Calculation of 1D and 2D results

Overall convention of signs of normal forces and stresses

• Positive value = Tension
• Negative value = Compression

Only exception in Subsoils (contact stresses sigma,z):

• Positive values = Compression
• Negative values = Tension

 

1D members

 

2D members

1) Basic magnitudes = characteristic values

• Bending (plates, shells)
  • Bending moments mx, my
  
  • Torsion moment mxy
  
  • Shear forces qx, qy (= vx, vy)
  
• Membrane effects (walls, shells)
  • Membrane forces nx, ny
  
  • Shear force qxy (= nxy)
  
• Basic stresses on 2D

 

2) Principle magnitudes

The principal magnitudes give the results according to the axes of the directions of the largest stresses (principal directions). These directions are defined with the help of the Mohr’s circle:

• Principal moments – plate

  

• Principal forces – wall

• Principle stresses on 2D

 

3) Dimensional magnitudes = design values

To derive the dimensional magnitudes from the basic magnitudes, formulas from the Eurocode are used.

• Dimensional moments from EC2 – plate


• Dimensional moments, classical method – plate

  

• Dimensional forces from EC2 – wall


• Dimensional forces, classical method – wall