# Hertzian contact screening
# Scope: Hertz sphere on plane with supplied effective elastic modulus; elastic frictionless contact.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

load = 100 N
radius = 10 mm
effectiveModulus = 100 GPa

contactRadius := (3*load*radius/(4*effectiveModulus))^(1/3) [mm]
peak := 3*load/(2*pi*contactRadius^2) [MPa]

check contact pressure budget: peak <= 2000 MPa

scenario alternative: load = 80 N