Useful Formulas, Tables, and Conversion Factors. Engineering9 SECTION. advancing chain technology

Transcription

1 Useful Formulas, Tables, and Conversion Factors SECTION 126

2 Horsepower Horsepower equals 33,000 foot-pounds per minute or 550 foot-pounds per second. In terms of chain load and speed use the following: HP = (Working Load x Ft/min) / 33,000 or HP = Working Load x T x P x RPM / 396,000 Where: T = sprocket teeth P = Chain pitches (in.) Engineering Formulas Centrifugal Pull or Tension Centrifugal pull or tension caused by the weight and velocity of the chain may be calculated from the following: Centrifugal Pull = [Wt. Per Foot of Chain x (FPM) 2 ] / 115,900 Total Chain Tension Total Chain Tension = Working Load + Centrifugal Pull Ratio Ratio = N/n or R/r Where: N = teeth in large sprocket n = teeth in small sprocket R = RPM of large sprocket r = RPM of small sprocket Feet Per Minute (FPM) FPM = (n x P x r) / 12 Where: n = teeth in small sprocket P = Pitch r = RPM of small sprocket Chain Working Load When the input horsepower is known and the chain working load is desired, this can be calculated as follows: Working Load = (HP x 33,000) / FPM or Working Load = (HP x 396,000) / (T x P x R) Chain Bearing Pressure Chain Bearing Pressure = (Working Load) / (L x D) Where: L = Bushing length D = Pin diameter Torque and Horsepower (HP) HP = [Torque (inch-pounds) x RPM] / 63,000 or HP = [Torque (foot-pounds) x RPM] / 5,250 Kilowatts to Horsepower 1 KW = HP (approx.) or HP = KW / [.746 x Efficiency] Where: Efficiency =.90 for generators =.87 for motors Factor of Safety (FS) Factor of safety is determined from the following: FS = Chain ATS / Chain WL Where: ATS = Average tensile strength WL = Working load 127

3 Length Volume Velocity Mass Force Momentum Pressure Power Temp. Conversion Factors Selected Conversion Factors Given Quantity Multiply By To Obtain Centimeter Foot Centimeter Inch Foot Meter Inch 25.4 Millimeter Meter Foot Millimeter Inch Centimeter Inch 3 Foot Liter Inch 3 16, Milliliter Liter Foot 3 Liter Gallon Quart Liter Centimeter/second Foot/minute Centimeter/second Foot/second Centimeter/minute Inch/minute Foot/minute Meter/minute Foot/second Meter/second Inch/minute 25.4 Millimeter/minute Mile/hour Kilometer/hour Meter/minute Foot/minute Meter/second Foot/minute Meter/second Foot/second Millimeter/minute Inch/minute Gram Ounce Kilogram Ounce Kilogram Pound Kilogram/meter Pound/foot 3 Ounce Gram Ounce Kilogram Pound Kilogram Pound/foot Kilogram/meter 3 Newton Pound-force Newton Kilogram-force Newton/meter Pound/inch Newton/meter Pound/foot Pound/inch Newton/meter Pound/foot Newton/meter Kilogram-meter/second Pound-foot/second Kilogram-meter/second Pound-inch/second Pound-foot/second Kilogram-meter/second Pound-inch/second Kilogram-meter/second Kilogram/centimeter Pound/inch 2 Kilogram/meter Pound/foot 2 Kilogram/meter Newton/meter 2 Newton/millimeter Pound/inch 2 Newton/meter Kilogram/meter 2 Pound/inch Kilogram/centimeter 2 Pound/foot Kilogram/meter 2 Pound/inch Newton/millimeter 2 Foot-pound/minute Watt Horsepower Kilowatt Horsepower Watt Kilowatt Horsepower Watt Horsepower Watt Foot-pound/minute Celsius 9 (then /5 and + 32) Fahrenheit Fahrenheit (first -32, then /9) x 5 Celsius 128

4 Chain Length in Feet Converted from Pitches Conversion Factors Chain Pitch (inches) Pitches

5 Conversion Factors Chain Length in Feet Converted from Pitches Chain Pitch (inches) Pitches

6 Conversion Factors Chain Length in Feet Converted from Pitches Chain Pitch (inches) Pitches

7 Torque Values Chart of Torque Values (inch-pounds) Horsepower (HP) RPM , , , , ,375 78, , , , , ,250 52, , , , , , ,688 39,375 78, , , , , , , ,750 31,500 63,000 94, , , , , , ,125 26,250 52,500 78, , , , , , ,250 22,500 45,000 67,500 90, , , , , , ,844 19,688 39,375 59,063 78, , , , , , ,750 17,500 35,000 52,500 70, , , , , , ,875 15,750 31,500 47,250 63,000 94, , , , , , ,300 12,600 25,200 37,800 50,400 75, , , , , , ,250 10,500 21,000 31,500 42,000 63,000 84, , , , , , ,500 9,000 18,000 27,000 36,000 54,000 72,000 90, , , , , ,938 7,875 15,750 23,625 31,500 47,250 63,000 78,750 94, , , , , ,150 6,300 12,600 18,900 25,200 37,800 50,400 63,000 75, , , , , ,625 5,250 10,500 15,750 21,000 31,500 42,000 52,500 63, , , , , , ,969 3,938 7,875 11,813 15,750 23,625 31,500 39,375 47,250 78, , , , , , ,575 3,150 6,300 9,450 12,600 18,900 25,200 31,500 37,800 63,000 94, , , , , , , ,313 2,625 5,250 7,875 10,500 15,750 21,000 26,250 31,500 52,500 78, , , , , , , , ,125 2,250 4,500 6,750 9,000 13,500 18,000 22,500 27,000 45,000 67,500 90, , , , , , , , ,969 3,938 5,906 7,875 11,813 15,750 19,688 23,625 39,375 59,063 78, , , , , , , , ,750 3,500 5,250 7,000 10,500 14,000 17,500 21,000 35,000 52,500 70, , , , , , , , ,575 3,150 4,725 6,300 9,450 12,600 15,750 18,900 31,500 47,250 63,000 94, , , , , , , , ,313 2,625 3,938 5,250 7,875 10,500 13,125 15,750 26,250 39,375 52,500 78, , , , , , , , ,125 2,250 3,375 4,500 6,750 9,000 11,250 13,500 22,500 33,750 45,000 67,500 90, , , , , , , ,969 2,953 3,938 5,906 7,875 9,844 11,813 19,688 29,531 39,375 59,063 78,750 98, , , , , , ,750 2,625 3,500 5,250 7,000 8,750 10,500 17,500 26,250 35,000 52,500 70,000 87, , , , , , ,575 2,363 3,150 4,725 6,300 7,875 9,450 15,750 23,625 31,500 47,250 63,000 78,750 94, , , , , ,260 1,890 2,520 3,780 5,040 6,300 7,560 12,600 18,900 25,200 37,800 50,400 63,000 75,600 88, , , , ,050 1,575 2,100 3,150 4,200 5,250 6,300 10,500 15,750 21,000 31,500 42,000 52,500 63,000 73,500 84, , , ,181 1,575 2,363 3,150 3,938 4,725 7,875 11,813 15,750 23,625 31,500 39,375 47,250 55,125 63,000 78, , ,260 1,890 2,520 3,150 3,780 6,300 9,450 12,600 18,900 25,200 31,500 37,800 44,100 50,400 63,000 94, ,050 1,575 2,100 2,625 3,150 5,250 7,875 10,500 15,750 21,000 26,250 31,500 36,750 42,000 52,500 78, ,350 1,800 2,250 2,700 4,500 6,750 9,000 13,500 18,000 22,500 27,000 31,500 36,000 45,000 67, ,181 1,575 1,969 2,363 3,938 5,906 7,875 11,813 15,750 19,688 23,625 27,563 31,500 39,375 59, ,050 1,400 1,750 2,100 3,500 5,250 7,000 10,500 14,000 17,500 21,000 24,500 28,000 35,000 52, ,260 1,575 1,890 3,150 4,725 6,300 9,450 12,600 15,750 18,900 22,050 25,200 31,500 47,

8 Chart of Working Load Values (Lbs.) Working Loads Linear Speed in Ft./Min. HP , , , ,640 1, ,960 1, ,280 2,640 1, ,600 3,300 1, ,920 3,960 1, ,560 5,280 2,640 1, ,200 6,600 3,300 1, ,800 9,900 4,950 2,475 1, ,400 13,200 6,600 3,300 1,650 1, ,600 19,800 9,900 4,950 2,475 1,650 1, ,800 26,400 13,200 6,600 3,300 2,200 1,650 1,320 1, ,000 33,000 16,500 8,250 4,125 2,750 2,063 1,650 1,375 1,179 1, ,200 39,600 19,800 9,900 4,950 3,300 2,475 1,980 1,650 1,414 1,238 1, ,400 46,200 23,100 11,550 5,775 3,850 2,888 2,310 1,925 1,650 1,444 1,283 1, ,600 52,800 26,400 13,200 6,600 4,400 3,300 2,640 2,200 1,886 1,650 1,467 1, ,000 66,000 33,000 16,500 8,250 5,500 4,125 3,300 2,750 2,357 2,063 1,833 1, ,400 79,200 39,600 19,800 9,900 6,600 4,950 3,960 3,300 2,829 2,475 2,200 1, ,000 99,000 49,500 24,750 12,375 8,250 6,188 4,950 4,125 3,536 3,094 2,750 2, , ,000 66,000 33,000 16,500 11,000 8,250 6,600 5,500 4,714 4,125 3,667 3, , ,000 82,500 41,250 20,625 13,750 10,313 8,550 6,875 5,893 5,156 4,583 4, , ,000 99,000 49,500 24,750 16,500 12,375 9,900 8,250 7,071 6,188 5,500 4, , , ,500 57,750 28,875 19,250 14,438 11,550 9,625 8,250 7,219 6,417 5, , , ,000 66,000 33,000 22,000 16,500 13,200 11,000 9,429 8,250 7,333 6, , , ,000 82,500 41,250 27,500 20,625 16,500 13,750 11,786 10,313 9,167 8,

9 Driven Sprocket Speed Ratios for Sprocket Tooth Combinations Driver Sprocket

10 40 1/2" Pitch

11 1/2" Pitch

12 50 5/8" Pitch

13 3/4" Pitch

14 80 1" Pitch

15 1" Pitch

16 /2" Pitch

17 1-3/4" Pitch

18 160 2" Pitch

19 2-1/4" Pitch