1. Reference problem#
1.1. Loading#
The load is shown in the following figure:

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 |
|
Poisson’s ratio |
0.25 |
[-] |
Table 1.4-1
1.5. Bibliographical references#
VPCS: Guide to the validation of structural calculation software packages: « test SSLL13 /89 », SFM, AFNOR technique.