Expected length of roller chain
Using the center distance between the sprocket shafts plus the amount of teeth of each sprockets, the chain length (pitch quantity) is usually obtained from the following formula:
Lp＝（N1 ＋ N2）/2＋ 2Cp＋｛（ N2－N1 ）／2π｝2
Lp : General length of chain (Pitch variety)
N1 : Quantity of teeth of compact sprocket
N2 : Quantity of teeth of substantial sprocket
Cp: Center distance in between two sprocket shafts (Chain pitch)
The Lp (pitch amount) obtained through the over formula hardly becomes an integer, and commonly consists of a decimal fraction. Round up the decimal to an integer. Use an offset website link if the quantity is odd, but select an even quantity around possible.
When Lp is determined, re-calculate the center distance in between the driving shaft and driven shaft as described inside the following paragraph. Should the sprocket center distance are not able to be altered, tighten the chain utilizing an idler or chain tightener .
Center distance among driving and driven shafts
Of course, the center distance between the driving and driven shafts has to be far more than the sum of the radius of the two sprockets, but usually, a good sprocket center distance is considered for being thirty to 50 instances the chain pitch. 
Nevertheless, if your load is pulsating, twenty times or significantly less is good. The take-up angle involving the little sprocket as well as chain has to be 120°or a lot more. If the roller chain length Lp is provided, the center distance in between the sprockets can be obtained through 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 number)
N1 : Amount of teeth of smaller sprocket
N2 : Quantity of teeth of huge sprocket
