CALCS PROC063
SPUR GEAR TOOTH STRENGTH

NOTATION

A B Cpoints on inscribed parabola for tooth form
bface width tooth
dbdiameter base circle
dfdiameter tooth root
dpdiameter pitch circle
hfdedendum - position of B from AC
KDradius tooth contact at PCD
mmodule
phipressure angle, 14.5 or 20deg
Pforce
rrradius tooth fillet
sAC width tooth at pitch circle
sfAC width tooth at root
zno.teeth

APPLICATION

Two gear teeth in contact under bearing loading

OUTPUT

Bending & Hertzian Stresses

SEE ALSO

other porcs & progs

THEORY

ROARK5T33I2B & T37I21, Encyclopedia of Materials ISBN 0-08-0431526 pp.3750

GUIDANCE

guidance notes

INPUT FORMAT

LET Nm=:Nk=:z=:b=:dp=:m=:phi=:P=:PROC063

EXAMPLE

Call Statement

LET Nm=1:Nk=1:KD=2*3.6:b=1.0:t=.1996:r=.0029:h=.1197:phi=20:P=.229/4:PROC063

Output

PROC063 GEAR TOOTH BENDING & HERTZ STRESSES 220600
k= .18+(t/r)^.15*(t/h)^.45= 2.555
fd= P*(6*h/(b*t^2)-TAN(RAD(phi))/(b*t))= 0.9277
UF= (fd*k)/(Fy(Nm)*Kd(Nk))= 1.0111.011
fc= .591*SQR((P/b)*E(Nm)/KD)= 2.398
UF= fc/(Fy(Nm)*Kc(Nk))= 1.0221.022
END063