Question

Question #5 (20 pts) A pinion has 18 teeth and a diametral pitch of 9 teeth/in, a face width of 1,5 in sa pressure angle of 20° with full-depth teeth. The spur gear is made by the milling or emin required to transmit at least 11 hp horsepower with a corresponding speed and moderate applications. Which material is the best choice for the spu ones in Table 5 considering the maximum allowable bending stres (factor of safety, nd-2.5)? U quations are provided on the following page. Explain why for the application. Show all your work. Student ID of 2,800 rev/m se the Lewis equation for stress estimation. All the necessary the material is the best choide r gear a Table 4: Values of Lewis form factor Y (pressure angle 20, full-depth teeth). Number of Number of 13 0.261 15 16 17 0.290 0.303 50 75 0314 0.460 s0 0.328 0.331 24 26 0.346 1 CD steels or some HRG imm terati Table 5: Minimum tensile and yield s b 030 in Area,% Hardness Strength, Strength, Elongation Reductien Brinel No. AISI No. Processing MPa (kpsi) MPa (kpsit in 2m, HR 300 (43) 170 (24) CD 330 (48) 280 (41 HR 320 (47)180 (26) CD 370 (53) 300 (44) 0.31 G10060 1006 105 033 0.34 G10100 1010 G10150 1015 50 0.37 220(32) HR400(55) 0.38 HR 380 (55) 210 (3o) 1970A0 G10200 1020 140 041 35 042 043 143 163 cation Stud ent ID: 【13-11 13-2) (13-3 where P diametral pitch, teeth per inch Nnumber of teeth I pitch diameter, in or mm 13-4 mmodule,mm p circular pitch, in or mm (13-34 where V pitch-line velocity. f/min d = gear diameter. in ngear speed, rev/min 600+ (14-40) (cast iron, cast profile) K ,-1200 + V K. '_ (14-Abl (cut or milled profile) A.-1120_ 14-50 (hobbed or shaped profile) (14-7) (13-35) W, 33000 Wi-transmitted load, lbf H- power. hp V- pitch-line velocity, ft/min where

Answer 1

Soluhon :- face width (F) =h5ún gun(n)-ユgoo p.pm. Cavstion 13. Speed P- N PHA diameter, d= 2nd. So 13:34 ㅠ (2) (2400) 12- ft/min 1466 V, nL 22 12-0o

So wt= 31000 h = 247, 6 lbf y=0.2 og Ge (2-2) (2471) (9 10 613 Ps 1.S0.309 2 maloiol me

So we need to Kaled- chu maton'ad orm anal 0 ad minimum. So We ubostenmote at we must use