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Calculation of the elasticity or Winkler factor K from the plate test K30 according to Terzaghi (1955)

Abstract
  • Usually soil acts like an elastic material, with deformation proportional to the stress.

  • The soil elasticity factor K not only depends on its characteristics, but the size and shape of the surface compressing it (foundation).

  • It is possible to obtain the soil elasticity modulus from the K30 resulting of the plate 30x30 cm test, with the Terzaghi formulation.

  • Programs simulate the soil behavior placing springs under the elements the foundation is divided.

  • This program calculates the soil elasticity factor K for a specific foundation from the kind of soil and the foundation dimensions.

Calculation
Parameters:    
K30 =Kg/cm3    
Width b =m    
Length l =m    
% Sandy =%    
 
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Results:   
Square foundation:
    
K 100% sandy soil =3.7632
Kg/cm3  K square sandy
K 100% cohesive soil =1.44
Kg/cm3  K square cohesive
Rectangular foundation:     
K 100% sandy soil = 3.3451Kg/cm3 K 100% sandy
K 100% cohesive soil =1.28
Kg/cm3   
Real K = 3.2418
Kg/cm3  Real K
 


Author's notes:
  • Even though the Terzaghi method is not the most accurate, it has been selected here for being the more popular.

Version 17/10/2011







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