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

Table 3

VIM results for β values for 𝑛=2 and 𝑛=4.

		𝑛=2					𝑛=4
BC	𝑚	𝑠					𝑠
		0.1	0.3	0.5	0.7	0.9	0.1	0.3	0.5	0.7	0.9
C-F	4	1.65206	1.78368	1.68681	1.42537	1.20064	1.69774	2.00174	2.21430	2.00174	1.69774
	2	1.65287	1.82208	1.91063	1.82208	1.65287	1.69796	2.01578	2.38550	2.52250	2.33637
	1.33	1.65314	1.83391	1.99225	2.03862	1.97192	1.69804	2.02012	2.43740	2.78307	2.78585
	1	1.65327	1.83963	2.03334	2.17345	2.21961	1.69808	2.02223	2.46192	2.93360	3.13371
P-P	4	2.44736	2.15245	2.35390	2.60062	2.38651	2.45939	2.23070	2.60160	3.40546	3.37234
	2	2.87062	2.73561	2.99339	3.37891	3.29347	2.87693	2.80819	3.25292	4.26056	4.64699
	1.33	3.04987	3.05477	3.35033	3.82251	3.93371	3.05358	3.11725	3.60214	4.69679	5.53814
	1	3.14659	3.25522	3.57986	4.10715	4.42814	3.14903	3.30900	3.82127	4.95922	6.21690
C-P	4	4.679810	3.970490	3.517460	3.913770	3.545850	4.835630	4.766060	4.059840	4.726560	5.011600
	2	4.702090	4.618720	4.348370	4.830420	4.830060	4.841840	5.276390	4.943270	5.653910	6.804160
	1.33	4.708810	4.851840	4.768080	5.289040	5.687220	4.843790	5.422040	5.365570	6.098110	7.965020
	1	4.712050	4.964310	5.018280	5.563920	6.309090	4.844740	5.487200	5.607940	6.359200	8.770790
P-C	4	3.20780	2.95096	3.33420	3.20236	2.99877	3.23621	3.10773	3.90356	4.32635	3.96682
	2	3.94773	3.86346	4.37165	4.39937	4.22783	3.96570	4.02591	4.99428	5.87100	5.58124
	1.33	4.30427	4.41335	4.99678	5.22272	5.16151	4.31532	4.56360	5.61479	6.86693	6.79931
	1	4.50824	4.78483	5.41993	5.83677	5.94039	4.51536	4.91969	6.01986	7.55381	7.80796
C-C	4	6.49864	4.85117	4.71153	4.79301	4.22351	6.76096	5.79608	5.33991	6.52958	5.62997
	2	6.57166	6.05035	5.99937	6.44874	5.93957	6.77901	7.01275	6.71136	8.43046	7.89341
	1.33	6.59137	6.61050	6.72061	7.45760	7.23127	6.78432	7.47136	7.45027	9.36667	9.57824
	1	6.60050	6.90898	7.18459	8.11453	8.29738	6.78686	7.67979	7.91216	9.91097	10.95100