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GATE ME: Strength of Materials Champion Quiz 4

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Question 1

If one end of a hinged column is made fixed and the other end of the hinged is made free, how much is the critical load compared to the original value?

Question 2

For the case of a slender column of length L and flexural rigidity El built in at its base and free at the top, the Eulers critical buckling load is

Question 3

Which assumptions are incorrect in column theory?

Question 4

A cylindrical tank with closed ends is filled with compressed air at a pressure of 500 kPa. The inner radius of the tank is 2 m. and it has wall thickness of 10 mm. The magnitude of maximum in-plane shear stress (in MPa) is __________.

Question 5

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

Question 6

Fracture Difficultness is measured in terms of

Question 7

A seamless pipe of diameter d m is to carry fluid under a pressure of p kN/cm². The necessary thickness t of metal in cm, if the maximum stress is not to exceed σ kN/cm² is

Question 8

What is the slenderness ratio of a 4 m long column with fixed ends if its cross section is square of side 40 mm?

Question 9

The cross-sections of two solid bars made of the material are shown in the figure. The square cross-section has flexural (bending) rigidity I₁, while the circular cross-section has flexural rigidity I₂. Both sections have the same cross-sectional are. The ratio is I₁/I₂is