Question

A rigid bar GH of length L is supported by a hinge and a spring of stiffness K as shown in the figure below. The buckling load $P_{cr}$, for the bar will be

• A. 0.5 KL
• B. 0.8 KL
• C. 1.0 KL
• D. 1.2 KL

Answer 1

The correct option is C 1.0 KL

Let the deflection in the spring be d and force in the spring be F
Taking moment about G


$P_{cr}\times \delta =F\times L$
$P_{cr}\times \delta =\left(k\delta \right)\times L$
$P_{cr}=KL$
$=1.0KL$