FLEXIBLE MACHINE ELEMENTS FLEXIBLE MACHINE ELEMENTS 21.61 TABLE 21-37 Round strand galvanized steel wire ropes for shipping purposes Tensile strength of wire, 1373–1569 MPa (140–160 kgf/mm2) Approx weight Diameter of wire, mm N/m 10 11 12 14 16 18 20 22 24 26 28 32 36 40 2.2 2.8 3.3 4.0 5.1 5.8 8.7 10.9 13.9 16.6 19.5 22.8 27.1 34.7 44.5 54.3 kgf/m kN 6Â7 0.22 0.28 0.34 0.41 0.52 0.69 0.89 1.11 1.42 1.69 1.99 2.32 2.76 3.54 4.54 5.54  19 10 11 12 14 16 18 20 22 24 26 28 32 36 40 44 48 52 60 Breaking strength of rope, 1.9 0.20 2.8 0.29 3.4 0.35 3.9 0.40 5.1 0.52 6.5 0.66 8.8 0.90 10.6 1.08 13.5 1.38 15.7 1.60 19.2 1.96 23.1 2.36 26.0 2.65 33.7 3.44 42.4 4.32 54.1 5.52 65.1 6.64 78.0 7.95 90.0 9.18 104.0 10.61 kgf Fiber core 31.0 38.8 47.1 56.9 72.6 96.1 123.6 154.0 198.1 236.3 278.5 323.6 385.4 494.3 634.5 773.9 3150 3950 4800 5800 7400 9800 12600 15700 20200 24100 28400 33000 39300 50400 64700 78900 Fiber core 28.0 2850 40.2 4100 47.3 4800 53.9 5500 71.1 7250 90.2 9200 122.6 12500 147.1 15000 188.3 19200 218.7 22300 267.7 27300 321.6 32800 360.9 36800 468.8 47800 588.4 60000 664.9 67800 905.2 92300 1084.6 110600 1251.3 127600 1446.5 147500 Approx weight N/m kgf/m kN 16  12 1.5 2.1 2.5 2.8 3.7 4.7 6.4 7.6 9.8 11.4 13.9 16.8 18.7 24.3 30.6 39.0 0.15 0.21 0.25 0.29 0.38 0.48 0.65 0.78 1.00 1.16 1.42 1.70 1.91 2.48 3.12 3.98  24 2.2 2.6 3.1 3.7 4.4 5.9 8.4 10.4 12.7 15.0 17.7 22.0 25.1 32.0 41.8 50.5 60.1 73.3 84.7 97.0 Breaking strength of rope, 0.22 0.27 0.32 0.38 0.45 0.60 0.86 1.06 1.29 1.53 1.80 2.24 2.56 3.26 4.26 5.15 6.13 7.47 8.64 9.90 kgf Fiber core 18.1 26.0 30.4 35.3 46.1 58.4 79.4 95.6 122.1 141.7 173.6 208.9 234.4 304.0 382.5 489.4 1850 2650 3100 3650 4700 5950 8100 9750 12450 14450 17700 21300 23900 31000 39000 49900 Fiber core Approx weight N/m kgf/m kN  13 5.1 7.8 9.4 12.4 14.9 18.5 21.0 25.5 30.5 39.4 40.1 61.6 Breaking strength of rope, 0.52 0.80 0.96 1.26 1.52 1.89 2.14 2.60 3.11 4.02 4.09 6.28  37 28.4 2900 2.3 0.23 34.8 3550 2.9 0.30 42.2 4300 3.3 0.34 50.0 5100 4.1 0.42 58.8 6000 5.0 0.51 78.5 8000 7.0 0.71 112.8 11500 9.3 0.95 140.2 14300 12.0 1.22 169.7 17300 14.9 1.52 201.0 20500 18.2 1.86 238.3 24100 20.0 2.04 294.2 30000 23.8 2.43 336.9 34300 28.0 2.85 428.6 43700 37.2 3.79 599.0 57000 47.8 4.87 676.7 69000 56.6 5.77 806.1 82200 69.5 7.09 982.6 100200 83.9 8.55 1136.6 115900 95.2 9.71 1301.3 132700 111.7 11.39 kgf Fiber core 72.6 109.8 132.4 174.6 209.9 261.8 295.2 361.9 429.5 555.1 703.1 867.9 7400 11200 13500 17800 21400 26700 30100 36900 43900 56600 71700 88500 Fiber core 31.9 41.2 47.1 58.4 70.6 98.1 31.4 168.7 256.9 256.9 282.4 336.4 394.2 524.7 674.7 798.3 981.6 1183.7 1344.5 1577.9 Approx weight N/m kgf/m kN 7Â7 3.7 4.4 5.7 7.6 9.7 12.1 15.5 18.5 21.9 25.4 30.2 38.7 49.7 Breaking strength of rope, 0.38 0.45 0.58 0.77 0.99 1.23 1.58 1.89 2.23 2.59 3.08 3.95 5.07  19 Fiber core 52.0 62.8 80.4 106.9 137.3 171.6 219.7 262.8 308.9 359.9 427.6 548.2 704.1 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 5300 6400 8200 10900 14000 17500 22400 26800 33500 36700 43600 56000 71800 Wire core 3250 4200 4800 5950 7200 7.3 0.74 101.5 10000 9.9 1.01 138.3 13400 11.9 1.21 165.7 17200 15.2 1.55 211.8 26200 17.7 1.80 245.2 26200 20.8 2.12 289.3 29900 26.0 2.65 361.9 34300 29.1 2.97 406.0 40200 37.9 3.86 526.6 53500 47.6 4.85 662.9 68800 60.8 6.20 847.3 81400 73.1 7.45 1027.7 100100 86.3 8.80 1203.3 120700 101.0 10.30 1407.3 137100 116.6 11.89 1625.0 160900 133.8 13.59 1857.4 Source: IS 2581, 1968 kgf 10350 14100 16900 21600 25000 29500 36900 41400 53700 67600 86400 104800 122700 143500 165700 189400 FLEXIBLE MACHINE ELEMENTS 21.62 CHAPTER TWENTY-ONE TABLE 21-38 Dimensions and breaking strength of flat balancing wire ropes Nominal size b  s,a mm Constructions Doublestitched Singlestitched Approximate weight Diameter of the wire, mm Cross section of the strand, mm2 Double-stitched N/m kgf/m Single-stitched N/m kgf/m Minimum breaking strength of rope kN kgf 6Â4Â7 70  17 74  18 78  19 82  20 87  21 91  22 95  23 70  15 74  16 78  17 82  18 87  19 91  20 95  21 1.60 1.70 1.80 1.90 2.00 2.20 2.20 338 381 427 477 528 581 638 34.3 39.2 44.1 49.0 53.9 59.8 65.7 3.5 4.0 4.5 5.0 5.5 6.1 6.7 33.3 37.3 42.2 47.1 52.0 56.9 62.8 3.4 3.8 4.3 4.8 5.3 5.8 6.4 463.9 522.7 585.5 654.1 724.7 797.2 875.7 47300 53300 59700 66700 73900 81300 89300 8Â4Â7 110  20 113  20 116  21 119  21 122  22 125  22 128  23 110  18 113  18 116  19 119  19 122  20 125  20 128  21 1.90 1.95 2.00 2.05 2.10 2.15 2.20 636 670 703 739 775 812 851 65.7 68.7 72.6 76.5 79.4 83.4 87.3 6.7 7.0 7.4 7.8 8.1 8.5 8.9 62.8 65.7 68.7 72.6 76.5 79.4 83.4 6.4 6.7 7.0 7.4 7.8 8.1 8.5 872.8 919.9 956.0 1014.0 1064.0 1116.0 1168.0 89000 93800 98400 103400 108500 113800 119100   12 112  26 115  26 118  27 121  27 124  28 127  28 130  29 112  23 115  23 118  24 121  24 124  25 127  25 130  26 1.90 1.95 2.00 2.05 2.10 2.15 2.20 818 861 904 950 996 1045 2094 84.3 88.3 98.2 98.1 103.0 107.9 112.8 8.6 9.0 9.5 10.0 10.5 11.0 11.5 80.4 84.3 88.3 93.2 98.1 103.0 106.9 8.2 8.6 9.0 9.5 10.0 10.5 10.9 1122.9 1181.7 1240.5 1304.3 1367.0 1439.6 1483.7 114500 120500 126500 133000 139400 146300 151300   12 146  26 149  26 154  27 157  27 160  28 165  28 168  29 146  23 149  23 154  24 157  24 160  25 165  25 168  26 1.90 1.95 2.00 2.05 2.10 2.15 2.20 1091 1148 1206 1267 1329 1394 1459 112.8 118.7 124.5 130.4 137.3 143.2 150.0 11.5 12.1 12.7 13.3 14.0 14.6 14.3 106.9 112.8 118.7 124.5 130.4 136.3 143.2 10.9 11.5 12.1 12.7 13.3 13.9 14.6 1497.5 1575.9 1655.4 1738.7 1824.0 1913.3 2002.5 152700 160700 168800 177300 186000 195100 204200   14 160  27 164  28 168  28 172  29 176  29 180  30 184  30 160  24 164  25 168  25 172  26 176  26 180  27 184  27 1.90 1.95 2.00 2.05 2.10 2.15 2.20 1272 1340 1407 1478 1550 1626 1702 131.4 138.3 145.1 152.0 159.8 167.7 175.5 13.4 14.1 14.8 15.5 16.3 17.1 17.9 124.6 131.4 138.3 145.1 152.0 159.9 166.7 12.7 13.4 14.1 14.8 15.5 16.3 17.0 1745.5 1842.2 1930.9 2029.0 2188.0 2232.0 2335.9 178000 187800 196900 206900 217000 227600 238200   91 186  31 190  32 194  33 186  28 190  29 194  30 1.90 1.95 2.00 1727 1818 1909 177.5 187.3 191.1 18.1 19.1 20.1 169.7 178.5 187.3 17.3 18.2 19.1 2377.3 2495.8 2620.3 251700 254500 267200 a b ¼ width of rope, s ¼ thickness of rope Source: IS 5203, 1969 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS FLEXIBLE MACHINE ELEMENTS 21.63 TABLE 21-39 Dimensions and breaking strength of flat hoisting wire ropes Construction Nominal size, b  s, mm Weight Minimum breaking strength of ropea Nominal wire diameter, mm Cross section of strand, mm2 N/m kgf/m kN kgf 6Â4Â7 52  10 56  11 60  12 65  14 70  15 74  16 78  16 82  18 87  19 91  20 95  21 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 190 223 259 297 338 381 427 477 528 581 638 18.6 21.6 25.5 29.4 33.3 37.3 42.2 47.1 52.0 56.9 62.8 1.9 2.2 2.6 3.0 3.4 3.8 4.3 4.8 5.3 5.8 6.4 298.1 349.1 406.0 465.8 529.6 597.2 669.8 748.2 827.7 911.0 1000.3 30400 35600 41400 47500 54000 60900 68300 76300 84400 92900 102000 8Â4Â7 70  10 75  11 80  12 86  14 92  15 98  16 104  17 110  18 116  19 122  20 128  21 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 253 298 345 396 450 508 569 636 703 775 851 24.5 29.4 34.3 39.2 44.1 50.0 55.9 62.8 68.6 76.5 83.4 2.5 3.0 3.5 4.0 4.5 5.1 5.7 6.4 7.0 7.8 8.5 396.2 466.8 541.3 620.8 706.1 796.3 892.4 997.3 1102.3 1216.0 1333.7 40400 47600 55200 63300 72000 81200 91000 101700 112400 124400 136600 a Rope having wires of tensile strength of 1569 MPa (160 kgf/mm2 ) Source: IS 5202, 1269 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS 21.64 CHAPTER TWENTY-ONE TABLE 21-40 Tensile grade Tensile strength range Grade of wire MPa kgf/mm2 120 140 160 180 200 1176.8–1471.0 1372.9–1078.7 1569.1–1863.3 1765.2–2059.4 1961.3–2353.6 120–150 140–170 160–190 180–210 200–240 TABLE 21-41 Values of C for wire ropes Rope diameter, mm C Rope diameter, mm C 9.50 11.11 12.70 14.30 1.090 1.083 1.076 1.070 15.90 19.00 22.20 25.40 1.064 1.054 1.046 1.040 TABLE 21-42A Approximate wire rope and sheave data Rope construction MN lbf  103 kN/m lbf/ft Wire, diameter dw , mm (in)  19  37  19 6Â7 500:8d 473:1d 431:3d 473:0d 72d 68d 62d 68d 36:3d 35:3d 34:3d 32:4d 1:60d 1:55d 1:50d 1:45d 0:063d 0:045d 0:050d 0:106d Ultimate strength, Fu Weight Recommended sheave diameter, mm (in) Area A, mm2 (in2 ) Average Minimum 0:38d 0:38d 0:35d 0:38d 45d 27d 31d 72d 30d 18d 21d 42d SI units: d ¼ diameter of rope, m US Customary units: d ¼ diameter of rope, in Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS TABLE 21-42B Wire rope data Rope Weight per foot, lb Minimum sheave Standard diameter, in sizes, d, in Material  haulage 1:50d 42d 1 –12  19 standard hoisting 1:60d 26d–34d –2  37 special flexible  19 extra flexible  aircraft 1:55d 18d 1 –3 1:45d 21d–26d 1 –1 1:70d — 16 –  aircraft 1:75d — –1 19-wire aircraft 2:15d — 32 – 16 Monitor steel Plow steel Mild plow steel Monitor steel Plow steel Mild plow steel Monitor steel Plow steel Monitor steel Plow steel Corrosion-resistant steel Carbon steel Corrosion-resistant steel Carbon steel Corrosion-resistant steel Carbon steel Size of outer wires Modulus of elasticity,a Mpsi Strength,b kpsi d/9 d/9 d/9 d/13–d/16 d/13–d/16 d/13–d/16 d/22 d/22 d/15–d/19 d/15–d/19 — — — — — — 14 14 14 12 12 12 11 11 10 10 — — — — — — 100 88 76 106 93 80 100 88 92 80 124 124 135 143 165 165 a The modulus of elasticity is only approximate: it is affected by the loads on the rope and, in general, increases with the life of the rope The strength is based on the nominal area of the rope The figures given are only approximate and are based on 1-in rope sizes and 1-in aircraft4 cable sizes Source: Compiled from American Steel and Wire Company Handbook b TABLE 21-43 Common wire rope application Sheave diameter, cm Type of service Rope construction Recommended Minimum Haulage rope Mine haulage Factory-yard haulage Inclined planes Tramways Power transmission Guy wires Standard hoisting rope (Most commonly used rope) Mine hoists Quarries Ore docks Cargo hoists Car pullers Cranes Derricks Tramways Well drilling Elevators Extraflexible hoistings rope Special flexible hoisting rope Steel-mill ladles Cranes High speed elevators 6Â7 72d 42d  19 45d 60–100d 30d 20–30d  19  37 31d 27d 21d 18d 21.65 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS TABLE 21-44 Recommended safety factors for wire ropes Safety factor 100 or other figure laid down by the statutory authority Rope application Class From Indian Standards Mining ropes 3.5 Wire ropes used on the cranes and other hoisting equipment Fixed guys Unreeved rope bridles of jib cranes or ancillary appliances, such as lifting beams Ropes which are straight between terminal fittings Hoisting, luffing and reeved bridle systems of inherently flexible crances 4.0 (e.g., mobile crawler tower, guy derrick, stiffleg derrick) where jibs are supported by ropes or where equivalent shock absorbing devices are incorporated in jib supports Cranes and hoists in general hoist blocks 4.5 Classes 2, Class 4.0 4.5 4.5 5.5 5.0 6.0 From Other Sources Mine Shafts Depths to 152 m 305–610 m 610–915 m >915 m Haulage ropes Small electric and air hoists Hot ladle cranes Slings 6 8 Source: IS 3973, 1967 TABLE 21-45 Ratio of drum and sheave diameter to rope diameter Minimum, ratioa Purpose Construction 100 Mining Installation All Class Classes 2, Class Cranes and allied hoisting equipment  15  19 filler wire  19  19 Warrington  19 Seale 34  nonrotating  24  19 filler wire  19  19 Warrington 17  nonrotating 18  nonrotating  19 Seale 15 17 22 17 18 24 18 18 19 19 20 23 25 23 27 24 28 35 a The ratio of the sheave diameters specified are valid for rope speeds up to 50 m/min For speeds above 50 m/min, the drum or sheave diameter should be increased pro rata by 8% for each additional 50 m/min of rope speed where practicable 21.66 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS FLEXIBLE MACHINE ELEMENTS Particular The working load for the ordinary steel BB crane chain 21.67 Formula Pw ¼ 93;750d SI ð21-79aÞ USCS ð21-79bÞ Customary Metric ð21-79cÞ where d in m and Pw in kN Pw ¼ 13;600d where d in in and Pw in lbf Pw ¼ 9:56d where d in mm and Pw in kgf The sheave diameter D ẳ 20d to 30d 21-80ị Round steel short link and round steel link chain LENGTH AND WIDTH (Figs 21-17 and 21-18): The outside dimensions of the links shall fall between the following limits: ð21-81aÞ for calibrated chain ð21-81bÞ Wmax > 3:5dn j away from weld ð21-82aÞ (adjacent width) at weld for noncalibrated chains 21-82bị Wmax ẳ 3:25dn for calibrated chain ð21-83Þ Wt < 1:25dn j Minimum inside link width for uncalibrated chain j Wmax > 1:05 Maximum outside link width (Fig 21-18) l > 5dn j l < 6dn j Outside link length limits (Fig 21-17) except at the weld for noncalibrated chain ð25-84Þ Pitch (i.e., inside length) p ¼ 3dn Dimensions and lifting capacities and properties of noncalibrated and calibrated chains Refer to Tables 21-46 to 21-51 for calibrated chain FIGURE 21-17 Diameter of material and welded chain Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website ð21-85Þ 1.2 1.4 1.6 1.8 2.0 2.2 2.5 2.8 3.2 3.6 4.0 4.4 5.0 5.6 6.4 7.2 8.0 9.0 ỵ0.12, 0.36 ỵ0.14, 0.42 ỵ0.16, 0.48 ỵ0.18, 0.54 ỵ0.20, 0.60 ỵ0.22, 0.66 ỵ0.25, 0.75 ỵ0.28, 0.84 ỵ0.32, 0.96 ỵ0.90 ỵ1.0 ỵ1.1 ặ1.2 ặ1.4 ặ1.6 ặ1.9 ặ2.0 ặ2.2 Nominal size, dn , mm 6.3 7.1 8.0 9.0 10.0 11.2 12.5 14.0 16.0 18.0 20.0 22.0 25.0 28.0 32.0 36.0 40.0 45.0 Source: IS 2429 (Part I), 1970 (dw d) max Diameter tolerance j dn > 16, ỵ0:02s À0:06s dn ! 16, Ỉ0:05s 7.0 7.7 8.7 9.8 1.1 1.2 1.4 1.6 2.1 2.4 2.8 3.1 3.5 3.9 4.4 4.9 5.6 6.3 (G À d) max Maximum additional weld dimensions 100 110 125 140 160 180 200 225 32 36 40 45 50 56 62 70 80 90 5dn 95 105 120 130 150 170 190 215 30 34 38 43 48 53 59 66 76 86 4:75dn Outside link length limits 70 77 87 98 110 120 140 160 22 25 28 31 35 39 44 49 56 63 Away from weld, Wmax 3:5dn 3.5 3.9 4.4 4.9 5.5 6.0 7.0 8.0 1.1 1.25 1.4 1.6 1.8 2.0 2.2 2.5 2.8 3.1 Max extra at weld, 0:5Wmax Maximum outside link width, W TABLE 21-46 Dimensions and lifting capacities of grade 30 noncalibrated chain (Figs 21-17 and 21-18) 25 28 31 35 40 45 50 56 7.9 8.9 10 1.1 12 14 16 18 20 22 Minimum inside link width, 1:25dn 189.0 228.0 296.0 372.0 483.0 610.0 757.0 953.0 18.9 23.6 30.2 38.1 47.1 59.2 73.8 93.0 120.0 153.0 32.0 42.0 53.0 67.0 87.0 112.0 136.0 173.0 3.4 4.3 5.5 6.9 8.5 10.7 13.4 16.7 22.0 39.0 Minimum energy Guaranteed absorption minimum factor (energy breaking load absorption stress 30h bar, 0.054 kJ mÀ1 kN mmÀ2 ), kJ/m 49.0 57.0 74.0 93.0 121.0 152.0 189.0 228.0 4.8 5.9 7.5 9.5 11.8 14.8 18.5 23.2 30.0 38.2 Minimum safe working load (stress 7:5h bar), kN 5.0 6.3 8.0 10.0 12.5 16.0 20.0 22.5 0.50 0.63 0.80 1.00 1.25 1.6 2.0 2.5 3.2 4.0 Lifting capacity (stress 7:6h bar), tonnes FLEXIBLE MACHINE ELEMENTS 21.68 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 0.48 0.56 0.64 0.72 0.80 0.88 1.0 1.1 1.2 1.4 1.6 1.8 2.0 2.2 2.5 2.8 3.2 3.6 ỵ0.12, 0.36 ỵ0.14, 0.42 ỵ0.16, 0.48 ỵ0.18, 0.54 þ0.20, À0.60 þ0.22, À0.66 þ0.25, À0.75 þ0.28, À0.80 þ0.32, À0.96 Æ0.90 Æ1.0 Æ1.1 Æ1.2 Æ1.4 Æ1.6 Æ1.9 Æ2.0 Æ2.2 Nominal size, dn , mm 6.3 7.1 8.0 9.0 10.0 11.2 12.5 14.0 16.0 18.0 20.0 22.0 25.0 28.0 32.0 36.0 40.0 45.0 Source: IS 2429 (Part II), 1970 (dw À d) max Diameter tolerance dn > 16, ỵ0:02s j 0:06s dn ! 16, Ỉ0:05s 2.1 2.4 2.8 3.1 3.5 3.9 4.4 4.9 5.6 6.3 7.0 7.7 8.7 9.8 1.1 12 14 16 (G À d) max Maximum additional weld dimensions 19 21 24 27 30 34 37 42 48 54 60 66 75 84 96 108 120 155 Preferred pitch (inside length), 3dn 0.26 0.30 0.33 0.36 0.40 0.44 0.49 0.55 0.63 0.71 0.79 0.87 0.99 1.1 1.2 1.4 1.6 1.8 Pitch tolerance (one link), 0:00396dn 20 23 26 29 32 36 41 46 52 58 65 73 82 91 100 110 130 150 Preferred outside width, w ¼ 3:25dn 0.45 0.52 0.59 0.67 0.75 0.84 0.93 1.05 1.20 1.35 1.50 1.70 1.90 2.10 2.40 2.70 3.00 3.40 Outside width tolerance away from weld zone ỵ0:075dn TABLE 21-47 Dimensions and lifting capacities of grade 30 calibrated chain (Figs 21-17 and 21-18) 0.90 1.0 1.1 1.3 1.5 1.7 1.9 2.1 2.4 2.7 3.0 3.4 3.8 4.2 4.8 5.4 6.0 6.8 At weld zone ỵ0:15dn 18.9 23.6 30.2 38.1 47.1 59.2 73.8 93.0 120 153 189 228 296 372 483 610 757 953 Guaranteed minimum breaking load (stress 30h bar), kN 3.4 4.3 5.5 6.9 8.5 10.7 13.4 16.7 22.0 26.0 39.0 42.0 53.0 67.0 87.0 112.0 136.0 173.0 Minimum energy absorption factor (energy absorption 0.054 kJ mÀ1 mmÀ2 ), kJ/m 4.8 5.9 7.5 9.5 11.8 14.8 18.5 23.2 30.0 38.2 49.0 57.0 74.0 93.0 121.0 152.0 189.0 228.0 Maximum safe working load (stress 7:5h bar), kN 0.50 0.63 0.80 1.00 1.60 1.60 2.0 2.5 3.2 4.0 5.0 6.3 8.0 10.0 12.5 16.0 20.0 22.5 Lifting capacity (stress 7:5h bar), tonnes FLEXIBLE MACHINE ELEMENTS Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 21.69 1.4 1.6 1.8 2.0 2.2 2.5 2.8 3.2 3.6 4.0 4.4 5.0 5.6 6.4 7.2 8.0 9.0 0.12, À0.36 0.14, À0.42 0.16, À0.48 0.18, À0.54 0.20, À0.60 0.22, À0.66 0.25, À0.75 0.28, À0.84 0.32, 0.96 ỵ0.90 ỵ1.0 ỵ1.1 ặ1.2 ặ1.4 ặ1.6 ặ1.9 ặ2.0 Æ2.2 Nominal size, dn , mm 6.3 7.1 8.0 10 11 12.5 14.0 16.0 18.0 20.0 22.0 25.0 28.0 32.0 36.0 40.0 45.0 Source: IS 3109 (Part I), 1970 (dw À d) max Diameter tolerance j dn > 16, þ0:02s À0:06s dn ! 16, Ỉ0:05s 2.1 2.4 2.8 3.1 3.5 3.9 4.4 4.9 5.6 6.3 7.0 7.7 8.7 9.8 11 12 14 16 (G À d) max Maximum additional weld dimensions 30 35 40 45 50 55 62 70 80 90 100 110 125 140 160 180 200 225 5dn 28 33 38 43 48 52 59 66 76 86 95 105 120 130 150 170 190 215 4:75dn Outside link length limits 21 24 28 31 35 39 44 49 56 63 70 77 87 98 110 120 140 160 Away from weld, Wmax 3:5dn 1.0 1.24 1.4 1.6 1.8 2.0 2.2 2.5 2.8 3.1 3.5 3.9 4.4 4.9 5.5 6.0 7.0 8.0 Max extra at weld, 0:05Wmax Maximum outside link width, W TABLE 21-48 Dimensions and lifting capacities of grade 40 noncalibrated chain (Figs 21-17 and 21-18) 7.5 8.8 10 1.1 12 14 16 18 20 22 25 28 31 35 40 45 50 56 Minimum inside link width, 1:25dn 24.9 31.6 40.2 50.9 62.8 79.0 98.4 124.0 161.0 204.0 252.0 304.0 394.0 492.0 644.0 814.0 1010.0 1270.0 Guaranteed minimum breaking load stress 30h bar, kN 4.50 4.70 7.25 9.18 11.30 14.20 17.7 22.2 29.0 37.7 45.3 55.0 70.7 89.0 116.0 147.0 181.0 230.0 Minimum energy absorption factor (energy absorption 0.072 kJ mÀ1 mmÀ2 ), kJ/m 6.2 7.9 10.0 12.7 15.7 19.7 24.5 30.8 40.3 50.5 63.0 76.0 98.5 123.0 161.0 204.0 252.0 318.0 Minimum safe working load (stress 10h bar), kN 0.63 0.80 1.00 1.25 1.6 2.0 2.5 3.2 4.0 5.0 6.3 8.0 10.0 12.5 16.0 20 25 32 Lifting capacity (stress 10h bar), tonnes FLEXIBLE MACHINE ELEMENTS 21.70 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS 21.86 CHAPTER TWENTY-ONE Particular Formula Tension chain linkages Allowable load Fa ¼ 13:1  106 p2 SI ð21-134aÞ USCS ð21-134bÞ where p in m and Fu in N Fa ¼ 1900p2 where p ¼ pitch of chain, in, and Fu in lbf Allowable load for lightweight chain Fa ¼  106 p2 SI ð21-134cÞ USCS ð21-134dÞ where p in m Fa ¼ 1020p2 where p in in, F in lbf Indian Standards PRECISION ROLLER CHAIN (Figs 21-21 to 21-25, Tables 21-58, 21-59, 21-60) P 180 sin z ð21-135Þ Pitch circle diameter (Fig 21-21) PCD ¼ Bottom diameter BD ¼ PCD À Dr FIGURE 21-21 Notation for wheel rim of chain FIGURE 21-22 Notation for wheel rim profile of roller chain ð21-136Þ Wheel tooth gap form The minimum value of roller seating radius, mm (Fig 21-24) SR1 ¼ 0:505Dr The maximum value of roller seating radius, mm (Fig 21-25) SR2 ¼ 0:505Dr ỵ 0:069 21-137ị p Dr where Dr ẳ roller diameter, mm Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website ð21-138Þ Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 25.40 25.40 31.70 31.75 38.10 38.10 50.80 50.80 63.50 63.50 76.20 76.20 88.90 101.60 Pitch, P, mm 7.92 8.51 10.16 10.16 11.91 12.07 15.88 15.88 19.05 19.05 22.23 25.40 27.94 29.21 7.95 7.75 9.53 9.65 12.70 11.68 15.88 17.02 19.05 19.56 25.40 25.40 30.99 30.99 3.96 4.45 5.08 5.08 5.94 5.72 7.92 8.28 9.53 10.19 11.10 14.63 15.90 17.81 Bearing in diameter max, Dp , mm 4.01 4.50 5.13 5.13 5.99 5.77 7.97 8.33 9.58 10.24 11.15 14.68 15.95 17.86 Bush bore, min, db , mm 12.33 12.07 15.35 14.99 18.34 16.39 24.39 21.34 30.48 26.68 36.55 33.73 36.46 42.72 Chain path depth, max, hc , mm 12.07 11.81 15.09 14.73 18.08 16.13 24.13 21.08 30.18 26.42 36.20 33.40 37.08 42.29 Plate depth, H, min, mm 6.9 6.9 8.4 8.4 9.9 9.9 13.0 13.0 16.0 16.0 19.1 19.1 21.3 24.4 Crank linked dimension max, X, mm 11.18 11.30 13.84 13.28 17.75 13.62 22.61 25.45 27.46 29.01 35.46 37.92 46.58 45.57 Width over inner link, min, W , mm 11.31 11.43 13.97 13.41 17.88 15.76 22.74 25.58 27.59 29.14 35.59 38.05 46.71 45.70 Width between outer plates max, mm 17.8 17.0 21.8 19.6 26.9 22.7 33.5 36.1 41.1 43.2 50.8 53.4 65.1 64.7 Width over bearing pin, min, A, mm 3.9 3.9 4.1 4.1 4.6 4.6 5.4 5.4 6.1 6.1 6.6 6.6 7.4 7.9 127.5 127.5 196.1 196.1 284.4 284.4 500.2 500.1 774.7 774.7 1108.2 1108.2 1510.2 2000.6 13 13 20 20 29 29 51 51 79 79 113 113 164 204 Addition width for joint fastener, Measuring load max, B, mm N kgf 13.8 17.9 21.8 22.3 31.2 28.9 55.6 42.3 86.8 64.5 124.5 97.9 129.1 169.1 kN 1410 1820 2220 2270 3180 2950 5670 4310 8850 6580 12700 9980 13160 17240 kgf Breaking load, Notes: (1) The chain path depth Hc is the minimum depth of channel through which the assembled chain will pass; (2) the overall width of chain with joint fastener is A ỵ B for riveted pin end and fastener on one side; A ỵ 1:6B for headed pin end and fastener on one side; and A ỵ 2B for fastener on both sides The actual dimensions will depend on the type of fastener used, but they should not exceed the dimensions in this column Source: IS 3542, 1966 208A 208B 210A 210B 212A 212B 216A 216B 220A 220B 224A 224B 228B 232B Chain no Width Roller between diameter inner plates, max, Dr , W, min, mm mm TABLE 21-58 Extended pitch transmission roller chain dimensions, measuring loads and breaking loads FLEXIBLE MACHINE ELEMENTS 21.87 FLEXIBLE MACHINE ELEMENTS 21.88 CHAPTER TWENTY-ONE Particular Formula FIGURE 21-23 Notation for tooth gap form of roller chain FIGURE 21-24 Notation for minimum tooth gap form of roller chain The minimum value of roller seating angle, deg (Fig 21-24) SA1 ¼ 1408 À 908 z ð21-139Þ The maximum value of roller seating angle, deg (Fig 21-25) SA2 ẳ 1208 908 z 21-140ị The minimum value of tooth flank radius, mm (Fig 21-24) FR1 ¼ 0:12Dr z ỵ 2ị 21-141ị The maximum value of tooth ank radius, mm (Fig 21-25) FR2 ẳ 0:008Dr z2 ỵ 180Þ ð21-142Þ FIGURE 21-25 Notation for maximum tooth gap form of roller chain Tooth heights and top diameters (Fig 21-23) The maximum limit of the tooth height above the pitch polygon The minimum limit of the tooth height above the pitch polygon The maximum limit of the tooth top diameter, mm The minimum limit of the tooth top diameter, mm 0:8 HTmax ẳ p 0:3125 ỵ 0:5Dr z 0:6 À 0:5Dr HTmin ¼ p 0:25 þ z TDmax ¼ PCD þ 0:625p À Dr 0:4 TDmin ẳ PCD ỵ p 0:5 Dr z Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website ð21-143Þ ð21-144Þ ð21-145Þ ð21-146Þ 2.0000 2.1519 2.3048 2.4586 2.6131 2.7682 2.9238 3.0798 3.2361 3.3927 3.5494 3.7065 3.8637 4.0211 4.1786 4.3362 4.4940 4.6518 4.8097 4.9677 5.1258 5.2840 51 61 71 81 91 10 101 11 111 12 121 13 131 14 141 15 151 16 161 281 28 271 27 26 261 251 25 241 24 231 23 22 221 211 21 201 20 191 19 18 181 171 17 9.0902 8.9314 8.7726 8.6138 8.2962 8.4550 8.1375 7.9787 7.8200 7.6613 7.5026 7.3439 7.0266 6.1853 6.8681 6.7095 6.5509 6.3925 6.2340 6.0755 5.7588 5.9171 5.6005 5.4422 No of teeth, Pitch circle z diameter a The values given are for a unit pitch (e.g., mm) Source: IS 3542, 1966 1.7013 1.8496 No of teeth, Pitch circle z diameter 401 40 391 39 38 381 371 37 361 36 351 35 34 341 331 33 321 32 311 31 30 301 291 29 12.9045 12.7455 12.5865 12.4275 12.1095 12.2685 11.9506 11.7916 11.6327 11.4737 11.3148 11.1558 10.8380 10.9969 10.6790 10.5201 10.3612 10.2023 10.0434 9.8845 9.5668 9.7256 9.4080 9.2491 No of teeth, Pitch circle z diameter TABLE 21-59 Pitch circle diametersa for extended pitch transmission roller chain wheels 521 52 511 51 50 501 491 49 481 48 471 47 46 461 451 45 441 44 431 43 42 421 411 41 16.7212 16.5622 16.4031 16.2441 15.9260 16.0850 15.7669 15.6079 15.4488 15.2898 15.1308 14.9717 14.6537 14.8127 14.4946 14.3356 14.1765 14.0176 13.8585 13.6995 13.3815 13.5405 13.2225 13.0635 No of teeth, Pitch circle z diameter 641 64 631 63 62 621 611 61 601 60 591 59 58 581 571 57 561 56 551 55 54 541 531 53 20.5393 20.3800 20.2210 20.0619 19.7437 19.6029 19.5847 19.4255 19.2665 19.1073 18.9482 18.7892 18.4710 18.6301 18.3119 18.1529 17.9938 17.8347 17.6756 17.5166 17.1984 17.3575 17.0393 16.8803 No of teeth, Pitch circle z diameter 20.6982 75 74 741 731 73 721 72 711 71 70 7012 691 69 681 68 23.8802 23.5620 23.7213 23.4031 23.2438 23.0849 22.9256 22.7667 22.6074 22.2892 22.4485 22.1303 21.9710 21.8121 21.6528 21.4939 21.3346 661 671 21.0164 21.1757 20.8575 66 661 651 65 No of teeth, Pitch circle z diameter FLEXIBLE MACHINE ELEMENTS Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 21.89 6.35 4310 4960 5540 6070 6500 6940 7290 7590 7840 8050 8230 8380 8480 8560 8610 8780 8200 7580 6820 5950 5010 4020 No of teeth 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 55 60 2260 2590 2900 3170 3420 3630 3810 3970 4100 4210 4300 4380 4480 4410 4510 4490 4290 3970 3570 3110 2620 2100 9.50 1690 1940 2180 2380 2560 2720 2860 2980 3080 3160 3230 3290 3330 3360 3380 3370 3220 2970 2670 2330 1970 1580 12.70 1220 1400 1570 1720 1850 1969 2060 2150 2220 2280 2330 2370 2400 2420 2440 2430 2320 2140 1930 1680 1420 1140 15.80 920 1050 1110 1290 1390 1480 1550 1610 1670 1720 1750 1780 1800 1820 1830 1830 1740 1610 1450 1270 1070 860 19.05 TABLE 21-60 Maximum speed (rpm), recommended of sprockets for roller chains 580 670 750 820 880 935 985 1020 1060 1090 1110 1130 1150 1160 1100 1160 1110 1020 920 805 675 545 25.40 415 475 535 585 630 670 700 730 755 755 790 805 875 825 830 825 790 730 655 575 410 390 31.75 Pitch 325 375 415 455 490 520 550 750 590 605 620 630 640 645 650 645 615 570 515 450 375 305 38.10 235 270 305 335 360 380 400 415 430 440 450 460 405 470 475 470 450 415 375 325 275 220 44.45 200 230 260 280 305 325 340 355 365 375 385 390 395 400 400 400 380 355 320 275 235 185 50.80 165 190 215 255 255 270 285 295 305 315 320 325 330 300 335 335 320 295 265 230 195 155 57.15 145 165 186 205 220 235 245 255 265 270 280 280 285 290 290 290 275 255 230 200 170 135 63.50 110 125 140 155 165 175 185 195 200 205 210 215 215 220 220 220 210 195 175 150 125 100 76.20 FLEXIBLE MACHINE ELEMENTS 21.90 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS FLEXIBLE MACHINE ELEMENTS Particular 21.91 Formula Wheel rim profile (Fig 21-22) Tooth width C1 ¼ 0:95W with a tolerance of h=4 21-147ị The minimum tooth side radius F ẳ 0:5p 21-148ị The tooth side relief G ẳ 0:05p to 0:075p 21-149ị Absolute maximum shroud diameter D ẳ p cot For leaf chain dimension, breaking load, anchor clevises and chain sheaves Refer to Tables 21-61, 21-62, and 21-63 1808 À 1:05H À 1:00 À  Koct , mm z ð21-150Þ Leaf chains PRECISION BUSH CHAINS (Figs 21-26 to 21-29, Tables 21-64 to 21-68) p 180 sin z The pitch circle diameter (Fig 21-21, Table 21-62) PCD ¼ Bottom diameter BD ¼ PCD À Db ð21-152Þ The minimum value of bush seating radius, mm (Fig 21-28) SR1 ẳ 0:505Db 21-153ị The maximum value of bush seating radius, mm (Fig 21-29) SR2 ẳ 0:505Db ỵ 0:0693 The minimum value of bush seating angle, deg (Fig 21-28) SA1 ẳ 1408 21-151ị p Db 21-154ị 908 z 908 SA2 ẳ 1208 z ð21-155Þ The minimum value of tooth flank radius, mm (Fig 21-28) FR1 ẳ 0:12Db z ỵ 2ị 21-157ị The maximum value of tooth flank radius, mm (Fig 21-29) FR2 ¼ 0:008Db z2 ỵ 180ị 21-158ị 21-159ị The minimum limit of the tooth top diameter TDmax ẳ PCD ỵ 1:25p Db 1:6 Db TDmin ẳ PCD ỵ p À z The maximum limit of the tooth height above the pitch polygon HTmax ¼ 0:625p À 1:5Db þ The maximum value of bush seating angle, deg (Fig 21-29) TOOTH TOP DIAMETERS HEIGHT (Fig 21-27) AND ð21-156Þ TOOTH The maximum limit of the tooth top diameter 0:8p z Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website ð21-160Þ ð21-161Þ TABLE 21-61 Leaf chain dimensions, measuring loads, and breaking loads FLEXIBLE MACHINE ELEMENTS 21.92 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 12.70 12.70 12.70 12.70 15.88 15.88 15.88 15.88 19.05 19.05 19.05 19.05 25.40 25.40 25.40 31.75 31.76 31.75 38.10 38.10 38.10 44.45 44.45 44.45 50.80 50.80 50.80 0822 0823 0834 0846 1022 1023 1034 1046 1222 1223 1234 1246 1623 1634 1646 2023 2034 2046 2423 2434 2446 2823 2834 2846 3223 3234 3246 Source: IS: 1072-1967 Pitch mm Chain number Chain width, W1 mm 6.45 8.08 11.30 16.13 7.26 9.09 12.73 18.16 12.50 15.62 21.87 31.24 21.34 29.87 42.67 23.24 32.54 46.68 30.73 43.03 61.47 35.94 50.32 71.88 40.51 56.72 81.03 Lacing 2Â2 2Â3 3Â4 4Â6 2Â2 2Â3 3Â4 4Â6 2Â2 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 8.69 10.31 13.54 18.36 9.80 11.63 15.27 20.70 15.90 19.02 25.27 34.65 25.48 34.01 46.81 28.35 37.64 51.59 38.05 50.34 68.78 43.89 58.27 79.83 49.43 65.63 89.94 Width over bearing pins, W2 max, mm 4.45 4.45 4.45 4.45 5.08 5.08 5.08 5.08 6.78 6.78 6.78 6.78 8.28 8.28 8.28 10.19 10.19 10.19 14.63 14.63 14.63 15.90 15.90 15.90 17.81 17.81 17.81 Pin body diameter, max, Dp max mm 4.48 4.48 4.48 4.48 5.10 5.10 5.10 5.10 6.80 6.80 6.80 6.80 8.30 8.30 8.30 10.22 10.22 10.22 14.66 14.66 14.66 15.92 15.92 15.92 17.84 17.84 17.84 Articulating plates bore, diameter, min, Dp max mm 11.81 11.81 11.81 11.81 14.73 14.73 14.73 14.73 16.13 16.13 16.13 16.13 21.08 21.08 21.08 26.42 26.42 26.42 33.40 33.40 33.40 37.08 37.08 37.08 42.29 42.29 42.29 Plate depth, min, H mm 1.57 1.57 1.57 1.57 1.78 1.78 1.78 1.78 3.07 3.07 3.07 3.07 4.22 4.22 4.22 4.60 4.60 4.60 6.10 6.10 6.10 7.14 7.14 7.14 8.05 8.05 8.05 Plate thickness, max, T mm 190.0 190.0 280.0 370.0 250.0 250.0 390.0 500.0 450.0 450.0 670.0 890.0 630.0 1020.0 1250.0 980.0 1510.0 1960.0 1600.0 2400.0 3200.0 2400.0 3200.0 4300.0 2800.0 4100.0 5500.0 N 19.10 19.10 28.60 38.10 25.40 25.40 39.90 50.80 45.40 45.40 68.00 90.70 63.50 104.30 127.00 99.80 154.20 199.60 163.30 244.90 326.60 217.70 326.60 435.50 281.20 421.80 562.50 kgf Measuring load 18.7 18.7 26.3 37.4 24.9 24.9 39.1 49.8 44.5 44.5 66.7 82.0 62.3 102.3 124.5 97.9 151.2 195.7 160.1 240.2 320.3 213.5 320.3 427.1 275.8 413.6 551.9 kN 1910 1910 2860 3810 2540 2540 3990 5080 4540 4540 6800 9070 6350 10430 12700 9980 15420 19960 16330 24490 32660 21770 32660 43550 28120 42180 56280 kgf Breaking load, FLEXIBLE MACHINE ELEMENTS Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 21.93 Pitch P, mm 21.94 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 0822 0823 0834 0846 1022 1023 1034 1046 1222 1223 1234 1246 1623 1634 1646 2023 2034 2046 2423 2434 2446 2823 2834 2846 3223 3234 3246 Source: IS 1072, 1967 12.70 12.70 12.70 12.70 15.88 15.88 15.88 15.88 19.05 19.05 19.05 19.05 25.40 25.40 25.40 31.75 31.75 31.75 38.10 38.10 38.10 44.45 44.45 44.45 50.80 50.80 50.80 Chain number Outside flange thickness, t, 1.57 1.57 1.57 1.57 1.78 1.78 1.78 1.78 3.07 3.07 3.07 3.07 4.22 4.22 4.22 4.60 4.60 4.60 6.10 6.10 6.10 7.14 7.14 7.14 8.05 8.05 8.05 Lacing 2Â2 2Â3 3Â4 4Â6 22 2Â3 3Â4 4Â6 2Â3 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 2Â3 3Â4 4Â6 — — 8.18 — — — 9.16 — — — 15.75 — — 21.49 — — 23.42 — — 30.94 — — 36.17 — — 40.77 — A K ỵG 13.11 14.76 — — — 25.25 — — 34.44 — — 37.54 — — 49.58 — — 37.96 — — 65.33 E K1 ỵ K2 6.35 6.35 6.35 6.35 7.95 7.95 7.95 7.95 9.53 9.53 9.53 9.53 12.70 12.70 12.70 15.88 15.88 15.88 19.05 19.05 19.05 22.23 22.23 22.23 25.40 25.40 25.40 End radius, R, max TABLE 21-62 Dimensions of anchor clevises for leaf chains (all dimensions in mm) 6.35 6.35 6.35 6.35 7.95 7.95 7.95 7.95 9.53 9.53 9.53 9.53 12.70 12.70 12.70 15.88 15.88 15.88 19.05 19.05 19.05 22.23 22.23 22.23 25.40 25.40 25.40 Slot depth, U, 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 2.38 2.38 2.38 2.38 2.38 2.38 3.18 3.18 3.18 Fillet radius, B, — — 4.85 — — — 5.46 — — — 9.37 — — 12.80 — — 13.94 — — 18.44 — — 21.56 — — 24.31 — K — — — 8.08 — — — 9.09 — — — 15.62 — — 21.34 — — 23.24 — — 30.73 — — 35.94 — — 40.51 K1 Slot pitch 3.33 — 3.33 — 3.73 — 3.73 — 6.38 — 6.38 — — 8.69 — — 9.47 — — 12.50 — — 14.61 — — 16.31 — G — 5.03 — 5.03 — 5.66 — 5.66 — 9.63 — 9.63 13.11 — 13.11 14.30 — 14.30 18.85 — 18.85 22.02 — 22.02 24.82 24.82 G1 Slot width ỵ0:02p ỵ 0:100 þ0:02p þ 0:100 À0 Tolerance on A, E G, G1 FLEXIBLE MACHINE ELEMENTS Source: IS 1072, 1967 Distance between flanges, L, 9.12 10.80 14.20 19.28 10.29 12.22 16.03 21.74 16.69 19.96 26.54 36.37 26.75 35.71 Chain number 0822 0823 0834 0846 1022 1028 1034 1046 1222 1223 1234 1246 1623 1634 TABLE 21-63 Dimensions (in mm) for leaf chain sheaves 63.50 63.50 63.50 63.50 79.38 79.38 79.38 79.38 95.25 95.25 95.25 95.25 127.00 127.00 Sheave diameter, SD, 88.90 88.90 88.90 88.90 104.78 104.78 104.78 104.78 120.65 120.65 120.65 120.65 152.40 152.40 Flange diameter, FD, 1646 2023 2034 2046 2423 2434 2446 2823 2834 2846 3223 3234 3246 Chain number 49.15 29.77 39.52 51.18 39.95 52.86 72.21 46.08 61.19 83.82 51.89 68.92 94.44 Distance between flanges, L, 127.00 158.75 158.75 158.75 190.50 190.50 190.50 222.25 222.25 222.25 254.00 254.00 254.00 Sheave diameter, SD, 152.40 184.15 184.15 184.15 215.90 215.90 215.90 247.65 247.65 247.65 279.40 279.40 279.40 Flange diameter, FD, FLEXIBLE MACHINE ELEMENTS Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 21.95 FLEXIBLE MACHINE ELEMENTS 21.96 CHAPTER TWENTY-ONE TABLE 21-64 Short pitch transmission precision bush chain dimensions, measuring loads, and breaking loads (all dimensions in mm) Chain No 04C Pitch, p Bush diameter, Db , max Width between inner plates, min, W Bearing pin body diameter, max, Dp Bush bore, db , Chain path depth, Hd , Inner plate depth, Hi , max Outer or immediate plate depth, Ho , max Cranked link dimensions X, Y, Z, Transverse pitch, Yp Width over inner link, W1 , max Width between outer plates, W2 , Width over bearing pins A, max A2 , max A3 , max Additional width for joint fasteners, B, max Measuring load Simplex Duplex Triplex Breaking load, Simplex Duplex Triplex 06C 6.35 3.30 3.18 2.29 2.34 6.27 6.02 5.21 9.525 5.08 4.77 3.59 3.63 9.30 9.05 7.80 2.64 3.06 0.08 6.40 4.80 4.93 3.96 4.60 0.08 10.13 7.47 7.60 9.10 15.5 21.8 2.5 13.20 23.4 33.5 3.3 0.05 kN 0.10 kN 0.15 kN kgf 10 kgf 15 kgf 3.4 kN 6.9 kN 10 kN 350 kgf 700 kgf 1050 kgf 0.07 kN 0.14 kN 0.20 kN 7.8 kN 15.5 kN 23.2 kN kgf 14 kgf 21 kgf 790 kgf 1580 kgf 2370 kgf Notes: (1) Dimension C represents clearance between the cranked link plates and the straight plates available during articulation; (2) the chain path depth Hc is the minimum depth of channel through which the assembled chain passes; (3) width over bearing pins for chains wider than triplex ¼ A1 þ Tp (No of strands in chain—1); (4) cranked links are not recommended for use on chains which are intended for onerous applications Source: IS 3563, 1966 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 2.9238 3.2361 3.5494 3.8637 4.1786 4.4940 4.8097 5.1258 5.4422 5.7588 6.0755 6.3925 6.7095 7.0266 7.3439 7.6613 7.9787 8.2962 8.6138 8.9314 9.2491 9.5668 9.8845 10.2023 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 No of teeth 10.5201 10.8380 11.1558 11.3747 11.7916 12.1096 12.4275 12.7455 13.0635 13.3815 13.6995 14.0176 14.3356 14.6537 14.9717 15.2868 15.6079 15.9260 16.2441 16.5622 16.8803 17.1984 17.5166 17.8347 Pitch circle diameter a The values given are for a unit pitch length (e.g., mm) Source: IS 3560, 1966 Pitch circle diameter No of teeth 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 No of teeth 18.1529 18.4710 18.7892 19.1073 19.9255 19.7437 20.0619 20.3800 20.6982 21.0164 21.3246 21.6528 21.9710 22.2892 22.6074 22.9256 23.2438 23.5620 24.8802 24.1985 24.5167 24.8349 25.1513 25.4713 Pitch circle diameter TABLE 21-65 Pitch circle diametersa for short pitch transmission precision bush chain wheels 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 No of teeth 26.7896 26.1078 26.4260 26.7443 27.0625 27.3807 27.6990 28.0172 28.3355 28.6537 28.9719 29.2902 29.6084 29.9267 30.2449 30.5632 30.8815 31.9097 31.5180 31.8362 32.1545 32.4727 32.7910 33.1093 Pitch circle diameter 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 No of teeth 33.4275 33.7458 34.0648 34.3823 34.7006 35.0188 35.3371 35.6554 35.9737 36.2919 36.6102 36.9285 37.2467 37.5650 37.8833 38.2016 38.5198 38.8381 39.1564 39.4776 39.7929 40.1112 40.4295 43.7478 Pitch circle diameter 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 No of teeth 41.0660 41.3843 41.7026 42.0209 42.3291 42.6574 42.9757 43.2940 43.6123 43.9306 44.2488 44.5671 44.8854 45.2037 45.5220 45.8403 46.1585 46.4768 46.7951 47.1134 47.4317 47.7500 Pitch circle diameter FLEXIBLE MACHINE ELEMENTS Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website 21.97 FLEXIBLE MACHINE ELEMENTS 21.98 CHAPTER TWENTY-ONE TABLE 21-66 Recommended design data for silent chains No of teeth Chain pitch, mm Speed of small sprocket Driver Driven Min center distance, mm 9.3 12.7 15.8 19.0 22.2 25.4 31.7 38.1 50.8 76.2 2000–4000 1500–2000 1200–1500 1000–1200 900–1000 800–900 650–800 500–650 300–500 300 17–25 17–25 19–25 19–25 19–25 19–25 21–25 25–27 25–27 25–27 21–120 21–130 21–150 23–150 23–150 23–150 25–150 27–150 27–150 27–150 152.4 228.6 304.8 381.0 457.2 533.4 685.8 914.4 1219.2 1676.4 TABLE 21-67A Maximum speed of small sprocket for inverted tooth chains Pitch, mm Max width, mm Number of teeth 9.50 12.70 15.88 19.05 25.40 31.75 38.10 50.80 101.6 177.8 203.2 254.0 355.6 508.0 609.6 762.0 17 19 21 23 25 27 29 31 33 35 37 45 40 50 Speed, rpm 4000 5000 6000 6000 6000 6000 6000 6000 6000 6000 5000 4000 5000 3500 3500 3500 3000 4000 4000 4000 4000 4000 4000 4000 3500 3000 3500 2500 2500 2500 3000 3000 3500 3500 3500 3500 3500 3500 3000 2000 2500 2000 2000 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 2000 2500 1800 1200 1500 1800 1800 1800 2000 2000 2000 2000 2000 1800 1500 1500 1200 1200 1200 1800 1800 1800 1800 1800 1800 1800 1200 1000 1200 1000 1000 1000 1200 1200 1200 1200 1200 1200 1200 1000 900 900 800 700 700 800 900 900 900 900 900 900 800 700 800 600 TABLE 21-67B Maximum velocity for various types of chains, rpm Number of sprocket teeth Bush roller chain 15 Type of chain Chain pitch, p, mm 12 15 20 25 30 2300 1900 1350 1150 1000 19 23 27 30 Silent chains 17.35 2400 2000 1450 1200 1050 2530 2100 1500 1250 1100 2550 2150 1550 1300 1100 2600 2200 1550 1300 1100 12.7 15.87 19.05 25.40 31.75 3300 2650 2200 1650 1300 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS FLEXIBLE MACHINE ELEMENTS 21.99 TABLE 21-68 Safety factor Speed of smaller sprocket, rpm Chains 50 Bush roller chains p ¼ 12, 15 mm p ¼ 20, 25 mm p ¼ 30, 35 mm Silent chains p ¼ 12:7, 15.87 mm p ¼ 19:05, 25.4 mm 7.0 7.0 7.0 20 20 260 7.8 8.2 8.55 22.2 23.4 400 600 800 1000 1200 1600 2000 8.55 9.35 10.2 9.35 10.3 13.2 10.2 10.7 14.8 11.0 12.9 16.3 11.7 14.0 19.5 13.2 16.3 1.48 24.4 26.7 28.7 30.0 29.0 33.4 31.0 36.8 33.4 40.0 37.8 46.5 42.0 53.5 FIGURE 21-26 Notation for wheel rim profiles of bush chain FIGURE 21-28 Notation for minimum tooth gap form for bush chain FIGURE 21-27 Notation for tooth gap form of bush chain FIGURE 21-29 Notation for maximum tooth gap form for bush chain Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website FLEXIBLE MACHINE ELEMENTS 21.100 CHAPTER TWENTY-ONE Particular Formula The minimum limit of the tooth height above the pitch polygon HTmin ¼ 0:5ð p À Db Þ ð21-162Þ WHEEL RIM PROFILE (Fig 21-26) The value of tooth width for simple chain wheels (Fig 21-26) C1 ẳ 0:93w 21-163ị The value of tooth width for duplex and triplex chain wheels C1 ¼ 0:91w ð21-164Þ The value of tooth width for quadruplex chain wheels and above C1 ẳ 0:88w 21-165ị The value of tolerance shall be h=4 The value of width over tooth C2 or C3 ị ẳ number of strands 1Tp þ C1 ð21-166Þ with a tolerance value of h=4 where Tp ¼ transmission pitch of strands The minimum tooth side radius F ẳp 21-167ị The tooth side relief G ẳ 0:1p to 0:15p 21-168ị Absolute maximum shroud diameter SD ẳ p cot For bush chains dimensions, breaking load, pitch circle diameters, etc Refer to Tables 21-64 to 21-68 1808 À 1:05Hi À 1:00 À 2Kort , mm z ð21-169Þ REFERENCES Maleev, V L., and J B Hartman, Machine Design, International Textbook Company, Scranton, Pennsylvania, 1954 Black, P H., and O E Adams, Jr., Machine Design, McGraw-Hill Book Company, New York, 1968 Norman, C A., E S Ault, and I F Zarobsky, Fundamentals of Machine Design, The Macmillan Company, New York, 1951 Shigley, J E., Machine Design, McGraw-Hill Book Company, New York, 1962 Shigley, J E., and C R Mischke, Mechanical Engineering Design, McGraw-Hill Book Company, New York, 1989 Shigley, J E., and C R Mischke, Standard Handbook of Machine Design, McGraw-Hill Book Company, New York, 1986 Baumeister, T., ed., Marks’ Standard Handbook for Mechanical Engineers, McGraw-Hill Book Company, New York, 1978 Niemann, G., Maschinenelemente, Springer-Verlag, Berlin; Zweiter Band, Munich, 1965 Niemann, G., Machine Elements—Design and Calculations in Mechanical Engineering, Vol II, Allied Publishers Private Ltd., New Delhi, 1978 10 Decker, K H., Maschinenelemente, Gestaltung and Berechnung, Carl Hanser Verlag, Munich, 1971 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website ... diameter 20 . 69 82 75 74 741 731 73 721 72 711 71 70 70 12 691 69 681 68 23 .88 02 23.5 620 23 . 721 3 23 .4031 23 .24 38 23 .08 49 22 . 92 5 6 22 .7667 22 .6074 22 .28 92 22. 4485 22 .1303 21 .97 10 21 .8 121 21 .6 528 21 . 493 9 21 .3346... 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 1 02 103 104 No of teeth 26 .7 896 26 .1078 26 . 426 0 26 .7443 27 .0 625 27 .3807 27 . 699 0 28 .01 72 28.3355 28 .6537 28 .97 19 29 . 29 02 29. 6084 29 . 92 6 7... 186 20 5 22 0 23 5 24 5 25 5 26 5 27 0 28 0 28 0 28 5 29 0 29 0 29 0 27 5 25 5 23 0 20 0 170 135 63.50 110 125 140 155 165 175 185 195 20 0 20 5 21 0 21 5 21 5 22 0 22 0 22 0 21 0 195 175 150 125 100 76 .20 FLEXIBLE MACHINE