Question

Consider the simplified transmision sample problem shown in Figure 1 below. In this figure, mating gears were shown to only exert tangential forces on each other. In reality, mating spur gear teeth will exert both tangential forces and radial forces2 due to the involute profile shape of the teeth (see Chapter 15, Figure 15.7). Let the diameters of gears B and D be 4.25 in while the diameters of gears A and C be 2.25 in. All other dimensions and the input torque are shown in the Figure (20 pts) For the purposes of shear and bending moments, model the shaft supporting gears A and D as a single ("effective") shaft. Develop and plot shear and bending moment diagrams for shear and bending in the horizontal (xz) plane (-(Cr)and My(x)) and for bending in the vertical (x-y) plane ( (x) and M,(x) for both the "effective" shaft and for the shaft p asa single effecive' sa Dev in the horizontal (r -2) plane( and bng im M,C) and for bending in supporting gears B and C. Assume x0 corresponds to the bearing locations II and IV. Tinput 4150(lbf. in) house Transmission in low gear T (output) a 1.5 in b = 4 in. c = 1.5 in. in. 2 IV ABz output Iu BAz DCz Ilz e) FIv Figure 1: Transmission Example

Answer 1

Sofuhon .: Gn ven that, - 6563 Ky 311,9 + 656,3 - 318.42 kg P. = 0.6m lo Kp h8 Cs Scanned with CamScanner

z m 3 8600 = m7 (27729-670-38) rg ma- ho mt x 089 = 16-352. Cs Scanned with CamScannér