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GATE 2020: Strength of Material Quiz 7

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Question 1

A boiler shell having a capacity of 2m3 is subjected to an internal pressure of 1600kPa. The strain guage readings in the longitudinal and perpendicular directions are 25×10-6 and
112.5×10-6. Due to this, the change in volume suffered by the boiler shell is (in cm3)

Question 2

For the state of stress as shown below, Which of the following can be true?

Question 3

A thin pressure vessel cylindrical in shape is subjected to a guage pressure of 50Mpa and it is of diameter 700mm and thickness 10 mm. Under such pressure diameter of the shell increases, find the final diameter (in mm) of the cylindrical vessel. If E=210Gpa and poisson ratio =0.15

Question 4

Compare the ratio of volumetric increase 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 5

Water at 90m head of water flows through a cast iron pipe of diameter 1.5m. The thickness of the pipe required for this if it can withstand a maximum tensile stress of 18MPa would be nearly

Question 6

The maximum principal strain in thin cylindrical tank having a radius of 25 cm and wall thickness of 5mm when subjected to an internal pressure of 1MPa, take E=200GPa, poisson’s ratio =0.2 is
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