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Cone with a Parabolic Cap: Online Calculator
This calculator allows calculating pressure , displacement (elastic deformation) , average pressure and resultant force for the case of indentation of elastic half-space by a rigid cone with a parabolic cap. In this case, the intender is rigid and of conical shape. The substrate is elastic, the geometric parameters – rigid body displacement, – radius of the contact, – inclination angle of the cone, – radius of the parabolic cap, and material parameters are the inputs (see the figure and definitions below).
Equations were taken from .
Poisson’s ratio dimensionless,
Young’s modulus of elasticity , [Pa],
Equivalent elastic constant , [Pa],
Normal load , [N]
 Valentin L. Popov, Hanbook of Contact Mechnics, Exact Solutions of Axisymmetric Contact Problems, pg. 35