Database

0026-A-Natural frequency of a frame

The example was created by

Martin Hüttich, Dr.-Ing. Roland Sauer, Dr.-Ing. Elisa Lafuente

and published on 17.10.2018 on

published. You can find it at https://evadat.com/en/bsp/0026/.

It was qualified on 07.03.2019.

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Developed by Martin Hüttich, Dr.-Ing. Roland Sauer, Dr.-Ing. Elisa Lafuente
Published on: 17.10.2018 | Qualified on: 07.03.2019
A0Classification
  • ClassA · Analytical verification example
  • Structural system typeBar structure - frame
  • MechanicsDynamics - frequency domain
  • Material lawLinear elastic
  • MaterialConcrete/reinforced concrete/prestressed concrete
  • Verification formatDynamic verification
A1Problem description
This section was machine-translated by DeepL.

Below, we have calculated the natural frequency of a two-hinged frame. It is 5 m wide, 3 m high and has a strength class of C 30/37. The posts have dimensions b/h = 26/26 cm and the transom has dimensions b/h = 30/30 cm. The density is 2500 kg/m³.

The calculations are carried out using the ‘Lanczos method’ and without mass-proportional or stiffness-proportional damping. Furthermore, the quadrilateral elements were generated using the mesh generator and linear spline functions were employed.

Both the first symmetric and the first asymmetric natural frequencies are output.

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A5References

Additional literature

  • Pilkey, W. D.: Formulas for Stress, Strain, and Structural Matrices. John Wiley & Sons. 2004.
Editors
Martin Hüttich Ed. Züblin AG (Stuttgart, Germany)
–
Creator
Martin Hüttich Ed. Züblin AG (Stuttgart, Germany)
SOFiSTiK FEA (5.2.0) SOFiSTiK AG
Editor 1
Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)
TRIMAS (V18.0 04102018) RIB Software GmbH
Editor 2
Dr.-Ing. Elisa Lafuente Krätzig & Partner Ingenieurgesellschaft für Bautechnik mbH (Bochum, Germany)
RFEM (5.17.02) Dlubal Software GmbH
Editor 3
Martin Hüttich Creator, Editor 1

Ed. Züblin AG (Stuttgart, Germany)

Software used: SOFiSTiK FEA (5.2.0) SOFiSTiK AG
Dr.-Ing. Roland Sauer Editor 2

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (V18.0 04102018) RIB Software GmbH
Dr.-Ing. Elisa Lafuente Editor 3

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

Software used: RFEM (5.17.02) Dlubal Software GmbH