VE0098 | Planar Truss Under Bending and Torsion

Description

Planar truss consisting of four sloped members and one vertical member is loaded at the upper node by means of the vertical force F_z and out of plane force F_y. Assuming large deformation analysis and neglecting self-weight, determine the normal forces of the members and the out of plane displacement of the upper node u_y. The verification example is based on the example introduced by Gensichen and Lumpe (see the reference).

Material	Steel	Modulus of Elasticity	E	210000.000	MPa
Material	Steel	Poisson's Ratio	ν	0.296	-
Geometry	Sloped Member IPE 300	Height	h₁	300.000	mm
		Width	b₁	150	mm
		Web Thickness	t_w	7.100	mm
		Flange Thickness	t_f	6.708	m
		Length	L₁	6.000	m
	Vertical Member QRO 120x5	Side Length	b₂	120.000	mm
		Wall Thickness	s₂	5.000	mm
		Length	L₂	6.000	m
Load		Out of Plane Force	F_y	0.200	kN
Load		Vertical Force	F_z	24.000	kN

01 Planar Truss Under Bending and Torsion

Analytical Solution

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

RFEM and RSTAB Settings

Modeled in version RFEM 5.26, RSTAB 8.26 and RFEM 6.01, RSTAB 9.01
The element size is l_FE = 0.600 m
Large deformation analysis is considered
The number of increments is 10
Isotropic linear elastic material model is used

Results

02 RFEM Results

Displacement of the upper node u_y [m]	S3D	RFEM 6	Ratio	RSTAB 9	Ratio
Displacement of the upper node u_y [m]	0.082	0.083	0.988	0.083	0.0988

Displacement of the upper node u_y [m]	S3D	RFEM 5	Ratio	RSTAB 8	Ratio
Displacement of the upper node u_y [m]	0.082	0.083	0.988	0.083	0.0988

Normal Force N [kN]	S3D	RFEM 6	Ratio	RSTAB 9	Ratio
Upper Sloped Member	-3.7	-3.4	1.088	-3.5	1.057
Lower Sloped Member	23.0	23.2	0.991	23.2	0.991
Vertical Member	-20.5	-20.7	0.990	-20.7	0.990

Normal Force N [kN]	S3D	RFEM 5	Ratio	RSTAB 8	Ratio
Upper Sloped Member	-3.7	-3.5	1.057	-3.5	1.057
Lower Sloped Member	23.0	23.2	0.991	23.2	0.991
Vertical Member	-20.5	-20.6	0.995	-20.7	0.990

References

LUMPE, G. and GENSITEN, V. Evaluation of Linear and Nonlinear Member Analysis in Theory and Software: Test examples, causes of failure, detailed theory. Ernest.
LUMPE, G. S3D (Vers. 09/25/2011). Biberach University of Applied Sciences, 2011.

Gensichen

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