Question

QUESTION: Can someone explain how they found the reaction forces in this solution? (Raz,Ray,Rbz,Rby). Please explain step by step and with diagrams/words.

d

Solution 23 Perform free body diagram analysis to get reaction forces at the bearings. 23 54 RAz = 1 15.0 lbf RAv 356.7lbf Ay 54 RBy 725.3bf Вс From ΣΜχ, find the torque in the shaft between the gears, 3240 3240 lbf in.. double reduction gearbox design has developed to the point that the general ayout 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 W., = 540 lbf W54 2431 bl W54885lbf W22 197 lbf where the superscripts t and r represent 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 Bearing A Bearing B Gear 3 d3 12 Gear 4 d4- 2.67 Di D DoD 4 C A D EF GH KL MB N

Answer 1

米YOU NEED TO CONSTDER THE HORIZONTAL IVERTICAL PLANES DIFFERENTLY. → VERTICAL PLANE (x-γ) Rry Wsa Rey = 725.275 356 725 うHOR120NTAL PLANE (X-Z , →25,OS40す