Question

For a column of length (L) and flexural rigidity (El) which has one end fixed and other end free, the expression for critical load is given as -

• A. $$P=\pi^2EI/L^2$$
• B. $$P=4\pi^2EI/L^2$$
• C. $$P=2\pi^2EI/L^2$$
• D. $$P=\pi^2EI/4L^2$$

Answer 1

Answer:

$$P=\pi^2EI/4L^2$$

The critical load for a column with one fixed and one free end is given by $Pb = \pi ^ 2 EL / 4 L ^ 2$ The effective length (Le) for this case is 2L.