Answer
Bending Stress = 32.6 MPa
Work Step by Step
Pitch Diameter, $d=N ∗ m$ = 16 * 8 = 128 mm
where, N = number of teeth
m= module
$Lewis form factor, Y=0.296$ ; for 16 teeth with 20degree pressure
angle
Pitch line velocity, $V=(pi ∗ d ∗ n)/60$ ; where; n = speed in rpm
therefore $V=(3.14∗ 128 ∗ 0.001 ∗ 150)/60=1.0053 m/s$
Velocity Factor, $K=(6.1+V)/6.1$ ; for cut or milled profile
therefore $K=(6.1+1.0053)/6.1=1.165$
Tangential load, $W=(60000∗h)/(pi ∗ d ∗ n)$ ; where h is power in kW
therefore $W=(60000∗6)/(3.14∗128∗150)=5.968 kN = 5968 N$
$Bending Stress = (K∗W)/(F∗m∗Y)$ ; where F is facewidth
$Bending Stress = (1.165∗5968)/(90∗8∗0.296)$
$Bending Stress = 32.6 MPa $
