Space Structure on Elastic Support

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.26-27, 1990.
 

Specifications

Geometry Specifications

Length:
L = 2000 mm

Inertia:
Ix/2 = Iy = Iz = 10-6 m4 

Area:
a = 10-3 m2

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:

    • at D: Fz = -10000 N
 

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:

  1. Open the CATAnalysis document.

  2. Compute the case and generate an image called Deformed mesh.