Question

Column A has both its ends fixed, and column B has one end fixed and the other end free. The ratio of the buckling load of column A to that of column B is:

• A. 1
• B. 16
• C. 0.5
• D. 2

Answer 1

Answer:

B. 16

The ratio of buckling load of column A, fixed at both ends with effective length $L_{e} = \frac {L}{ 2}$ to that of column B, fixed at one end and free at the other end with effective length $L_{e} = 2L$is $\frac{P_{A}}{P_{B}} =(\frac{L_eB}{ L_eA })_{eff} ^ 2 =(\frac{ 2L}{ L/2} )^ 2 =16: 16:1$