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Unformatted text preview: on of B; 511.5 N-m in opposite direction of B] Fig. 13.44
17. Fig. 13.45 An epicyclic gear train, as shown in Fig. 13.46, consists of two sunwheels A and D with 28 and 24
teeth respectively, engaged with a compound planet wheels B and C with 22 and 26 teeth. The sunwheel 478 l Theory of Machines D is keyed to the driven shaft and the sunwheel A is a fixed wheel co-axial with the driven shaft. The
planet wheels are carried on an arm E from the driving shaft which is co-axial with the driven shaft.
Find the velocity ratio of gear train. If 0.75 kW is transmitted and input speed being 100 r.p.m.,
determine the torque required to hold the sunwheel A .
[Ans. 2.64 ; 260.6 N-m] Fig. 13.46
18. Fig. 13.47 In the epicyclic reduction gear, as shown in Fig. 13.47, the sunwheel D has 20 teeth and is keyed
to the input shaft. Two planet wheels B , each having 50 teeth, gear with wheel D and are carried
by an arm A fixed to the output shaft. The wheels B also mesh with an internal gear C which is
fixed. The input shaft rotates at 2100 r.p.m. Determine the speed of the output shaft and the torque
required to fix C when the gears are transmitting 30 kW.
[Ans. 300 r.p.m. in the same sense as the input shaft ; 818.8 N-m] 19. An epicyclic gear train for an electric motor is shown in Fig. 13.48. The wheel S has 15 teeth and is
fixed to the motor shaft rotating at 1450 r.p.m. The planet P has 45 teeth, gears with fixed annulus A
and rotates on a spindle carried by an arm which is fixed to the output shaft. The planet P also gears
with the sun wheel S . Find the speed of the output shaft. If the motor is transmitting 1.5 kW, find the
torque required to fix the annulus A .
[Ans. 181.3 r.p.m. ; 69.14 N-m] Fig. 13.48
20. Fig. 13.49 An epicyclic gear consists of bevel wheels as shown in Fig. 13.49. The driving pinion A has 20 teeth
and meshes with the wheel B which has 25 teeth. The wheels B and C are fixed together and turn freely
on the shaft F. The shaft F can rotate freely about the main axis X X. The wheel C has 50...
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This note was uploaded on 02/13/2014 for the course MIE 301 taught by Professor Celghorn during the Fall '08 term at University of Toronto- Toronto.
- Fall '08