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AFNOR SSLS11: Thin-walled cone subjected to uniform internal pressure

1. Problem definition

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  • Material properties:

    • Young's modulus, E = 210 GPa
    • Poisson ratio, nu = 0.3
  • Thickness properties:

    • Thickness: 20 mm
  • Supports:

    • Fix translation along top edge
  • Loads:

    • Internal pressure of 10 kPa

2. Songeya model

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3. Results

3.1 Total deformation

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3.2 Membrane stresses

3.2.1 Sxx

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3.2.2 Syy

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4. Comparison

Position Parameter description Songeya results AFNOR results Difference Comment
A Vertical stress (Pa) 1.44 e+5 1.44 e+5 0.0% OK
A Horizontal stress (Pa) 2.88 e+5 2.89 e+5 0.3% OK
A Translation, TX (m) 0.5821 e-6 0.5842 e-6 0.4% OK

5. Reference

Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.