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0001-A-VDI 6201-Plate with a circular hole

An example by the working group VDI 6201 Softwaregestützte Tragwerksberechnung

Reproduced with permission of the Association of German Engineers (Verein Deutscher Ingenieure e.V.) - This example is taken from standard VDI 6201 Part 2 - Annex.

The example was created by

VDI 6201

and published on 28.06.2017 on

published. You can find it at https://evadat.com/en/bsp/0001/.

It was qualified on 14.03.2018.

20210421_image2017-6-29_13-18-5.png
Developed by VDI 6201
Published on: 28.06.2017 | Qualified on: 14.03.2018
DE EN
A0Classification
  • ClassA · Analytical verification example
  • Structural system typeSurface structure - wall/disc
  • MechanicsStatics - first-order theory
  • Material lawLinear elastic
  • MaterialSteel
  • Verification formatStress verification

Reproduced with permission of the Association of German Engineers (Verein Deutscher Ingenieure e.V.) - This example is taken from standard VDI 6201 Part 2 - Annex.

A1Problem description
This section was machine-translated by DeepL.

A plate with a circular hole (see Fig. A1-1 and Tab. A1-1) at its centre is subjected to a constant line load p at the ends of the plate. The system is therefore in equilibrium. The structural model is shown in Fig. A1-1.

The task is to determine the maximum stress peak σxx,A (point A) at the edge of the hole, assuming a plane stress state.

20210421_image2017-6-29_13-18-5.png
Fig. A1-1: Plate with a hole

The parameters of the plate are described in Tab. A1-1.

Tab. A1-1: Plate parameters

Dimensions

L = 1.50 m
D = 0.50 m
d = 0.20 m
h = 0.15 m
t = 0.01 m

Strain parameters

E = 2.1 × 10⁵ MPa
ν = 0.30

Compressive stress

p = 20.0 kN/m

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A5References
  1. [1] Pilkey, W. D.: Formulas for Stress, Strain and Structural Matrices. Chichester: Wiley & Sons. 1994.
  2. [2] Petersen, C.: Stahlbau. Grundlagen der Berechnung und baulichen Ausbildung von Stahlbauten. Braunschweig/Wiesbaden: Springer Vieweg. 2013.
  3. [3] Bletzinger, K.; Bischoff, M.; Ramm, E.: A unified approach for shear-locking-free triangular and rectangular shell finite elements. In: Computers & Structures 75, 2000.
  4. [4] Bletzinger, K.; Bischoff, M.: Stabilized DSG plate and shell elements. In: Wall, W.A.; Bletzinger, K.-U.: Trends in computational structural mechanics. Conf. Proc., Lake Constance: CIMNE, Barcelona. 2001.
Editors
VDI 6201 Verein Deutscher Ingenieure e.V. (Düsseldorf, Germany)
–
Creator
VDI 6201 Verein Deutscher Ingenieure e.V. (Düsseldorf, Germany)
Diverse
Editor 1
VDI 6201 Creator, Editor 1

Verein Deutscher Ingenieure e.V. (Düsseldorf, Germany)

Software used: Diverse