A roller chain is to be used on a paving machine to transmit 30 hp from the 4- cylinder Diesel engine to a counter-shaft

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A roller chain is to be used on a paving machine to transmit 30hp from the 4- cylinder Diesel engine to a counter-shaft; enginespeed 1000 rpm, counter-shaft speed 500 rpm. The center distance isfixed at 24 in. The chain will be subjected to intermittentoverloads of 100 %.
a) Determine the pitch and the number of chains required totransmit this power.
b) What is the length of the chain required?
c) How much slack must be allowed in order to have a wholenumber of pitches? A chain drive with significant slack andsubjected to impulsive loading should have an idler sprocketagainst the slack strand. If it were possible to change the speedratio slightly, it might be possible to have a chain with noappreciable slack.