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AFNOR SSLS07: Thin-walled cylinder with uniform axial load

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 in Z on one end
  • Loads:

    • 10 kN/m in Z on other end

2. Songeya model

Model only one quarter of the cylinder and impose symetry boundary conditions

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3. Results

3.1 Total deformation

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3.2 Membrane stresses

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4. Comparison

Position Parameter description Songeya results AFNOR results Difference Comment
A Translation, TX (mm) 7.143 e-3 -7.140 e-3 0.0% OK
A Tension stress (kPa) 500.0 500.0 0.0% OK
B Translation, TZ (mm) 9.524 e-3 9.520 e-3 0.0% OK

5. Reference

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