Question

Which one of the following statement is correct?

• A. Euler's formula holds good only for short columns
• B. A short column is one which has the ratio of its length to least radius of gyration greater than 100
• C. A column with both ends fixed has minimum equivalent or effective length
• D. The equivalent length of a column with one end fixed and other end hinged is half of its actual length

Answer 1

Answer:

C. A column with both ends fixed has minimum equivalent or effective length

End conditions	$L_e$	Buckling load
Both ends Hinged	$L_e=L$	$P_b=\frac{\pi^2EI}{L^2}$
Both ends Fixed	$L_e=\frac L2$	$P_b=\frac{4\pi^2EI}{L^2}$
One end fixed and other end is free	$L_e=2L$	$P_b=\frac{\pi^2EI}{4L^2}$
One end fixed and other end is hinged	$L_e=\frac {L}{\sqrt2}$	$P_b=\frac{2\pi^2EI}{L^2}$