Dynamic Responses of Simply Supported Girder Bridges to Moving Vehicular Loads Based on Mathematical Methods

Table 11

Various analyses of numerical simulations considering interaction.

(a) Dynamic load allowance (DLA) of the bridge

Factor		dof	Initial			Modification
				0.0411	1	0.0411	26.04	0.05	0.0411	68.61	0.01
	0.0160	1	0.0160	10.12	0.10	0.0160	26.66	0.01
	0.0003	1	0.0003	0.21	>0.25	—	—	—
	0.3257	1	0.3257	206.42	0.01	0.3257	543.94	0.01
	0.0030	1	0.0030	1.90	>0.25	0.0030	5.00	0.10
	0.0006	1	0.0006	0.36	>0.25	—	—	—
	0.0003	1	0.0003	0.21	>0.25	—	—	—
	0.0018	1	0.0018	1.11	>0.25	0.0018	2.92	0.25
	0.0003	1	0.0003	0.17	>0.25	—	—	—
	0.0000	1	0.0000	0.01	>0.25	—	—	—
	0.0001	1	0.0001	0.08	>0.25	—	—	—
	0.0014	1	0.0014	0.90	>0.25	0.0014	2.38	0.25
	0.0493	1	0.0493	31.26	0.05	0.0493	82.37	0.01
Error	0.0032	2	0.0016			0.0006
Sum	0.4431	15

(b) Vibration acceleration of the bridge ()

Factor		dof	Initial			Modification
				0.1977	1	0.1977	32528.26	0.01	0.1977	36136.85	0.01
	0.0545	1	0.0545	8967.12	0.01	0.0545	9961.91	0.01
	0.0007	1	0.0007	107.79	0.01	0.0007	119.75	0.01
	1.4716	1	1.4716	242142.36	0.01	1.4716	269004.93	0.01
	0.0111	1	0.0111	1828.29	0.01	0.0111	2031.12	0.01
	0.0004	1	0.0004	65.65	0.01	0.0004	72.93	0.01
	0.0013	1	0.0013	207.47	0.01	0.0013	230.48	0.01
	0.0007	1	0.0007	119.36	0.01	0.0007	132.61	0.01
	0.0000	1	0.0000	1.10	>0.25	—	—	—
	0.0000	1	0.0000	0.50	>0.25	—	—	—
	0.0052	1	0.0052	848.12	0.01	0.0052	942.20	0.01
	0.0008	1	0.0008	129.02	0.01	0.0008	143.34	0.01
	0.0389	1	0.0389	6404.66	0.01	0.0389	7115.17	0.01
Error	0.0000	2	0.0000			0.0000
Sum	1.7828	15

(c) Vibration acceleration of the vehicle ()

Factor		dof	Initial			Modification
				1.6400	1	1.6400	14.80	0.10	1.6400	51.80	0.01
	0.4914	1	0.4914	4.44	0.25	0.4914	15.52	0.01
	0.0062	1	0.0062	0.06	>0.25	—	—	—
	1.1866	1	1.1866	10.71	0.10	1.1866	37.48	0.01
	0.0159	1	0.0159	0.14	>0.25	—	—	—
	0.1175	1	0.1175	1.06	>0.25	0.1175	3.71	0.10
	0.0094	1	0.0094	0.08	>0.25	—	—	—
	0.0099	1	0.0099	0.09	>0.25	—	—	—
	0.0034	1	0.0034	0.03	>0.25	—	—	—
	0.0003	1	0.0003	0.00	>0.25	—	—	—
	0.0498	1	0.0498	0.45	>0.25	0.0498	1.57	0.25
	0.0182	1	0.0182	0.16	>0.25	—	—	—
	1.6199	1	1.6199	14.62	0.10	1.6199	51.17	0.01
Error	0.2216	2	0.1108			0.0317
Sum	5.3900	15