AFNOR SSLL15: Beam on elastic (Winkler’s) soil foundation
1. Problem definition
-
Material properties:
- Young's modulus, E = 210 GPa
- Poisson ratio, nu = 0.3
-
Section properties:
- Moment of inertia, Iy = 1.0E-4 m^4
-
Soil properties
- Stiffness: 840kN/m
2. Songeya model
The beam is divided into uniform segments and a suitable spring stiffness is assigned to each node.
3. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| B | Bending moment, My (Nm) | 5758 | 5759 | 0.0% | OK |
| B | Translation, TZ (m) | -0.006840 | -0.006844 | 0.1% | OK |
| A | Translation, TZ (m) | -0.007859 | -0.007854 | 0.1% | OK |
| A | Rotation, RY (rad) | -0.000706 | -0.000706 | 0.0% | OK |
4. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.