AFNOR SSLS22: Spherical dome subjected to uniform external pressure
1. Problem definition
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Material properties:
- Young's modulus, E = 68970.0 MPa
- Shear modulus, G = 28738.0 MPa
- Poisson ratio, nu = 0.2
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Thickness properties:
- Thickness: 12.7 mm
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Supports:
- Fixed bottom edge
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Loads:
- External pressure of 689.7 kPa
2. Songeya model
3. Results
3.1 Translation, TX
3.2 Total stresses, Sxx
4. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| A | Translation, TX (m) | 1.772 e-3 | 1.73 e-3 | 2.4% | OK |
| B | Translation, TX (m) | 1.01 e-3 | 1.02 e-3 | 1.0% | OK |
| A | Vertical stress, Sx (MPa) | 69 | 74 | 6.8% | OK |
| B | Vertical stress, Sx (MPa) | 69 | 69 | 0.0% | OK |
5. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.