1. Reference problem#

1.1. Loading#

The mobile load with an intensity Fy = -48,000 N moves at a speed of 10 m/s for 1 s. The damping in question is zero.

For modeling in code-aster, the load will be modeled by a nodal force at a node on the \({x}_{i}\) axis whose maximum value (value at time t2) is calculated from the zone of influence. The nodal force is varied as a function of time as follows:

_images/1000020000000FA0000008CA168931E3F80DAF5E.png

Figure 1.1-1

In code-aster, the maximum values and the peak time associated with each node are shown in the following figure:

_images/1000000000000FA0000008CA94EF01E8E213CE03.png

Figure 1.1-2

1.2. Liaisons#

  • Support PT_5 (DY=DZ= DRX = = DRY =0; KX = 100 N/m and KRZ = 0.1 N.m/rad)

  • Support PT_100 (DX=DY=DZ= DRX = = DRY =0; KRZ = 0.1 N.m/rad)

1.3. Geometry#

Characteristics

Value

Unit

Inertia

5*106

Mm4

Area

12,500

mm²

Shear coefficient

0.8497

[-]

Table 1.3-1

1.4. Material properties#

Characteristics

Value

Unit

Young’s module

210,000

MPa

Poisson’s ratio

0.30

[-]

Density

8,000

kg/m3

Table 1.4-1

1.5. Bibliographical references#

  1. VPCS: Guide to the validation of structural calculation software packages: « test SDLL07 -89 », SFM, AFNOR technique.