
This test
lets you check space structure on elastic support, in the context of a
static case. You will use 1D mesh. This test is used to validate the discrete elastic
coupling. 

Reference: AFNOR technique, SFM Paris, Guide de validation des progiciels de
calcul de structures, SSLL 04/89, pp.2627, 1990. 

Specifications
Geometry Specifications
Length:
L = 2000 mm 

Inertia:
Ix/2 = Iy = Iz = 10^{6} m^{4 } 
Area:
a = 10^{3} m^{2} 
Analysis Specifications
Young Modulus (material):
E = 210 GPa 

Poisson's Ratio (material):
ν=
0.333333 
Loads (traction at D):
Distributed force Fz = 10000 N 
Restraints:

Displacement Type:

at A: four springs (one in translation,
three in rotation, one of which is infinitely rigid)

at B: four springs (one in translation,
three in rotation, one of which is infinitely rigid)

at H: ball joint (articulation with all
three rotations released)

Traction Type:



Results
The results correspond to the quantity at each point and
according to x, y, or z.
The table below presents the beam output results.
Point 
Quantity 
Reference 
Computed result 
A 
Mx [N_m] 
8437.5 
8438.14 
A 
My [N_m] 
1562.5 
1562.3 
A 
Mz [N_m] 
3125.0 
3124.6 
B 
Mx [N_m] 
1562.5 
1562.5 
B 
My [N_m] 
8437.5 
8437.05 
B 
Mz [N_m] 
3125.0 
3125.0 
A 
v [mm] 
29.76 
29.76 
A 
θ
[deg] 
9.208 
9.209 
D 
w [mm] 
370.04 
370.07 


To Perform the Test:
The
SpaceStructure.CATAnalysis document presents a complete analysis of
this case, computed with a mesh formed of beam elements. Proceed as follow:

Open the CATAnalysis document.

Compute the case and generate an image called
Deformed mesh.
