Question

A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______N

• A. 800

Answer 1

The correct option is A 800


For a given material in 0.1 and length,
$Pe\propto \frac{1}{{\alpha }^2}$
$\alpha =\text{length fixity coefficient}$
$Pe=\text{Buckling of critical load}$
$\frac{(Pe{)}_{II}}{\left(Pe\right)I}={\left(\frac{{\alpha }_I}{{\alpha }_{II}}\right)}^2={\left(\frac{2L}{L/\sqrt{2}}\right)}^2=8$
$(P_e{)}_{II}=8(P_e{)}_I=800N$