Code_Aster
®
Version
5.0
Titrate:
SSLV115 - Concrete element prestressed in compression and gravity
Date:
23/09/02
Author (S)
:
J. Mr. PROIX, P. BADEL
Key:
V3.04.115-A
Page:
1/4
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A
Organization (S)
: EDF/AMA
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.115
SSLV115 - Concrete element 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.
Code_Aster
®
Version
5.0
Titrate:
SSLV115 - Concrete element prestressed in compression and gravity
Date:
23/09/02
Author (S)
:
J. Mr. PROIX, P. BADEL
Key:
V3.04.115-A
Page:
2/4
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
A right-angled parallelepiped modelizing the concrete, and a line included in this volume modelizing it
cable of prestressed:
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 10
11
AP for the cable, and E=3.10
10
AP for the concrete.
Rho=210
4
kg/m
3
for the cable, and the concrete, Rho=3 kg/m
3
(nonphysical values 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.
B
2001
X
y
Z
1001
2002
2101
1101
1002
1102
2102
0.6
2
2
Code_Aster
®
Version
5.0
Titrate:
SSLV115 - Concrete element prestressed in compression and gravity
Date:
23/09/02
Author (S)
:
J. Mr. PROIX, P. BADEL
Key:
V3.04.115-A
Page:
3/4
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A
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.
Code_Aster
®
Version
5.0
Titrate:
SSLV115 - Concrete element prestressed in compression and gravity
Date:
23/09/02
Author (S)
:
J. Mr. PROIX, P. BADEL
Key:
V3.04.115-A
Page:
4/4
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
The volume of concrete is modelized by only one element. The cable of prestressing is modelized by
4 elements BARS.
3.2
Characteristics of the mesh
4 meshs SEG2, a mesh HEAX8
3.3 Functionalities
tested
Controls
AFFE_CARA_ELEM
BAR
DEFI_CABLE_BP
AFFE_CHAR_MECA
GRAVITY
CALC_NO
REAC_NODA
STAT_NON_LINE
COMP_INCR
RELATION
ELAS
POST_RELEVE_T
OPERATION
RESULTANT
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 `a fault on gravity into
bars, and makes it possible to validate the correction.