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# GATE 2023 Strength of Materials Quiz 33

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Question 1Multiple Correct Options

A rigid bar of negligible weight and carrying a load of 20 kN is supported by 3 springs as shown in figure with the respective stiffness as k1 = 30 kN/m, k2 = 18 kN/m,k3 = 12 kN/m. The unloaded springs are of same length. Select the correct statements such that the bar remains horizontal.

Question 2

A leaf spring is required to have a span of 2 .0 m. Determine the required thickness (in mm) of each plate if the maximum stress should not exceed 120 MPa and the maximum central deflection should not exceed 12 mm. (Take E = 200 GPa)

Question 3

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 4

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 5

What will be the shear centre(e) of a channel section (in mm) of uniform thickness knowing that b = 50 mm, h = 150 mm and t = 3mm.

Question 6

A thick cylinder of internal diameter 10 cm is subjected to an internal pressure of 50 N/mm2, then the thickness of the cylinder according to the maximum shear stress theory, if yield stress is 270 N/mm2 and factor of safety is 2, is _______mm.
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