CS-1 Cutting Speeds Feeds and Speeds Production on drills, mills, lathes, grinders, and other machine tools depends on the rate of relative motion between the cutter or grinding wheel and the workpiece. Gears roll together, there is no relative rotation speed difference where teeth mesh. There must be a difference for cutting to take place. The amount of this difference is called SFM or SFPM (Surface Feet Per Minute). When the workpiece or tool, or both, rotate, the difference in speeds at the contacting surface can be calculated from the RPM (Revolutions Per Minute). Because of the many variables in equipment and tool condition, actual speeds may vary. Speeds and Feeds should be as high as practical in order to provide an adequate rate of Production. Practical limits are set by finish requirements, power available, rigidity of the workpiece, the machine tool, and by expected tool life. When the finish is satisfactory, power is sufficient, no present threat of distortion, no burning or breaking, and the tool life is satisfactory, then the speed and feed are not too high. Whenever chatter indicates an incorrect speed or feed, higher as well as lower speeds or feeds should be tried. In feed is the name given to feed that is in the plane of rotation of the cutter or workpiece on mills, lathes, and grinders, into the work. The greater the In Feed, the greater the depth of cut. On drills and surface grinders In Feed is called Down-feed because of it's direction. Cross - Feed is feed perpendicular to the plane of rotation of the workpiece, cutter, or grinding wheel. On a lathe it is set in a number of thousands of an inch per revolution of the workpiece. On surface grinders and mills, it is made by movement of the saddle, perpendicular to the table movement, but in the same X, Y, plane. Cross feed on all machines is mainly limited by tool life and surface finish. Cross feed should be as high as finish requirements and reasonable tool life will allow. The forces at work in machining are by far highest in those interactions due to relative rotation. In feed and cross feed are also factors, but secondary ones. Once appropriate SFPM has been established for the machine tool, and workpiece, correct in feed and cross feed can quickly be made. Turning SFPM The diameter of a round piece of work is the largest measurement perpendicular to the axis across the work. In order to find the distance that passes the tool point in one revolution, the diameter is multiplied by 3.14. This distance is called the circumference . The diameter is given in inches, therefore the circumference is in inches. CS-2 Cutting Speeds (Recommended Surface Feet Per Minute) Material High Speed Steel Rough Finish Carbide -- Tipped Rough Finish Coolant Cast Iron 50-60 80-110 180-200 350-400 Dry Semi-Steel 40-50 65-90 140-160 250-300 Dry Malleable Iron 80-100 110-130 250-300 400-500 Soluble, Sulphurized Mineral Oil Cast Steel 45-60 70-90 150-180 200-250 Soluble, Sulphurized, Mineral or Mineral Lard Oil Copper 100-150 150-200 600 1000 Soluble, Sulphurized, or Mineral Lard Oil Brass 200-300 200-300 600-1000 600-1000 Bronze 100-150 150-180 600 1000 Soluble, Sulphurized, or Mineral Lard Oil 700 800 1000 Soluble or Sulphurized Oil Mineral Oil and Kerosene Aluminum Magnesium 400 600-800 1000-1500 1000-1500 1000-1500 Dry Dry, Kerosene, or Mineral Lard Oil SAE Steels 1020 60-80 Course Feed 60-80 300 300 1020 Fine Feed 100-120 100-120 450 450 " " 1035 75-90 90-120 250 250 " " 1050 60-80 100 200 200 " " 3150 50-60 70-90 200 200 " " 4340 40-50 60-70 200 200 240-300 240-300 Stainless Steel 60-80 100-120 Soluble, Sulphurized Mineral, or Mineral Lard Oil Sulphurized and Mineral Oils " " CS-3 CS-4 Cutting Speeds Definition of Cutting Speed Cutting speed is the rate at which a point on the circumference of a cylindrical workpiece passes a cutting tool. Cutting speeds are given in Feet Per Minute, while spindle speed is given in Revolutions Per Minute , thus the peripheral speed of the workpiece (speed at circumference) must be converted to Revolutions Per Minute (RPM) in order to determine the required spindle speed. The following formula is used; RPM = C.S. x 4 D Example: Legend C.S. = Cutting Speed D = Workpiece or Cutter Dia. Machine a workpiece 3/4" in diameter from Stainless Steel. 1. RPM = C.S. x 4 D 2. R.P.M. = 40 x 4 .75 3. R.P.M. 160 .75 4. R.P.M. = 213 CS-5 Cutting Speeds For Various Diameters The following chart revolutions are based on the formula; CS x 12 RPM= -------------------x D Meters Per Minute Feet Per Minute Diameter mm Inches 1.6 1/16 3.2 1/8 4.8 3/16 6.4 1/4 7.9 5/16 9.5 3/8 11.1 7/16 12.7 1/2 15.9 5/8 19.1 3/4 22.2 7/8 25.4 1.0 28.6 1 1/8 31.8 1 1/4 34.9 1 3/8 38.1 1 1/2 41.3 1 5/8 44.5 1 3/4 47.6 1 7/8 50.8 2.0 57.2 2 1/4 63.5 2 1/2 69.9 2 3/4 76.2 3.0 15.2 18.3 21.3 24.4 27.4 30.5 33.5 36.6 39.6 42.7 45.7 61 50' 60' 70' 80' 90' 100' 110' 120' 130' 140' 150' 200' 4889 2445 1630 1222 978 815 698 611 489 407 349 306 272 244 222 204 188 175 163 153 136 122 111 102 Revolutions Per Minute 5500 6111 6722 2750 3056 3361 1833 2037 2241 1375 1528 1681 1100 1222 1345 917 1019 1120 786 873 960 688 764 840 550 611 672 458 509 560 393 436 480 344 382 420 306 340 373 275 306 336 250 278 306 229 255 280 212 235 259 196 218 240 183 204 224 172 191 210 153 170 187 137 153 168 125 139 153 115 127 140 7334 3667 2445 1833 1467 1222 1048 917 733 611 524 458 407 367 333 306 282 262 244 229 204 183 167 153 7945 3973 2648 1986 1589 1324 1135 993 794 662 568 497 441 397 361 331 306 284 265 248 221 199 181 166 8556 4278 2852 2139 1711 1426 1222 1070 856 713 611 535 475 428 389 357 329 306 285 267 238 214 194 178 9167 12229 4584 6115 3056 4076 2292 3057 1833 2446 1528 2038 1310 1747 1146 1529 917 1223 764 1019 655 874 573 764 509 679 458 612 417 556 382 510 353 470 327 436 306 408 287 382 255 340 229 306 208 278 191 254 3056 1528 1019 764 611 509 437 382 306 255 218 191 170 153 139 127 117 109 102 95 85 76 69 64 3667 1833 1222 917 733 611 524 458 367 306 262 229 204 183 167 153 141 131 122 115 102 92 83 76 4278 2139 1426 1070 856 713 611 535 428 357 306 267 238 214 194 178 165 153 143 134 119 107 97 89 94.1 300' 18344 9172 6115 4586 3669 3057 2621 2293 1834 1529 1310 1146 1019 918 834 765 705 654 612 573 510 459 417 381 CS-6 Cutting Speeds Cutting, Rim, and Surface Speed Formula's C.S. = Cutting Speed R.S. = Rim Speed S.S. = Surface Speed = 3.1416 R.P.M. = Revolutions Per Minute D = Diameter of Workpiece or Milling Cutter C.S. = D x RPM 12 RPM = CS x 12 D R.S. = D x RPM 12 RPM = RS x 12 D S.S = D x RPM 12 RPM = SS x 12 D D = C.S. x 12 RPM x CS-7 Cutting Speeds (Calculating -- RPM's) Calculate the revolutions per minute for the following machining jobs and select an available machine tool RPM from the list. (Please calculate both Rough and Finish Cuts) Machine tool revolutions per minute available; 48 68 88 116 140 180 225 260 300 385 560 665 790 928 1087 1492 2400 3100 4300 6000 Finish Rough Tool Material Work Material Work Dia. Carbide Cast Iron 2.00 HSS StainlessSteel 1.500 HSS Malleable Iron 1/2" Carbide Copper 5/8" Carbide Brass 1.300 HSS Bronze 7/8" Carbide Aluminum 2.25 HSS Magnesium 2.250 HSS 1050 c.s. 1.250 Recommended SFPM 492 Finish Rough RPM From above list CS-7 Q1 Cutting Speeds Cutting Speed Quiz 1. How many RPM's are required to turn a gear blank 4.5" in diameter at a cutting speed of 42 FPM? 2. A piece of Tool Steel, 3/4" in diameter is turned in a lathe. How many RPM's are necessary if the cutting speed is 30 FPM? 3. If turning a Cast Iron Pulley, 14" in diameter. what RPM's are necessary using a cutting speed of 46 FPM? 4. It is desired to turn a 3/8" diameter screw at 70 FPM. Then a thread is to be chased at 20 FPM. Find the turning RPM and the threading RPM. 6. Find the Revolutions Per Minute for the following; (A) Drill a 3/16" diameter hole in brass. (B) Bore a 2 1/4" hole in aluminum. (C) Mill the surface of low carbon steel with a 3/4" end mill. (D) Turn a 2" diameter workpiece made from cast iron material. (E) Chase a 1/2-13 thread on stainless steel using a single point threading tool.