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AFNOR SSLL02: Influence of shearing stresses (Timoshenko’s beam)

1. Problem definition

verification-ssll02

  • Material properties:
    • Young's modulus, E = 2.0E11 N/m^2
    • Poisson's ratio, nu = 0.3
  • Section properties:
    • Second moment of area, Iy = 2810E-8 m^4
    • Ax=31E-4 m^2
    • Az=(31E-4/2.42) m^2

2. Model

verification-ssll02

3. Comparison

Position Parameter description Songeya results AFNOR results Difference Comment
B (Euler) Displacement (m) -0.9962E-3 -0.9962E-3 0% OK
B (Timoshenko) Displacement (m) Not supported -1.25926e-3 - Not supported

4. Reference

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