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In a comparison between the partial calculation of a single floor and the total calculation of the building, the local deformations are very different. What is the cause?

Answer

First, please note that the local deformations of surfaces are always related to the undeformed system. Therefore, for a multi-storey building, the deformations of the top floor also include the deformations of the lower floors, as shown in Figure 01 on the left.

Figure 01 on the right shows the corresponding bending moment my. As with this simple model, it is identical for the floors. In such a case, the partial calculation of the individual floors is no problem, because the relative deformation seems to be identical for each floor.

However, it becomes problematic if the supporting elements are loaded differently or if the stiffness of the supporting elements within a floor is different. Figure 02 shows the bending moment my of such a system. It can be seen that the distribution, especially between the bottom ceiling and the top floor, shows the greatest differences. In this particular case, internal columns with a less stiff cross-section were added in addition to the corner columns. For this reason, the relative deformation increases more with each additional floor in the middle than at the corner columns.

In reality, this structure will not be available in this way because the floors are manufactured one after the other and thus the deformations (for example due to self-weight) are compensated for the structure from ceiling to floor. Thus, it is a typical structural state problem. Thus, the question arises whether the effects can be neglected or if, for example, For example, you have to analyze the results with the add-on module RF-STAGES.


Keywords

Deformation Building construction Floor Multi-storey Local Deformation Global Deformation Relative deformation

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