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GATE 2019: Strength of Material Quiz 8

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Question 1

Three columns are made with same materials and are having same cross-sections. One is hinged from both ends, second is fixed from both ends and third is one end fixed and other end free. If critical load of all of the columns is same then what is the length ratio for all three?

Question 2

For which one of the following columns, Euler’s buckling load

Question 3

A bar of length 4 m when used as a cantilever beam, and subjected to a concentrated load of 30 kN at the middle, deflect 1.5 cm at the free end. When it is used as a column with same end condition as that of cantilever beam, the buckling load will be

Question 4

A hollow cylindrical steel tube of 38 mm diameter(external) and 2.5 mm thick is used as a column of 2.3 m long with both and fixed. The slenderness ratio is

Question 5

Which of the following are correct?
P) Slenderness ratio is defined as the ratio of the effective length of the column to the minimum radius of the gyration
Q) Euler’s formula is applicable for short columns
R) Rankine’s constant for mild steel is 1/7500

Question 6

The rod PQ of length L and with flexural rigidity EI is hinged at both ends. For what minimum force F is it expected to buckle?
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