Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
1/6
Organization (S): EDF/IMA/MN, CISI
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
Document: V3.01.012
SSLL12 - Treillis of bars under three stresses
Summary:
Static response in linear mechanics of the structures of a triangulated system of pin jointed struts (plane lattice)
under 3 stresses:
· displacement of support,
· specific forces,
· effect of dilation.
This test makes it possible to validate element BARRE under various cases of loading. It validates also the option
LIAISON_OBLIQUE of command AFFE_CHAR_MECA.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
2/6
1
Problem of reference
1.1 Geometry
5 m
5 m
5 m
5 m
5 m
5 m
5 m
4 m
C
With
D
4 m
y, v
B
X, U
1.2
Material properties
Isotropic linear elastic material:
E = 2.1 E+11 Pa
Linear dilation coefficient:
= 1. E05 °C1
1.3
Boundary conditions and loadings
Articulation of A (uA = vA = 0).
Support with roller out of B and C (vB = v' C = 0).
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
3/6
1.4 Conditions
initial
Office plurality of 3 stresses:
· displacement of support: vA = 0.02 m, vB = 0.03 m, v' C = 0.015 m
· specific forces: FE = 150 kN, FF = 100 kN
· effect of dilation of all the bars for a variation in temperature of 30°C compared to
temperature of assembly (geometry of reference).
F
F
E
F
E
F
v'
u'
With
C
GOES
V' C
B
VB
2
Reference solution
2.1
Method of calculation used for the reference solution
Determination of the unknown the hyperstatic one by the method of cut to know the tractive effort.
2.2
Results of reference
Not
Size and unit
Value
Data base
Tractive effort (NR)
8.2112 E+03
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
Mr. LAREDO, Résistance of materials, Paris, Dunod, 1970, p. 579.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
Type of modeling used: element BARRE.
A2
A2
A2
A1
A1
A1
A1
A1
A1
A1
A1
C
With
A2
A2
A2
D
A2
A2
A2
B
3.2
Characteristics of the grid
= 30°.
A1 = 1.41 E03 m2.
A2 = 2.82 E03 m2.
3.3 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
[U4.25.01]
LIAISON_OBLIQUE
FORCE_NODALE
TEMP_CALCULEE
MECA_STATIQUE
[U4.31.01]
CALC_ELEM
EFGE_ELNO_DEPL
[U4.61.02]
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
Charge: thermal dilation
Option: “EFGE_ELNO_DEPL”
Net M10, Noeud: B, Cmp: NR
12946.
1.29541 E+04
0.063
Net M16, Noeud: C, Cmp: NR
4285.2
4.28926 E+03
0.095
Net M17, Noeud: C, Cmp: NR
10189.
1.02076 E+04
0.183
Charge: specific forces
Option: “DEPL”
Node: E, Cmp: DY
1.0566 E02
1.05800 E02
0.133
Option: “EFGE_ELNO_DEPL”
Net M10, Noeud: B, Cmp: NR
87137.
8.71128 E+04
0.028
Net M16, Noeud: C, Cmp: NR
24158.
2.41596 E+04
0.007
Net M17, Noeud: C, Cmp: NR
57524.
5.74954 E+04
0.050
Charge: imposed displacements
Option: “EFGE_ELNO_DEPL”
Net M10, Noeud: B, Cmp: NR
65979.1
6.59757 E+04
0.005
Net M16, Noeud: C, Cmp: NR
21839.1
2.18453 E+04
0.029
Net M17, Noeud: C, Cmp: NR
51925.6
5.19877 E+04
0.120
Charge: office plurality of the 3 stresses
Option: “EFGE_ELNO_DEPL”
Net M10, Noeud: B, Cmp: NR
8211.2
8.18302 E+03
0.343
Net M16, Noeud: C, Cmp: NR
50282
5.02942 E+04
0.024
Net M17, Noeud: C, Cmp: NR
1.1964 E+05
1.19691 E+05
0.043
4.2 Remarks
No deformation of inflection intervenes in the calculation of the solution.
4.3 Parameters
of execution
Version: 3.02.11
Machine: CRAY C90
Obstruction memory:
8 MW
Time CPU To use:
60 seconds
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SSLL12 Treillis of bars under three stresses
Date:
19/01/98
Author (S):
J.M. PROIX, L. VIVAN
Key:
V3.01.012-A Page:
6/6
5
Summary of the results
The variations compared to the references are lower than 0.18% for the stresses (dilation
thermics, specific face, imposed displacement) separate and lower than 0.34% when these
stresses are cumulated.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A