Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
1/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
Organization (S):
EDF/IMA/MN
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
Document: V3.01.010
SSLL10 - Gantry with side connections
Summary:
Static test in linear elasticity, being used to validate the elements of right beam
POU_D_T
for a loading
specific and a loading distributed (key word
FORCE_POUTRE
).
The relations and moments bending are tested.
Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
2/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
1
Problem of reference
1.1 Geometry
Plane problem
y, v
X, U
C
D
G
With
E
B
Beam
Length
Moment of inertia
AB
L
AB
=
4
m
L
AB
=
64
3
10
-
8
m
4
AC
L
AC
=
1
m
L
AC
=
1
12
10
-
8
m
4
AD
L
AD
=
1
m
L
AD
=
1
12
10
-
8
m
4
AE
L
AE
=
2
m
L
AE
=
4
3
10
-
8
m
4
G
is in the middle of
DA
.
Another characteristic of the beams not being used for calculations: the beams are of square section.
With
With
With
With
AB
AD
AC
AE
=
=
=
=
-
-
-
-
16 10
1 10
1 10
4 10
4
4
4
4
m
m
m
m
1.2
Material properties
Isotropic linear elastic material:
E = 2 10
11
AP
1.3
Boundary conditions and loadings
1) Points
C
: articulated
(
)
U
v
C
C
=
=
0
.
C
D
G
With
E
B
F
P
Specific force in:
G: F
= -
10
5
NR.
Force distributed on the beam
AD: p
=
10
3
NR/Mr.
Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
3/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
One poses:
K
I.E.(internal excitation)
L
Year
Year
Year
=
with or
N
B C D
E
=
,
,
K
K
K
K
K
R
K
K
AB
AD
AE
AC
Year
year
=
+
+
+
=
3
4
with or
N
B C D
E
=
,
,
C
Fl
pl
AD
AB
1
2
8
12
= +
-
·
Rotation in
With
:
=
C
K
1
4
·
Moment in
With
:
M
pl
R
C
M
Fl
R
C
M
R
C
M
R
C
AB
AB
AB
AD
AD
AD
AE
AE
AC
AC
= +
+
= -
+
=
=
2
1
1
1
1
12
8
.
.
.
.
2.2
Results of reference
Value of rotation and the moments in A.
2.3 References
bibliographical
[1]
Guide VPCS - Edition 1990.
Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
4/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
Elements
POU_D_T
1 element for the section AG
1 element for the section GD
1 element for section AE
1 element for the section AC
1 element for section AB
Boundary conditions:
DDL_IMPO
(
ALL: “yes”
D2: 0
DRX: 0 DRY: 0
NODE: (D, B, E) DX: 0
DY: 0
DRZ: 0
NODE C
DX: 0
DY: 0
)
FORCE_NODALE
NODE: G
Fy = - 1. 105
FORCE_AUTRE
NET: AB
Fy = - 1. 103
3.2
Characteristics of the mesh
5 elements
POU_D_T
6 nodes
3.3 Functionalities
tested
Controls
Keys
AFFE_MODELE
POU_D_T
[U4.22.01]
AFFE_CHAR_MECA
FORCE_POUTRE
[U4.25.01]
FORCE_NODALE
AFFE_CARA_ELEM
BEAM
SECTION:
“RIGHT-ANGLED”
[U4.24.01]
CALC_ELEM
OPTION:
“EFGE_ELNO_DEPL”
[U4.61.02]
Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
5/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
4
Results of modeling A
4.1 Values
tested
Not
Size and unit
Reference
Aster
% difference
With
Z
, rotation
0.227118
0.227441
0.14
(rad)
With
M
AB
, moment
11023.72
11020.99
0.03
(Nm)
With
M
AC
, moment
113.559
113.718
0.14
(Nm)
With
M
AD
, moment
+12348.588
12347.477
0.009
(Nm)
With
M
AE
, moment
1211.2994
1212.7712
0.12
(Nm)
4.2 Parameters
of execution
Version: NEW 3.3.31
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
8 seconds
Code_Aster
®
Version
4.0
Titrate:
SSLL10 Gantry with side connections
Date:
19/01/98
Author (S):
J.M. PROIX
Key:
V3.01.010-A
Page:
6/6
Manual of Validation
V3.01 booklet: Linear statics of the linear structures
HI-75/96/039 - Ind A
5
Summary of the results
The results show the correct operation of the elements
POU_D_T
in cross-bending under load
specific and distributed (
FORCE_POUTRE
).