Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam

Table 7

Critical load of the simply and clamped supported beam-column.

𝑙/ℎ	Simply supported			Clamped supported
	Analytical solution	Ferreira [10]	Proposed element	Analytical solution	Ferreira [10]	Proposed element
10	8013.8	8021.8	8013.86	29766	29877	29770
100	8.223	8.231	8.2225	32.864	32.999	32.864
1000	0.0082	0.0082	0.00822	0.0329	0.0330	0.0329