Analytical Solution for Lateral-Torsional Buckling of Concrete-Filled Tubular Flange Girders with Torsional Bracing

Table 8

Comparison of theoretical analysis and finite element analysis.

Section 1				Section 2
	(FEM) (kN·m)	(equation (15)) (kN·m)	Error (%)		(FEM) (kN·m)	(equation (15)) (kN·m)	Error (%)
0	122.16	121.00	−0.96	0	30.84	30.78	−0.20
1000	130.48	129.41	−0.83	1000	32.52	32.47	−0.16
2000	138.12	137.15	−0.71	2000	34.10	34.06	−0.12
3000	145.19	144.41	−0.54	4000	36.97	37.00	0.06
4000	151.83	151.25	−0.38	6000	39.54	39.67	0.34
6000	164.00	163.86	−0.08	10000	43.98	44.40	0.96
10000	184.35	185.73	0.74	12000	45.92	46.52	1.28
15000	204.91	208.49	1.72	15000	48.58	49.45	1.76
20000	221.48	227.57	2.68	17000	50.20	51.25	2.05
25000	235.41	243.85	3.46	20000	52.41	53.77	2.53
30000	246.73	257.90	4.33	25000	55.64	57.54	3.31
40000	265.32	280.84	4.96	30000	58.39	60.86	4.05
50000	278.68	298.61	5.53	40000	62.88	66.43	5.34
60000	289.39	306.01	6.13	50000	66.36	70.90	6.41
70000	297.74	312.49	6.67	60000	69.12	74.54	7.27
80000	304.51	332.92	7.09	70000	71.38	77.55	7.96
85000	307.30	336.83	7.39	80000	73.09	80.05	8.70
87102	310.11	337.14	7.70	100000	75.99	83.93	9.47
95000	312.49	337.14	8.05	110267	78.02	85.11	8.33
100000	314.46	337.14	8.32	130000	79.50	85.11	6.60