3. Modeling A#

3.1. Characteristics of modeling#

The volume of concrete is modelled by a single hexahedral element. The prestress cable is modelled first by 4 elements BARRE, then by 4 elements CABLE_GAINE.

3.2. Characteristics of the mesh#

With the cable modelled in BARRE: 4 mesh SEG2, one mesh HEXA8

With the cable modelled in CABLE_GAINE: 4 mesh SEG3, one mesh HEXA8

_images/10000201000002AE000001F72F2D8150726F368F.tif

X

Y

Z

3.3. Test values and modeling results A#

The calculations are done a first time with modeling BARRE and a second time with modeling CABLE_GAINE using the adherent case of law CABLE_GAINE_FROT.

The values tested are the same in both cases.

Identification

Reference Type

Reference

Tolerance

Next gravity \(–z\)

“ANALYTIQUE”

132

\({10}^{\text{-8}}\text{\%}\)

Next gravity \(–x\)

“ANALYTIQUE”

132

\({10}^{\text{-8}}\text{\%}\)

Stress in concrete SIXX

“ANALYTIQUE”

\(\mathrm{-}\mathrm{1,66666667}{10}^{5}\)

\(\mathrm{0,1}\text{\%}\)

Normal stress in steel N

“ANALYTIQUE”

\(2{10}^{5}\)

\(\mathrm{0,1}\text{\%}\)

Deformation in concrete: EPXX

“ANALYTIQUE”

\(-\mathrm{5,555555555}{10}^{\text{-4}}\)

\(\mathrm{0,001}\text{\%}\)