Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
1/6
Organization (S): EDF/IMA/MN, ERMEL/PEL
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.105
SSNL105 - Stayed Cadre
Summary:
Test of mechanics of the structures in static nonlinear elasticity.
The framework is made of pin jointed struts. The stays consist of two cables. Only one modeling
is built.
This test makes it possible to check the behavior in traction and compression of the elements of cable (traction possible,
null compression) and the elastic behavior of the bars.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
2/6
1
Problem of reference
1.1 Geometry
Tally square plan provided with two stays (cables) on the two diagonals.
2
3
bars
cables
1
1
4
1
Co-ordinates of the points:

1 0. 0.
2 0. 1.
3 1. 1.
4 1. 0.
The cables are not connected in their mediums.
1.2
Material properties
E = 2.1 1011 Pa
= 0.3
1.3
Boundary conditions and loadings
DZ = 0.
nodes 1, 2, 3, 4
DY = 0.
nodes 1, 4
DX = 0.
node 1
FX = 1000. NR
node 3
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The solution is obtained by elementary statics.
In cable 1 - 3
NR
= 1000 2 NR
1414 2
. NR
In bar 3 - 4
NR
= - 1000 NR
NR = 0 everywhere else (and in particular in cable 2-4).
2.2
Uncertainty on the solution
The reference solution is exact.
2.3 References
bibliographical
Simple problem imagined to put in contrast the behavior of two cables: one with traction,
the other with compression.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
2
3
1
4
Bars 1-2, 2-3, 3-4 and 4-1 are modelled each one by 1 element BARRE.
The cables are modelled each one by an element CABLE.
3.2
Characteristics of the grid
There are thus 4 elements BARRE and 2 elements CABLE.
3.3 Functionalities
tested
Order
Key word fact.
Key word
Argument
Keys
DEFI_MATERIAU
CABLE
EC_SUR_E
[U4.23.01]
AFFE_MODELE
AFFE
MODELISATION
“BARRE”
[U4.22.01]
STAT_NON_LINE
COMP_ELAS
RELATION
“CABLE”
[U4.32.01]
and
“ELAS” with bars
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
5/6
4
Results of modeling A
4.1
Values tested: constraints in the elements
Net
Reference
Aster
difference %
3-4
­ 1000.0
­ 999.77
1.7 E2
1-3 (cable)
1414.2
1413.9
2.3 E2
1-2
0
­ 2.73 E26
0
2-3
0
­ 9.09 E13
0
4-1
0
5.39 E12
0
4-2 (cable)
0
0
0
4.2 Remarks
These results are obtained with a criterion of convergence of 10­6 (convergence in 3 iterations).
4.3 Parameters
of execution
Version: NEW 3.05.28
Machine: CRAY C90
Obstruction memory:
8 MW
Time CPU To use:
6.5 seconds
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL105 stayed Cadre
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A Page:
6/6
5
Summary of the results
The results show that the behavior of the cables is in conformity so that one expects some: not
compression, rubber band in traction.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A