AFNOR HSLL01: Arch with 2 pinned supports under temperature gradient
1. Problem definition
-
Material properties:
- Young's modulus, E = 200 GPa
- Poisson ratio, nu = 0.3
- Coefficient of thermal expansion = 1.1e-5 /C
-
Section properties:
- 120x120 mm rectangle
-
Loads:
- Thermal gradient
- Top face: 160 C
- Bottom face: 40 C
- Thermal gradient
2. Songeya model
3. Results
3.1 Total deformation
3.2 Axial force
3.3 Shear force
3.4 Bending moment
4. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| A | Axial force (N) | 209.15 | 0 | - | OK |
| A | Shear force (N) | 4790.317 | -4792.000 | 0.0% | OK |
| A | Bending moment (Nm) | 0 | 0 | 0.0% | OK |
| B | Axial force (N) | 3387.266 | -3388.000 | 0.0% | OK |
| B | Shear force (N) | 3387.266 | -3388.000 | 0.0% | OK |
| B | Bending moment (Nm) | 33904.928 | 33883.000 | 0.1% | OK |
| C | Axial force (N) | 4790.317 | -4792.000 | 0.0% | OK |
| C | Shear force (N) | 0 | 0 | 0.0% | OK |
| C | Bending moment (Nm) | 47948.805 | 47918.000 | 0.1% | OK |
5. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.