24 May Mechanical Engineering design
MAE 433 Mechanical Engineering Design II 2nd Homework Assignment
due by 4:30 pm on 3/13/2018 (Total Points: 5)
Problem 1
A straight-bevel gear mesh is utilized to transform the rotation about a horizontal shaft of a motor-driven pinion into rotation of an output gear about a vertical shaft as shown in Fig. 1. The pressure angle f = 20°. The pinion rotates at 900 rpm.
a. Both pinion and gear are grade 2 through-hardened steel at 350 Brinell and are uncrowned. The quality number is 10 and the desired life is 30,000 hours with a 0.999 reliability. For a design factor of 1.5, rate the speed reducer for power using the AGMA method. (2 points)
b. Select the appropriate tapered roller bearings for use on the gear shaft (with centers at points
C and D) assuming a bore of 13 8
in and 11 4
in at points C and D, respectively. The pinion
transmits 18 hp to the gear. The axial load is carried by the bearing at C. The bearings are to have a desired life of 30,000 hours at a combined reliability of 0.999. Use an application factor of 1.5, and the following Weibull distribution parameter values: x0 = 0, θ = 4.48, and b = 1.5 at a rating life of 90·106 revolutions. You may use an online manufacturer’s catalog for the bearing selection. (3 points)
Figure 1 (all dimensions shown are in inches)
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