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Perform "Design for stress" based on Machine Component Design knowledge

Perform "Design for stress" based on Machine Component Design knowledge

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Perform "Design for stress" based on Machine Component Design knowledge.

A double reduction gearbox design has developed to the point that the general layout and axial dimensions of the countershaft carrying two spur gears has been proposed, as shown in Fig. 7-10. The gears and bearings are located and supported by shoulders, and held in place by retaining rings. The gears transmit torque through keys. Gears have been specified as shown, allowing the tangential and radial forces transmitted through the gears to the shaft to be determined as follows. Bearing A where the superscripts tand rrepresent tangential and radial directions, respectively; and, the subscripts 23 and 54 represent the forces exerted by gears 2 and 5 (not shown) on gears 3 and 4, respectively. Proceed with the next phase of the design, in which a suitable material is selected, and appropriate diameters for each section of the shaft are estimated, based on providing sufficient fatigue and static stress capacity for infinite life of the shaft, with minimum safety factors of 1.5. D₁ D₂ Datum 0.25 0.75 1.25 1.75 2.0 W 480 lbf W₂₁3 = 197 lbf CADEF Gear 3 d; = 12.5 in -0 2.75 OS G H D₁ W$4 = 2099 lbf W54 = 885 lbf Figure 7-10 Shaft layout for Ex. 7-2. Dimensions in inches. 7.50 I Gear 4 d₂ = 2.7 in 8.50 J 9.50 9.75 Bearing B D₁ D₂ 10.25 10.75 11.25 11.50 K L M BN
Transcribed Image Text:A double reduction gearbox design has developed to the point that the general layout and axial dimensions of the countershaft carrying two spur gears has been proposed, as shown in Fig. 7-10. The gears and bearings are located and supported by shoulders, and held in place by retaining rings. The gears transmit torque through keys. Gears have been specified as shown, allowing the tangential and radial forces transmitted through the gears to the shaft to be determined as follows. Bearing A where the superscripts tand rrepresent tangential and radial directions, respectively; and, the subscripts 23 and 54 represent the forces exerted by gears 2 and 5 (not shown) on gears 3 and 4, respectively. Proceed with the next phase of the design, in which a suitable material is selected, and appropriate diameters for each section of the shaft are estimated, based on providing sufficient fatigue and static stress capacity for infinite life of the shaft, with minimum safety factors of 1.5. D₁ D₂ Datum 0.25 0.75 1.25 1.75 2.0 W 480 lbf W₂₁3 = 197 lbf CADEF Gear 3 d; = 12.5 in -0 2.75 OS G H D₁ W$4 = 2099 lbf W54 = 885 lbf Figure 7-10 Shaft layout for Ex. 7-2. Dimensions in inches. 7.50 I Gear 4 d₂ = 2.7 in 8.50 J 9.50 9.75 Bearing B D₁ D₂ 10.25 10.75 11.25 11.50 K L M BN
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