Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ......

9
1 www.kmg.agh.edu.pl © [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162 Department of Mining, Dressing and Transport Machines 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 11.00 - 12.00 Conveyors www.kmg.agh.edu.pl © [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162 m δ mgcosδ mgsinδ mg P v DIN 22101 Stationary work(v=const) → P u = W C v P u Gravity Force Friction Force δ sin g m δ cos g m W P Belt conveyor: μ → f m → mi [N] δ sin g m δ cos g m f W P i i C u

Transcript of Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ......

Page 1: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

1

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Department of Mining, Dressing and Transport Machines 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 11.00 - 12.00

Conveyors

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

m

δ mgcosδ

mgsinδ

mg

P v

DIN 22101

Stationary work(v=const) → Pu = WC

v Pu

Gravity Force

Friction Force

δ singmδ cosgmWP

Belt conveyor:

μ → f m → mi [N] δ singmδ cosgmfWP iiCu

Page 2: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

2

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Length related mass of moving parts

Length related mass of the material handled :

or

Length related mass of the rotating parts of the idlers in a conveyor section :

Length related mass of conveyor belt :

v6.3

Qml

[kg/m] l

m

l

mm

kd

'

zkd

kg

'

zkg'

k

[kg/m] m1000

Bm tjt

v.

Qm

Stj

l

63

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Theoretical volume flow Qj (in m3/h) (v = 1 m/s)

Page 3: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

3

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Motional Resistances

1. rolling resistances of the idlers

2. flexing resistance of the belt

3. flexing resistances of the bulk material

4. acceleration resistance and frictional resistance

between material handled and belt

5. chute frictional resistance

6. scraper resistance

7. deflection resistance due to belt bending

8. gradient resistance of conveyed material

WS - Secondary Resistances

WH - Gradient Resistance

WG - Primary Resistances

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Friction value f for top and bottom run together

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.

Page 4: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

4

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Secondary Resistances - Coefficient C(L)

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

between material handled and belt

• chute frictional resistance

Belt cleaner

• scraper resistance

Pulleys (not driven)

• deflection resistance due to belt bending

• resistance of the pulley bearings

80 100 200 300 500 1000 2000 5000

1,01,031,05

1,1

1,2

1,3

1,4

1,5

1,6

1,7

1,8

1,9

2,0

Wsp. długości C

Długość przenośnika L [m]

C(L)

Conveying length[m]

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Motional Resistances

[N] gmmHgδ cosmmmLfCW '

lt

'

lt

'

kggg

[N] gmHgδ cosmmLfCW tt

'

kddd

DHSGC WWWWW

Total primary resistances :

[N] gδ cosmm2mLfW '

lt

'

kG

Total secondary resistances.

[N] W1CW GS

Total gradient resistances :

[N] gmHW '

lH

Page 5: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

5

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Power Required

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

[kW] v1000

WN C

[kW] ηNNor η

NN CC

Rodzaj napędu napęd jednobębnowy

η+

napęd wielobębnowy

η+

napęd hamujący

η-

Elektrobęben 0,96

Electromechanical 0,94 0,92

Electromechanical + Hydrodynamic

Coupling 0,9 0,85 0,95 ÷ 1,0

Hydraulic 0,86 0,80

(generator operated drive) (motor operated drive)

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Tension calculations

1e

kWS

pc

2

d23 WSS

34 SS

g41 WSS

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

S1

S2

S4

S3

10 kN

5

5’

1

2

4

3

Page 6: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

6

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Sections pf belt conveyor

1

2

R R

3 4

5 6 9 7

10

8

11

12 13 14 15 16

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Si

i+1

i Si+1

P

WGSD

WHnt mzra

S [kN]

100

200

300

400

500

0 v

)ii()ii(zr)ii(Ht)ii(Hn)ii(GSDii PamWWWSS 111111

Page 7: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

7

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Belt Type

– Coefficient of belt splicing rp,

– Maximum belt tension – stationary work Smax,

– Safety factor – stationary work u,

[kN/m] B

S

r1K max

p

uN

Carcass Splicing Coefficientrp

B – cotton

P – poliamid

E – poliester

Cold Vulcanisation 1/z

Hot Vulcanisation 0

Cold Vulcanisation – 1 ply 0,3

Mechanical Splice > 0.4

St – steel 2 0

3 0,5(n - 2)

Carcass Work

conditions

Stationary work

u

Cotton,

Poliamid, Poliester,

Steel

good 6,7

average 8,0

poor 9,5

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Guide Values for Top and Bottom Cover Gauges for Textile Carcass and Steel Cord Conveyor Belts for different Uses (in mm)

Page 8: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

8

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Minimum Pulley Diameters

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Page 9: Belt Conveyors Calculations - kmg.agh.edu.pl · PDF fileBelt Conveyors Calculations Piotr ... Length related mass of the rotating parts of the idlers in a conveyor section : ... 6.

9

www.kmg.agh.edu.pl

© [email protected], [email protected] Department of Mining, Dressing and Transport Machines AGH tel/fax +48126335162

Bibliography

Continuous handling equipment – Nomenclature, ISO 2148-1974

Kulinowski, wykłady „Transport przenośnikowy”,

www.kmg.agh.edu.pl

Phoenix Conveyor Belts Design Fundamentals