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- Home  - Chains  O Chain sizing

PROFILEX Chain sizing - according to the maximum allowable working load method

Chain sizing consists of a compaison between the chain tension at headshaft, which a chain is subject to, and the maximum allowable working load of the chain itself. the following formulas allow an evaluation of the chain tension at headshaft as a function of the different load conditions.

Symbols  
Ft - Chain tension at headshaft (N)
F0 - Chain tension on return track (N)
F1, F2 ,... - Sum of all loads (N)
Wc - Chaim weight (kg/m)
Wm - Conveyed product weight (kg/m)
L - Horizontal conveyor length (metres)
L1, L2,... - Conveyor track length (metres)
H - Vertical conveyor elevation (metres)
LS - Conveyor length of the section where accumulation occurs (metres)
L1S, L2S,... - Conveyor length of the section where accumulation occurs (metres)
R - Curve radius (metres)
α - Bending angel (degrees)
K - Length factor (table D)
T - Curve factor (table E)
f1 - Friction factor between chain and wear strips (table A)
f2 - Friction factor between chain and conveyed products (table A)
fp - Start up factor (table B)
S - Slippage factor (table C)
9,81 - Graviti acceleracion (m/s2)

A f1 f2
Friction factor between chain and wear strips Friction factor between chain and conveyed products
Lubrication used Steel Hight density polyeth. and nylatron Cardboard, Plastic Metal Glass, Ceramic
Dry 0,50 0,20 0,30 0,45 0,45
Water 0,40 0,15 0,25 0,40 0,40
Soapy water 0,20 0,12 0,15 0,20 0,25
Oil 0,20 0,08 - 0,15 0,20

B Start up factor
Start ups per hour fp
0 1,0
5 1,4
10 1,7
15 1,8
20 1,9
25 2,0

C Slippage factor
Slippage time percentage S
0 0
10 0,5
20 0,7
30 0,8
40 0,9
50 > 1,0

D K T
Length factor Curve factor
Stainless steel chain
Bending angle Steel wear strips High density polyeth. and nylatron wear strips
degrees α Dry Lubricated Dry Lubricated
15 0,25 1,20 1,05 1,10 1,05
30 0,52 1,30 1,10 1,20 1,10
45 0,79 1,40 1,20 1,30 1,20
60 1,05 1,60 1,30 1,50 1,25
90 1,57 2,00 1,50 1,80 1,35
120 2,09 2,50 1,70 2,20 1,50
150 2,62 3,10 1,90 2,70 1,75
180 3,14 3,50 2,10 3,00 1,90

Conveyors with straighr running chains


Without accumulation
Ft = (2Wc + Wm) x L x f1 x fp x 9,81
With accumulation
Ft = [(2Wc + Wm) x L x f1 x fp +Ls x Wm x f2 x S] x 9,81
Without accumulation
Ft = [(2WC+ Wm) x L x f1 x fp +( Wc H- Wm) x H] x 9,81
With accumulation
Ft = [(2Wc+Wm) x L x f1x fp + (Wc + Wm ) x H +
+ Lsx Wm x f2 x S] x 9,81

Conveyors with sideflexing chains

In this case the calculation of the chain tension at headshaft is carried out as the sum of successive loads (fig. 1):

L2 = K (a2) x R2

L4 = K (a4) x R4

1 - Return run

The evaluation of the chain tension in the return run is carried out by starting at the driven sprocket following the movement of the chain itself up to the return sprocket(fig. 2):

Track FE:  F5 = Wc x L5 x f1

Track FD:  F4 = [F5 + Wc x L4 x f1 ] x T (a4)

Track FC:  F3 = F4 + Wc x L3 x f1

Track FB:  F2 = [F3 + Wcx L2 x f1] x T (a2)

Track FA:  F1 = F2 + Wcx L1 x f1

Written in a more explicit manner:

F0 = {[(L5 + L4) x Wc x f 1 x T (a4) + (L3 + L2) x Wc x f1] x T(a2) + L1 x Wc x f1} x fp x 9,81

2 - Drive run

• Chain tension at headshaft without accumulation •

The evaluation of the chain tension in the conveying run is carried out by starting from the return sprocket following the movement of the chain itself up to the drive sprocket (fig. 3):

Track AB:
F1 = F0 + (Wc + Wm) x L1 x f1 + f1 x 9,81

Track AC:
F2 = [F1 + (Wc + Wm) x L2 x f1+ fp x 9,81] x T (a2)

Track AD:
F3 = F2 + (Wc + Wm) x L3 x f1 + f1 x 9,81

Track AE:
F4 = [F3 + (Wc + Wm) x L4 x f1 + fp x 9,81] x T (a4)

Track AF:
F5 = F4 + (Wc + Wm) x L5 x f1 + fp x 9,81

• Chain tension at headshaft with accumulation •

The component of the chain tension at headshaft due to the accumulation of material conveyed is evaluated by starting from the return sprocket towards the drive sprocket, for the only track involved by the accumulation (fig. 3). In this case the total chain tension at headshaft is given by the sum of the component without accumulation plus the one due to the accumulation of the material:

Track AB:  F1 = F0 + [(Wc + W m) x L1 x f1 x fp + L1s x Wm x f2 x S] x 9,81

Track AC:  F2 = {F1 + [(Wc + Wm) x L2 x f1 x fp + L2s x Wm x f2 x S] x 9,81} x T (a2)

Track AD:  F3 = F2 + [(Wc + Wm) x L3 x f1 x fp + L3s x Wm x f2 x S] x 9,81

Track AE:  F4 = {F3 + [(Wc + Wm) x L4 x f1 x fp + L4s x Wm x f2 x S] x 9,81} x T (a4)

Track AF:  F5 = F4 + [(Wc + Wm) x L5 x f1x fp + L5s x Wm x f2 x S] x 9,81
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