ACE Controls Main Catalog - ACE - #14

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12 ACE Controls Inc. · 800-521-3320 · (248) 476-0213 · Fax (248) 476-2470 · www.acecontrols.com · email: shocks@acecontrols.com Rotary Sizing Examples S S ù I T Rs S ù I T Rs k S ù T W Rs Dt S ù T Rs L W H ù T L W H Rs FORMULA Wa = (4637•I)/Rs2) V = (Rs)•(ù)/688 F = T/Rs E1 = (0.186)•(Wa)•(V2) E2 = (F)•(s) E3 = E1 + E2 E4 = (E3)•(C) We = E3 / [(0.186)•(V2)] Wa = (4,637•3,930)/(402) = 11,390 lbs V = (40)•(172)/688 = 10 ft/sec F = 480,000/40 = 12,000 lbs E1 = (0.186)•(11,390)•(102) = 211,854 in lbs E2 = (12,000)•(6) = 72,000 in lbs E3 = 211,854 + 72,000 = 283,854 in lbs E4 = (283,854)•(30) = 8,515,620 in lbs/h We = 283,854 / [(0.186)•(102)] = 15,260.9 lbs EXAMPLE I = 3,930 lb-ft-sec2 ù = 172°/sec T = 480,000 lbs-in Rs = 40 inches C = 30/hour s = 6 inches R1 Moment of Inertia, Horizontal Plane Examples: Swing Bridges, Radar Antenna R1 - Select from Model Rating Chart: CA 4 x 6-3 Wa = (W)•(k2)/(Rs2) V = (Rs)•(ù)/688 F = T/Rs E1 = (0.186)•(Wa)•(V2) E2 = (F)•(s) E3 = E1 + E2 E4 = (E3)•(C) We = E3 / [(0.186)•(V2)] Wa = (300)•(2.52))/(252) = 3 lbs V = (25)•(180)/688 = 6.54 ft/sec F = 9,000/25 = 360 lbs E1 = (0.186)•(3)•(6.542) = 23.87 in lbs E2 = (360)•(1) = 360 in lbs E3 = 23.87 + 360 = 383.87 in lbs E4 = (383.87)•(1,200) = 460,644 in lbs/h We = 383.87 / [(0.186)•(6.542)] = 48.20 lbs W = 300 lbs k = 2.5 inches ù = 180°/sec T = 9,000 lbs-in Rs = 25 inches C = 1,200/hour s = 1 inches R2 Radius of Gyration, Horizontal Plane Examples: Packaging Equipment, Pick-and-Place Robots R2 - Select from Model Rating Chart: MC 3325-1 or MA 3325 Wa = (W•Rt2)/(2•Rs2) V = (Rs)•(ù)/688 F = T/Rs E1 = (0.186)•(Wa)•(V2) E2 = (F)•(s) E3 = E1 + E2 E4 = (E3)•(C) We = E3 / [(0.186)•(V2)] Wa = (195•202))/(2•152) = 173.3 lbs V = (15)•(85)/688 = 1.85 ft/sec F = 1,700/15 = 113.3 lbs E1 = (0.186)•(173.3)•(1.852) = 110.3 in lbs E2 = (113.3)•(0.75) = 85 in lbs E3 = 110.3 + 85 = 195.3 in lbs E4 = (195.3)•(60) = 11,718 in lbs/h We = 195.3 / [(0.186)•(1.852)] = 306.8 lbs W = 195 lbs Dt = 40 inches ù = 85°/sec T = 1,700 lbs-in Rs = 15 inches C = 60/hour s = .75 inches R3 Index Table Examples: Index Table, Rotating Work Station R3 - Select from Model Rating Chart: SC 300-4 or MC 225H Wa = (W)•(H2+L2)/12•(Rs2) V = (Rs)•(ù)/688 F = T/Rs E1 = (0.186)•(Wa)•(V2) E2 = (F)•(s) E3 = E1 + E2 E4 = (E3)•(C) We = E3 / [(0.186)•(V2)] Wa = (150)•(12+382))/(12•(122) = 125.43 lbs V = (12)•(70)/688 = 1.22 ft/sec F = 15,000/12 = 1,250 lbs E1 = (0.186)•(125.43)•(1.222) = 34.72 in lbs E2 = (1,250)•(1) = 1,250 in lbs E3 = 37.34 + 1,250 = 1,284.72 in lbs E4 = (1,287)•(500) = 642,362 in lbs/h We = 1,287 / [(0.186)•(1.222)] = 4,640.6 lbs W = 150 lbs L = 38 inches H = 1 inch ù = 70°/sec T = 15,000 lbs-in Rs = 12 inches C = 500/hour s = 1 inches R4 Turnover Examples: Roll-Over Device, Paint Booths, Crate Handling R4 - Select from Model Rating Chart: MC 4525-4 or MA 4525 Wa = (W)•(H2+4•L2)/12•(Rs2) V = (Rs)•(ù)/688 F = T/Rs E1 = (0.186)•(Wa)•(V2) E2 = (F)•(s) E3 = E1 + E2 E4 = (E3)•(C) We = E3 / [(0.186)•(V2)] Wa = (75)•(22+4•302)/12•(152) = 100.1 lbs V = (15)•(180)/688 = 3.92 ft/sec F = 9,000/15 = 600 lbs E1 = (0.186)•(100.1)•(3.922) = 286.1 in lbs E2 = (600)•(1) = 600 in lbs E3 = 307.64 + 600 = 886.1 in lbs E4 = (886.1)•(100) = 88,610 in lbs/h We = 886.1 / [(0.186)•(3.922)] = 310 lbs W = 75 lbs L = 30 inches H = 2 inches ù = 180°/sec T = 9,000 lbs-in Rs = 15 inches C = 100/hour s = 1 inch R5 Uniform Bar, Horizontal Plane Examples: Swinging Beam, Robotic Arm R5 - Select from Model Rating Chart: MC 4525-2 or MA 4525 W = Moving Weight (lbs) V = Impact Velocity (ft/sec) Wa = Apparent Weight at Shock Absorber (lbs) ù = Angular Velocity (°/sec) I = Moment of Inertia (lb-ft-sec2) k = Radius of Gyration (inches) T = Propelling Torque (lbs-in) Rs = Mounting Radius of the Shock (inches) Dt = Diameter of Turntable (inches) s = Stroke length of Shock Absorber (inches) H = Thickness of Object (inches) L = Length of Object (inches) C = Cycles per Hour (/hour) E1 = Kinetic Energy (in lbs) E2 = Propelling Force Energy (in lbs) E3 = Energy per Cycle (in lbs) E4 = Energy per Hour (in lbs/hour) We = Effective Weight (lbs)