Standards-based verification example

Im nachfolgenden Beispiel wird die gesamte aufzunehmende Querkraft als Durchstanzkraft VEd an einem Stahlbetonwandende ermittelt. Die Durchstanzlast entsteht durch die flächige Belastung von 10 kN/m² einer Stahlbetondecke mit der Stärke von 30 cm. Die Geometrie der Deckenplatte mit vier freien Rändern ist in dargestellt. Anhand dieses Beispiels soll überprüft werden, wie weit die Ergebnisse der unterschiedlichen Softwares von dem händischen Ergebnis nach der Norm DIN EN 1992-1-1/NA:2013-04 entfernt liegen.

Analytical verification example

Fig. A1-1The simple plate system outlined above (edge lengths = 1 m, acute angle = 30 degrees) was investigated with a surface load in the z-direction of p = -0.7 \mathrm{kN/m^2} was investigated, taking into account an isotropic material (steel) with a modulus of elasticity of 210*10³ \mathrm{MN/m^2} and a Poisson’s ratio of 0.3. The thickness is 10 mm, and the plate is hinged at all four corners in the vertical direction.The problem is to find the maximum principal stress on the underside of the plate at point m (the centre of the plate).

Analytical verification example

Fig. A1-1gk1 = 10.0 kN/m²qk1 = 7.5 kN/m² OfficeQk2 = 5.0 kN/m snowFor the system shown above, the stability analysis is to be carried out and the support moment at the ultimate limit state above column B is to be determined. The load combination is to be carried out in accordance with the standard, taking into account the partial safety factors and combination factors.

Analytical verification example

In the following example, the moment and shear force distributions of a uniaxially stressed solid slab spanning two spans are determined. A freely rotating support is assumed. The loads consist of the dead load gd = 8.5\,\mathrm{kN/m^2} and a live load qd = 7.5\,\mathrm{kN/m^2} acting across each span.The internal forces are calculated for 3 different load combinations:LC1: gd + (qd in spans 1 and 2)LC2: gd + (qd in bay 1)LC3: gd + (qd in bay 2)A span of 5 m and 4 m is assumed for the two fields respectively. The slab thickness is 0.19 m. The geometry of the solid slab is shown in the…

Numerical verification example

In the following example, the stresses in the sections of a wall are determined under a constant load. The purpose of this example is to check whether the software programmes used are capable of calculating the stresses in accordance with section theory.The wall slab under consideration has a length of l = 5.52 m, a height of h = 1.20 m and a thickness of d = 0.1 m. The wall slab is supported at two points: Point A is supported both horizontally and vertically, whilst point B is supported only vertically. The support stresses are denoted by f1, f2 and f3. A constant uniform load of p = 20 kN/m…

Numerical verification example

When determining the stresses and strains in a glass plate, two different results are obtained depending on whether linear or non-linear plate theory is used. This is due to the strains being relatively large in relation to the plate thickness. The validity of linear plate theory is therefore lost. Diaphragm forces arise within the plate, which have a favourable effect on the stresses and strains.This example is intended to verify whether the software programmes used are capable of determining the maximum principal tensile stress and deflection at the centre of a glass plate in accordance with…