1. Reference problem#

1.1. Loading#

The load is shown in the following figure:

_images/1000000000000FA0000008CA4E9A31E1F8E89AD5.png

Figure 1.1-1

The AB beam has a total length of 8m. AC, CD, CE, EF and EB bars only work in tension and compression. In the middle of the CE bar, a device allows a shortening between two points C and E, which is translated by an elongation of the left and right parts of the CE bar by \(\mathrm{\delta }\) = 6.52mm. The support in A is fixed while the support in B is mobile.

1.2. Liaisons#

  • Supports A (DX=DY=DZ=0, KRX = = KRY = KRZ =0.0001 N.m/rad)

  • Supports B (KY = 1 x 109 N/m)

1.3. Geometry#

  • AB beam

Characteristics

Value

Unit

Area

15 160

mm²

Shear coefficient

2.5

[-]

Inertia

217.4*106

mm4

Table 1.3-1

  • Bar SAC, CE, EB

Characteristics

Value

Unit

Area

4,500

mm²

Table 1.3-2

  • CD and EF beam

Characteristics

Value

Unit

Area

3480

mm²

Table 1.3-3

1.4. Material properties#

Characteristics

Value

Unit

Young’s module

210,000

MPa

Poisson’s ratio

0.25

[-]

Table 1.4-1

1.5. Bibliographical references#

  1. VPCS: Guide to the validation of structural calculation software packages: « test SSLL13 /89 », SFM, AFNOR technique.