VE0213 | Flexión espacial con esfuerzo axil y alabeo

Descripción del trabajo

La viga continua con cuatro vanos está cargada por fuerzas axiles y de flexión (que reemplazan las imperfecciones). All supports are fork - warping is free. Determine displacements u_y and u_z, moments M_y, M_z, M_ω and M_Tpri and rotation φ_x. The verification example is based on the example introduced by Gensichen and Lumpe (see the reference).

Material	Steel S355	Módulo de elasticidad	E	210000.000	MPa
Material	Steel S355	Módulo de cortante	[LinkToImage06]	81000.000	MPa
Geometry	Beam	perímetro	L	12.000	m
	Beam	matriz	L_s	3.000	m
	Cross-section	Altura	H	400.000	mm
		Ancho	b	180.000	mm
		Espesor de alma	s	10.000	mm
		espesor del ala	t	14.000	mm
Load		Transversal Forces	F_y, F_z	31.000	kN
Load		esfuerzo axil	F_x	1550.000	kN

Flexión espacial con esfuerzo axil y alabeo

Solución analítica

Analytical solution is not available. Results from software S3D are taken as reference.

RFEM and RSTAB Settings

Modeled in RFEM 6.05, RSTAB 9.05
The element size is l_FE= 0.300 m
Isotropic linear elastic material model is used
Second-Order Analysis and Large deformation Analysys is used
Torsional Warping is used in RFEM 6 and RSTAB 9

Resultados

Quantity	S3D	RFEM 6 - Second-Order Analysys	Razón	RFEM 6 - Large Deformation Analysys	Razón
u_y,max [mm]	12.600	13.334	1.058	13.242	1.051
u_z,max [mm]	45.200	44.675	0.988	46.989	1.040
φ_x,max [mrad]	11.750	12.701	1.081	12.389	1.054
M_y,max [kNm]	163.000	162.084	0.994	165.738	1.017
M_z,max [kNm]	44.000	46.077	1.047	45.131	1.026
M_Tpri,max [kNm]	47.000	49.000	1.043	47.930	1.020
M_Tsec,max [kNm]	172.000	224.071	1.303	118.061	0.686
M_ω,max [kNm²]	1.440	1.530	1.063	1.500	1.042

Comentario: This verification example is not available in Large Deformation Analysis in RSTAB 9 now.

Quantity	S3D	RSTAB 9 - Second-Order Analysys	Razón	RSTAB 9 - Large Deformation Analysys	Razón
u_y,max [mm]	12.600	13.339	1.059
u_z,max [mm]	45.200	44.660	0.988
φ_x,max [mrad]	11.750	12.845	1.093
M_y,max [kNm]	163.000	162.064	0.994
M_z,max [kNm]	44.000	45.251	1.028
M_Tpri,max [kNm]	47.000	49.435	1.052
M_Tsec,max [kNm]	172.000	137.759	0.801
M_ω,max [kNm²]	1.440	1.536	1.067

90x

Ejemplo de verificación 0213 | 1

Referencias

LUMPE, G. y GENSITEN, V. Evaluación del análisis de barras lineal y no lineal en teoría y software: Ejemplos de ensayos, causas de fallo, teoría detallada. Ernesto.
LUMPE, G. S3D (vers. 25/09/2011). Universidad de Ciencias Aplicadas de Biberach, 2011.

Gensichen

;