Question

6.6 A 20° full depth spur pinion is required to transmit 1.8 kW at a speed of 1100 rpm. If the pinion has 18 teeth and is manufactured from heavy duty 817M40 steel select a suit- able gear from the limited choice given in Lewis formula, if the bending stress should not exceed 75 MPa. width 20 mm L able 6.8 Spur gears: 15 module, heavy duty steel 817M40, 655SM13, face w Bore Outer Boss PCD d number Teeth (mm) PCD diameter diameter diameter Part Part rab number Teeth (mm) (mm) (mm) (mm) SG1.5-47 47 70.50 SG1.5-48 48 7200 5 SG1.5-49 49 7350 765 SG1.5-50 50 7G SG1.5-51 51 76.50 95 SG1.5-52 52 7800 80G SG1.5-53 53 79.50 8250 G SG1.5-54 54 8100 B400 SG1.5-9 9 15.00 18.00 18 SG1.5-10 1o 1650 19.50 19.5 SG1.5-12 12 18.00 21.00 21 SG1.5-13 13 19.50 22.50 20 -$G1.5-14 14 21.00 24.00 20 SG1.5-15 15 22.50 25.50 20 SG1.5-16 16 24.00 27.00 25 SG1.5-17 17 25.50 28.50 25 SG1.5-18 18 27.00 3000 25 SG15-19 19 28.50 31.50 25 SG1.5-20 20 3000 33.00 25 SG15-21 21 5034.50 25 SG1.5-22 22 3300 36.00 30 SG1.5-23 23 34.50 37.50 30 SG1.5-24 24 36.00 39.00 30 SG15-25 25 37.50 40.50 30 SG15-26 26 3900 42.00 30 SG15-27 27 40.50 43.50 30 SG1.5-28 28 42.00 45.00 30 SG15-29 29 43.50 4650 30 SG1.5-30 30 45.00 48.00 30 SG1.5-31 31 4650 49.50 30 SG1.5-32 32 4800 5100 30 SG1.5-33 33 49.50 52.50 30 SG1.5-34 34 51.00 54.00 30 SG1.5-35 35 52.50 55.50 50 SG15-36 36 54.00 57.00 50 SG15-37 37 55.50 58.50 50 G2 SG1 5.55 55 8 80G SG1.5-56 56 8400 8700 SG1.5-57 57 85.50 B850 C SG1.5-58 58 8700 9000 SG1.5-59 59 8850 9150 SG15-60 60 9000 9300 E,İG SG1.5-62 62 93.00 9600 SG1.5-64 64 96.00 9900 G SG1.5-65 65 9750 100.50 SG1.5-66 66 9900 10200 SG1.5-68 68 102.00 105.00 SG1.5-70 70 105.00 108.00 SG1.5-71 71 106.50 109.50 SG1.5-72 72 108.00 111000 10 SG1.5-73 73 109.50 112.50 SG1.5-74 74 111.00 11400 SG1.5-75 75 112.50 11550 6 SG1.5-76 76 11400 11700 SG1.5-78 78 11700 12000 SG1.5-80 80 120.00 12300 1 SG1.5-86 86 12900 13200 SG1.5-90 90 135.00 13800 10 15 G152 34 4950 45-38-38 5700 SG1.5-39 39 58.50 61.50 50 SG1.5-40 40 60.00 63.00 50 SG15-41 41 61.50 64.50 50 SG15-42 42 6300 66.00 50 5G15-43 43 6450 67.50 50 SG15-44 44 66.00 69.00 50 SG1.5-45 45 6.50 70.50 50 SG15-46 46 69.00 7200 50 15 15 15 SG1·5.96 96 144.00 147.00万 SG1.5-98 98 14700 15000 15 SG1.5-100 100 15000 153.00 SG1.5-105 105 15750 16050 SG1.5-110 110 165.00 16800 SG1.5-115 115 175.50 17850 SG1.5-120 120 180.00 18300 15 15 2.0 module. heavy duty steel 817M40, 655M13, face width 25 mm 127 Outer Boss Bore PCD diameter diameter diameter Outer Boss reth (nm) (mm) (mm) (mm) ur Part number Teeth (mm) (mm) (mm) (mm) Bore PCD diameter diameter diameter 2000 2400 24 2200 26.00 26 SG2-47 47 9400 98000 SG2-48 48 96.00 100.00 0 SG2-49 49 9800 102.00 60 SG2-50 50 100.00 10400 60 SG2-51 51 102.00 106.00 6020 SG2-52 52 104.00 10800 60 5G2-53 53 1060011000 60 SG2-54 54 108.00 11200 60 SG2-55 55 110.00 11400 60 SG2-56 56 112.00 116.00 60 SG2-57 57 11400 11800 60 SG2-58 58 11600 12000 60 SG2-59 59 11800 12200 60 SG2-60 60 120.00 124.00 60 SG2-62 62 12400 128.00 75 SG2-64 64 12800 13200 75 SG2-65 65 130.00 134.00 75 SG2-66 66 132.00 136.00 75 SG2-68 68 136.00 14000 75 SG2-70 70 14000 144.00 75 SG2-71 71 142.00 146.00 75 SG2-72 72 144.00 148.00 75 SG2-73 73 14600 15000 75 24.00 28.00 28 30 30.00 34.00 30 G 1 2400 2800 28 13 2600 3000 15 15 17 17 32.00 36.00 30 34.00 38.00 35 3600 40.0035 20 19 38.00 4200 35 20 40.00 4400 35 21 4200 46.00 35 22 4400 48.00 35 20 15 S 3 23 4600 5000 35 24 48.00 52.00 35 525 25 5000 54.00 35 20 15 1 15 20 20 20 20 20 20 20 20 26 52.00 56.00 35 57 27 5400 58.00 50 15 28 56.00 60.00 50 15 $19 29 58.00 6200 50 15 30 6000 64.00 50 15 31 31 6200 66.00 50 5 952 32 32 64.00 68.00 50 15 $113 33 66.00 7000 50 15 4 34 68.00 72.00 50 5 93 35 7000 7400 50 336 72.00 76.00 50 74.00 78.00 50 80.00 50 5 3939 78.00 82.00 50 5 104 40 8000 8400 50 4141 82.00 86.00 50 SG2-74 74 148.00 152.00 75 SG2-75 75 15000 154.00 75 SG2-76 76 15200 156.00 75 20 20 SG2-78 78 156.00 160.00 100 20 SG2-80 80 160.00 164.00 100 20 SG2-86 86 172.00 176.00 100 SG2-90 90 180.00 18400 100 SG2-96 96 192.00 196.00 100 20 20 SG2-98 98 196.00 200.00 100 SG2-100 100 200.00 20400 100 SG2-105 105 210.00 214.00 100 20 SG2-110 110 22000 22400 100 20 20 20 20 20 42 8400 88.00 50 43 8600 90.00 60 20 SG2-115 115 23000 234.00 100 SG2-120 120 24000 244.00 100 88.00-92:00-60 90.00 9400 60 20 92.00 96.00 60 rs: 1.0 module, heavy duty steel 817M40, 655M13, face width 15 mm Outer Boss PCD diameter diameter diameter Part Bore 125 PrtTeeth (mm) (mm) (mm) Outer Boss Bor er PCD diameter diameter diameter number Teeth (mm) (mm) (mm) m) 1000 12.00 12 10100 1300 13 12.00 14.00 14 SG1-46 446.00 48.00 30 SG1-47 47 4700 49.00 30 SG1-48 48 48.00 50.00 30 5G1-49 49 49.00 51.00 30 SG1-50 50 5000 5200 35 SG1-51 51 51.00 53.00 35 SG1-52 52 5200 5400 35 SG1-53 53 5300 5500 35 SG1-54 54 54.00 5600 35 10 SG1-55 55 55.00 57.00 35 SG1-56 6 56.00 58.00 35 SG1-57 57 57.00 5900 35 SG1-58 58 5B.00 60.00 35 SG1-59 59 5900 6100 35 SG1-60 60 6000 6200 35 SG1-61 61 61.00 63.00 35 SG1-62 62 62.00 64.00 35 SG1-63 63 6300 65.00 35 SG1-64 64 64.00 66.00 35 SG1-65 65 65.00 6700 35 112 12.00 14.00 14 13.00 15.00 15 G11311 1400 160016 15.00 1700 17 16.00 18.00 18 17.00 19.00 18 18 18.00 20.00 18 19.00 21.00 18 2000 22.00 20 1 21 21.00 23.00 20 22.00 24.00 20 3 23.00 25.00 20 10 10 124 24 2400 26.00 20 '1,3525 25.00 27.00 20 16 26 26.00 28.00 25 61-27 27 27.00 29.00 25 G1-28 28 28,00 30.00 25 0129 29 2900 31.00 25 5G1-3030. 30.00 32.00 25 131 31 31.00 33.00 25 SG1-32 32 32.00 34.00 25 G133 33 33.00 35.00 25 SG1-66 66 66.00 68.00 35 SG1-68 68 68.00 7000 35 SG1-70 70 7000 72.00 3S SG1-72 72 7200 7400 35 SG1-74 74 74.00 7600 45 SG1-76 76 7600 78.00 45 SG1-78 78 78.00 8000 45 SG1-80 80 80.00 82.00 45 SG1-84 84 84.00 8600 45 5 34 34 34.00 36.00 25 35 35.00 3700 25 SG1.36 36 36.00 38.00 30 61-37 37 37.00 39.00 30 30 SG1-88 88 8800 90.00 45 SG1-90 90 9000 9200 45 SG1-96 96 96.00 98.00 45 SG1-100 100 100.00 102.00 45 19 39 39.00 41.00 30 5140 40 4000 42.00 30 .1 %14141 41.00 43.00 30 SG1-112 112 112.00 114.00 45 SG1-120 120 12000 12200 45 42 42 4200 44.00 30 86143 43 43.00 45.00 44 44 4400 46.00 30 30 SG1-130 130 13000 132.00 45 SG1-150 150 150.00 152.00 45 4S 45.00 4700 30 Table 6.6 Values for the Lewis form factor Y defined for two different tooth standards (Mitchener and Mabie, 1982) Y(φ=20°; N, number of teeth 0.22960 0.24317 025530 0.26622 0.27610 0.28508 0.29327 0.30078 0.30769 0.31406 0.31997 0.33056 0.33979 0.34790 0.35510 0.36731 0.33512 0.34827 0.35985 0.37013 0.37931 0.38757 0.39502 0.40179 0.40797 0.41363 0.41883 0.42806 043601 0.44294 0.44902 0.45920 12 13 15 17 18 19 20 21 24 26 28 30 38 45 50 60 75 100 150 300 Rack 0.47846 0.48458 0.49391 0.50345 0.51321 0.52321 053348 0.54406 0.39093 0.39860 41047 0.42283 0.43574 0.44930 0.46364 0.47897 a, addendum; b, dedendum, d, pressure angle: m, module. where Vis the 11

Answer 1

60 6 0 1 8 O 4S om aata m 126 IS 674 m 2 00

IS - Module tumo