Question

READ SECTION 9.8 PROBLEM Design a compound gear train. -120:1 ratio and diametral pitch of 5 teeth inch Use the minimum number of pinion teeth allowed to avoid interference for a 20º pressure angle (see Table 9-5a in text) Specify number of teeth and pitch diameters. Draw a scaled side-vier wing circle template or compass and corresponding top-view using a ruler Take note of the proper positive -120:1 direction sense of input to output Recall that any single mating pair cannot exceed 10:1 Present your solution on the next page Only scan or save the next page for your e- submission - Page Tooth Comt (teeth) N- N- NS- Pilch Dianeler (indies) d- Side view Top view →

Answer 1

Solution:- The given problem has been solved using the standard formulas used in designing the compound gear trains. Side view and top view of the compound gear train has been drawn.

Solutions Given dartar Gear ratio, mg = 120 Diametral pitch, pd = s teeth/ Inch As it is given that there are 4 stages, so we need to write the multiplication factors of 1so. 120= 2X3 X4 X 5 So, stage a ratio : N3 = d3=2 N₂ where Ni= No. of teeth of any gear of pinion with i = 2, 3, 4,5, 6, 7, 8 di= Pitch circle diagnetre of any gear os pinion with State & ratio ooi = 2,3,4,5,6,7,8 No 2= ds = 3 Na dy Stage 3 ratio i Ny dz Stooge 4 satis en maga s

As we diametral pitch is a Pa= N given by : using minimum no. of teeth ou pinion in order to avoid interference from the standard table for zoo pressure angle full depth. Taking N= is for pinion for first stage Stage 1 : N3=2 » N3.=2N₂ 3= 2x is Ny=30 d= N dz= N2 = 18 - dz= 3 such e = 6 Inch for Stege 2 : N5 = 3 Ny Take = N=15 for pission Ns=3x Ny Ns = 3x15 = 45

cs = dy = Ny = 15 = 3 Inch us 9 Inch For stage 3 Take N= 16 for pinion Ny=4 Ny=400 No Ny = 4x 16=64 dos homens = 3.2 Inch dy = M = 64 = 1218 Euch. for stage uis Taxe N=16 for pinion Ng = 5 -> Ng = Sx Ng Ng=5X 16 Ng=80 de = tem 16 = 3.2 Inch. 19= 19 page = 80 = 16 Inche ' No. of teeth Pinion | N2 = 15 Gear 3 | N3=30 Piniony Ny = 15 Gears I No=45 Pinions | N6=16. Gear 7 Ny = 64 Pinions Ng = 16 i Diameter. . (Inches) dz=3 d3=6 dy=3 ds=ig d6= 3.2 dy = 1218 08 = 3,2 dg = Gearg Ng = 80 16

Checking over all gears section = por uma boa = 24 2x445 = 120 so design is ok. Compound Gears doiving Pingou A dla gay ta d h dg & 27 37 ds to do J SIDE VIEW TOP VIEW