1. Reference problem#
1.1. Geometry#
P=3 MIN This non-regression test case is the study of a simple geometric structure. The structure analyzed (FIG. 1,1-a) is a square element of unit dimensions (1 meter on a side) represented by plane elements with a side of 0.05 m. It is embedded in the base, a horizontal load equal to 3 MN is applied to one of the corners of the element.
Picture 1.1-1
1.2. Materials#
The reinforced concrete used for plane modeling corresponds to a linear elastic material with the following characteristics for concrete and steel.
Concrete:
Young’s modulus |
\(E\) |
21 GPa |
Poisson’s Ratio |
\(\nu\) |
0.2 |
Elastic limit |
\({f}_{\mathit{cm}}\) |
36 MPa |
Table 1.2-1
Reinforcement steel:
Young’s modulus |
\(E\) |
210 GPa |
Elastic limit |
\({f}_{y}\) |
500 MPa |
Table 1.2-2
1.3. Boundary conditions#
The massif is assumed to have a continuous embedment at the base. The loading is a horizontal force of 3 MN at the head of the plate (see Figure 1.1-a).