engineering recuitment ISRO Scientist Mechanical Mock Test Strength of Materials Columns Euler's Theory of Buckling
Match the following statements for the critical buckling load of a column of length L with modulus of elasticity E, and moment of inertia I.
| A. | Column with pinned joints at both end. | 1. | \(\rm \frac{2\pi ^2EI}{L^2}\) |
| B. | Column with fixed at both ends. | 2. | \(\rm \frac{4\pi^2EI}{L^2}\) |
| C. | Column with fixed at one end and pinned at another end. | 3. | \(\rm \frac{\pi^2EI}{4L^2}\) |
| D. | Column with fixed at one end and free at another end. | 4. | \(\rm \frac{\pi^2EI}{L^2}\) |
1
(A) - (4), (B) - (2), (C) - (1), (D) - (3)
2
(A) - (1), (B) - (2), (C) - (3), (D) - (4)
3
(A) - (3), (B) - (2), (C) - (1), (D) - (4)
4
(A) - (2), (B) - (3), (C) - (4), (D) - (1)