Accurate Element of Compressive Bar considering the Effect of Displacement

Table 1

Comparison of calculated buckling loads of bar from different methods.

Types of bar	Theoretical solution	Direct stiffness; method		Interpolation shape; function method		Proposed; method
		Buckling; Load (N)	RE (%)	Buckling; load (N)	RE (%)	Buckling; load (N)	RE (%)
Cantilever bar	1151.45	1151.41		1160.10		1151.45
Simply supported bar	4605.82	4605.62		5600.00		4605.82
Bar with one end pinned and the other end sliding supported	4605.82	4605.62		4666.70		4605.82
Bar with one end pinned and the other simply supported	9422.34	9421.88		14000.00		9422.34

Note: the sliding supported means that the bar can slide in longitudinal operation.