Three shafts and three gears are used to form a gear train that will transmit power from the motor at A to a machine tool at E (bearings for the shafts are omitted in the sketch). AB is a hollow titanium (G = 44 GPa) shaft with outer diameter di and thickness 20 mm, BC is solid steel (G = 78 GPa) shaft with diameter dz, while DE is solid brass (G = 41 GPa) shaft with diameter dz. The powers utilized by gears B and C are Peand Pc, respectively. The diameters of gears B, C, and D are da, de, and do, respectively. Determine the following: a) power (kW) supplied by the motor at A if it rotates 24 cycles per second b) torque (kN-mm) taken at E c) assuming that E is a fixed end, the angle of rotation (*) of gear C PB = 9.8 kW PC = 8.4 kW dB = 108 mm A D dc = 164 mm dD = 104 mm B di dz E d1 = 88 mm d2 = 64 mm LAB= 800 mm Lạc= 750 mm LoE= 650 mm
Three shafts and three gears are used to form a gear train that will transmit power from the motor at A to a machine tool at E (bearings for the shafts are omitted in the sketch). AB is a hollow titanium (G = 44 GPa) shaft with outer diameter di and thickness 20 mm, BC is solid steel (G = 78 GPa) shaft with diameter dz, while DE is solid brass (G = 41 GPa) shaft with diameter dz. The powers utilized by gears B and C are Peand Pc, respectively. The diameters of gears B, C, and D are da, de, and do, respectively. Determine the following: a) power (kW) supplied by the motor at A if it rotates 24 cycles per second b) torque (kN-mm) taken at E c) assuming that E is a fixed end, the angle of rotation (*) of gear C PB = 9.8 kW PC = 8.4 kW dB = 108 mm A D dc = 164 mm dD = 104 mm B di dz E d1 = 88 mm d2 = 64 mm LAB= 800 mm Lạc= 750 mm LoE= 650 mm
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.12P
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