Geometric step ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Geometric step ratio = Range ratio in preferred Series^(1/(Quantity of product(Enter integer value only)-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(Enter integer value only) - 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(Enter integer value only): 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = R^(1/(n-1)) --> 10^(1/(6-1))
Evaluating ... ...
a = 1.58489319246111
STEP 3: Convert Result to Output's Unit
1.58489319246111 --> No Conversion Required
FINAL ANSWER
1.58489319246111 1.584893 <-- Geometric step ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
Vivek Gaikwad has created this Calculator and 25+ more calculators!
Verified by Vedant Chitte
All India Shri Shivaji Memorials Society's ,College of Engineering (AISSMS COE PUNE), Pune
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7 Geometric Properties Calculators

Radius of Pinion at Midpoint along Face Width for Bevel Gear
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
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
Go Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)
Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear
Go Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear
Geometric step ratio
Go Geometric step ratio = Range ratio in preferred Series^(1/(Quantity of product(Enter integer value only)-1))
Virtual or Formative Number of Teeth of Bevel Gear
Go Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear
Back Cone Radius of Bevel Gear
Go Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2

Geometric step ratio Formula

Geometric step ratio = Range ratio in preferred Series^(1/(Quantity of product(Enter integer value only)-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(Enter integer value only)-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(Enter integer value only) (n) and hit the calculate button. Here is how the Geometric step ratio calculation can be explained with given input values -> 1.584893 = 10^(1/(6-1)).

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(Enter integer value only)-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(Enter integer value only)-1)). To calculate Geometric step ratio, you need Range ratio in preferred Series (R) & Quantity of product(Enter integer value only) (n). With our tool, you need to enter the respective value for Range ratio in preferred Series & Quantity of product(Enter integer value only) 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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