D-100mm Tout P = 2kW @2000rpm VA || IV VI 240mm D=80mm 108mm 7 54mm...
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D₁-100mm Tout P = 2kW @2000rpm ←← VA || IV VI 240mm D₁=80mm 108mm 7 54mm D₁-200mm ||| V ←← D₂=160mm Fixed Housing Tin = ? Win = ? Spur Gears Figure 1: Gearbox with four spur gears, an input shaft, an intermediate shaft, and output shaft. Each shaft is simply supported by bearings at locations I-VI. In this example, the spur gears have mating teeth that will exert both tangential and radial forces due to the involute profile shape of the teeth (see Chapter 15, Figures 15.3 - 15.8). Assume a 30-degree pressure angle between the mating gears. The application for this gearbox requires 2 kW with a rotational speed of 2000 rpm as output from the output shaft. Tin represents an input torque applied by a motor to the input shaft. Assume all gears have a width of 12mm. 4. Determine the location and value of maximum total bending moment in each shaft. Hint: Moment is a vector and in part b) you have calculated the y- and z- components. The x-component was determined in part c). However, torque produces shaft torsion only; it does not contribute to the shaft bending and therefore does not vectorially contribute to the total bending moment. D₁-100mm Tout P = 2kW @2000rpm ←← VA || IV VI 240mm D₁=80mm 108mm 7 54mm D₁-200mm ||| V ←← D₂=160mm Fixed Housing Tin = ? Win = ? Spur Gears Figure 1: Gearbox with four spur gears, an input shaft, an intermediate shaft, and output shaft. Each shaft is simply supported by bearings at locations I-VI. In this example, the spur gears have mating teeth that will exert both tangential and radial forces due to the involute profile shape of the teeth (see Chapter 15, Figures 15.3 - 15.8). Assume a 30-degree pressure angle between the mating gears. The application for this gearbox requires 2 kW with a rotational speed of 2000 rpm as output from the output shaft. Tin represents an input torque applied by a motor to the input shaft. Assume all gears have a width of 12mm. 4. Determine the location and value of maximum total bending moment in each shaft. Hint: Moment is a vector and in part b) you have calculated the y- and z- components. The x-component was determined in part c). However, torque produces shaft torsion only; it does not contribute to the shaft bending and therefore does not vectorially contribute to the total bending moment.
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
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