The idlers are an important part of a belt conveyor system; they provide stability to the conveyed materials. There are mainly three types of idles used in the industry namely, flat idlers, trough idlers, and garland idlers. In this article we will discuss only the flat type belt conveyor idler design.
The Rational Method for Estimation ...
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The Rational Method for Estimation of Design Surface Runoff Rate for Storm Water ControlTypically, the following inputs are used for starting up the design process of the flat idler:
The output aims from the design process are:
The following design equations are used across the industry for calculating the different design parameters of the flat idlers:
S = (8*T1*H)/ (mb+ml)*g…………..1.1
Where,
S is in meters
T1= Belt tension near the idlers as shown in the picture (N)
H=Belt sag (m)
mb = weight of the belt (kg/m)
ml =Weight of the conveyed material (kg/m)
g =Acceleration due to gravity
ml= (10*W)/ (36*V)…………1.2
Where,
mb is in kg/m.
W = Capacity of the conveyor (tons per hour)
V = Belt speed (m/sec)
N = (60*V)/ (Π*D)……………1.3
Where,
N is in RPM.
V = Belt speed (m/sec)
D = Diameter of the idlers
Loads on each idlers
Where,
F is in Newtons
g = Acceleration due to gravity
W = Capacity of the conveyor (tones per hour)
S = Spacing between the two idlers.
V = Belt speed (m/sec)
b= (8*F*L)/ (3*Π*D3)………………..1.5
Where,
b is in Newtons per square meter
F = loads on each idlers (Newton)
L = length of the idlers (Meter)
D = diameter of the idlers (meter)
Now, let’s see how to use the basic design equations for actual design purpose. We will take the following data as input:
Capacity of the conveyor W = 1000 t/h
Belt speed V =1.68 m/sec
Belt tension near idler T1=50000 N
Idler length L =1.2 m
Belt sag = 0.015 m
Weight of the belt mb=15 kg/m
Idler speed N= 50 rpm
Design procedure:
ml = (10*1000)/(36*1.68) = 165.34 kg/m
S=(8*50000*0.015)/(15+165.34)*9.81 = 3.391 m
D= (60*1.68)/ (3.14*50) = 0.64 m
F=(10*1000*3.391*9.81)/(36*1.68)=5500 N
b= (8*5500*1.2)/ (3*3.14*0.643) = 21385.176 N/m2
If the maximum bending stress calculated from the above equations is higher than the accepted limit of the bending stress then, you have to reconsider the input assumed parameters, for example you may have to set the lower idler speed or you have to think of the lower belt sag value, so that idler spacing got reduced and so the load per idler.
There are three types of idlers used in the conveyor industry, out of which only the flat belt conveyor idler design calculations are discussed here theoretically. We have not used the factor of safety in the design calculations here, or in other words the factor of safety is considered as one through out the calculations. The theoretical calculations are ideal for the preliminary design. FEA tools like Ansys or Pro Mechanica should be used for the final virtual validation of the design.
References
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