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

Table 2

Comparison of VIM results for β values (𝑛=1) with exact results [11].

		𝑠
BC	𝑚	0.1		0.3		0.5		0.7		0.9
		Exact	VIM	Exact	VIM	Exact	VIM	Exact	VIM	Exact	VIM
C-F	4	1.56686	1.56685	1.46680	1.46680	1.23095	1.23096	1.01112	1.01111	0.84904	0.84904
	2	1.56950	1.56950	1.53686	1.53686	1.43779	1.43779	1.30081	1.30082	1.16904	1.16904
	1.33	1.57036	1.57037	1.55961	1.55961	1.52425	1.52425	1.46498	1.46497	1.39505	1.39506
P-P	4	2.42298	2.42298	2.00448	2.00448	1.96601	1.96601	1.89495	1.89495	1.68817	1.68816
	2	2.85769	2.85769	2.59029	2.59029	2.55657	2.55656	2.50864	2.50864	2.33135	2.33135
	1.33	3.04226	3.04226	2.92536	2.92536	2.90675	2.90676	2.88509	2.88509	2.78735	2.78735
C-P	4	4.39908	4.39907	3.37502	3.37502	3.01150	3.01149	2.94442	2.94442	2.50798	2.50798
	2	4.46510	4.46509	4.06141	4.06141	3.80247	3.80247	3.76424	3.76424	3.42116	3.42116
	1.33	4.48429	4.48429	4.34651	4.34652	4.22846	4.22847	4.21207	4.21207	4.03808	4.03808
P-C	4	3.15057	3.15057	2.66544	2.66544	2.62683	2.62682	2.40572	2.40571	2.25642	2.25641
	2	3.91057	3.91057	3.54573	3.54573	3.51694	3.51694	3.32992	3.32992	3.18659	3.18659
	1.33	4.28124	4.28124	4.10249	4.10249	4.08788	4.08789	3.98602	3.98602	3.89716	3.89716
C-C	4	5.97573	5.97573	4.16581	4.16580	3.93102	3.93102	3.54153	3.54153	3.16821	3.16821
	2	6.19875	6.19876	5.32574	5.32574	5.11300	5.11300	4.82979	4.82978	4.46859	4.46859
	1.33	6.25686	6.25686	5.93175	5.93175	5.81351	5.81351	5.67979	5.67980	5.45754	5.45753