Maximum undeformed chip thickness given constant for grinding wheel Calculator

✖Constant for Grinding Wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.ⓘ Constant for Grinding Wheel [K]			+10% -10%
✖Surface Speed of Workpiece in Grinding refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.ⓘ Surface Speed of Workpiece in Grinding [u_w]			+10% -10%
✖Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.ⓘ Infeed Provided by Grinding Wheel [f_in]			+10% -10%
✖Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.ⓘ Surface Speed of Grinding Wheel [u_g]			+10% -10%

✖Maximum Undeformed Chip Thickness in Grinding is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and forms a chip.ⓘ Maximum undeformed chip thickness given constant for grinding wheel [b_gcMax]

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Formula

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Maximum undeformed chip thickness given constant for grinding wheel

Formula

`"b"_{"gcMax "} = sqrt("K"*"u"_{"w"}*(sqrt("f"_{"in"}))/"u"_{"g"})`

Example

`"54.10094mm"=sqrt("2.54"*"100mm/s"*(sqrt("2.0981mm"))/"3975mm/s")`

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Maximum undeformed chip thickness given constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel)
b_gcMax = sqrt(K*u_w*(sqrt(f_in))/u_g)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Maximum Undeformed Chip Thickness in Grinding - (Measured in Meter) - Maximum Undeformed Chip Thickness in Grinding is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and forms a chip.
Constant for Grinding Wheel - Constant for Grinding Wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.
Surface Speed of Workpiece in Grinding - (Measured in Meter per Second) - Surface Speed of Workpiece in Grinding refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.
Infeed Provided by Grinding Wheel - (Measured in Meter) - Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.
Surface Speed of Grinding Wheel - (Measured in Meter per Second) - Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.

STEP 1: Convert Input(s) to Base Unit

Constant for Grinding Wheel: 2.54 --> No Conversion Required
Surface Speed of Workpiece in Grinding: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Infeed Provided by Grinding Wheel: 2.0981 Millimeter --> 0.0020981 Meter (Check conversion here)
Surface Speed of Grinding Wheel: 3975 Millimeter per Second --> 3.975 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_gcMax = sqrt(K*u_w*(sqrt(f_in))/u_g) --> sqrt(2.54*0.1*(sqrt(0.0020981))/3.975)

Evaluating ... ...

b_gcMax = 0.054100943332036

STEP 3: Convert Result to Output's Unit

0.054100943332036 Meter -->54.100943332036 Millimeter (Check conversion here)

FINAL ANSWER

54.100943332036 ≈ 54.10094 Millimeter <-- Maximum Undeformed Chip Thickness in Grinding

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grinding Chip » Maximum undeformed chip thickness given constant for grinding wheel

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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 Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/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 a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)

Maximum Width of Chip given Average volume of each Chip

Go Maximum Width of Chip = (6*Average Volume of Each Chip)/(Maximum Undeformed Chip Thickness*Average Length of a Chip)

Angle made by length of chip given Infeed

Go Angle Made by The Length of The Chip = acos(1-(2*Infeed Provided by Grinding Wheel)/Diameter of Grinding Wheel Tool)

Infeed for given Angle made by length of chip

Go Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness = 6*Average Volume of Each Chip/(Maximum Width of Chip*Average Length of a Chip)

Average Volume of each Chip

Go Average Volume of Each Chip = Maximum Width of Chip*Maximum Undeformed Chip Thickness*Average Length of a Chip/6

Angle made by length of chip

Go Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool)

Average length of chip

Go Average Length of a Chip = Diameter of Grinding Wheel Tool*sin(Angle Made by The Length of The Chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed Provided by Grinding Wheel*Diameter of Grinding Wheel Tool)

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 Provided by Grinding Wheel = (Average Chip Length^2)/Diameter of Grinding Wheel Tool

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum Width of Chip = Grain Aspect Ratio in Grinding*Maximum Undeformed Chip Thickness

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness = Maximum Width of Chip/Grain Aspect Ratio in Grinding

Maximum undeformed chip thickness given constant for grinding wheel Formula

How often should you dress a grinding wheel?

Dull dressing tools glaze the wheel face to produce a dull wheel. To maintain a well-defined and sharp diamond point, rotate the single-point or cone-point tool 1/8 turn at regular intervals. The frequency of these rotations will depend on how often you dress, but a minimum of once per day is a good rule of thumb.

How to Calculate Maximum undeformed chip thickness given constant for grinding wheel?

Maximum undeformed chip thickness given constant for grinding wheel calculator uses Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel) to calculate the Maximum Undeformed Chip Thickness in Grinding, Maximum undeformed chip thickness given constant for grinding wheel is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and actually forms a chip, when grinding wheel constant (specific to the grinding wheel) is known. By controlling the maximum undeformed chip thickness(MUCT), it is possible to achieve ductile-mode grinding, which results in improved surface integrity and reduced surface roughness. Maximum Undeformed Chip Thickness in Grinding is denoted by b_gcMax symbol.

How to calculate Maximum undeformed chip thickness given constant for grinding wheel using this online calculator? To use this online calculator for Maximum undeformed chip thickness given constant for grinding wheel, enter Constant for Grinding Wheel (K), Surface Speed of Workpiece in Grinding (u_w), Infeed Provided by Grinding Wheel (f_in) & Surface Speed of Grinding Wheel (u_g) and hit the calculate button. Here is how the Maximum undeformed chip thickness given constant for grinding wheel calculation can be explained with given input values -> 54100.94 = sqrt(2.54*0.1*(sqrt(0.0020981))/3.975).

FAQ

What is Maximum undeformed chip thickness given constant for grinding wheel?

Maximum undeformed chip thickness given constant for grinding wheel is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and actually forms a chip, when grinding wheel constant (specific to the grinding wheel) is known. By controlling the maximum undeformed chip thickness(MUCT), it is possible to achieve ductile-mode grinding, which results in improved surface integrity and reduced surface roughness and is represented as b_gcMax = sqrt(K*u_w*(sqrt(f_in))/u_g) or Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel). Constant for Grinding Wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters, Surface Speed of Workpiece in Grinding refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel, Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material & Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.

How to calculate Maximum undeformed chip thickness given constant for grinding wheel?

Maximum undeformed chip thickness given constant for grinding wheel is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and actually forms a chip, when grinding wheel constant (specific to the grinding wheel) is known. By controlling the maximum undeformed chip thickness(MUCT), it is possible to achieve ductile-mode grinding, which results in improved surface integrity and reduced surface roughness is calculated using Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel). To calculate Maximum undeformed chip thickness given constant for grinding wheel, you need Constant for Grinding Wheel (K), Surface Speed of Workpiece in Grinding (u_w), Infeed Provided by Grinding Wheel (f_in) & Surface Speed of Grinding Wheel (u_g). With our tool, you need to enter the respective value for Constant for Grinding Wheel, Surface Speed of Workpiece in Grinding, Infeed Provided by Grinding Wheel & Surface Speed of Grinding Wheel 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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