Geometric step ratio Calculator

✖Range ratio in preferred Series is simply ratio of maximum dimension/power rating to the minimum dimension/power rating of any product.ⓘ Range Ratio in Preferred Series [R]			+10% -10%
✖Quantity of product(Enter integer value only) is the number of units of particular product (say LED bulb, Cylindrical rod, etc.) you want to manufacture.ⓘ Quantity of Product [n]			+10% -10%

✖Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product.ⓘ Geometric step ratio [a]

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Geometric step ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Geometric Step Ratio = Range Ratio in Preferred Series^(1/(Quantity of Product-1))
a = R^(1/(n-1))
This formula uses 3 Variables

Variables Used

Geometric Step Ratio - Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product.
Range Ratio in Preferred Series - Range ratio in preferred Series is simply ratio of maximum dimension/power rating to the minimum dimension/power rating of any product.
Quantity of Product - Quantity of product(Enter integer value only) is the number of units of particular product (say LED bulb, Cylindrical rod, etc.) you want to manufacture.

STEP 1: Convert Input(s) to Base Unit

Range Ratio in Preferred Series: 10 --> No Conversion Required
Quantity of Product: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = R^(1/(n-1)) --> 10^(1/(5-1))

Evaluating ... ...

a = 1.77827941003892

STEP 3: Convert Result to Output's Unit

1.77827941003892 --> No Conversion Required

FINAL ANSWER

1.77827941003892 ≈ 1.778279 <-- Geometric Step Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Bevel Gears » Mechanical » Geometric Properties » Geometric step ratio

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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All India Shri Shivaji Memorials Society's ,College of Engineering (AISSMS COE PUNE), Pune

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< Geometric Properties Calculators

Radius of Pinion at Midpoint along Face Width for Bevel Gear

LaTeX Go Radius of Pinion at Midpoint = (Pitch Circle Diameter of Bevel Pinion-(Face Width of Bevel Gear Tooth*sin(Pitch Angle for Bevel Gear)))/2

Actual Number of Teeth on Bevel Gear

LaTeX Go Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear)

Cone Distance of Bevel Gear

LaTeX Go Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)

Virtual or Formative Number of Teeth of Bevel Gear

LaTeX Go Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear

Geometric step ratio Formula

LaTeX Go

Geometric Step Ratio = Range Ratio in Preferred Series^(1/(Quantity of Product-1))
a = R^(1/(n-1))

What is geometric ratio in preferred series?

The Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product.

What is preferred series and how many preferred series are there?

With the acceptance of standardization there is a need to keep the standard sizes or dimensions of any component or product in discrete steps. The sizes should be spread over the wide range at the same time this should be spaced properly.
For example- If shaft diameters are to be standardized between 10 mm and 25 mm then sizes should be like 10 mm, 12.5 mm, 16mm, 20mm, 25mm, and not like 10mm, 11mm, 13mm, 18mm, 25mm,etc. This led to the use of geometric series known as series of preferred numbers or preferred series.

How to Calculate Geometric step ratio?

Geometric step ratio calculator uses Geometric Step Ratio = Range Ratio in Preferred Series^(1/(Quantity of Product-1)) to calculate the Geometric Step Ratio, The Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product. Geometric Step Ratio is denoted by a symbol.

How to calculate Geometric step ratio using this online calculator? To use this online calculator for Geometric step ratio, enter Range Ratio in Preferred Series (R) & Quantity of Product (n) and hit the calculate button. Here is how the Geometric step ratio calculation can be explained with given input values -> 1.778279 = 10^(1/(5-1)).

FAQ

What is Geometric step ratio?

The Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product and is represented as a = R^(1/(n-1)) or Geometric Step Ratio = Range Ratio in Preferred Series^(1/(Quantity of Product-1)). Range ratio in preferred Series is simply ratio of maximum dimension/power rating to the minimum dimension/power rating of any product & Quantity of product(Enter integer value only) is the number of units of particular product (say LED bulb, Cylindrical rod, etc.) you want to manufacture.

How to calculate Geometric step ratio?

The Geometric step ratio is a multiplier for minimum size/range of product to simply obtain next standardized size of product is calculated using Geometric Step Ratio = Range Ratio in Preferred Series^(1/(Quantity of Product-1)). To calculate Geometric step ratio, you need Range Ratio in Preferred Series (R) & Quantity of Product (n). With our tool, you need to enter the respective value for Range Ratio in Preferred Series & Quantity of Product and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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