Cross-sectional analysis

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Analysis for cross-sections of reinforced or prestressed concrete
(ultimate limit state, deformation state,
center of gravity,shear center,stiffnesses,etc.)

For polygonally bounded cross-sections of reinforced or prestressed concrete, which can be loaded with uniaxial or biaxial bending moments and additional normal force, the ultimate limit state and subsequently the load-dependent deformation state are determined. In addition, the known formulas of elastomechanics are used to calculate both the cross-sectional values of the pure concrete cross-section and those of the ideal cross-section, in each case for the unloaded cross-section, as well as the realistic cross-sectional values and stiffnesses belonging to the load-dependent deformation state.

The basics

The basics of the calculation methods used here for the cross-section values for bending and torsion are summarized in the user manual. In principle, calculations are possible for all polygonally bounded cross-section shapes, including hollow cross-sections. Only the calculation for the torsion values is limited to quadrilateral, T and I cross-sections. If you enter a separate torsional reinforcement that is not part of the bending reinforcement, the torsional stiffness of the reinforcement cage is determined.
Material specifications and safety concept are preset for the standards DIN EN 1992-1-1/NA:2011-01 with DAfStb booklet 600 "Explanations on DIN EN 1992-1-1", DIN 1045-1:2008-08 with DAfStb booklet 525 "Explanations on DIN 1045-1" or DIN 1045:1988-07, or DIN 4227:1988-07 and can be selected. It is also possible to enter material specifications, which correspond to the form specified in the standards and are described with the parameters of the standards, externally via the data file into the program.
Via a control variable, individual points of the program can be specifically controlled, so that the complete calculation path does not always have to be run through.


Program development

The program QUERWERT was developed in parallel to the programs KIPPEN and KIPNT2. It was and still is mainly used to develop and optimize the necessary iteration sequences for the determination of the edge distortions for a given load on the cross-section. The QUERWERT program offers the possibility of carrying out a cross-section analysis quite specifically within the load variation at a certain point of the beam under consideration, without always having to run through the entire loading process. The most important subroutines for entering the cross-section geometry and the material specifications, as well as for determining the realistic cross-section values of reinforced and prestressed concrete cross-sections and for checking the ultimate limit state (LTS) are the same in all three programs.

The QUERWERT calculation program

The QUERWERT calculation program has been prepared for practical use with a detailed user manual and the additional EIN_NT2QUW program for creating the input file.
The QUERWERT program runs under all Windows operating systems from Windows XP. The required software is supplied with the program. Further details can be found in the installation instructions.

Example of a prestressed cross section

Calculation results

Concrete material behavior
Calculated concrete pressure hull


commented result printout of the example see user manual page 18-25