Buckling of Columns - Mechanical Engineering (MCQ) questions and answers

1)   Euler's formula is applicable only _________

1. for short columns
2. for long columns
3. if slenderness ratio is greater than √(π2 E / σc)
4. if crushing stress < buckling stress
5. if crushing stress ≥ buckling stress

a. 1, 2 and 3
b. 2, 3 and 5
c. 3 and 4
d. all of the above
 Answer  Explanation ANSWER: 2, 3 and 5 Explanation: No explanation is available for this question!

2)   What is the safe load acting on a long column of 2 m having diameter of 40 mm. The column is fixed at both the ends and modulus of elasticity is 2 x 105 N/mm2? (F.O.S = 2)

a. 120 kN
b. 124 kN
c. 130 kN
d. 150 kN
 Answer  Explanation ANSWER: 124 kN Explanation: No explanation is available for this question!

3)   Rankine-Gordon's empirical formula is applicable for _____

a. long column
b. short column
c. both a. and b.
d. none of the above
 Answer  Explanation ANSWER: both a. and b. Explanation: No explanation is available for this question!

4)   What is the value of Rankine's constant for cast iron?

a. 1 / 750
b. 1 / 1600
c. 1 / 7500
d. 1 / 9000
 Answer  Explanation ANSWER: 1 / 1600 Explanation: No explanation is available for this question!

5)   The ratio of effective length and least lateral dimension for short column is _______

a. > 12
b. < 12
c. ≥ 12
d. none of the above
 Answer  Explanation ANSWER: < 12 Explanation: No explanation is available for this question!

6)   In Euler's theory, long columns having the ratio of (Le /LLD) ≥ 12 fail due to _______

a. crushing
b. buckling
c. both a. and b.
d. none of the above
 Answer  Explanation ANSWER: buckling Explanation: No explanation is available for this question!

7)   Slenderness ratio is the ratio of effective length of column and ________

a. lateral dimension of a column
b. least radius of gyration of a column
c. maximum radius of gyration of a column
d. none of the above
 Answer  Explanation ANSWER: least radius of gyration of a column Explanation: No explanation is available for this question!

8)   What is the relation between actual length and effective length while determining crippling load for a hollow rectangular cast iron column having both ends fixed?
(where L= actual length and Le =effective length)

a. Le = L
b. Le = L/2
c. Le = 2L
d. Le = 4L
 Answer  Explanation ANSWER: Le = L/2 Explanation: No explanation is available for this question!

9)   While determining crippling load, the effective length of solid circular bar is 1/ √2 of actual length if, _______

a. both ends of solid circular bar are fixed
b. both ends of solid circular bar are hinged
c. one end is fixed and one is free
d. one end is fixed and other end is hinged
 Answer  Explanation ANSWER: one end is fixed and other end is hinged Explanation: No explanation is available for this question!

10)   If the effective length of a column is twice the actual length, then the column is ________

a. fixed at both the ends
b. hinged at both the ends
c. fixed at one end and free at the other end
d. fixed at one end and hinged at the other end
 Answer  Explanation ANSWER: fixed at one end and free at the other end Explanation: No explanation is available for this question!