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W = Moving Weight (lbs)<br />
V = Impact Velocity (ft/sec)<br />
Fp = Known Propelling Force (lbs)<br />
M = Total Distance Moved by Weight (inches)<br />
D = Distance Moved by Weight to Shock (inches)<br />
A = Angle of <strong>Inc</strong>lined Plane (°)<br />
Wcw = Counter Weight (lbs)<br />
C = Cycles per Hour (/hour)<br />
s = Stroke Length of Shock Absorber (inches)<br />
F = Propelling Force at Shock Absorber (lbs)<br />
V1 Weight, Vertical Free Fall Examples: Elevator Emergency Stops, Flying Shears, Test Equipment<br />
FORMULA<br />
D = (M) - (s)<br />
V = √(5.4)•(D)•SIN(A)<br />
F = (W)•SIN(A)<br />
E1 = (0.186)•(W)•(V2 )<br />
E2 = (F)•(s)<br />
E3 = E + E 1 2<br />
E4 = (E )•(C) 3<br />
We = E / [(0.186)•(V 3 2 )]<br />
EXAMPLE<br />
W = 200 lbs<br />
M = 18 inches<br />
C = 60/hour<br />
s = 3 inches<br />
D = (18) - (3) = 15 inches<br />
V = √(5.4)•(15) = 9 ft/sec<br />
F = 200 = 200 lbs<br />
E 1 = (0.186)•(200)•(9 2 ) = 3,013.2 in lbs<br />
E 2 = (200)•(3) = 600 in lbs<br />
E 3 = 3,613.2 = 3,613.2 in lbs<br />
E 4 = (3,013.2)•(60) = 216,792 in lbs/h<br />
We = 3,013.2 / [(0.186)•(9 2 )] = 239.8 lbs<br />
V1 - Select from Model Rating Chart: MA 4575<br />
V2 Weight Sliding Down <strong>Inc</strong>line <strong>Inc</strong>lined Non-Powered Conveyor, Package Chute, Parts Transfer Ramp<br />
D = (M) - (s)<br />
V = √(5.4)•(D)•SIN(A)<br />
F = (W)•SIN(A)<br />
E1 = (0.186)•(W)•(V2 )<br />
E2 = (F)•(s)<br />
E3 = E + E 1 2<br />
E4 = (E )•(C) 3<br />
We = E / [(0.186)•(V 3 2 D = (15) - (2) = 13 inches<br />
V = √(5.4)•(13)•SIN (30) = 5.9 ft/sec<br />
F = 500 = 500 lbs<br />
E1 = (0.186)•(1,000)•(5.9<br />
)]<br />
2 ) = 6,474.7 in lbs<br />
E2 = (500)•(2) = 1,000 in lbs<br />
E3 = 6,474.7 + 1,000 = 7,474.7 in lbs<br />
E4 = (7,474.7)•(190) = 1,420,193 in lbs/h<br />
We = 7,474.7 / [(0.186)•(5.92 W = 1,000 lbs<br />
M = 15 inches<br />
A = 30°<br />
C = 190/hour<br />
s = 2 inches<br />
)] = 1,154.5 lbs<br />
V2 - Select from Model Rating Chart: MCA 6450-1 or -2<br />
V3 Down <strong>Inc</strong>line with Propelling Force <strong>Inc</strong>lined Conveyor Belt, High Speed Safety Doors<br />
F = (W)•SIN(A)+(Fp)<br />
E1 = (0.186)•(W)•(V2 )<br />
E2 = (F)•(s)<br />
E3 = E + E 1 2<br />
E4 = (E )•(C) 3<br />
We = E / [(0.186)•(V 3 2 )]<br />
W = 100 lbs<br />
V = 2 ft/sec<br />
Fp = 50 lbs<br />
A = 15°<br />
C = 30/hour<br />
s = 0.5 inches<br />
F = (100)•SIN(15)+(50) = 75.9 lbs<br />
E1 = (0.186)•(100)•(22 ) = 74.4 lbs<br />
E2 = (75.9)•(0.5) = 38 in lbs<br />
E3 = 74.4 + 38 = 112.4 in lbs<br />
E4 = (112.4)•(30) = 3,370.5 in lbs<br />
We = 112.4 / [(0.186)•(22 )] = 151.1 in lbs<br />
V3 - Select from Model Rating Chart: MC 150H<br />
V4 Up <strong>Inc</strong>line With Propelling Force Elevator, <strong>Inc</strong>lined Power Conveyor<br />
F = (Fp)-(W)•SIN A<br />
E1 = (0.186)•(W)•(V2 )<br />
E2 = (F)•(s)<br />
E3 = E + E 1 2<br />
E4 = (E )•(C) 3<br />
We = E / [(0.186)•(V 3 2 )]<br />
W = 450 lbs<br />
V = 1 ft/sec<br />
Fp = 600 lbs<br />
A = 90°<br />
C = 60/hour<br />
s = 1 inch<br />
F = (600)-(450)•SIN(90) = 150 lbs<br />
E 1 = (0.186)•(450)•(1 2 ) = 83.7 in lbs<br />
E 2 = (150)•(1) = 150 in lbs<br />
E 3 = 83.7 + 150 = 234 in lbs<br />
E 4 = (234)•(60) = 14,040 in lbs/h<br />
We = 2341 / [(0.186)•(1 2 )] = 1,258.1 lbs<br />
V4 - Select from Model Rating Chart: MA 600 or SC 650-4<br />
V5 Down <strong>Inc</strong>line with Counter Weight Lifting Door with Counter Balance<br />
F = (W)•SIN (A)-Wcw<br />
E1 = (0.186)•(W)•(V2 )<br />
E2 = (F)•(s)<br />
E3 = E + E 1 2<br />
E4 = (E )•(C) 3<br />
We = E / [(0.186)•(V 3 2 )]<br />
W = 1,500 lbs<br />
V = 0.5 ft/sec<br />
A = 45°<br />
Wcw = 500 lbs<br />
C = 1/hour<br />
s = 1 inch<br />
F = (1,500)•SIN(45)-500 = 560.7 lbs<br />
E 1 = (0.186)•(1,500)•(0.5 2 ) = 69.8 in lbs<br />
E 2 = (560.7)•(1) = 560.7 in lbs<br />
E 3 = 69.8 + 560.7 = 630.5 in lbs<br />
E 4 = (636)•(1) = 630.5 in lbs/h<br />
We = 630.5 / [(0.186)•(0.5 2 )] = 13,559.1 lbs<br />
V5 - Select from Model Rating Chart: ML 3325<br />
<strong>Inc</strong>lined and Vertical Sizing Examples<br />
<strong>Air</strong>-<strong>Oil</strong> <strong>Systems</strong>, <strong>Inc</strong>. www.airoil.com<br />
E 1 = Kinetic Energy (in lbs)<br />
E 2 = Propelling Force Energy (in lbs)<br />
E 3 = Energy per Cycle (in lbs)<br />
E 4 = Energy per hour (in lbs/hour)<br />
We = Effective Weight (lbs)<br />
ACE Controls <strong>Inc</strong>. · 800-521-3320 · (248) 476-0213 · Fax (248) 476-2470 · www.acecontrols.com · email: shocks@acecontrols.com<br />
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