4. B modeling#

4.1. Characteristics of modeling#

The characteristics of B modeling are the same as A modeling, except that the cable is modeled by 30 elements CABLE_GAINE with the adherent case of the CABLE_GAINE_FROT law (TYPE_ “ADHERENT”).

The cable meshes are SEG3.

4.2. Calculation steps and functionalities tested#

The steps are the same as for modeling A. All features are tested with CABLE_GAINE elements.

4.3. B modeling results#

4.3.1. Displacements of the girder nodes#

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values. The tolerance for relative deviation from the reference is equal to:

  • 3% for node \(\mathrm{NB010527}\);

  • 1% for the nodes \(\mathrm{NB030127}\), \(\mathrm{NB050127}\), and \(\mathrm{NB050527}\);

  • 0.1% for the other nodes.

Node

Component

Reference Value

Tolerance (%)

NB010105

DX

—2,298342.10—4m

\(\mathrm{1,0}\)

NB010305

DX

—1,237569.10—4m

\(\mathrm{1,0}\)

NB010505

DX

—1,767956.10—5m

\(\mathrm{1,0}\)

NB030105

DX

—1,502762.10—4m

\(\mathrm{1,0}\)

NB030305

DX

—4,419890.10—5m

\(\mathrm{1,0}\)

NB030305

DY

—7,955801.10—5m

\(\mathrm{1,0}\)

NB030305

DZ

—1,060773.10—4m

\(\mathrm{1,0}\)

NB030505

DX

+6,187845.10—5m

\(\mathrm{1,0}\)

NB050105

DX

—7,071823.10—5m

\(\mathrm{1,0}\)

NB050305

DX

+3,535912.10—5m

\(\mathrm{1,0}\)

NB050505

DX

+1.414365.10—4m

\(\mathrm{1,0}\)

NB010116

DX

—8,618785.10—4m

\(\mathrm{1,0}\)

NB010316

DX

—4,640884.10—4m

\(\mathrm{1,0}\)

NB010516

DX

—6,629834.10—5m

\(\mathrm{1,0}\)

NB030116

DX

—5,635359.10—4m

\(\mathrm{1,0}\)

NB030316

DX

—1,657459.10—4m

\(\mathrm{1,0}\)

NB030316

DY

—1,118785.10—3m

\(\mathrm{1,0}\)

NB030316

DZ

—1,491713.10—3m

\(\mathrm{1,0}\)

NB030516

DX

+2,320442.10—4m

\(\mathrm{1,0}\)

NB050116

DX

—2,651934.10—4m

\(\mathrm{1,0}\)

NB050316

DX

+1,325967.10—4m

\(\mathrm{1,0}\)

NB050516

DX

+5,303867.10—4m

\(\mathrm{1,0}\)

NB010127

DX

—1,493923.10—3m

\(\mathrm{1,0}\)

NB010327

DX

—8,044199.10—4m

\(\mathrm{1,0}\)

NB010527

DX

—1,149171.10—4m

\(\mathrm{3,0}\)

NB030127

DX

—9,767956.10—4m

\(\mathrm{1,0}\)

NB030327

DX

—2,872928.10—4m

\(\mathrm{1,0}\)

NB030327

DY

—3,361326.10—3m

\(\mathrm{1,0}\)

NB030327

DZ

—4,481768.10—3m

\(\mathrm{1,0}\)

NB030527

DX

+4.022099.10—4m

\(\mathrm{1,0}\)

NB050127

DX

—4,596685.10—4m

\(\mathrm{1,0}\)

NB050327

DX

+2,298343.10—4m

\(\mathrm{1,0}\)

NB050527

DX

+9,193370.10—4m

\(\mathrm{1,0}\)

4.3.2. Displacements of the nodes of the prestress cable#

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values. The tolerance for relative deviation from the reference is equal to:

  • 1% for node \(\mathrm{NC000031}\), component \(\mathrm{DZ}\);

  • 0.1% for the other nodes.

Node

Component

Reference Value

Tolerance (%)

NC000006

DY

—1,243094.10—4m

\(\mathrm{1,0}\)

NC000006

DZ

—1,657459.10—4m

\(\mathrm{1,0}\)

NC000011

DY

—4,972376.10—4m

\(\mathrm{1,0}\)

NC000011

DZ

—6,629834.10—4m

\(\mathrm{1,0}\)

NC000016

DY

—1,118785.10—3m

\(\mathrm{1,0}\)

NC000016

DZ

—1,491713.10—3m

\(\mathrm{1,0}\)

NC000021

DY

—1,988950.10—3m

\(\mathrm{1,0}\)

NC000021

DZ

—2,651934.10—3m

\(\mathrm{1,0}\)

NC000026

DY

—3,107735.10—3m

\(\mathrm{1,0}\)

NC000026

DZ

—4,143646.10—3m

\(\mathrm{1,0}\)

NC000031

DY

—4,475138.10—3m

\(\mathrm{1,0}\)

NC000031

DZ

—5,966851.10—3m

\(\mathrm{10,0}\)

4.3.3. Normal force in the pretension cable#

The value extracted from field SIEF_ELNO from STAT_NON_LINE is compared to the theoretical reference value.

The component that the test focuses on is \(N\).

Node

Mesh

Reference Value

Tolerance (%)

\(\mathrm{NC000016}\)

\(\mathrm{SG000015}\)

\(+\mathrm{7,955801}{.10}^{5}N\)

\(\mathrm{1,0}\)