Chain And sprocket Calculation for FSAE vehicles

 

Chain




 

Chain Construction

Chains have a surprising number of parts. The roller turns freely on the bushing, which is attached on each end to the inner plate. A pin passes through the bushing, and is attached at each end to the outer plate. Bicycle chains omit the bushing, instead using the circular ridge formed around the pin hole of the inner plate.



Chain Dimensions

Chain types are identified by number; ie. a number 40 chain. The rightmost digit is 0 for chain of the standard dimensions; 1 for lightweight chain; and 5 for rollerless bushing chain. The digits to the left indicate the pitch of the chain in eighths of an inch. For example, a number 40 chain would have a pitch of four-eighths of an inch, or 1/2", and would be of the standard dimensions in width, roller diameter, etc.

The roller diameter is "nearest binary fraction" (32nd of an inch) to 5/8ths of the pitch; pin diameter is half of roller diameter. The width of the chain, for "standard" (0 series) chain, is the nearest binary fraction to 5/8ths of the pitch; for narrow chains (1 series) width is 41% of the pitch. Sprocket thickness is approximately 85-90% of the roller width.

Plate thickness is 1/8th of the pitch, except "extra-heavy" chain, which is designated by the suffix H, and is 1/32" thicker

 

 

 

ANSI Standard Chain Dimensions

Chain No.

Pitch

Roller Diameter

Roller Width

Sprocket thickness

Working Load

25

1/4"

0.130"

1/8"

0.110"

140 lbs

35

3/8"

0.200"

3/16"

0.168"

480 lbs

40

1/2"

5/16"

5/16"

0.284"

810 lbs

41

1/2"

0.306"

1/4"

0.227"

500 lbs

50

5/8"

0.400"

3/8"

0.343"

1400 lbs

60

3/4"

15/32"

1/2"

0.459"

1950 lbs

80

1"

5/8"

5/8"

0.575"

3300 lbs

Bicycle and Motorcycle Chain Dimensions

Chain No.

Pitch

Roller Diameter

Roller Width

Sprocket thickness

Bicycle, with Derailleur

1/2"

5/16"

1/8"

0.110"

Bicycle, without Derailleur

1/2"

5/16"

3/32"

0.084"

420

1/2"

5/16"

1/4"

0.227"

425

1/2"

5/16"

5/16"

0.284"

428

1/2"

0.335"

5/16"

0.284"

520

5/8"

0.400"

1/4"

0.227"

525

5/8"

0.400"

5/16"

0.284"

530

5/8"

0.400"

3/8"

0.343"

630

3/4"

15/32"

3/8"

0.343"

Selecting a Chain

Two factors determine the selection of a chain; the working load and the rpm of the smaller sprocket. The working load sets a lower limit on pitch, and the speed sets an upper limit.

Maximum Pitch = (900 ÷ rpm ) 2/3

The smaller the pitch, the less noise, wear, and mechanical losses will be experienced.

Sprockets

There are four types of sprocket;

  • Type A: Plain Plate sprockets
  • Type B: Hub on one side
  • Type C: Hub on both sides
  • Type D: Detachable hub

Sprockets should be as large as possible given the application. The larger a sprocket is, the less the working load for a given amount of transmitted power, allowing the use of a smaller-pitch chain. However, chain speeds should be kept under 1200 feet per minute.

The dimensions of a sprocket can be calculated as follows, where P is the pitch of the chain, and N is the number of teeth on the sprocket;

Pitch Diameter = P ÷ sin (180° ÷ N)

Outside Diameter = P × (0.6 + cot ( 180° ÷ N) )

Sprocket thickness = 0.93 × Roller Width - 0.006"

Procedure for Laying Out a Sprocket

The first thing you need to know to lay out a sprocket is the dimensions of the chain which is to run upon it, specifically the pitchroller diameter, and the roller width of the chain. The second thing you need to know is the number of teeth in the sprocket, which will depend entirely on your application. From these numbers, the outside diameter and thickness of the required blank can be calculated.

You'll also need to know the angle between teeth - this is simply the 360° divided by the number of teeth.

The sprocket teeth are usually truncated one chain pitch above the bottom of the seat; this is not shown here. Note that this shape is not the only one that will work - bicycles in particular use various tooth shapes for different circumstances.

Application

Sprockets should be accurately aligned in a common vertical plane, with their axes parallel. Chain should be kept clean and well lubricated with a thin, light-bodied oil that will penetrate the small clearances between pins and bushings.

Center distance should not be less than 1.5 times the diameter of the larger sprocket, nor less than 30 times the chain pitch, and should not exceed 60 times the chain pitch. Center distance should be adjustable - one chain pitch is sufficient - and failing this an idler sprocket should be used to adjust tension. A little slack is desirable, preferably on the bottom side of the drive.

The chain should wrap at least 120° around the drive sprocket, which requires a ratio of no more than 3.5 to 1; for greater ratios, an idler sprocket may be required to increase wrap angle


Now from the above given data and pre requisite knowledge the OEM sprocket of engine side will be of 18 teeth so the differential sprocket pitch need to be same of the engine sprocket and the chain pitch will also be same so that all three will be in a perfect sync and no slippage otherwise due to high tension chain will get broken and due to more slack chain will be slip out

So for the standard OEM internal sprocket the same pitch ANSI roller chain is used with the 102 Pitch
 the data for selected chain is

Chain No.   Pitch   Roller Diameter   Roller Width  

530            5/8"         0.400"                3/8"               

 


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