Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 14, Problem 33P

In Ex. 14-5 use nitrided grade 1 steel (4140) which produces Brinell hardnesses of 250 core and 500 at the surface (case). Use the upper fatigue curves on Figs. 14-14 and 14-15. Estimate the power capacity of the mesh with factors of safety of SF = SH = 1.

EXAMPLE 14-5 A 17-tooth 20° normal pitch-angle helical pinion with a right-hand helix angle of 30° rotates at 1800 rev/min when transmitting 4 lip to a 52-tooth helical gear. The normal diametral pitch is 10 teeth/in. the face width is 1.5 in, and the set has a quality number of 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion and gear are made from a through-hardened steel with surface and core hardnesses of 240 Brinell on the pinion and surface and core hardnesses of 200 Brinell on the gear. The transmission is smooth, connecting an electric motor and a centrifugal pump. Assume a pinion life of 108 cycles and a reliability of 0.9 and use the upper curves in Figs. 14-14 and 14-15.

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A helical cast steel gear with 30o helix angle has to transmit 35 kW at 2000 rpm. If the gears has 25 teeth, find the necessary module, pitch diameters and face width for 20o full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times to normal pitch. The tooth form factor is given by the expression y'= 0.154-0.912/TE, where TE represents the equivalent number of teeth. the velocity factor is given by Cv=6/(6+v), where v is the peripheral speed of the gear in m/s.
5. A non-rotating shaft made of AISI 1018 CD steel is machined to the shape shown below. A load Fy = -250 lbf (pointing down) and F, = F, = 0 lbf is repeatedly applied and removed. Determine the factor of safety for fatigue based on Goodman criterion. If the life is not infinite, estimate the number of cycles to failure (f = 0.9 for S-N curve). 2 in 9 in 1-in dia. B -in R. 2 in 1-in dia. 1글-in dia. -in din. 12 in
A 20° 20-tooth cast-iron spur pinion having a module of 4 mm drives a 32-tooth cast-iron gear. Find the contact stress if the pinion speed is 1020 rev/min, the face width is 50 mm, and 10 kW of power is transmitted. Refer to table number 14-8 for elastic coefficient. The contact stress is MPa.

Chapter 14 Solutions

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

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