1. Reference problem#
1.1. Geometry#
The test case is a metal frame composed of beams and columns.
Coordinates of the main nodes of the mesh:
Point |
Coordinator. \(X\) (in \(m\)) |
Coord. \(Y\) (in \(m\)) |
Coord. \(Z\) (in \(m\)) |
|
\(A\) |
2.0 |
2.5 |
0.0 |
|
\(B\) |
4.0 |
0.0 |
0.0 |
|
\(C\) |
2.0 |
—2.5 |
0.0 |
|
\(D\) |
0.0 |
0.0 |
0.0 |
|
\(E\) |
2.0 |
2.5 |
3.0 |
|
\(F\) |
4.0 |
0.0 |
3.0 |
|
\(G\) |
2.0 |
—2.5 |
3.0 |
|
\(H\) |
0.0 |
0.0 |
0.0 |
3.0 |
\(I\) |
2.0 |
0.0 |
3.0 |
1.2. Mechanical characteristics of beams#
The beams in the test case are standard profiles in metal construction. The units of their mechanical characteristics are homogeneous to meters away.
\(\mathrm{HEA200}\) |
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Beams |
\(\mathrm{BF},\mathrm{DH}\) |
|
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|
|
\(A\) |
5.39E—03 |
3.34E—03 |
3.34E—03 |
2.01E—03 |
3.14E—03 |
1.32E—03 |
\(\mathrm{IY}\) |
3.69E—05 |
2.77E—05 |
2.77E—05 |
8.70E—06 |
1.03E—05 |
3.18E—06 |
\(\mathrm{IZ}\) |
1.34E—05 |
2.05E—06 |
2.05E—06 |
6.83E—07 |
3.89E—06 |
2.77E—07 |
\(\mathrm{AY}\) |
1.474994 |
1.789865 |
1.789865 |
1.792884 |
1.464032 |
1.774392 |
\(\mathrm{AZ}\) |
4.466038 |
2.633754 |
2.633754 |
2.586199 |
4.464173 |
2.590182 |
\(\mathrm{JX}\) |
1.97E—07 |
8.66E—08 |
8.66E—08 |
3.37E—08 |
7.76E—08 |
1.63E—08 |
\(\mathrm{JG}\) |
1.06E—07 |
2.23E—08 |
2.23E—08 |
3.89E—09 |
1.47E—08 |
8.73E—10 |
The sizes \(\mathrm{EY}\), \(\mathrm{EZ}\), \(\mathrm{IYR2}\), \(\mathrm{IZR2}\) are zero for all the beams.
1.3. Material properties#
Only one material is used:
Young \(2.10e+11\mathrm{Pa}\)
Rho \(7.85e+03\mathrm{kg}/{m}^{3}\)
1.4. Boundary conditions#
Points \(A,B,C,D\) are embedded.
\(\mathrm{DX}=0\) |
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