Database

0016-A-Buckling stability of a single-hip frame

The example was created by

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

and published on 24.04.2018 on

published. You can find it at https://evadat.com/en/bsp/0016/.

It was qualified on 12.03.2019.

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Developed by Dr.-Ing. Elisa Lafuente, Dr.-Ing. Roland Sauer, M.Eng. Walter Rustler
Published on: 24.04.2018 | Qualified on: 12.03.2019
DE EN
A0Classification
  • ClassA · Analytical verification example
  • Structural system typeBar structure (general)
  • MechanicsStatics - third-order theory
  • Material lawLinear elastic
  • MaterialGeneral
  • Verification formatDeformation verification
A1Problem description
This section was machine-translated by DeepL.

The two-dimensional frame system is subjected to a point load at A. As the point load increases, the system deforms progressively until stability problems arise. The aim of this example is to calculate the load-deflection behaviour of the system until the buckling point is reached. Deflections are only possible in the XY plane.

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Material: linearly elastic; modulus of elasticity = 71,740 MPa; coefficient of elasticity = 0.0

Support conditions: ux = uy = 0 at B and C

Load: P = 1.0 kN

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A5References
  1. [1] Lee, S-L.; Manuel, F.S.; Rossow, E.C.: Large deflections and stability of elastic frames. In: Journal of Engineering Mechanics (ASCE) 94(EM2), 1968.
  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.

Additional literature

  • NAFEMS: Test NL7 from NAFEMS Publication NNB, Rev. 1, “NAFEMS Non-Linear Benchmarks”. Oktober. 1989.
Editors
Dr.-Ing. Elisa Lafuente Krätzig & Partner Ingenieurgesellschaft für Bautechnik mbH (Bochum, Germany)
–
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