Maximum undeformed chip thickness given constant for grinding wheel Calculator

✖Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for particular grinding wheel [K]			+10% -10%
✖Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ Surface Speed of Workpiece [v_w]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f_in]			+10% -10%
✖Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Wheel [v_t]			+10% -10%

✖Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.ⓘ Maximum undeformed chip thickness given constant for grinding wheel [a_cmax]

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Formula

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Maximum undeformed chip thickness given constant for grinding wheel

Formula

`"a"_{"cmax"} = sqrt("K"*"v"_{"w"}*(sqrt("f"_{"in"}))/"v"_{"t"})`

Example

`"1259.96mm"=sqrt("2.54"*"100mm/s"*(sqrt("0.9mm"))/"4.8mm/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 = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of Wheel)
a_cmax = sqrt(K*v_w*(sqrt(f_in))/v_t)
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 - (Measured in Meter) - Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.
Constant for particular grinding wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.
Surface Speed of Workpiece - (Measured in Meter per Second) - Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.

STEP 1: Convert Input(s) to Base Unit

Constant for particular grinding wheel: 2.54 --> No Conversion Required
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Surface Speed of Wheel: 4.8 Millimeter per Second --> 0.0048 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_cmax = sqrt(K*v_w*(sqrt(f_in))/v_t) --> sqrt(2.54*0.1*(sqrt(0.0009))/0.0048)

Evaluating ... ...

a_cmax = 1.25996031683542

STEP 3: Convert Result to Output's Unit

1.25996031683542 Meter -->1259.96031683542 Millimeter (Check conversion here)

FINAL ANSWER

1259.96031683542 ≈ 1259.96 Millimeter <-- Maximum Undeformed Chip Thickness

(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

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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 = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of 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 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 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 Length of 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*Length of Chip)

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*Length of Chip)

Average Volume of each Chip

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

Angle made by length of chip

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

Average length of chip

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

Angle made by length of chip given Infeed

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

Infeed for given Angle made by length of chip

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

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

Average Volume of each chip given metal removal rate in grinding

Go Average volume of each Chip = 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

Average length of chip given Infeed

Go Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

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

Maximum undeformed chip thickness

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

Infeed given Diameter of wheel and average length of chip

Go Feed = (Length of Chip^2)/Diameter of Grinding Tool Wheel

Maximum undeformed chip thickness given constant for grinding wheel Formula

Maximum Undeformed Chip Thickness = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of Wheel)
a_cmax = sqrt(K*v_w*(sqrt(f_in))/v_t)

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 = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of Wheel) to calculate the Maximum Undeformed Chip Thickness, The Maximum undeformed chip thickness given constant for grinding wheel is the most important parameter to characterize ductile-mode grinding. Maximum Undeformed Chip Thickness is denoted by a_cmax 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 particular grinding wheel (K), Surface Speed of Workpiece (v_w), Feed (f_in) & Surface Speed of Wheel (v_t) 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 -> 1.3E+6 = sqrt(2.54*0.1*(sqrt(0.0009))/0.0048).

FAQ

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

The Maximum undeformed chip thickness given constant for grinding wheel is the most important parameter to characterize ductile-mode grinding and is represented as a_cmax = sqrt(K*v_w*(sqrt(f_in))/v_t) or Maximum Undeformed Chip Thickness = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of Wheel). Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding, Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.

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

The Maximum undeformed chip thickness given constant for grinding wheel is the most important parameter to characterize ductile-mode grinding is calculated using Maximum Undeformed Chip Thickness = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of Wheel). To calculate Maximum undeformed chip thickness given constant for grinding wheel, you need Constant for particular grinding wheel (K), Surface Speed of Workpiece (v_w), Feed (f_in) & Surface Speed of Wheel (v_t). With our tool, you need to enter the respective value for Constant for particular grinding wheel, Surface Speed of Workpiece, Feed & Surface Speed of Wheel 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 this formula, Maximum Undeformed Chip Thickness uses Constant for particular grinding wheel, Surface Speed of Workpiece, Feed & Surface Speed of Wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Maximum Undeformed Chip Thickness = Maximum width of chip/Grain aspect ratio
Maximum Undeformed Chip Thickness = 6*Average volume of each Chip/(Maximum width of chip*Length of Chip)

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