# Combined shaft bending and torsion
# Scope: Solid circular shaft bending and torsion; von Mises screen.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

moment = 10 N*m
torque = 5 N*m
diameter = 15 mm

bending := 32*moment/(pi*diameter^3) [MPa]
shear := 16*torque/(pi*diameter^3) [MPa]
equivalent := sqrt(bending^2+3*shear^2) [MPa]

check equivalent stress budget: equivalent <= 100 MPa

scenario alternative: moment = 8 N*m