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.