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Conveyor Design Calc

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Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37 This is a worksheet only. It is to be hidden from view. Customer Name Conveyor Number Conveyor Length (m) 1000 Load (T/hour) 700 86.8 kW Belt Speed (m/s) 2.5 1050 mm Material Lift Height (m) 0 RECOMMENDED DRUM MOTOR Ambient temperature (deg C) Min -10 90 kW Ambient temperature (deg C) Max 40 2.5 m/s Initial Velocity of Material (m 0 JOKI Model(s): Number of Belt Cleaners 2 800 Number of Belt Ploughs 1 $0 Length of Skirt Zone (m) 3 Depth of Mat'l in skirt zone (m 25 Number of Non-driven Pulleys 4 ALTERNATE DUAL DRIVE OPTION 0 Kg/m 0 55 kW/ea 2.5 m/s JOKI Model(s): Elevation (Km above sea level) 1.0 630, 800 Type of Material Sand, dry bank $0 Belt Width (mm) 1000 0 Belt Carcass Type Fabric Idler Roll diam (mm) 108 CEMA Type (A,B,C,D,E) C RECOMMENDED OPTIONS: Troughing (carrying) Idler Spac 1.2 Required Belt Pull, Te = 33209 N SPECIAL NOTES: Engineering Design Data: Ai 10.2304 N Tm 0 N Calculated power to drive c 83.02 kW Cs 0.1378 Tp 999 N Drive pulley bearing fricti 1.07 kW H 0 m Tpl 876 N Power at motor: 84.10 kW Kt 1.06 Tsb 269 N Gear loss in motorized pull 2.69 kW Kx 0.93kg/m Ttr 0 N Calculated power for JOKI 86.79 kW Ky 0.019 Tx 9654 N Derate for high elevation 0.00 kW L 1000 m Tyb 4671 N Required Power for motorize 86.79 kW Q 700 mtph Tyc 2611 N Si 1.2 m Tym 14504 N (Note: JOKI models above are based on 50 Hz Tac 2895 N Tyr 2059 N Tam 486 N V 3 m/s Power savings for 3 shift/day, 50 week/yr operation Tb 0 N Wb 13 kg/m (JOKI pulley compared to gearmotor & V-belt drive) Tbc 1751 N Wm 78 kg/m Save: 23876 Kw-Hrs/Yr, 1 shift/day or 71629 Kw-Hr Te 33209 N Save: 2077 €/Yr, 1 shift/day or 6232 €/Yr, 3 shifts/d
Transcript
Page 1: Conveyor Design Calc

document.xls 04/08/2023 05:22:46

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37

This is a worksheet only. It is to be hidden from view.

Customer NameConveyor NumberConveyor Length (m) 1000Load (T/hour) 700 86.8 kWBelt Speed (m/s) 2.5 1050 mmMaterial Lift Height (m) 0 RECOMMENDED DRUM MOTORAmbient temperature (deg C) Min -10 90 kWAmbient temperature (deg C) Max 40 2.5 m/sInitial Velocity of Material (m/s) 0 JOKI Model(s):Number of Belt Cleaners 2 800Number of Belt Ploughs 1 $0 Length of Skirt Zone (m) 3Depth of Mat'l in skirt zone (mm) 25Number of Non-driven Pulleys 4 ALTERNATE DUAL DRIVE OPTION0 Kg/m 0 55 kW/ea

2.5 m/s

JOKI Model(s):

Elevation (Km above sea level) 1.0 630, 800Type of Material Sand, dry bank $0 Belt Width (mm) 1000 0

Belt Carcass Type Fabric

Idler Roll diam (mm) 108 CEMA Type (A,B,C,D,E) C RECOMMENDED OPTIONS:Troughing (carrying) Idler Spacing (m) 1.2

Required Belt Pull, Te = 33209 N SPECIAL NOTES:

Engineering Design Data:

Ai 10.2304 N Tm 0 N Calculated power to drive conveyor 83.02Cs 0.1378 Tp 999 N Drive pulley bearing friction: 1.07H 0 m Tpl 876 N Power at motor: 84.10

Kt 1.06 Tsb 269 N Gear loss in motorized pulley: 2.69Kx 0.93kg/m Ttr 0 N Calculated power for JOKI 86.79Ky 0.019 Tx 9654 N Derate for high elevation 0.00L 1000 m Tyb 4671 N Required Power for motorized pulle 86.79Q 700 mtph Tyc 2611 NSi 1.2 m Tym 14504 N (Note: JOKI models above are based on 50 Hz power.)

Tac 2895 N Tyr 2059 N

Tam 486 N V 3 m/s Power savings for 3 shift/day, 50 week/yr operationTb 0 N Wb 13 kg/m (JOKI pulley compared to gearmotor & V-belt drive)

Tbc 1751 N Wm 78 kg/m Save: 23876 Kw-Hrs/Yr, 1 shift/day or 71629 Kw-Hrs/Yr, 3Te 33209 N Save: 2077 €/Yr, 1 shift/day or 6232 €/Yr, 3 shifts/day @

Page 2: Conveyor Design Calc

document.xls 04/08/2023 05:22:46

kWkWkWkWkWkWkW

(Note: JOKI models above are based on 50 Hz power.)

Power savings for 3 shift/day, 50 week/yr operation(JOKI pulley compared to gearmotor & V-belt drive)

Save: 23876 Kw-Hrs/Yr, 1 shift/day or 71629 Kw-Hrs/Yr, 3Save: 2077 €/Yr, 1 shift/day or 6232 €/Yr, 3 shifts/day @

Page 3: Conveyor Design Calc

Specifier

document.xls, Specifier, Page 3 of 8 04/08/2023 05:22:46

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37Specifier Sheet and Recommendation Summary

04/08/23Date

www.rulmecacorp.com

© Copyright - Rulmeca Group

Telephone Telefax e-mail

Project Name Conveyor Reference

Conveyor Length (m) 1000 86.8 kWTonnage Rate (metric tons/hour) 700Belt Speed (m/s) 2.5 BELT PULL SUMMARY: Force (N)

0.0 Standard Loading Belt Pull 33,209-10 Extra pull for Hopper (if any) 0 ###

Ambient temperature (°C) Max 40 Extra pull for Slider Bed (if any) 0 Sand, dry, bank, 0.138

0 Extra pull for Diverter or Tripper (if any) 0Number of Belt Cleaners 2 TOTAL Required Belt Pull (Te): 33,209 Ashes, coal, dry, 0.057

Number of Return Belt Scrapers 1 Bauxite, ground, 0.188

Length of Skirt Zone (m) 3 RECOMMENDED OPTIONS: Cement, Portland, Dry 0.212

25 Cement clinker, 0.122

Number of Non-driven Pulleys 4 Clay, ceramic, dry fines,0.092Coal, bitum. mined, 0.075

Elevation Above Sea Level SPECIAL NOTES (if any): Coke, ground fine, 0.045Cullet (broken glass), 0.084

Material, fric coeff Grains,wheat,corn,etc, 0.043Gravel, bank run, 0.115

Belt Width Iron Ore, 0.276Limestone, pulv.,dry, 0.128

Belt Carcass Type RECOMMENDED "SINGLE DRIVE" MOTORIZED PULLEY: Phosphate rock, dry, 0.109Salt, dry fine, 0.081

Idler Roll diameter Power: 90 kW Models Available: Sand, dry, bank, 0.138Wood chips, 0.010

Belt Speed: 2.5 m/s 800

Troughing Idler Spacing Face Width: 1050 mm

Angle of Wrap** RECOMMENDED "DUAL DRIVE" MOTORIZED PULLEY:

Type of Lagging Power: 55 kW/ea Models Available:

Type of Take-up Belt Speed: 2.5 m/s 630, 800

Type of Belt Face Width: 1050 mm

Power savings - 1 shift and 3 shift per day:Condition of Idlers & Pulleys (Motorized Pulley compared to exposed conveyor belt drives) Condition of Idlers & Pulleys

Save: 23876 Kw-Hrs/Yr, 1 shift/day or 71629 Kw-Hrs/Yr, 3 shifts/day** This parameter is for either single or dual drive arrangement. Save: 2077 €/Yr, 1 shift/day or 6232 €/Yr, 3 shifts/day @ 0.087 €/Kw-Hr

#N/A *A smaller pulley diameter may cause belt carcass or fastener damage.

This calculation does not check pulley/belt traction. Theoretical Belt Strength (based on piw and belt width)Belt Strength (lbs)= belt width (in) x piw

Special Loading Conditions: Belt Width=

3. Sidewall & Cleated Belt Parameters: piw =

2. For slider bed, specify bed length and type of bed material below. Sidewall & cleat height (mm) 0 Belt Strength=

Thickness of sidewall (mm) 0 ###

Distance between cleats (mm) 0 420 degrees (dual)

Thickness of cleats (mm) 0 180 degrees

1. Hopper Feeder Design Parameters Extra Sidewall & Cleat Wt (incl above) 0 Kg/m 200 degrees

Hopper opening width (mm) 0 210 degrees

Hopper opening length (mm) 0 4. Tripper Design Parameters 220 degrees

Tripper length (m) 0 240 degrees

Material lift height on tripper (m) 0 360 degrees (dual)

2. Slider Bed Design Parameters No. of belt cleaners on tripper 0 420 degrees (dual)

Slider Bed Length (m) 0 Length of tripper skirt zone (m) 0

Type of Slider Bed Material Depth of material in skirt zone (mm) 0 Slider Bed Frictional Coefficient 0 No. of non-driven pulleys on tripper 0

Estimated belt tension, Te (N) 0 Estimated factor, Ky 0.03

Bulk Density Chart Imperial

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Go to Trajectory Sheet

Standard Loading Conditions:REQUIRED POWER:

Material Lift Height (m)Ambient temperature (°C) Min

Initial Velocity of Material (m/s)

Depth of Mat'l in skirt zone (mm)

Go to Design Parameters

CEMA Type

Bulk Density (Kg/m3)

Go to Design Parameters

1. For hopper feeder specify opening dimensions below.

3. If belt has cleats and/or sidewalls show dimensions below.

4. If conveyor has a tripper, define tripper below.

5. If conveyor has diverter(s), define below.

Page 4: Conveyor Design Calc

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37Model Selector

0 04/08/230 Date0

© Copyright - Rulmeca Group

0 0 0

Telephone Telefax e-mail

0 0Project Name Conveyor Reference

86.8 kWSelect Model

BELT PULL SUMMARY: Force (N) Standard Loading Belt Pull 33,209 Extra pull for Hopper (if any) 0 Extra pull for Slider Bed (if any) 0 Force (N) Extra pull for Diverter or Tripper (if any) 0 Maximum Allowable Radial Load 73,600 TOTAL Required Belt Pull (Te): 33,209 Estimated Maximum Radial Load #N/A

#N/A#N/A

RECOMMENDED OPTIONS (if any):#N/ASelected Diameter is 800 mm#N/A

SPECIAL NOTES (if any): (This calculation does not check pulley/belt traction.)

#N/A

Check Belt Tension Force (N)Maximum Belt Tension (T1) #N/AAllowable Belt Tension 77,606

RECOMMENDED "SINGLE DRIVE" MOTORIZED PULLEY: #N/A

Power: 90 kW Models Available:

Belt Speed: 2.5 m/s 800

Face Width: 1050 mm

RECOMMENDED "DUAL DRIVE" MOTORIZED PULLEY:

Power: 55 kW/ea Models Available:

Belt Speed: 2.5 m/s 630, 800

Face Width: 1050 mm

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REQUIRED POWER:

Check Radial Load (to prevent internal damage to pulley)

Check Pulley Diameter (to prevent belt damage.)

Go to Design Parameters

Page 5: Conveyor Design Calc

document.xls, Design Parameters, Page 5 of 8 04/08/2023 05:22:47

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37Design Parameter Summary

0 04/08/230 Date0 www.rulmecacorp.com

© Copyright - Rulmeca Group

0 0 0

Telephone Telefax e-mail

0 0Project Name Conveyor Reference

Power Calculation Summary Calculated power to drive conveyor belt: 83.0 kW Drive pulley bearing friction: 1.1 kW Power at motor: 84.1 kW Gear loss in motorized pulley: 2.7 kW Calculated power 86.8 kW Derate for high elevation 0.0 kW Derate for high temperature 0.0 kW Required Power for motorized pulley: 86.8 kW

Symbol Value Definition of TermsTe 33209 N Te = effective belt tension at drive.

ang #N/A ang = angle of belt wrap around drive pulley(s).Cw #N/AT2 #N/A T2 = estimated "slack-side tension" required to keep belt from slipping on pulley surface.T1 #N/A T1 = Te + T2

T1 + T2 #N/A T1 + T2 = Sum of belt forces on drive pulley. NOTE: This is not a vector sum.T_L Full Lagging T_L = type of lagging specified for drive pulley(s).

Tatype Manual Tatype = type of take-up specified to apply "slack-side tension".Beltype 4 ply Beltype = type of belt carsass specified.

w 1000 mm w = belt widthstr 17323 N str = tensile strength of specified belt.

pstr #N/A pstr = percentage of available belt tensile strength used.btr 14 to 21 mm btr = thickness range of specified beltAi 10.2304 N Ai = belt tension required to overcome frictional resistance and rotate idlers.Cs 0.1378 Cs = skirtboard friction factor.H 0 m H = vertical distance that material is lifted or lowered.

Kt 1.06 Kt = ambient temperature correction factor.

Kx 0.93kg/m

Ky 0.02 Ky = factor to calculate resistance of belt and resistance of load to flexure as they move over idlers.L 1000 m L = length of conveyor.Q 700 mtph Q = tons per hour conveyed.Si 1.2 m Si = troughing idler spacing.

Tac 2895 N Tac = total of the tensions from conveyor accessories.Tam 486 N Tam = tension required to accelerate the material continuously as it is fed onto belt.Tb 0 N Tb = tension required to lift or lower the belt.Tbc 1751 N Tbc = tension required to overcome belt cleaner drag.Te 33209 N Te = effective belt tension at drive.Tm 0 N Tm = tension required to lift or lower conveyed material.

Tp 999 N

Tpl 876 N Tpl = tension required to overcome belt plow drag.Tsb 269 N Tsb = tension required to overcome skirtboard drag.Ttr 0 N Ttr = tension required to overcome special loading condition(s.)Tx 9654 N Tx = tension required to overcome carrying and return idler friction.

Tyb 4671 N Tyb = total of tensions due to resistance of belt to flexure as it rides over carrying and return idlers.Tyc 2611 N Tyc = tension due to resistance of belt to flexure as it rides over carrying idlers.Tym 14504 N Tym = tension due to resistance of material to flexure as it rides over carrying idlers.Tyr 2059 N Tyr = tension due to resistance of belt to flexure as it rides over return idlers.V 3 m/s V = design belt speed.

Wb 13 kg/m Wb = weight of belt per unit of length of conveyor.Wm 78 kg/m Wm = weight of material per unit of length of conveyor.

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Kx = factor to calculate frictional resistance of the idlers and the sliding resistance between belt and idler rolls.

Return to Specifier Sheet

Tp = tension required to overcome resistance of belt to flexure around pulleys and resistance of pulleys to rotate on their bearings.

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Page 6: Conveyor Design Calc

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37

Conveyor Height Calculator

Inclined conveyor length (m) 0Angle of inclination (degrees) 0Material lift height (m) 0.0

© Copyright - Rulmeca Group

www.rulmecacorp.comwww.rulmeca.com

Return to Specifier Sheet

Page 7: Conveyor Design Calc

document.xls, Terminology, Page 7 of 8 04/08/2023 05:22:47

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37Bulk Handling Belt Conveyor Terminology

© Copyright - Rulmeca Group

Conveyor ProfileInitial Velocity of Material

Conveyor Cross Section in Skirt Zone

Belt Conveyor with Tripper

Hopper Feeder Conveyor

Cleated Belt with Sidewalls

Belt Conveyor with Two Diverter(s)

"CEMA" Idler Type Definitions(Based on Conveyor Equipment Manufacurters Association Manual)

Belt Width Idler Load Ratings* (kg)Idler Type > A B C D EIdler (deg) > 20 35 45 20 35 45 20 35 45 20 35 45 20 35 45

460 136 136 136 186 186 186 408 408 408 - - - - - -610 136 136 131 186 186 186 408 408 408 544 544 544 816 816 816760 136 127 122 186 186 186 408 408 408 544 544 544 816 816 816915 125 116 112 186 186 180 408 380 367 544 544 544 816 816 8161070 - - - 177 165 159 386 359 347 544 544 544 816 816 8161220 - - - 172 160 155 363 337 327 544 544 544 816 816 8161370 - - - - - - 340 317 306 544 506 490 816 816 8161525 - - - - - - 318 295 286 522 485 469 816 816 8161830 - - - - - - - - - 476 443 429 816 816 8162130 - - - - - - - - - - - - 816 759 7352440 - - - - - - - - - - - - 794 738 714

*These ratings are for three-equal-roll idlers and are based on a 30,000 hour minimum

BU bearing life at 500 RPM. BU bearing life represents the statistical point in hours where

a minimum of 90% of the bearings will still be functional with no increase in torque or noise.

Material Surcharge Angle Guide(Based on Conveyor Equipment Manufacurters Association Manual)

Description of Material

5 0 to 19

10 20 to 29 Rounded, dry polished particles, of medium weight, such as whole grain and beans.

20 30 to 34

25 35 to 39 Typical common materials such as bituminous coal, stone, and most ores.

30 40+

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Return to Trajectory Sheet

Surcharge Angle

Angle of Repose

Uniform size, very small rounded particles, either very wet or very dry; such as dry silica sand, cement, and wet concrete.

Irregular, granular or lumpy materials of medium weight, such as anthracite coal, cottonseed meal, and clay.

Irregular, stringy, fibrous, interlocking material, such as wood chips, bagasse, and tempered foundry sand.

Page 8: Conveyor Design Calc

document.xls, Page 8 of 8 04/08/2023 05:22:47

Rulmeca Motorized Pulley Power Calculation Program - Metric Version 5.37Bulk Handling Trajectory Calculator and Plotter

0

0

0

0 0 © Copyright - Rulmeca Group Phone Fax

Project Name 0

Conveyor Ref. 0

System Design Parameters: Belt Width (mm)

Belt Width 1000 mm

Troughing Idler Angle 35° Pulley Lagged Diameter (mm)

Diameter Pulley (mm) 516 mm Lagging Thickness (mm)

Lagging Thickness (MM) 8 mm

Belt Speed 2.58 m/s Actual Belt Speed (m/s)

25 deg.

Tonnage Rate (MTPH) 700

1,760

Belt Thickness (mm) 8

Distance to Chute Plate (mm) 700

Angle of Conv. Inclination (deg) 0 Surcharge angle (deg) Alternate Belt Speed (m/s) 1.4 Tonnage Rate (metric tph)=

Belt Speed (fpm)Material Density (kg/cu m)=

Area A (sq ft)

0

Calculated Results: Pulley Diam Lagged (in) Calc'd mat'l height at centerline 113 mm Pulley radius Lagged (in) Calc'd actual height of C.O.G.* 46 mm Belt Thickness (in) Calc'd actual mat'l cross section 4.3 sq m Radius to Belt Top (in) CEMA Max Allow. height at center 198 mm

CEMA Max Height of C.O.G.* 79 mm

CEMA Max Allow. cross section 13.7 sq m

Note:

This program uses actual C.O.G.* height above

top of belt (based on actual cross section) to plot

trajectory. Height of C.O.G. for CEMA

max. allow. cross section is given for ref. only.

(based on CEMA 5th Edition)

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Surcharge Angle (degrees)

Material Density (Kg/m3)

Go to Large Pulley Sheet Design Trajectory - solid red line; Alternate speed - dotted blue.

Go to Overview Sheet

Design Cross Section - dotted red line; CEMA max allow. - solid black line.

*C.O.G. = center of gravity of material, shown as ∆ and ∆

Mat'l Cross Section at Pulley Face:Small Pulley (scale: 75 mm/increment)

Material Trajectory:Small Pulley (scale: 75 mm/increment)

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