5.20 Study

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The slab in Fig. 5.61 a was analyzed with two different FE programs

(SOFiSTiK and Nemetschek) and a BE program [24].

The agreement between the results is very good; see Figs. 5.62, 5.63, 5.64.

Both FE programs used Reissner–Mindlin elements, although the elements

themselves were not identical. The BE solution is based on Kirchhoff’s plate

theory. That the Kirchhoff results agree so well with the Reissner–Mindlin results

demonstrates how small the difference is between the two plate theories,

as long as slabs of normal thickness are considered. Reissner–Mindlin plate

elements essentially behave like Kirchhoff plate elements if shear deformations

are negligible. The quality of the shear forces is also surprisingly good; see Fig.

5.65.