Database

0012-B-Cantilever with end moment

The example was created by

Dr.-Ing. Elisa Lafuente, Dr.-Ing. Roland Sauer, M.Eng. Walter Rustler

and published on 20.04.2018 on

published. You can find it at https://evadat.com/en/bsp/0012/.

It was qualified on 26.09.2018.

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Developed by Dr.-Ing. Elisa Lafuente, Dr.-Ing. Roland Sauer, M.Eng. Walter Rustler
Published on: 20.04.2018 | Qualified on: 26.09.2018
DE EN
B0Classification
  • ClassB · Numerical verification example
  • Structural system typeBar structure - beam
  • MechanicsStatics - third-order theory
  • Material lawLinear elastic
  • MaterialGeneral
  • Verification formatDeformation verification
B1Problem description
This section was machine-translated by DeepL.

A bending moment is applied to the end of the cantilever. When the load is increased to ML/2πEI=1.0, significant displacements and rotations occur in a geometrically non-linear analysis. Deformations are only possible in the XY plane. Deformations at the free end of the cantilever must be determined.

20210423_p1.png
Fig. B1-1: System

Material: linearly elastic; modulus of elasticity = 210,000 MPa; Poisson’s ratio = 0.0

Conditions: All degrees of freedom fixed at the supports

Load: ML/2πEI = 1.0

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B5References
  1. [1] NAFEMS: Test NL5 from NAFEMS Publication NNB, Rev. 1, “NAFEMS Non-Linear Benchmarks”. Oktober. 1989.
  2. [2] Gruttmann, F.; Sauer, R.; Wagner, W.: A geometrical nonlinear eccentric 3D-beam element with arbitrary cross-sections. In: Computer Methods in Applied Mechanics and Engineering 160, 1998.
Editors
Dr.-Ing. Elisa Lafuente Krätzig & Partner Ingenieurgesellschaft für Bautechnik mbH (Bochum, Germany)
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Creator
Dr.-Ing. Elisa Lafuente Krätzig & Partner Ingenieurgesellschaft für Bautechnik mbH (Bochum, Germany)
SOFiSTiK FEA (2016-13) SOFiSTiK AG
Editor 1
Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)
TRIMAS (V18.0 10042018) RIB Software GmbH
Editor 2
M.Eng. Walter Rustler Dlubal Software GmbH (Tiefenbach, Germany)
RFEM (5.14.03) Dlubal Software GmbH
Editor 3
Dr.-Ing. Elisa Lafuente Creator, Editor 1

Krätzig & Partner Ingenieurgesellschaft für Bautechnik mbH (Bochum, Germany)

Software used: SOFiSTiK FEA (2016-13) SOFiSTiK AG
Dr.-Ing. Roland Sauer Editor 2

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (V18.0 10042018) RIB Software GmbH
M.Eng. Walter Rustler Editor 3

Dlubal Software GmbH (Tiefenbach, Germany)

Software used: RFEM (5.14.03) Dlubal Software GmbH