A long, slender steel column is fixed at one end and free at the other. If its unbraced length is doubled, what is the precise impact on its critical buckling load?

The critical buckling load of a long, slender column is the maximum axial compressive force it can withstand before it suddenly deflects laterally and collapses, a phenomenon known as elastic buckling. This load is precisely determined by Euler's buckling formula: Pcr = (π² E I) / (K L)². Here, Pcr is the critical buckling load, representing the specific axial load at which buckling occurs. E represents the Modulus of Elasticity, which is a material property indicating the column's stiffness or resistance to elastic deformation; for steel, this value is constant under normal operating conditions. I ....