Bevel Gear in Creo Parametric

In this tutorial, let's design a bevel gear and play the assembly mechanism in Creo Parametric

Pinion & Crown:
sigma = 90
alpha = 20
z1 = 20
z2 = 40
m = 3

pcd1 = m* z1
pcd2 = m* z2
delta1 = atan(sin(sigma)/((z2/z1)+cos(sigma)))
delta2 = sigma-delta1
R = pcd2/(2*sin(delta2))
b = floor((R/3),0)
ha =m
hf = 1.25*m
thetaf = atan(hf/R)
thetaa = atan(ha/R)
deltaa1 = delta1+ thetaa
deltaa2 = delta2+ thetaa
deltaf1 = delta1- thetaf
deltaf2 = delta2- thetaf
da1 = pcd1+2*ha*cos(delta1)
da2 = pcd2+2*ha*cos(delta2)
X1 = R*cos(delta1)-ha*sin(delta1)
X2 = R*cos(delta2)-ha*sin(delta2)
Xb1 = b*cos(deltaa1)/cos(thetaa)
Xb2 = b*cos(deltaa2)/cos(thetaa)
di1 = da1-((2*b*sin(deltaa1))/cos(thetaa))
di2 = da2-((2*b*sin(deltaa2))/cos(thetaa))
teeth_thickness = (pi*m)/2
root_fillet = 0.38*m

Curve equation:
theta=90
theta1=90*pi/180
rad=d16*cos(alpha)
Y=rad*(cos(theta*t)+theta1*t*sin(theta*t))
X=rad*(sin(theta*t)-theta1*t*cos(theta*t))
z=0


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