20-4. Calculation formula of tension acting on the chain
( Application example)
20-4. Calculation formula of tension acting on the chain
(Application example)
Symbol description and unit
Static tension acting on the chain[kgf]
T
1
=M*L
1
*f
1
[kgf]
T
1
=
T
2
=T
1
*Kc
1
[kgf]
T
2
=
T
3
=M*(L
2
*f
1
-H)+T
2
[kgf]
T
3
=
T
4
=T
3
*Kc
2
[kgf]
T
3
＜0 When T
4
=0
T
4
=
T
5
=M*L
3
*f
1
[kgf]
T
5
=
T
6
=1.1*T
5
[kgf]
T
6
=
T
7
=M*W*f*L
4
+T
6
[kgf]
T
7
=
T
8
=T
7
*Kc
3
[kgf]
T
8
=
T
9
=W*(L
5
*f+H)+M*(L
5
*f
1
+H)+T
8
[kgf]
T
9
=
T
10
=T
9
*Kc
4
[kgf]
T
10
=
T
MAX
=M*L
6
*f
1
+W*f*L
6
+T
10
[kgf]
T
MAX
=
T
MAX
：Maximum static tension acting on the chain [kgf]
M：Weight of movable transport unit (chain * number of rows)、Weight of buckets, aprons, etc.） [kgf/m]
L
1
： Sprocket center distance 1( horizontal direction)[m]
f
1
： Coefficient of friction between chain and guide rail
Kc
1
： Corner coefficient 1
L
2
： Sprocket center distance 2( horizontal direction) [m]
H： Sprocket center distance( Vertical direction) [m]
Kc
2
：Corner coefficient 2
L
3
：Sprocket center distance 3 ( horizontal direction) [m]
W： Weight per unit length of goods to be transported [kgf/m]
f： Coefficient of friction against the transported object
(When not accumulating 、f=f
1
Friction between chain and guide rail coefficient
When accumulating、 Transport and bottom plate、Coefficient of friction with side plate)
L
4
：Sprocket center distance 4( horizontal direction)[m]
Kc
3
： Corner coefficient 3
L
5
： Sprocket center distance 5( horizontal direction)[m]
Kc
4
： Corner coefficient 4
L
6
： Sprocket center distance 6( horizontal direction)[m]
Calculation of required power of drive motor
kW=T
MAX
*V*α/(102*60*η)
kW=
T
MAX
：Maximum static tension acting on the chain[kgf]
V： Transport speed( Chain speed)[m/min]
α： Motor safety factor
η： Machine transmission efficiency of the drive unit
Calculation of drive motor reduction ratio
K=Z
1
*P*Z
2
/Z
3
*R/V/1000
K=
(K: Motor reduction ratio)
V： Transport speed( Chain speed) [m/min]
Z
1
： Number of teeth on conveyor chain sprocket
Z
2
:Number of teeth on the drive shaft sprocket
Z
3
:Number of teeth on the motor shaft sprocket
R: Synchronous rotation speed of the motor
60Hz：1800 RPM
50Hz：1500 RPM
P: Chain pitch[mm]
Chain tension and motor power calculation explanatory diagram
Motor reduction ratio calculation explanatory diagram