Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method

Table 1

Nondimensional critical buckling loads of uniform columns for various end supports.

Boundary conditions	Buckling load
	Exact solution (Chajes [3])	GDQ (N = 11) (Du et al. [45])	FEM (Newberry et al. [46])	SBCGM (N = 11) (Abumandour et al. [21])	Present proposed technique (N = 11)	Absolute relative error %
Simply-simply	9.8696	9.8696	9.9438	9.8696	9.8696	0.00000
Clamped-clamped	39.4784	39.4784	39.9730	39.4784	39.4784	0.00000
Clamped-simply	20.1907	20.19072	20.4972	20.1907	20.1907	0.00000