Stability Analysis of Two-Segment Stepped Columns with Different End Conditions and Internal Axial Loads

Table 1

Comparison of VIM results for β values (𝑠=0.5) with exact results (from (23)).

	𝑛
𝑚	1		1.25		1.5		1.75		2
	Exact	VIM	Exact	VIM	Exact	VIM	Exact	VIM	Exact	VIM
1.00	3.1416	3.1416	3.3065	3.3065	3.4246	3.4246	3.5124	3.5124	3.5799	3.5799
1.25	2.9608	2.9608	3.1258	3.1258	3.2453	3.2453	3.3348	3.3348	3.4039	3.4039
1.50	2.8065	2.8065	2.9703	2.9703	3.0898	3.0898	3.1800	3.1800	3.2500	3.2500
1.75	2.6732	2.6732	2.8348	2.8348	2.9537	2.9537	3.0439	3.0439	3.1142	3.1142
2.00	2.5566	2.5566	2.7157	2.7157	2.8335	2.8335	2.9232	2.9232	2.9934	2.9934
3.00	2.2050	2.2050	2.3529	2.3529	2.4642	2.4642	2.5502	2.5502	2.6181	2.6181