Grain-aspect Ratio Calculator

✖Maximum width of chip is defined as the maximum amount of chip width that can be obtained during grinding.ⓘ Maximum Width of Chip [a_w-max]			+10% -10%
✖Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.ⓘ Maximum Undeformed Chip Thickness [a_c-max]			+10% -10%

✖Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.ⓘ Grain-aspect Ratio [r_g]

⎘ Copy

👎

Formula

✖

Grain-aspect Ratio

Formula

`"r"_{"g"} = "a"_{"w-max"}/"a"_{"c-max"}`

Example

`"0.26"="78mm"/"300mm"`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Grain-aspect Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness
r_g = a_w-max/a_c-max
This formula uses 3 Variables

Variables Used

Grain aspect ratio - Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.
Maximum Width of Chip - (Measured in Meter) - Maximum width of chip is defined as the maximum amount of chip width that can be obtained during grinding.
Maximum Undeformed Chip Thickness - (Measured in Meter) - Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.

STEP 1: Convert Input(s) to Base Unit

Maximum Width of Chip: 78 Millimeter --> 0.078 Meter (Check conversion here)
Maximum Undeformed Chip Thickness: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_g = a_w-max/a_c-max --> 0.078/0.3

Evaluating ... ...

r_g = 0.26

STEP 3: Convert Result to Output's Unit

0.26 --> No Conversion Required

FINAL ANSWER

0.26 <-- Grain aspect ratio

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grain » Grain-aspect Ratio

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 13 Grain Calculators

Number of active Grains per unit area given Constant for grinding wheel

Go Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain aspect ratio*sqrt(Diameter of Grinding Wheel))

Grain-aspect Ratio given Constant for grinding wheel

Go Grain aspect ratio = 6/(Number of Active Grains per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel))

Infeed given constant for grinding wheel

Go Feed = ((Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for Particular Grinding Wheel*Surface Speed of Workpiece))^2

Material Removal Rate in Plunge-Grinder

Go Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding

Material Removal Rate in Cylindrical and Internal Grinder

Go Maximum Material Removal Rate = pi*Feed Rate of the Machine Table*Diameter of Work Surface*Traverse Speed

Number of active Grains per unit area on wheel surface

Go Number of Active Grains per Area on Wheel Surface = Number of Chip Produced per Unit Time/(Surface Speed of Wheel*Back Engagement)

Traverse Speed for Cylindrical and Internal Grinder given MRR

Go Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate

Width of Grinding path given Metal removal rate

Go Back Engagement = Metal removal rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)

Metal removal rate during Grinding

Go Metal removal rate = Infeed in Grinding Operation*Back Engagement*Surface Speed of Workpiece

Infeed given Metal removal rate during Grinding

Go Infeed = Metal removal rate/(Back Engagement in Grinding*Surface Speed of Workpiece)

Traverse Speed in Horizontal and Vertical Spindle Surface-Grinder given MRR

Go Traverse Speed of Work-table = Feed Rate*Depth of Cut/Metal removal rate

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

Go Material Removal Rate = Cross Feed*Back Engagement*Traverse Speed

Grain-aspect Ratio

Go Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness

Grain-aspect Ratio Formula

Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness
r_g = a_w-max/a_c-max

What is undeformed chip thickness?

The undeformed chip thickness in milling is defined as the distance between two consecutive cut surfaces. It varies during cutting and is measured in the direction perpendicular to the preceding cut surface.

How to Calculate Grain-aspect Ratio?

Grain-aspect Ratio calculator uses Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness to calculate the Grain aspect ratio, The Grain-aspect Ratio is the ratio of the maximum width of the chip to the maximum undeformed chip thickness. Grain aspect ratio is denoted by r_g symbol.

How to calculate Grain-aspect Ratio using this online calculator? To use this online calculator for Grain-aspect Ratio, enter Maximum Width of Chip (a_w-max) & Maximum Undeformed Chip Thickness (a_c-max) and hit the calculate button. Here is how the Grain-aspect Ratio calculation can be explained with given input values -> 0.26 = 0.078/0.3.

FAQ

What is Grain-aspect Ratio?

The Grain-aspect Ratio is the ratio of the maximum width of the chip to the maximum undeformed chip thickness and is represented as r_g = a_w-max/a_c-max or Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness. Maximum width of chip is defined as the maximum amount of chip width that can be obtained during grinding & Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.

How to calculate Grain-aspect Ratio?

The Grain-aspect Ratio is the ratio of the maximum width of the chip to the maximum undeformed chip thickness is calculated using Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness. To calculate Grain-aspect Ratio, you need Maximum Width of Chip (a_w-max) & Maximum Undeformed Chip Thickness (a_c-max). With our tool, you need to enter the respective value for Maximum Width of Chip & Maximum Undeformed Chip Thickness 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 Grain aspect ratio?

In this formula, Grain aspect ratio uses Maximum Width of Chip & Maximum Undeformed Chip Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Grain aspect ratio = 6/(Number of Active Grains per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel))

Home

FREE PDFs

🔍 Search