Shigley's Mechanical Engineering Design 10th Edition

Published by McGraw-Hill Education
ISBN 10: 0073398209
ISBN 13: 978-0-07339-820-4

Chapter 14 - Problems - Page 773: 14-5

Answer

Therefore facewidth should be kept = 11 mm or 12 mm

Work Step by Step

$Pitch Diameter, d = N ∗ m = 16 * 1 = 16 mm$ 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 $V=(3.14∗16 ∗0.001∗ 400)/60=0.335 m/s$ $Velocity Factor, K=(6.1+V)/6.1$ ; for cut or milled profile therefore $K=(6.1+0.335)/6.1=1.055$ $Tangential load, W=(60000∗h)/(pi ∗ d ∗ n)$ ; where h is power in kW therefore $W=(60000∗0.15)/(3.14∗16 ∗400)=0.4476 kN =447.6 N$ $Facewidth, F = (K∗W)/(sigma ∗ m ∗ Y)$ ; where sigma is bending stress $Facewidth, F= (1.055∗447.6)/(150∗1∗0.296)$ $Facewidth, F = 10.6 mm$ Therefore facewidth should be kept = 11 mm or 12 mm
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