Perform "Design for stress" based on Machine Component Design knowledge. A double reduction gearbox design has developed to the point that the generallayout and axial dimensions of the countershaft carrying two spur gears has beenproposed, as shown in Fig. 7-10. The gears and bearings are located and supportedby shoulders, and held in place by retaining rings. The gears transmit torquethrough keys. Gears have been specified as shown, allowing the tangential andradial forces transmitted through the gears to the shaft to be determined asfollows.Bearing Awhere the superscripts tand rrepresent tangential and radial directions,respectively; and, the subscripts 23 and 54 represent the forces exertedby gears 2 and 5 (not shown) on gears 3 and 4, respectively.Proceed with the next phase of the design, in which a suitable materialis selected, and appropriate diameters for each section of the shaft areestimated, based on providing sufficient fatigue and static stress capacityfor infinite life of the shaft, with minimum safety factors of 1.5.D₁ D₂Datum0.250.751.251.752.0W480 lbfW₂₁3 = 197 lbfCADEFGear 3d; = 12.5 in-02.75OSG HD₁W$4 = 2099 lbfW54 = 885 lbfFigure 7-10Shaft layout for Ex. 7-2. Dimensions in inches.7.50IGear 4d₂ = 2.7 in8.50J9.509.75Bearing BD₁D₂10.2510.7511.2511.50K L M BN

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Mechanical Engineering

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

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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Question

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

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