Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
1/6
Organization (S): EDF/AMA, CS IF
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
V3.01.014 document
SSLL14 - Plane Portique articulated in foot
Summary
This test relates to the study of a gantry made up of hurled beams, articulated in foot, in static analysis
linear.
The gantry is modelled with elements linear (SEG2) and subjected to four loadings (distributed or
specific).
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
2/6
1
Problem of reference
1.1 Geometry
F1
L = 20 m
H = 8 m
C
= 4 m have
P
has
F2
D
E
M
H
y
With
B
X
L
Sections AD, EB
I1 = 5. E4 m4
Sections cd., EC
I2 = 2.5 E4 m4
The gantry consists of symmetrical beams of sections, so that IY=IZ.
One takes account only of the energy of inflection, because the beams are very slim. This is why them
other characteristics of section of beam do not intervene.
1.2
Material properties
Isotropic linear elastic material:
E = 2.1 E11 Pa
1.3
Boundary conditions and loadings
Feet of articulated posts A and B.
Loadings
Nodal force out of C:
Fy = 2000 NR = F1
Nodal force in D:
Fx = 10 000 NR = F2
Moment in D:
MX = 100 000 N.m = M
Force distributed on section cd.:
Pz = 3000 NR/m
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
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2
Reference solution
2.1
Method of calculation used for the reference solution
The method of calculation and the solution are exposed in the document [V3.90.01].
2.2
Results of reference
Horizontal and vertical reactions at point A.
Bending moment out of C.
Displacements horizontal and vertical of the point C.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
F.VOLDOIRE: Calculation of an elastic hyperstatic plane gantry [V3.90.01].
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
C
D
E
y
With
B
X
·
Modeling POU_D_E
·
10 elements section by section, is 40 elements SEG2
·
Displacement in the plan: Dz = 0 on all the grid
·
Feet of articulated posts A and B: Dx = Dy = 0
3.2
Characteristics of the grid
Sections AD and EB: I1 inertia = 5e4 m4
Sections cd. and EC: I2 inertia = 2.5 E4 m4
3.3 Functionalities
tested
AFFE_CHAR_MECA
FORCE_NODALE:
Fx, Fy, Mz
FORCE_POUTRE:
Fy
CALC_ELEM
“EFGE_ELNO_DEPL”
CALC_NO
“REAC_NODA”
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Loading Value
tested
Reference
Aster
% difference
Effort distributed p on CD
Displacement out of C Dx
0.0110476
0.0110472 0.003
Displacement out of C Dy
0.012422374
0.0124233 0.004
Moment out of C Dz
18672.994
18673.20 3.10-6
Reaction of A Dx
5175.37
5175.36 2.10-4
Reaction of A Dy
24233.24
24233.2 2.10-4
Force concentrated F1 out of C
Displacement out of C Dx
0.00000
0.0000 0
Displacement out of C Dy
0.01497330
0.0149734 0.005
Moment out of C Dz
41422.161
41422.40 3.106
Reaction of A Dx
4881.487
4881.47 2.104
Reaction of A Dy
10000.00
10000.0 2.104
Force concentrated F2 in D
Displacement out of C Dx
0.03000956
0.0300098 0.001
Displacement out of C Dy
0.00299466
0.00299450 0.005
Moment out of C Dz
8284.432
8284.34 3.106
Reaction of A Dx
5976.297
5976.31 1.104
Reaction of A Dy
4000.00
4000.0 0
Moment out of C
Displacement out of C Dx
0.0273532
0.0273536 0.001
Displacement out of C Dy
0.001215646
0.00121583 0.015
Moment out of C Dz
4916.724
4916.62 3.106
Reaction of A Dx
4576.394
4576.38 2.104
Reaction of A Dy
5000.00
5000.0 0
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
SSLL14 plane Portique articulated in foot
Date
:
21/03/02
Author (S):
J.M. PROIX, L. VIVAN Key
:
V3.01.014-A Page:
6/6
5
Summary of the results
The results obtained with modeling POU_D_E are in very good agreement with the solution
analytical and thus validate the calculation of lattice of beams subjected to efforts specific or distributed.
Handbook of Validation
V3.01 booklet: Linear statics of the linear structures
HT-66/02/001/A
Outline document