86x

2024-02-23

VE0099 | Spatial Bending with Warping

Description

The axial rotation of the I-profile is restricted on the both ends by means of the fork supports (warping is not restricted). The structure is loaded by two transverse forces in its middle. The self-weight is neglected in this example. Determine the maximum deflections of the structure u_y,max and u_z,max, maximum rotation φ_x,max, maximum bending moments M_y,max and M_z,max and maximum torsional moments M_T,max, M_Tpri,max, M_Tsec,max and M_ω,max. 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	0.300	-
Geometry	Beam	Length	L	6.000	m
	Cross-section	Height	h	400.000	mm
		Width	b	180.000	mm
		Web Thickness	s	10.000	mm
		Flange Thickness	t	14.000	mm
Load		Horizontal Force	F_y	3.000	kN
Load		Vertical Force	F_z	194.000	kN

Spatial Bending with Warping

Analytical Solution

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

RFEM and RSTAB Settings

Modeled in RFEM 5.26, RSTAB 8.26 and RFEM 6.01, RSTAB 9.01
The element size is l_FE= 0.025 m
Isotropic linear elastic material model is used
Second-Order Analysis is used
Torsional Warping and Steel Design add-on is used in RFEM 6 and RSTAB 9

Results

Following graphs ilustrate the behaviour of selected deformations and internal forces calculated in RSTAB 9. Maximum values are sorted and compared in result tables.

RSTAB 9 results - deformation uy [mm]

RSTAB 9 results - deformation uz [mm]

RSTAB 9 results - deformation phix [mrad]

RSTAB 9 results - bending moment My [kNm]

RSTAB 9 results - bending moment Mz [kNm]

RSTAB 9 results - torional moment MT [kNm]

RSTAB 9 results - primary torsional moment MTpri [kNm]

RSTAB 9 results - secondary torsional moment MTsec [kNm]

RSTAB 9 results - warping moment Momega [kNm]

Quantity	S3D	RFEM 6	Ratio	RSTAB 9	Ratio
u_y,max [mm]	25.0	26.6	1.064	27.1	1.084
u_z,max [mm]	19.8	20.8	1.051	18.9	0.955
φ_x,max [mrad]	81.0	87.7	1.083	84.1	1.038
M_y,max [kNm]	290.0	289.5	0.998	289.1	0.997
M_z,max [kNm]	-28.0	-30.0	1.071	-28.7	1.025
M_T,max [kNm]	2.38	2.56	1.034	2.45	1.029
M_Tpri,max [kNm]	1.48	1.57	1.061	1.50	1.013
M_Tsec,max [kNm]	1.03	1.21	1.175	1.15	1.117
M_ω,max [kNm]	2.61	2.84	1.088	2.70	1.034

Quantity	S3D	RFEM 5 - RF-FE-LTB	Ratio	RSTAB 8 - FE-LTB	Ratio
u_y,max [mm]	25.0	28.1	1.124	28.1	1.124
u_z,max [mm]	19.8	18.9	0.954	18.9	0.954
φ_x,max [mrad]	81.0	87.8	1.084	87.9	1.084
M_y,max [kNm]	290.0	289.0	0.997	289.0	0.997
M_z,max [kNm]	-28.0	-29.9	1.068	-29.9	1.068
M_T,max [kNm]	2.38	2.54	1.068	2.54	1.068
M_Tpri,max [kNm]	1.48	1.57	1.061	1.57	1.061
M_Tsec,max [kNm]	1.03	1.19	1.155	1.19	1.155
M_ω,max [kNm]	2.61	2.77	1.061	2.78	1.061

421x

10x

Verification Example 0099 | 1

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

Do you have any questions?

Events

2024-04-30

Online Training

RFEM 6 | Students | Introduction to Timber Design

2024-05-02

Construction Stages in Membrane Structures with RFEM 6

Webinar

Construction Stages in Membrane Structures with RFEM 6

2024-05-08

Online Training

RFEM 6 | Students | Introduction to Reinforced Concrete Design

2024-05-08

$Cross-Section Modeling and \n Stress Analysis in RSECTION 1$

Webinar

Cross-Section Modeling and Stress Analysis in RSECTION 1

2024-05-15

Online Training

RFEM 6 | Students | Introduction to Steel Design

2024-05-16

Consideration of Construction Stages in RFEM 6

Webinar

Consideration of Construction Stages in RFEM 6

2024-05-23

Most Frequently Asked Questions Answered by Dlubal Support Team

Webinar

Most Frequently Asked Questions Answered by Dlubal Support Team | May 2024

2024-05-29

$Steel Structures in RFEM 6 \n Part 1: Modeling, Load Input$

Webinar

Modeling and Design of Steel Structures in RFEM 6 | Part 1: Modeling, Load Input

2024-06-06

$Steel Structures in RFEM 6 \n Part 2: Combinations, Design, Documentation$

Webinar

Modeling and Design of Steel Structures in RFEM 6 | Part 2: Combinations, Design, Documentation

2024-06-20

Webinar

Most Frequently Asked Questions Answered by Dlubal Support Team | June 2024

2024-10-16

Online Training

RFEM 6 | Students | Introduction to Member Design

2024-10-23

Online Training

RSECTION 1 | Students | Introduction to Strength of Materials

Videos

Product Feature

Phase Sections in Construction Stages Analysis (CSA) Add-on

Length: 00:00:33 min

Product Feature

Line Hinges for Rigid Links

Length: 00:00:41 min

Product Feature

Punching Shear Design for All Section Shapes

Length: 00:00:45 min

General

Dynamic and Seismic Analysis of Structures | RFEM 6 & RSTAB 9 by Dlubal Software

Length: 00:00:00 min

Event

Webinar | AISC 360-22 Steel Connection Design in RFEM 6

Length: 00:00:00 min

Event

RFEM 6 for Students | Introduction to FEM | Apr 24, 2024

Length: 00:00:00 min

FAQ 005494 | How can I model a timber beam with stiffening on both sides? (splice)

FAQ

FAQ 005494 | How can I model a timber beam with stiffening on both sides? (splice)

Length: 00:01:22 min

Stiffening Design in RFEM 6 Using Building Model

Event

Webinar | Stiffening Design in RFEM 6 Using Building Model

Length: 00:00:00 min

WIN | 04/2024 – What's New in RFEM 6 and RSTAB 9?

General

WIN | 04/2024 – What's New in RFEM 6 and RSTAB 9?

Length: 00:02:00 min

Playlist

Models to Download

421x

10x

Verification Example 0099 | 1

538x

20x

Verification Example 0099 | 2

Model 004869 | Floor Panels for Multi-Story Structure

43x

Floor panels for multi-storey construction

Model 004864 | Steel Structure Connection | AISC 360-22

93x

12x

Steel Structure Connection | AISC 360-22

62x

10x

Multi-storey building

Model 004859 | Steel Structure | AISC 360/341-22

251x

40x

Steel Structure | AISC 360/341-22

79x

Steel Member RSA | ASCE 7 and NBC

3235x

221x

Steel Structure Column Base

179x

Crossing Steel Pipes

Knowledge Base Articles

KB 001880 | Design of Cable Structures in RFEM 6 and RSTAB 9

In this article, you will learn how to model and design cable structures in RFEM 6 or RSTAB 9.

KB 001879 | Influence of Bending Stiffness of Cables

This article describes and explains the influence of bending stiffness of cables on their internal forces. Furthermore, the text provides information on how this influence can be reduced.

KB 001877 | ASCE 7-22 and NBC 2020 Seismic P-Delta Considerations in RFEM 6

The ASCE 7-22 Standard [1], Sect. 12.9.1.6 specifies when P-delta effects should be considered when running a modal response spectrum analysis for seismic design. In the NBC 2020 [2], Sent. 4.1.8.3.8.c gives only a short requirement that sway effects due to the interaction of gravity loads with the deformed structure should be considered. Therefore, there may be situations where second-order effects, also known as P-delta, must be considered when carrying out a seismic analysis.

This article presents the basic concepts in structural dynamics and their role in the seismic design of structures. Great emphasis is given to explaining the technical aspects in an understandable way, so that readers without deep technical knowledge can gain an insight into the subject.

Screenshots

Model 004869 | FFloor Panels for Multi-Story Structure

Model 004867 | Model of Pastry Production and Storage Unit

Deformations of Production Unit Structure | © GH HERVOUET

Model of Pastry Production and Storage Unit | © GH HERVOUET

View of Internal Steel Structure of Pastry Production and Storage Unit | © GH HERVOUET

Exterior View of Pastry Production and Storage Unit | © GH HERVOUET

Timber Structure of Lookout Tower

Product Features

Use the "Independent mesh preferred" option in the FE mesh settings to create an independent FE mesh for the integrated objects. This allows you to generate a significantly more detailed and precise FE mesh for individual objects that are integrated into one another.