Database

0041-A-Eigenvalue analysis of a plate

The example was created by

Dr.-Ing. Roland Sauer, Dr.-Ing. Casimir Katz, Dipl. Ing. (FH) Alexander Meierhofer

and published on 29.04.2022 on

published. You can find it at https://evadat.com/en/bsp/0041/.

It was qualified on 04.04.2024.

Developed by Dr.-Ing. Roland Sauer, Dr.-Ing. Casimir Katz, Dipl. Ing. (FH) Alexander Meierhofer

Published on: 29.04.2022 | Qualified on: 04.04.2024

A0Classification

ClassA · Analytical verification example
Structural system typeSurface structure - plate
MechanicsDynamics - modal analysis
Material lawLinear elastic
MaterialConcrete/reinforced concrete/prestressed concrete
Verification formatDynamic verification

A1Problem description

This section was machine-translated by DeepL.

The system consists of a 0.18 m thick concrete slab measuring 6.0 x 12.0 m. The slab is supported on all four sides so that it cannot move vertically (soft support).
The first six natural frequencies and modes of the plate under its own weight are to be determined.

System	L x W = 12 m x 6 m
Cross-section	d = 0.18 m
Modulus of elasticity	E = 30 × 10³ MPa
Transverse contraction ratio	= 0.2
Elves	G = 25.0 kN/m³

Das System besteht aus einer 0,18 m dicken Betonplatte mit den Abmessungen 6,0 x 12,0 m. Die Platte ist an allen vier Seiten vertikal unverschieblich gestützt (soft support).
Es werden die ersten 6 Eigenfrequenzen und Eigenformen der Platte unter ihrem Eigengewicht gesucht.

System	L x B = 12 m x 6 m
Querschnitt	d = 0,18 m
Elastizitätsmodul	E = 30 x 10³ MPa
Querkontraktionszahl	= 0,2
Wichte	G = 25,0 kN/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] Flesch, R.: Baudynamik: praxisgerecht. Band 1: Berechnungsgrundlagen. Bauverlag. 1993.
[2] Flesch, R.: Baudynamik: praxisgerecht. Band 2: Anwendungen und Beispiele. Bauverlag. 1997.
[3] Prof. Dr. Wandinger, FH Landshut. Elastodynamik 2, Kap. 4. Available online: https://wandinger.userweb.mwn.de/LA_Elastodynamik_2/.

Editors

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

–

Creator

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

TRIMAS (23.0) RIB Software GmbH

Editor 1

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

SOFiSTiK FEA (2022-6) SOFiSTiK AG

Editor 2

Dipl. Ing. (FH) Alexander Meierhofer Dlubal Software GmbH (Tiefenbach, Germany)

RFEM (6.05) Dlubal Software GmbH

Editor 3

Dr.-Ing. Roland Sauer Creator, Editor 1

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (23.0) RIB Software GmbH

Dr.-Ing. Casimir Katz Editor 2

SOFiSTiK AG (Garching, Germany)

Software used: SOFiSTiK FEA (2022-6) SOFiSTiK AG

Dipl. Ing. (FH) Alexander Meierhofer Editor 3

Dlubal Software GmbH (Tiefenbach, Germany)

Software used: RFEM (6.05) Dlubal Software GmbH