Pitch Circle Diameter given Root Diameter of Sprocket Wheel Calculator

↳

⤿

Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

⤿

Proportions of the Sprocket Wheel

Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

✖The Root diameter of sprocket wheel is the diameter of the sprocket at the root of the teeth.ⓘ Root Diameter of Sprocket Wheel [D_f]			+10% -10%
✖Roller Seating Radius is defined as the radius of the slot where the roller can fix its position and can settle.ⓘ Roller Seating Radius [r_i]			+10% -10%

✖Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket.ⓘ Pitch Circle Diameter given Root Diameter of Sprocket Wheel [D_s]

⎘ Copy

👎

Formula

✖

Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Formula

`"D"_{"s"} = "D"_{"f"}+2*"r"_{"i"}`

Example

`"164mm"="150mm"+2*"7mm"`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

Pitch Circle Diameter given Root Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
D_s = D_f+2*r_i
This formula uses 3 Variables

Variables Used

Sproket Diameter of Pitch Circle - (Measured in Meter) - Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket.
Root Diameter of Sprocket Wheel - (Measured in Meter) - The Root diameter of sprocket wheel is the diameter of the sprocket at the root of the teeth.
Roller Seating Radius - (Measured in Meter) - Roller Seating Radius is defined as the radius of the slot where the roller can fix its position and can settle.

STEP 1: Convert Input(s) to Base Unit

Root Diameter of Sprocket Wheel: 150 Millimeter --> 0.15 Meter (Check conversion here)
Roller Seating Radius: 7 Millimeter --> 0.007 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = D_f+2*r_i --> 0.15+2*0.007

Evaluating ... ...

D_s = 0.164

STEP 3: Convert Result to Output's Unit

0.164 Meter -->164 Millimeter (Check conversion here)

FINAL ANSWER

164 Millimeter <-- Sproket Diameter of Pitch Circle

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Chain Drives » Proportions of the Sprocket Wheel » Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 22 Proportions of the Sprocket Wheel Calculators

Pitch Circle Diameter given Top Diameter of Sprocket Wheel

Go Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of teeth on sprocket))+2*Roller Radius of Chain

Top Diameter of Sprocket Wheel

Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of teeth on sprocket))-2*Roller Radius of Chain

Number of Teeth given Maximum Tooth Height above Pitch Polygon

Go Number of teeth on sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)

Maximum Tooth Height above Pitch Polygon

Go Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of teeth on sprocket)

Chain Pitch given Maximum Tooth Height above Pitch Polygon

Go Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket)

Pitch Circle Diameter given Average Velocity of Chain

Go Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm)

Pitch Circle Diameter given Pitch

Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of teeth on sprocket)

Roller Seating Radius given Roller Radius

Go Roller Seating Radius = (1.010*Roller Radius of Chain)+(0.00069*((2*Roller Radius of Chain)^(1/3)))

Tooth Flank Radius

Go Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of teeth on sprocket)^2+180)

Roller Seating Radius given Root Diameter of Sprocket Wheel

Go Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2

Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Go Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius

Number of Teeth given Minimum Tooth Flank Radius

Go Number of teeth on sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2

Root Diameter of Sprocket Wheel

Go Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius

Minimum Tooth Flank Radius

Go Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of teeth on sprocket+2)

Number of Teeth given Maximum Roller Seating Angle

Go Number of teeth on sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))

Number of Teeth given Minimum Roller Seating Angle

Go Number of teeth on sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))

Maximum Roller Seating Angle

Go Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180

Minimum Roller Seating Angle

Go Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180

Number of Teeth on Sprocket given Pitch Angle of Sprocket

Go Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Minimum Tooth Height above Pitch Polygon

Go Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain

Pitch Angle of Sprocket

Go Pitch Angle of Sprocket = (360/Number of teeth on sprocket)/57.24

Minimum Roller Seating Radius

Go Minimum Roller Seating Radius = 2*0.505*Roller Radius of Chain

Pitch Circle Diameter given Root Diameter of Sprocket Wheel Formula

Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
D_s = D_f+2*r_i

Define Root Diameter?

The smallest outside diameter of a roll tool, this is the part of the tooling that comes into contact with the metal strip. Also called drive diameter.

How to Calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

Pitch Circle Diameter given Root Diameter of Sprocket Wheel calculator uses Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius to calculate the Sproket Diameter of Pitch Circle, The Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as diameter of circle which passes through centre of all studs, wheel bolts or wheel rim holes. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Pitch Circle Diameter given Root Diameter of Sprocket Wheel, enter Root Diameter of Sprocket Wheel (D_f) & Roller Seating Radius (r_i) and hit the calculate button. Here is how the Pitch Circle Diameter given Root Diameter of Sprocket Wheel calculation can be explained with given input values -> 164000 = 0.15+2*0.007.

FAQ

What is Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

The Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as diameter of circle which passes through centre of all studs, wheel bolts or wheel rim holes and is represented as D_s = D_f+2*r_i or Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius. The Root diameter of sprocket wheel is the diameter of the sprocket at the root of the teeth & Roller Seating Radius is defined as the radius of the slot where the roller can fix its position and can settle.

How to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

The Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as diameter of circle which passes through centre of all studs, wheel bolts or wheel rim holes is calculated using Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius. To calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel, you need Root Diameter of Sprocket Wheel (D_f) & Roller Seating Radius (r_i). With our tool, you need to enter the respective value for Root Diameter of Sprocket Wheel & Roller Seating Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sproket Diameter of Pitch Circle?

In this formula, Sproket Diameter of Pitch Circle uses Root Diameter of Sprocket Wheel & Roller Seating Radius. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of teeth on sprocket)
Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of teeth on sprocket))+2*Roller Radius of Chain
Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm)

Home

FREE PDFs

🔍 Search