Database

0035-A-Non-linear analysis of a curved beam

The example was created by

Dr.-Ing. Roland Sauer, Dr.-Ing. Casimir Katz

and published on 31.01.2022 on

published. You can find it at https://evadat.com/en/bsp/0035/.

Currently it is being edited.

Ein gebogener Träger
Developed by Dr.-Ing. Roland Sauer, Dr.-Ing. Casimir Katz
Published on: 31.01.2022 | Qualified on: -
DE EN
A0Classification
  • ClassA · Analytical verification example
  • Structural system typeBar structure - frame
  • MechanicsStatics - geometrically nonlinear
  • Material lawElastic
  • MaterialGeneral
  • Verification formatStability verification
A1Problem description
Original version

Das ebene System besteht aus einem Bogen, der einseitig eingespannt und am anderen Fußpunkt gelenkig gelagert ist. Auf den Bogen wirkt im Scheitel eine vertikale Punktlast, welche bis zur Verzweigungslast gesteigert wird.

Das Ziel ist, das Verhalten unter großen Verformungen zu untersuchen.

System

Radius

R = 100 cm

Belastung

P = variabel kN

Öffnungswinkel

α = 145°

Querschnitt

h = b = 10 cm

Elastizitätsmodul

E = 1.0 x 105 MPa

Poissonsche Zahl

μ = 0,0

View the complete example

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

Already have an account?

Log in here

Do not have a user account yet?

Register here
A5References
  1. [1] Leahu-Aluas, I.; Abed-Meraim, F.: A proposed set of popular limit-point buckling benchmark problems.. In: Structural Engineering and Mechanics 38(6), 2011.

Additional literature

  • DaDeppo, D.; Schmidt, R.: Instability of clamped-hinged circular arches subjected to a point load.. In: Journal of Applied Mechanics, 1975.
Editors
Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)
–
Creator
Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)
TRIMAS (21.0) RIB Software GmbH
Editor 1
Dr.-Ing. Casimir Katz SOFiSTiK AG (Garching, Germany)
SOFiSTiK FEA (2022-4) SOFiSTiK AG
Editor 2
Dr.-Ing. Roland Sauer Creator, Editor 1

RIB Software GmbH (Stuttgart, Germany)

Software used: TRIMAS (21.0) RIB Software GmbH
Dr.-Ing. Casimir Katz Editor 2

SOFiSTiK AG (Garching, Germany)

Software used: SOFiSTiK FEA (2022-4) SOFiSTiK AG