• Transversely Loaded Plates
  
  
  • The bending behaviour of plates can be understood with a direct extension of the bending of beams
  • Unlikely to beams, the transverse contraction is equal to zero in directions parallel to a plate surface during its bending or axial elongation
  • Stress-strain relation in plates for a longitudinal movement:

      where   s  ...  Poisson ratio

  • Quantity E/(1-s2) is called plate modulus.
    
    
  • Simply supported circular plate
    
    • Small-displacement deformation curve can be approximated by sphere and thus can be described by a second order expression:

     where  R  ...  plate radius

• Displacement caused by the point force at the centre of a plate

• Reduced mass and reduced compliance

• Clamped circular plate
  
  • Deformation curve
    First approximation

• Displacement at the centre corresponding to a force acting at the same point

• Reduced mass and reduced compliance