Code_Aster ®
Version
5.0
Titrate:
SSLV115 - Concrete Elément prestressed in compression and gravity
Date:
23/09/02
Author (S):
J. Mr. PROIX, P. BADEL
Key: V3.04.115-A Page: 1/4

Organization (S): EDF/AMA
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.115

SSLV115 - Concrete Elément prestressed in
compression and gravity

Summary:

This test allows a simple checking of calculations of gravity for the concrete elements with cables of
prestressed, in linear mechanics of the structures static.

The concrete element is voluminal, and the elements of cable of prestressing are elements of bar.

Only one modeling is used: it makes it possible to test the application of gravity on elements of
bar, for two directions of gravity.

The values tested are the resultants of the reactions on the supports, equal to the total weight of modeling.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLV115 - Concrete Elément prestressed in compression and gravity
Date:
23/09/02
Author (S):
J. Mr. PROIX, P. BADEL
Key: V3.04.115-A Page: 2/4

1
Problem of reference

1.1 Geometry

A right-angled parallelepiped modelling the concrete, and a line included in this volume modelling it
cable of prestressed:

1101

2101

Z

B
1102

2102

0.6

1001
2001

y

2


1002
X

2002

2

All dimensions are in meters. The surface of the cross sections of the cable is worth A=0.00015m ²
The cable is parallel to axis X. Its intersection with the plan (Oyz) is defined by the item (1., 0.3).

1.2
Material properties

E = 2.1 1011 Pa for the cable, and E=3.1010 Pa for the concrete.
Rho=2104 kg/m3 for the cable, and the concrete, Rho=3 kg/m3 (values nonphysical intended for
to make dominating the weight of the cable)

1.3
Boundary conditions and loadings

DY=0 as in point 1001, DZ=0 for all the nodes of the face z=0, and DX=0 for all the nodes of
face x=0.

1 only loading is applied: gravity, with g=10m/s ², successively in the direction ­ Z
then ­ X.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLV115 - Concrete Elément prestressed in compression and gravity
Date:
23/09/02
Author (S):
J. Mr. PROIX, P. BADEL
Key: V3.04.115-A Page: 3/4

2
Reference solution

2.1
Method of calculation used for the reference solution

· Analytical solution:

The resultant of the efforts (equal to the total weight) is worth:

-
weight of the concrete: Pb=V * Rhob * G
-
weight of the cable: Pc=A * L * Rhoc * G

in the direction where gravity is applied.

2.2
Results of reference

· Resultant of the efforts: R=132N

2.3
Uncertainty on the solution

Analytical solution.

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLV115 - Concrete Elément prestressed in compression and gravity
Date:
23/09/02
Author (S):
J. Mr. PROIX, P. BADEL
Key: V3.04.115-A Page: 4/4

3 Modeling
With

3.1
Characteristics of modeling

The volume of concrete is modelled by only one element. The cable of prestressing is modelled by
4 elements BARRE.

3.2
Characteristics of the grid

4 meshs SEG2, a mesh HEAX8

3.3 Functionalities
tested

Commands



AFFE_CARA_ELEM
BARRE
DEFI_CABLE_BP

AFFE_CHAR_MECA
PESANTEUR

CALC_NO
REAC_NODA
STAT_NON_LINE
COMP_INCR
RELATION
ELAS
POST_RELEVE_T
OPERATION
RESULTANTE

4
Results of modeling A

4.1 Values
tested

Loading case
Identification
Reference
Aster %
difference
gravity according to ­ Z
Rz
132
132
0
gravity according to ­ X
X-ray
132
132
0

5
Summary of the results

This test, very simple, makes it possible simultaneously to check the correct operation of gravity in
elements of bar of prestressing, which is checked by the perfect coincidence of the results with
analytical solution. It was introduced following the discovery D `an anomaly on gravity into
bars, and makes it possible to validate the correction.

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A

Outline document