This example shows the difference of using different integration methods and a different number of integration points on the result. For this purpose, a three-layer, point-supported plate with a length of 5 m and a width of 2 m is analyzed. It consists of an orthotropic, plastic material, comparable to cross-laminated timber.
A load of 25 kN is applied to the plate. The target length of the finite elements is 0.1 m, with additional mesh refinement provided at the nodal support of the free edge.
Calculations using different integration methods and different numbers of integration points give the following results for the mid-span of the plate (Grid Point 28):
Overall, the results are comparable. However, there are noticeable deviations with the trapezoidal rule, especially with a small number of integration points.