Maximum undeformed chip thickness given average volume of each chip Calculator

✖Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.ⓘ Average volume of each Chip [V₀]			+10% -10%
✖Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding.ⓘ Maximum width of chip in Grinding [a_{w max}]			+10% -10%
✖Average Length of Chip is the undeformed chip length during grinding operation.ⓘ Average Length of Chip [l_c]			+10% -10%

✖Maximum Undeformed Chip Thickness in Grinding is the maximum thickness of an undeformed chip after grinding operation.ⓘ Maximum undeformed chip thickness given average volume of each chip [a_{c max}]

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Formula

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Maximum undeformed chip thickness given average volume of each chip

Formula

`"a"_{"c max"} = 6*"V"_{"0"}/("a"_{"w max"}*"l"_{"c"})`

Example

`"6mm"=6*"151.2mm³"/("7.5mm"*"20.16mm")`

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Maximum undeformed chip thickness given average volume of each chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)
a_{c max} = 6*V₀/(a_{w max}*l_c)
This formula uses 4 Variables

Variables Used

Maximum Undeformed Chip Thickness in Grinding - (Measured in Meter) - Maximum Undeformed Chip Thickness in Grinding is the maximum thickness of an undeformed chip after grinding operation.
Average volume of each Chip - (Measured in Cubic Meter) - Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.
Maximum width of chip in Grinding - (Measured in Meter) - Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding.
Average Length of Chip - (Measured in Meter) - Average Length of Chip is the undeformed chip length during grinding operation.

STEP 1: Convert Input(s) to Base Unit

Average volume of each Chip: 151.2 Cubic Millimeter --> 1.512E-07 Cubic Meter (Check conversion here)
Maximum width of chip in Grinding: 7.5 Millimeter --> 0.0075 Meter (Check conversion here)
Average Length of Chip: 20.16 Millimeter --> 0.02016 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_{c max} = 6*V₀/(a_{w max}*l_c) --> 6*1.512E-07/(0.0075*0.02016)

Evaluating ... ...

a_{c max} = 0.006

STEP 3: Convert Result to Output's Unit

0.006 Meter -->6 Millimeter (Check conversion here)

FINAL ANSWER

6 Millimeter <-- Maximum Undeformed Chip Thickness in Grinding

(Calculation completed in 00.004 seconds)

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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

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< 18 Grinding Chip Calculators

Maximum undeformed chip thickness given constant for grinding wheel

Go Maximum Undeformed Chip Width in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed in Grinding Machine))/Surface Speed of Grinding Wheel)

Width of grinding path given Number of chips produced per time

Go Width of Grinding Path = Number of Chip Produced per Unit Time/(Surface Speed of Grinding Wheel*Number of active grains per Area on wheel surface)

Number of chip produced per unit time in Grinding

Go Number of Chip Produced per Unit Time = Surface Speed of Grinding Wheel*Width of Grinding Path*Number of active grains per Area on wheel surface

Average length of Chip given Average volume of each Chip

Go Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)

Maximum Width of Chip given Average volume of each Chip

Go Maximum width of chip in Grinding = (6*Average volume of each Chip)/(Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip)

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)

Average Volume of each Chip

Go Average volume of each Chip = Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip/6

Angle made by length of chip given Infeed

Go Angle made by the length of the chip = acos(1-(2*Infeed in Grinding Machine/Diameter of Grinding Tool Wheel))

Infeed for given Angle made by length of chip

Go Infeed in Grinding Machine = (1-cos(Angle made by the length of the chip))*Diameter of Grinding Tool Wheel/2

Angle made by length of chip

Go Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel)

Average length of chip

Go Average Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed in Grinding Machine*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum width of chip in Grinding = Grain aspect ratio in Grinding*Maximum Undeformed Chip Thickness in Grinding

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness in Grinding = Maximum width of chip in Grinding/Grain aspect ratio in Grinding

Metal removal rate given number of chip produced and volume of each chip

Go Material Removal Rate = Number of Chip Produced per Unit Time*Average Volume of Each Chip in Grinding

Average Volume of each chip given metal removal rate in grinding

Go Average Volume of Each Chip in Grinding = Material Removal Rate/Number of Chip Produced per Unit Time

Number of chip produce per time given metal removal rate

Go Number of Chip Produced per Unit Time = Material Removal Rate/Average Volume of Each Chip in Grinding

Infeed given Diameter of wheel and average length of chip

Go Infeed in Grinding Machine = (Average Chip Length^2)/Diameter of Grinding Tool Wheel

Maximum undeformed chip thickness given average volume of each chip Formula

Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)
a_{c max} = 6*V₀/(a_{w max}*l_c)

Why is the chip always thicker than the depth of cut?

During cutting, the cutting edge of the tool is positioned a certain distance below the original work surface. This corresponds to the thickness of the chip prior to chip formation. As the chip is formed along the shear plane, its thickness increases to t_c.

How to Calculate Maximum undeformed chip thickness given average volume of each chip?

Maximum undeformed chip thickness given average volume of each chip calculator uses Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip) to calculate the Maximum Undeformed Chip Thickness in Grinding, The Maximum undeformed chip thickness given average volume of each chip is the most important parameter to characterize ductile-mode grinding. Maximum Undeformed Chip Thickness in Grinding is denoted by a_{c max} symbol.

How to calculate Maximum undeformed chip thickness given average volume of each chip using this online calculator? To use this online calculator for Maximum undeformed chip thickness given average volume of each chip, enter Average volume of each Chip (V₀), Maximum width of chip in Grinding (a_{w max}) & Average Length of Chip (l_c) and hit the calculate button. Here is how the Maximum undeformed chip thickness given average volume of each chip calculation can be explained with given input values -> 357.1429 = 6*1.512E-07/(0.0075*0.02016).

FAQ

What is Maximum undeformed chip thickness given average volume of each chip?

The Maximum undeformed chip thickness given average volume of each chip is the most important parameter to characterize ductile-mode grinding and is represented as a_{c max} = 6*V₀/(a_{w max}*l_c) or Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip). Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding, Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding & Average Length of Chip is the undeformed chip length during grinding operation.

How to calculate Maximum undeformed chip thickness given average volume of each chip?

The Maximum undeformed chip thickness given average volume of each chip is the most important parameter to characterize ductile-mode grinding is calculated using Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip). To calculate Maximum undeformed chip thickness given average volume of each chip, you need Average volume of each Chip (V₀), Maximum width of chip in Grinding (a_{w max}) & Average Length of Chip (l_c). With our tool, you need to enter the respective value for Average volume of each Chip, Maximum width of chip in Grinding & Average Length of Chip 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 Maximum Undeformed Chip Thickness in Grinding?

In this formula, Maximum Undeformed Chip Thickness in Grinding uses Average volume of each Chip, Maximum width of chip in Grinding & Average Length of Chip. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Undeformed Chip Thickness in Grinding = Maximum width of chip in Grinding/Grain aspect ratio in Grinding

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