Database

0014-A-Truss

The example was created by

Dr.-Ing. Casimir Katz, M.Eng. Walter Rustler, Dr.-Ing. Roland Sauer

and published on 23.04.2018 on

published. You can find it at https://evadat.com/en/bsp/0014/.

It was qualified on 11.03.2019.

Developed by Dr.-Ing. Casimir Katz, M.Eng. Walter Rustler, Dr.-Ing. Roland Sauer

Published on: 23.04.2018 | Qualified on: 11.03.2019

A0Classification

ClassA · Analytical verification example
Structural system typeSurface structure (general)
MechanicsStatics - stability problem
Material lawElastic
MaterialGeneral
Verification formatStability verification

A1Problem description

This section was machine-translated by DeepL.

The problem of a truss is a fundamental test for geometrically non-linear effects. A slightly over-cambered system comprising two truss members is subjected to a transverse load. There is an initial buckling load and pronounced post-buckling behaviour.

In one symmetrical half, one end of an inclined truss member is fixed. At the other end, the node can move freely in the direction of the load.

The particular challenge arises in a load-controlled analysis.

The parameters are:

Parameter	E [MPa]	H [mm]	L [mm]	A [mm²]
Value	500,000	25	2,500	100

Das Problem eines Sprengwerks ist ein fundamentaler Test für geometrisch nichtlineare Effekte. Ein leicht überhöhtes System mit zwei Fachwerkstäben wird quer belastet. Es gibt eine erste Verzweigungslast und ein ausgeprägtes Nachbeulverhalten.

In einer symmetrischen Hälfte wird das eine Ende eines geneigten Fachwerkstabs unverschieblich gelagert. Am anderen Ende kann sich der Knoten in Lastrichtung frei bewegen.

Die besondere Herausforderung ergibt sich bei einer lastgesteuerten Berechnung.

Die Parameter sind:

Parameter	E [MPa]	H [mm]	L [mm]	A [mm²]
Wert	500 000	25	2500	100

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A5References

Additional literature

A. A. Becker: Background to Finite Element Analysis of Geometric Non-linearity Benchmarks. NAFEMS. 1998.
Crisfield, M.: Non-linear Finite Element Analysis of Solids and Structures. John Wiley. 1991.

Editors

Dr.-Ing. Casimir Katz SOFiSTiK AG (Garching, Germany)

–

Creator

Dr.-Ing. Casimir Katz SOFiSTiK AG (Garching, Germany)

SOFiSTiK FEA (2018-4) SOFiSTiK AG

Editor 1

M.Eng. Walter Rustler Dlubal Software GmbH (Tiefenbach, Germany)

RFEM (5.14.04) Dlubal Software GmbH

Editor 2

Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)

TRIMAS (V18.0 28112018) RIB Software GmbH

Editor 3

Dr.-Ing. Casimir Katz Creator, Editor 1

SOFiSTiK AG (Garching, Germany)

Software used: SOFiSTiK FEA (2018-4) SOFiSTiK AG

M.Eng. Walter Rustler Editor 2

Dlubal Software GmbH (Tiefenbach, Germany)

Software used: RFEM (5.14.04) Dlubal Software GmbH

Dr.-Ing. Roland Sauer Editor 3

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (V18.0 28112018) RIB Software GmbH