Required length of roller chain
Employing the center distance between the sprocket shafts and also the quantity of teeth of each sprockets, the chain length (pitch number) may be obtained through the following formula:
Lp＝（N1 ＋ N2）/2＋ 2Cp＋｛（ N2－N1 ）／2π｝2
Lp : Total length of chain (Pitch quantity)
N1 : Quantity of teeth of smaller sprocket
N2 : Quantity of teeth of massive sprocket
Cp: Center distance in between two sprocket shafts (Chain pitch)
The Lp (pitch amount) obtained from the over formula hardly becomes an integer, and generally includes a decimal fraction. Round up the decimal to an integer. Use an offset hyperlink when the amount is odd, but choose an even amount around attainable.
When Lp is established, re-calculate the center distance between the driving shaft and driven shaft as described inside the following paragraph. In case the sprocket center distance can not be altered, tighten the chain working with an idler or chain tightener .
Center distance in between driving and driven shafts
Obviously, the center distance amongst the driving and driven shafts need to be much more than the sum with the radius of 
the two sprockets, but on the whole, a appropriate sprocket center distance is regarded as to become 30 to 50 occasions the chain pitch. However, when the load is pulsating, 20 occasions or less is proper. The take-up angle among the little sprocket and also the chain must be 120°or far more. When the roller chain length Lp is provided, the center distance involving the sprockets could be obtained from the following formula:
Cp＝１/4Lp－(N1＋N2)/2+√(Lp－(N1＋N2)/2)^2－2/π2（N2－N1）^2
Cp : Sprocket center distance (pitch quantity)
Lp : Overall length of chain (pitch quantity)
N1 : Variety of teeth of tiny sprocket
N2 : Quantity of teeth of large sprocket
Chain Length and Sprocket Center Distance
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