Database

0037-D-DBV-AK Software-Design of a flat slab in accordance with DIN EN 1992-1-1, including NA Part 2: Punch-through

An example by the working group DBV-Arbeitskreis Software für Baustatik

The example was created by

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

and published on 28.03.2022 on

published. You can find it at https://evadat.com/en/bsp/0037/.

It was qualified on 10.10.2022.

title-image.png
Developed by Dipl. Ing. (FH) Alexander Meierhofer, Dr.-Ing. Roland Sauer, Dr.-Ing. Casimir Katz, Bert Ziems
Published on: 28.03.2022 | Qualified on: 10.10.2022
DE EN
D0Classification
  • ClassD · Standards-based verification example
  • Structural system typeSurface structure - plate
  • MechanicsStatics
  • Material lawLinear elastic
  • MaterialConcrete/reinforced concrete/prestressed concrete
  • Verification formatUltimate limit state verification
  • StandardDIN EN 1992
D1Problem description
This section was machine-translated by DeepL.

D1.1Task description

Here is the problem from the DBV collection of examples [1], Example 4: Based on a point-supported slab. The slab internal forces and the required longitudinal reinforcement are covered in EvaDAT Example 0036. For this reason, a detailed problem statement and a repeat of the boundary conditions for the FEM analysis are omitted here; please refer to Example 0036 in this regard:

In this example, the punching point on the B/2 axis is examined.
The punching shear analysis is carried out, on the one hand, using the load calculated manually from the load application areas from [1] and, secondly, using the bearing force from the FEM calculation (see Example 0036).

D1.2Theoretical foundations

The punching shear analysis is carried out in accordance with DIN EN 1992-1-1, Section 6.4.

D1.3System

In Fig. D1-1 the dimensions of the point-supported floor slab are shown

20220325_System.png
Fig. D1-1: System - Source: [1]

Concrete cover:
Due to exposure class XC1, a concrete cover of cnom = 20 mm is required. This results in a laying dimension of

cv,Office = 20 mm
for the hangers and
cv,l = 30 mm
for the longitudinal reinforcement

For the punching shear analysis, there must be longitudinal reinforcement on the upper face of the slab in both directions, spaced at 31.42 cm intervals2/m should be applied.

D1.4Material

Building materials:

Concrete
C35/45
Reinforcing steel
B 500 S (B)

D1.5Effects

To simplify the calculation of support loads, in [1] a full load of 14.67 kN/m2 scheduled.
ed = 14.67 kN/m2

The load increase factor β, which takes account of the non-rotationally symmetric distribution of shear forces, is determined as described in the reference [1] using the value for internal supports from Figure 6.21DE [2] β = 1.10 was assumed for both punching shear calculations.

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D5References
  1. [1] Deutscher Beton- und Bautechnik-Verein e. V.: Beispiele zur Bemessung nach Eurocode 2. Band 1: Hochbau. Berlin: Ernst & Sohn. 2011. ISBN 978-3-433-01877-4.
  2. [2] DIN Deutsches Institut für Normung e. V.: DIN EN 1992-1-1/NA:2013-04: Nationaler Anhang - National festgelegte Parameter - Bemessung und Konstruktion von Stahlbeton- und Spannbetontragwerken - Teil 1-1-: Allgemeine Bemessungsregeln und Regeln für den Hochbau mit DIN EN 1992-1-1/NA/A1/:2015-12: A1-Änderung. 2013.
Editors
Dipl. Ing. (FH) Alexander Meierhofer Dlubal Software GmbH (Tiefenbach, Germany)
–
Creator
Dipl. Ing. (FH) Alexander Meierhofer Dlubal Software GmbH (Tiefenbach, Germany)
RFEM (6.02) Dlubal Software GmbH
Editor 1
Dr.-Ing. Roland Sauer RIB Software GmbH (Stuttgart, Germany)
iTWO structure fem (22.8) RIB Software GmbH
Editor 2
Dr.-Ing. Casimir Katz SOFiSTiK AG (Garching, Germany)
SOFiSTiK FEA (2023-0) SOFiSTiK AG
Editor 3
Bert Ziems FRILO Software GmbH (Stuttgart, Germany)
B6+ Durchstanzen (02/22B) FRILO Software GmbH
Editor 4
Dipl. Ing. (FH) Alexander Meierhofer Creator, Editor 1

Dlubal Software GmbH (Tiefenbach, Germany)

Software used: RFEM (6.02) Dlubal Software GmbH
Dr.-Ing. Roland Sauer Editor 2

RIB Software GmbH (Stuttgart, Germany)

Software used: iTWO structure fem (22.8) RIB Software GmbH
Dr.-Ing. Casimir Katz Editor 3

SOFiSTiK AG (Garching, Germany)

Software used: SOFiSTiK FEA (2023-0) SOFiSTiK AG
Bert Ziems Editor 4

FRILO Software GmbH (Stuttgart, Germany)

Software used: B6+ Durchstanzen (02/22B) FRILO Software GmbH