Design Belt Convoyer

7/24/2019 Design Belt Convoyer

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B-22-1- PE0101_Note de Calcul Mécanique Convoyeur CL10_MEC32201_00_20151110_en cours

Belt Design Summary

65,18 Required Motor Power Necessary to transmit to the belt

OK Check of Motor Power

7 215 Minimum Required Counterweight

0,488 Belt Slipping Coefficient

OK Check of Counterweight

OK Check of Belt Slipping

7 215 Start-up Minimum Required Counterweight

0,534 Start-up Belt Slipping Coefficient

OK Check of Counterweight @ Start-up

OK Check of Belt Slipping @ Start-up

183 Maximum Belt Elongation

389 Minimum Required Tensile Strength

OK Check of Belt Elongation Length

OK Check of Belt Tensile Strength

200 Start-up Maximum Belt Elongation

298 Start-up Minimum Required Tensile Strength

OK Check of Belt Elongation Length @ Start-up

OK Check of Belt Tensile Strength @ Start-up

Working Condition

Handled Material DefinitionPhosphate

Brut<-Material Designation

35 <- : Material Angle of Repose (Deg)

15 <-q: Material Surcharge Angle (Deg)

1200 <-r: Material Density (kg/m3)

9,81 <-g: Standard Gravity Acceleration (m/s²)Belt Definition

3600 <-Q: Maximum Belt Design Capacity (Ton/h)

3,8 <-v: Belt Speed (Tab.4&5&6) (m/s)

1400 <-B: Belt Width (mm)

EP630/4 <-Carcass Style

630 <-Wu: Belt Resistance at Break (N/mm)

4- CALCUL DE LA PUISSANCE DU MOTEUR

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MEA EXPANSION

Alimentation de la 7ème ligne

Note de Calcul Mécanique Convoyeur CL10

Standard

Medium Weight and Lump Size Material

P ≥ Pm

Fvmin (daN)

r

Fv ≥ Fvmin

Pm (kW)

FvminS (daN)

r S

Fv ≥ FvminS

r S ≤ 1

d

≥ 2dmax

r ≤ 1

dmax (mm)

CRm (N/mm)

Wu ≥ CRm

dmaxS (mm)

CRmS (N/mm)

d ≥ 2 dmaxS

Wu ≥ CRmS





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1 <-z: Maximum Belt Elongation During Service (Load = 10% of Belt Resistance at Break) (%)

10 <-f s: Belt Required Safety Factor 7 <-f ss: Belt Required Safety Factor at Starting

6 <-ttc: Top Cover Thickness (mm)

4 <-tbc: Bottom Cover Thickness (mm)

5,4 <-rr : Rubber Average Weight (kg/[m²xmm])

1,5 <-S1: Maximum Sag Along the Carrying Section (%)

1,5 <-S2: Maximum Sag Along the Return Section (%)

29,566 <-L: Belt Length Center-To-Center (m)

5,5 <-d: Maximum Belt Inclination (Deg)

Idlers Definition

159 <-dc: Carrying Idlers Diameter (mm)

Tern <-Carrying Idlers Type35 <-l: Idlers Inclination Angle (Deg)

159 <-dr : Return Idlers Diameter (mm)

Plain <-Return Idlers Type

1,25 <-ac: Distance Between Carrying Idler (Tab.12) (m)

3 <-ar : Distance Between Return Idler (Tab.12) (m)

Upper Flight Definition

4 <-Nu: Upper Flight Number

No. PulleyQu,n

(Ton/h)Lu,n (m) Hu,n (m)

bu,n

(Deg)Ncu,n Nru,n

1 D1 3600 2,715 0,261 5,50 2,00 0,00

2 NA 3600 23,64 2,276 5,50 19,00 0,00

3 NA 3600 1,792 0,173 5,50 7,00 0,00

4 D2 0 1,289 0,124 5,50 0,00 0,00

5

6

7

8

9

10

11

12

13

14

15

16 <-Qu,n: Flight Capacity (Ton/h)

17 <-Lu,n: Flight Length (m)

18 <-Hu,n: Flight Height (m)

19 <-bu,n: Flight Slop (Deg)

20 <-Ncu,n: Carrying Idler Number Per Flight

21 <-Nru,n: Return Idler Number Per Flight

22

23

24

2526

27

28

29

30





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Lower Flight Definition

2 <-Nl: Lower Flight Number

No. PulleyQl,n

(Ton/h)Ll,n (m) Hl,n (m)

bl,n

(Deg)Ncl,n Nrl,n

1 D5 0 0,8 0,000 0,00 0,00 0,00

2 NA 0 28,636 -2,757 -5,50 0,00 9,00

3

4

5

6

7

8

910

11

12

13

14

15

16

17

18

19

20

2122

23

24

25

26

27

28

29

30

<-Ql,n: Flight Capacity (Ton/h)

<-Ll,n: Flight Length (m)

<-Hl,n: Flight Height (m)

<-bl,n: Flight Slop (Deg)

<-Ncl,n: Carrying Idler Number Per Flight

<-Nrl,n: Return Idler Number Per Flight

Pulley & Motor Definition

75 <-P: Installed Motor Power (kW)

420 <-d: Counterweight Elongation Course (mm)

7 300 <-Fv: Counterweight Value (daN)

180 <-j: Belt to Drive Pulley Contact Angle (Deg)

0,35 <-m: Friction Coefficient Between Belt & Pulley (Tab.10)

1,3 <-w: Starting Motor Coefficient0,88 <-h: Mechanical Efficiency Coefficient for the Transmission (Tab.8)

Type 1 <-Type of Belt Conveyor

Type 1: If Counter weight at Tail Position

Type 2: If Counter weight Near Drive System

j

T1

T2





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Empty Belt & Idlers Weight Computation

5,4 <-qbc: Belt Carcass Weight for square Meter (Tab.13) (kg/m²)59,4 <-q: Belt Weight per square Meter (kg/m²)

44,3 <-qc: Carrying Idler Unit Weight (Tab.11) (kg)

33,4 <-qr : Return Idler Unit Weight (Tab.11) (kg)

Friction & Length Coefficient

2,66302 <-C: Length Coefficient (Graph.2)

0,022 <-f : Idlers Friction Coefficient (Tab. 9)

bc r tc bcq q t t r





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Forces Necessary for Movement of Belt

No.F1u,n

(kg)

F2u,n

(kg)

F3u,n

(kg)

F1l,n

(kg)

F2l,n

(kg)

F3l,n

(kg)

1 18,418 41,858 90,536 3,8976 0 0

2 164,49 364,47 788,31 157,13 0 -229,3

3 26,898 27,628 59,757 0 0 0

4 6,2801 0 10,322 0 0 0

5 0 0 0 0 0 0

6 0 0 0 0 0 07 0 0 0 0 0 0

8 0 0 0 0 0 0

9 0 0 0 0 0 0

10 0 0 0 0 0 0

11 0 0 0 0 0 0

12 0 0 0 0 0 0

13 0 0 0 0 0 0

14 0 0 0 0 0 0

15 0 0 0 0 0 0

16 0 0 0 0 0 0

17 0 0 0 0 0 0

18 0 0 0 0 0 019 0 0 0 0 0 0

20 0 0 0 0 0 0

21 0 0 0 0 0 0

22 0 0 0 0 0 0

23 0 0 0 0 0 0

24 0 0 0 0 0 0

25 0 0 0 0 0 0

26 0 0 0 0 0 0

27 0 0 0 0 0 0

28 0 0 0 0 0 0

29 0 0 0 0 0 0

30 0 0 0 0 0 0

<-F1,n: Flight Forces Necessary for Movement of Empty Belt & Carrying Idlers (kg)

<-F2,n: Flight Forces Necessary for Translation of the Load (kg)

<-F3,n: Flight Forces Necessary for the Elevation of the Load (kg)

377 <-F1: Forces Necessary for Movement of Empty Belt & Carrying Idlers (kg)

434 <-F2: Forces Necessary for Translation of the Load (kg)

720 <-F3: Forces Necessary for the Elevation of the Load (kg)

-68 <-Ft,L: Tail Losses Between Take Up & Drive Pulley (kg)

Upper Flight Lower Flight

1, , ,1000

n n c c n r r n

B F Cf L q q N q N

2,

3.6

nn n

Q F CfL

v

3,3.6 1000

n nn n

Q H B F q H

v





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Total Force and Motor Power Calculation

1 531 <-Fmin: Total Periphery Force Necessary to transmit to the belt (kg)

57,06 <-Pa: Theorical Motor Power Necessary to transmit to the belt (kW)

65,18 <-Pm: Required Motor Power Necessary to transmit to the belt (kW)

P ≥ Pm OK

Tension Calculation (During Operation)1 728 <-F: Installed Periphery Force (daN)

0,499 <-K: Friction Factor

2 590 <-Tu,1n: Nominal Tight Side Tension (daN)

863 <-Tl,1n: Nominal Slack Side Tension (daN)

794 <-Tv1: Minimum Tension to Allow the Motion Transmission (daN)

3 607 <-Tsup: Minimum Tension For Max Sag of Carrying Idler (daN)

2 079 <-Tinf : Minimum Tension For Max Sag of Return Idler (daN)

7 215 <-Fvmin: Minimum Required Counterweight (daN)

2 856 <-Tv: Take-Up Over tension (daN)

5 446 <-Tu,1: Maximum Tight Side Tension (daN)

3 718 <-Tl,1: Maximum Slack Side Tension (daN)

min 1 2 3 F F F F

mina P gF v

a

m

P P

h

1

1 K

emj

,1 1

u nT F K

,1l nT FK

1 ,1 ,v l n t LT T F

sup

18 1000 3.6

ca qB QT

S v

inf

28 1000

r a qBT S

min 1 sup inf 2 ; ;v v

F Max T T T

, ,12

v

v t L l n

F T F T

P F

v

h

,1 ,1u u n vT T T

,1 ,1l l n vT T T





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MEA EXPANSION



0,488 <-r : Belt Slipping Coefficient

Fv ≥ Fvmin OK

r ≤ 1 OK

Tension Calculation (During Start-up)

2 246 <-Fs: Installed Periphery Force at Starting (daN)

3 368 <-Tu,1nS: Start-up Nominal Tight Side Tension (daN)

1 121 <-Tl,1nS: Start-up Nominal Slack Side Tension (daN)

1 053 <-Tv1S: Start-up Minimum Tension to Allow the Motion Transmission (daN)

7 215 <-FvminS: Start-up Minimum Required Counterweight (daN)

2 597 <-TvS: Start-up Take-Up Over tension (daN)

5 964 <-Tu,1S: Start-up Maximum Tight Side Tension (daN)

3 718 <-Tl,1S: Start-up Maximum Slack Side Tension (daN)

0,534 <-r S: Start-up Belt Slipping Coefficient

Fv ≥ FvminS OK

r S ≤ 1 OK

,1

,1

u

l

T r

T emj

s

w P F

v

h

,1 1

u nS sT F K

,1l nS sT F K

1 ,1 ,v S l nS t LT T F

min 1 sup inf 2 ; ;v S v S

F Max T T T

, ,12

v

vS t L l nS

F T F T

,1 ,1u S u nS vS T T T

,1 ,1l S l nS vS T T T

,1

,1

u S

S

l S

T r

T emj





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MEA EXPANSION



Belt Tensile Strength Check (Operation Case)

No.

Tu,n

(kg)

Tu,n

(kg)

Tl,n

(kg)

Tl,n

(kg)1 151 5 446 4 3 718

2 1 317 5295,3 -72 3722,2

3 114 3978 0 3650

4 17 3863,7 0 0

5 0 3847,1 0 0

6 0 0 0 0

7 0 0 0 0

8 0 0 0 0 Notes

9 0 0 0 0 Tension will be Regulated via Material

10 0 0 0 0 Trampling Losses Addition

11 0 0 0 0 The Tension in Pulley Remains inchanged

12 0 0 0 013 0 0 0 0

14 0 0 0 0

15 0 0 0 0

16 0 0 0 0

17 0 0 0 0

18 0 0 0 0

19 0 0 0 0

20 0 0 0 0

21 0 0 0 0

22 0 0 0 0

23 0 0 0 0

24 0 0 0 025 0 0 0 0

26 0 0 0 0

27 0 0 0 0

28 0 0 0 0

29 0 0 0 0

30 0 0 0 0

31 0 0

5 446 <-Tmax: Maximum Belt Tension (daN)

183 <-dmax: Maximum Belt Elongation (mm)

389 <-CRm: Minimum Required Tensile Strength (N/mm)


max

m s

T CR f

B

, 1 , 2 , 3 ,u n u n u n u nT F F F D

, 1 , 2 , 3 ,l n l n l n l nT F F F D

, 1 , ,u n u n u nT T T

D

, 1 , ,l n l n l nT T T

D

maxmax

10T

L B Wu

d





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d

≥ 2dmax OK

Wu ≥ CRm OK

Belt Tensile Strength Check (Start-up Case)

No. Pulley

Tu,n

(kg)

Tu,nS

(kg)Pulley

Tl,n

(kg)

Tl,nS

(kg)

1 D1 151 5 964 D5 4 3 718

2 NA 1 317 5813,6 NA -72 3722,2

3 NA 114 4496,3 0 0 3650

4 D2 17 4382,1 0 0 0

5 0 0 4365,5 0 0 0

6 0 0 0 0 0 0

7 0 0 0 0 0 0

8 0 0 0 0 0 0 Notes

9 0 0 0 0 0 0 Tension will be Regulated via Material

10 0 0 0 0 0 0 Trampling Losses Addition

11 0 0 0 0 0 0 The Tension in Pulley Remains inchanged

12 0 0 0 0 0 0

13 0 0 0 0 0 0

14 0 0 0 0 0 0

15 0 0 0 0 0 0

16 0 0 0 0 0 0

17 0 0 0 0 0 0

18 0 0 0 0 0 0

19 0 0 0 0 0 0

20 0 0 0 0 0 021 0 0 0 0 0 0

22 0 0 0 0 0 0

23 0 0 0 0 0 0

24 0 0 0 0 0 0

25 0 0 0 0 0 0

26 0 0 0 0 0 0

27 0 0 0 0 0 0

28 0 0 0 0 0 0

29 0 0 0 0 0 0

30 0 0 0 0 0 0

31 0 0

5 964 <-TmaxS: Start-up Maximum Belt Tension (daN)

200 <-dmaxS: Start-up Maximum Belt Elongation (mm)


, 1 , 2 , 3 ,u n u n u n u nT F F F D

, 1 , 2 , 3 ,l n l n l n l nT F F F D

, 1 , ,u n S u nS u nT T T

D

, 1 , ,l n S l nS l nT T T

D

max

max

10S

S

T L

B Wud





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MEA EXPANSION



298 <-CRmS: Start-up Minimum Required Tensile Strength (N/mm)

d

≥ 2 dmaxS OK

Wu ≥ CRmS OK

Pulleys Tensions

No.Zx

(kg)

Zs

(kg)

1 5 964 3 718

2 4 382

3 NA

4 NA

5 NA

6 3 718D5

Designation

D1

D2

D3

D4-1

D4-2

maxS mS ss

T CR f B

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Design Belt Convoyer