» Euler Buckling Formula
The critical load, P_{cr}, required to buckle the pinnedpinned column is given by the EULER BUCKLING FORMULA. Consider a column of length, L, crosssectional Moment of Inertia, I, having Young's Modulus, E. Both ends are pinned, meaning they can freely rotate and can not resist a moment. The critical compression force at which the column buckles is given by:
P_{cr} =

p^{2}EI
L^{2}


The Buckling Strength, s_{cr}, is the Euler Buckling Load divided by the columns crosssectional area:
s_{cr}
=

p^{2}EI
AL^{2}



Buckled Shape of a PinnedPinned Column under Compressive Force
