pdf_BeltConveyorsCalculationsDIN22101_eng.pdf

Conveyors www.kmg.agh.edu.pl

Department of Mining, Dressing and Transport Machines AGH AGH

Belt Conveyors Calculations Piotr Kulinowski, Ph. D. Eng. Piotr Kasza, Ph. D. Eng. [email protected] 12617 30 92 B-2 ground-floor room 6 consultations: Mondays Mondays 11.00 - 12.00 ©

[email protected], [email protected]

Department of Mining, Dressing and Transport Machines AGH

tel/fax +48126335162

DIN 22101 www.kmg.agh.edu.pl

Stationary work(v=const) → Pu = W C v

Pu

v

P

m

mgsinδ

mgcosδ

δ

mg

P  W    m  g  cos δ  m  g  sin δ Friction Force

Belt conveyor: μ→f ©

m → mi


Gravity Force

Pu  WC  f   mi  g  cos δ   mi  g  sin δ Department of Mining, Dressing and Transport Machines AGH

[N] [N]

tel/fax +48126335162

1

Length related mass of moving parts www.kmg.agh.edu.pl



Length related mass of the material handled :  ml 



Q 3.6  v

Length related mass of the rotating parts of t he idlers in a conveyor section : ' k

m  

m'zkg lkg



m'zkd lkd

[kg/m]

Length related mass of conveyor belt : mt 

©

 Q     St ml  j 3.6  v

or


B 1000

 mtj

[kg/m]


tel/fax +48126335162

Theoretical volume flow Q j (in m3/h) (v = 1 m/s) www.kmg.agh.edu.pl

©



tel/fax +48126335162

2

Motional Resistances www.kmg.agh.edu.pl

1. rolling resistances of the idlers 2. flexing resistance of the belt 3. flexing resistances of the bulk material

WG - Primary Resistances

4. acceleration resistance and frictional resistance between material handled and belt 5. chute frictional resistance

WS - Secondary Resistances

6. scraper resistance 7. deflection resistance due to belt bending

WH - Gradient Resistance

8. gradient resistance of conveyed material

©



tel/fax +48126335162

Friction value f for top and bottom run together www.kmg.agh.edu.pl

Note: Higher safety in the design of the drive units is achieved – with motor-operated drive units by selecting a higher f value, – with generator-induced operation of the drive units by selecting a smaller f value. ©



tel/fax +48126335162

3

Secondary Resistances - Coefficient C(L) www.kmg.agh.edu.pl

The total secondary resistances FN result from the sum of locally limited motional resistances in the top run and return run, particularly at the head and tail of a belt conveyor system: Bulk material feed • acceleration resistance and frictional resistance

C(L) Wsp. długości C 2,0 1,9

between material handled and belt • chute frictional resistance

1,8

Belt cleaner • scraper resistance

1,6

1,7

1,5

Pulleys (not driven) • deflection resistance due to belt bending

1,4 1,3

• resistance of the pulley bearings

1,2 1,1 1,05 1,03 1,0 80 100

200 300

500

1000

2000

5000

Długość przenośnika L [m] Conveying length[m] ©



tel/fax +48126335162

Motional Resistances www.kmg.agh.edu.pl

WC  WG  WS  WH  WD Total primary resistances :

WG  f  L  mk'  2  mt  ml'   cos δ  g

[N]

Total secondary resistances.

WS  C  1  WG

[N]

Total gradient resistances :

WH  H  ml'  g

[N]

' Wg  C  f g  L  mkg  mt  ml'   cos δ  g  H  mt  ml'   g

'  mt  cos δ  g  H  mt  g Wd  C  f d  L  mkd

©



[N]

[N] tel/fax +48126335162

4

Power Required www.kmg.agh.edu.pl







WC - total of the motional resistances in top run/return run in a steady state operation v - belt speed N - total as a result of loading conditions in a steady operating state of necessary power at the periphery of the driving pulley

N NC 

N 

WC 1000 or

η (motor operated drive)

[kW] NC  N  η

napęd wielobębnowy η+

Elektrobęben

0,96

Electromechanical

0,94

0,92

0,9

0,85

0,86

0,80

Electromechanical + Hydrodynamic Coupling Hydraulic [email protected], [email protected]

[kW]

(generator operated drive)

napęd jednobębnowy η+

Rodzaj napędu

©

v

napęd hamujący η-

0,95 ÷ 1,0


tel/fax +48126335162

Tension calculations www.kmg.agh.edu.pl

S2 

Wc  k p

4

1

e 1 S3  S2  Wd 

S 4  S3 S1  S4  Wg

3

2

Tensions correction (belt sag) S max = MAX(S1; S2; S3; S4) [N] S1

5’

10 kN

S4

5

S2

S3 ©



tel/fax +48126335162

5

Sections pf belt conveyor www.kmg.agh.edu.pl

12 11

10

13

15

14

16

1

R R 4

9

©

7

8


2

3

5

6


tel/fax +48126335162

www.kmg.agh.edu.pl

S [kN] 500

i+1

400 300 200 100

v

0

Si+1

i Si WGSD

Si

1

©



Si



W GSD( i


 i 1 )

mzra WHnt

P

 W Hn( i i 1 ) 

W Ht ( i

 i 1 )




m zr ( i

 i 1 )



a  P ( i

 i 1 )

tel/fax +48126335162

6

Belt Type www.kmg.agh.edu.pl

– Coefficient of belt splicing

r p,

– Maximum belt tension – stationary work

Smax,

– Safety factor – stationary work

KN 

Carcass

B – cotton P – poliamid E – poliester

Splicing

©

u Smax [kN/m]  1  r p B Coefficientr p

Cold Vulcanisation

1/z

Hot Vulcanisation

0

Cold Vulcanisation – 1 ply Mechanical Splice

St – steel

u,

0,3 > 0.4

2

0

3

0,5(n - 2)


Carcass

Work conditions

Cotton, Poliamid, Poliester, Steel


Stationary work u

good

6,7

average

8,0

poor

9,5

tel/fax +48126335162

Guide Values for Top and Bottom Cover Gauges for Textile Carcass and Steel Cord Conveyor Belts for different Uses (in mm) www.kmg.agh.edu.pl

©



tel/fax +48126335162

7

Minimum Pulley Diameters www.kmg.agh.edu.pl

©



tel/fax +48126335162


tel/fax +48126335162

www.kmg.agh.edu.pl

©


8

Bibliography www.kmg.agh.edu.pl







©

Continuous handling equipment – Nomenclature, ISO 2148-1974 Kulinowski, wykłady „Transport przenośnikowy”, www.kmg.agh.edu.pl Phoenix Conveyor Belts Design Fundamentals



tel/fax +48126335162

9

pdf_BeltConveyorsCalculationsDIN22101_eng.pdf

Recommend Documents