4. Results of modeling A#
4.1. Tested values#
4.1.1. Linear density of normal force on the vertical section of the concrete plate#
The values extracted from field SIEF_ELNO from STAT_NON_LINE are compared to the theoretical reference values. Extraction is done on mesh \(\mathit{QD001001}\) representing the concrete plate.
The component that the tests focus on is \(\mathit{NXX}\).
The tolerance for relative deviation from the reference is 10—6%.
Node |
Reference Value |
Tolerance |
NB001001 |
—9.99125765.104N/m |
—4.43.10— 11% |
NB001002 |
—9.99125765.104N/m |
—4.43.10— 11% |
NB002001 |
—9.99125765.104N/m |
—4.43.10— 11% |
NB002002 |
—9.99125765.104N/m |
—4.43.10— 11% |
4.1.2. Horizontal displacement of the nodes of the concrete plate#
The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values.
The component that the tests focus on is \(\mathit{DX}\).
The tolerance for relative deviation from the reference is 10—6%.
Node |
Reference Value |
Tolerance |
NB001002 |
—1,11013974.10—5m |
—1,05.10— 9% |
NB002002 |
—1,11013974.10—5m |
—1,05.10— 9% |
4.1.3. Normal force in the cable#
The values extracted from field SIEF_ELNO from STAT_NON_LINE are compared to the theoretical reference values. The extraction is done on the \(\mathit{SG001001}\) mesh for the \(\mathit{NC001001}\) node, \(\mathit{SG001002}\) for the \(\mathit{NC001002}\) node, for the node, \(\mathit{SG001003}\) for the \(\mathit{NC001003}\) node, and \(\mathit{SG001004}\) for the nodes \(\mathit{NC001004}\) and \(\mathit{NC001005}\).
The component that the tests focus on is \(N\).
The tolerance for relative deviation from the reference is 10—6%.
Node |
Reference Value |
Tolerance |
\(\mathit{NC001001}\) |
1,99825153.105N |
—4,44.10— 11% |
\(\mathit{NC001002}\) |
1,99825153.105N |
—4,44.10— 11% |
\(\mathit{NC001003}\) |
1,99825153.105N |
—4,44.10— 11% |
\(\mathit{NC001004}\) |
1,99825153.105N |
—4,44.10— 11% |
\(\mathit{NC001005}\) |
1,99825153.105N |
—4,44.10— 11% |
4.1.4. Horizontal displacement of cable nodes#
The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values.
The component that the tests focus on is \(\mathit{DX}\).
The tolerance for relative deviation from the reference is 10—6%.
Node |
Reference Value |
Tolerance |
NC001002 |
—2,77534935.10—6m |
—1,05.10— 9% |
NC001003 |
—5,55069869.10—6m |
7,56.10— 10% |
NC001004 |
—8,32604804.10—6m |
1,56.10— 10% |
NC001005 |
—1,11013974.10—5m |
—1,05.10— 9% |
4.2. notes#
The calculated values actually correspond to those theoretically expected. A state of compression is indeed obtained for the concrete plate.
An infinitesimal difference is observed between the horizontal displacement at node \(\mathit{NC001005}\) belonging to the cable and the horizontal displacement at nodes \(\mathit{NB001002}\) and \(\mathit{NB002002}\) of the concrete plate. The values recorded should be the same, but the rounding errors appearing in the coefficients of the kinematic relationships explain this infinitesimal difference.