Solved: The double-reduction helical gearset shown in the

Chapter 13, Problem 13-16

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QUESTION:

The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 700 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a \(30^{\circ}\) helix angle, and a normal pressure angle of \(20^{\circ}\). The second pair of gears in the train, gears 4 and 5 , have a normal diametral pitch of 8 teeth/in, a \(25^{\circ}\) helix angle, and a normal pressure angle of \(20^{\circ}\). The tooth numbers are: \(N_2=12, N_3=48, N_4=16, N_5=36\). Find:

(a) The directions of the thrust force exerted by each gear upon its shaft

(b) The speed and direction of shaft c

(c) The center distance between shafts

                   

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QUESTION:

The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 700 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a \(30^{\circ}\) helix angle, and a normal pressure angle of \(20^{\circ}\). The second pair of gears in the train, gears 4 and 5 , have a normal diametral pitch of 8 teeth/in, a \(25^{\circ}\) helix angle, and a normal pressure angle of \(20^{\circ}\). The tooth numbers are: \(N_2=12, N_3=48, N_4=16, N_5=36\). Find:

(a) The directions of the thrust force exerted by each gear upon its shaft

(b) The speed and direction of shaft c

(c) The center distance between shafts

                   

ANSWER:
b and c

(a)
The direction of the thrust force exerted by Gear 2 upon its shaft (A) is downward.
The direction of the thrust force exerted by Gear 3 upon its shaft (

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