A Corotational Formulation Based on Hamilton’s Principle for Geometrically Nonlinear Thin and Thick Planar Beams and Frames

Table 3

Comparison of the present results for cantilever beam subjected to end vertical load, h=2.5m.

	U / L			W / L
	Euler Bernoulli	Timoshenko	ANSYS	Euler Bernoulli	Timoshenko	ANSYS
1	0.0545	0.0573	0.0566	0.3024	0.3115	0.3141
2	0.1554	0.1616	0.1568	0.4971	0.5096	0.5140
3	0.2462	0.2545	0.2526	0.6111	0.6250	0.6332
4	0.3184	0.3278	0.3253	0.6824	0.6975	0.7081
5	0.3751	0.3854	0.3863	0.7309	0.7473	0.7595
6	0.4204	0.4314	0.4324	0.7665	0.7840	0.7978
7	0.4573	0.4689	0.4735	0.7941	0.8128	0.8279
8	0.4879	0.5001	0.5091	0.8165	0.8364	0.8527
9	0.5137	0.5265	0.5383	0.8353	0.8564	0.8739
10	0.5358	0.5491	0.5634	0.8517	0.8739	0.8927