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GATE (CE) 2022 : Strength Of Materials Quiz #8

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Question 1

A thin walled cylindrical pressure vessel having a radius of 0.5 m and wall thickness of 25 mm is subjected to an internal pressure of 700 kPa. The hoop stress developed is

Question 2

Wall thickness of a thin cylinder shell of 800 mm internal diameter is 10 mm. length of the cylinder is 2m. if the shell is subjected to an internal pressure of 1.5 MPa, determine the maximum shear stress.

Question 3

A seamless spherical shell, 0.90 m in diameter and 10 mm thick, is being filled with a fluid pressure until the volume increases by 150 cm³. The pressure (in MPa) exerted by the fluid on the shell is
[Take E = 200 GPa and μ = 0.3]

Question 4

A water mains 140 cm inner diameter contains water at a pressure head of 200 m. The minimum thickness of the metal shell required for the water mains, given that maximum permissible stress in the metal is 400 kg/cm², will be ___ mm.

Question 5

Compare the ratio of volumetric strain in cylindrical and spherical shell when they are subjected to same internal pressure and both have same d/t ratio, where d is the internal diameter of the vessel and t is the thickness of the vessel. It is given that poisson ratio is 0.3. Neglect the stress in radial direction.

Question 6

Two closed coil springs of stuffiness s and 2s are arranged in series in one case and in parallel in the other case. The ratio of stiffness of springs connected in series to parallel is

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ESE & GATE CE Strength of Materials

Aug 25ESE & GATE CE