindrical portion, i.e. 100 x (
- t)/t, is ________%(round off to 3 decimal places). [GATE ME 2022, SET-1]
Ans:(-0.062 to -0.058)
π (d + δ d) =1.001πd
ε1 = dδ/d = 0.001 = pd/4(2 − v)
Pd/4tE = (2−v)0.001=6×10−4
Therefore, The corresponding change in the wall thickness of the cylindrical portion
=100 × 
=100 × δt/t =100 × (−6) × 10−4= −0.06%
Question for GATE Past Year Questions: Thin Cylinders
Try yourself:A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gauge pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is
[2015]
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Question for GATE Past Year Questions: Thin Cylinders
Try yourself:A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
[2012]
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Question for GATE Past Year Questions: Thin Cylinders
Try yourself:A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is
[2013]
where P = internal pressure.
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Question for GATE Past Year Questions: Thin Cylinders
Try yourself:A thin cylinder of inner radius 500 mm and thickness 10 mm subjected to an internal pressure of 5 MPa. The average circumferential (hoop) stress in MPa is
[2011]
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