Database

0034-A-Eigenvalue analysis of a beam

The example was created by

Dr.-Ing. Roland Sauer, Mina Nageeb, Maximilian Osterkamp, Dr.-Ing. Casimir Katz

and published on 21.01.2022 on

published. You can find it at https://evadat.com/en/bsp/0034/.

It was qualified on 09.03.2023.

Developed by Dr.-Ing. Roland Sauer, Mina Nageeb, Maximilian Osterkamp, Dr.-Ing. Casimir Katz

Published on: 21.01.2022 | Qualified on: 09.03.2023

A0Classification

ClassA · Analytical verification example
Structural system typeBar structure - beam
MechanicsDynamics - modal analysis
Material lawLinear elastic
MaterialOther materials
Verification formatDynamic verification

A1Problem description

This section was machine-translated by DeepL.

For a beam with a square cross-section and hinged supports at both ends, the natural frequencies and natural modes of the first 10 modes are to be determined.

Beam length	L = 4.0 m
Cross-section	h = b = 0.3 m
Modulus of elasticity	E = 2.1 × 10⁵ MPa
Transverse contraction coefficient	= 0.3
Weight	= 7,850 kg/m³

View the complete example

To view the reference solution, the editors' results and the evaluation, please log in.

Already have an account?

Do not have a user account yet?

A5References

[1] Eibl, J.; Häußler-Combe, U.: Baudynamik. In: Prof. Dipl.-Ing. DDr. Konrad Bergmeister: Betonkalender, Band II. Berlin: Ernst & Sohn. 1997.
[2] Hartmann, F.; Katz, C.: Statik mit finiten Elementen. Berlin: Springer. 2019. ISBN 978-3-662-58924-3.
[3] Petersen, C.: Dynamik der Baukonstruktionen. Braunschweig: Vieweg. 1996. ISBN 3-528-08123-6.

Editors

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

–

Creator

Mina Nageeb RIB Software GmbH (Stuttgart, Germany)

TRIMAS (22.0) RIB Software GmbH

Editor 1

Maximilian Osterkamp Bergische Universität Wuppertal / Baumechanik und Numerische Methoden (Wuppertal, Germany)

SAP2000 (20.2.0) Computers and Structures, Inc.

Editor 2

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

SOFiSTiK FEA (2023-0) SOFiSTiK AG

Editor 3

Dr.-Ing. Roland Sauer Creator

RIB Software GmbH (Stuttgart, Germany)

Software used: –

Mina Nageeb Editor 1

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (22.0) RIB Software GmbH

Maximilian Osterkamp Editor 2

Bergische Universität Wuppertal / Baumechanik und Numerische Methoden (Wuppertal, Germany)

Software used: SAP2000 (20.2.0) Computers and Structures, Inc.

Dr.-Ing. Casimir Katz Editor 3

SOFiSTiK AG (Garching, Germany)

Software used: SOFiSTiK FEA (2023-0) SOFiSTiK AG

Balkenlänge	L = 4.0 m
Querschnitt	h = b = 0.3 m
Elastizitätsmodul	E = 2.1 x 10⁵ MPa
Querkontraktionszahl	= 0,3
Gewicht	= 7850 kg/m³