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 7, Problem 42P

A gear and shaft with nominal diameter of 35 mm are to be assembled with a medium drive fit, as specified in Table 7-9. The gear has a hub, with an outside diameter of 60 mm, and an overall length of 50 mm. The shaft is made from AISI 1020 CD steel, and the gear is made from steel that has been through hardened to provide Su = 700 MPa and Sy = 600 MPa.

  1. (a)   Specify dimensions with tolerances for the shaft and gear bore to achieve the desired fit.
  2. (b)   Determine the minimum and maximum pressures that could be experienced at the interface with the specified tolerances.
  3. (c)   Determine the worst-case static factors of safety guarding against yielding at assembly for the shaft and the gear based on the distortion energy failure theory.
  4. (d)   Determine the maximum torque that the joint should be expected to transmit without slipping, i.e., when the interference pressure is at a minimum for the specified tolerances.
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A pair of iron cast gears connecting two shafts at the Angle of the elbow. The diameter of the pinion pitch and the gear is 80 mm and 100 mm. The shape of the gear gear was 14 restriction form. The static voltage allowed for both gear is 55 mpa. If the door transports to 2.95 kw power at the turn of 1200 RPM, identify the module and the number of teeth on each gear from the Angle of power and check the design from the Angle of the tear. Take the surface durability limit is 630 mpa and the modulus elasticity to iron cast is 84 kn /mm2.
In the double-reduction gear train shown (dimensions are in inches), shaft a is driven by a motor attached by a flexible coupling attached to the overhang. The motor provides a torque of 2500 lbf-in at a speed of 1200 rpm. The gears have 20° pressure angles, with diameters shown in the figure. Use an AISI 1020 cold-drawn steel. Design Shaft CD with a design factor of 1.5 by performing the following tasks. (a) Sketch a general shaft layout, including means to locate the gears and bearings, and to transmit the torque. (b) Perform a force analysis to find the bearing reaction forces, and generate shear and bending moment diagrams. (c) Determine potential critical locations for stress design. (d) Determine critical diameters of the shaft based on fatigue and static stresses at the critical locations. (e) Make any other dimensional decisions necessary to specify all diameters and axial dimensions. Sketch the shaft to scale, showing all proposed dimensions. (f) If any of the deflections…
A helical cast steel gear with 30° helix angle has to transmit 35 kW at 2000 r.p.m. If the gear has 25 teeth, find the necessary module, pitch diameters and face width for 20° 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 the normal pitch. The tooth form factor is given by the expression y'=0.154 – 0.912/T, where T represents the equivalent num- ber of teeth. The velocity factor is given by C, = 6 + v where v is the peripheral speed of the gear in m/s.

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

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