Radius of chip curvature given constant of material Calculator

✖Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.ⓘ Chip Breaker Distance [l_n]			+10% -10%
✖The Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness.ⓘ Material Constant [K]			+10% -10%
✖Chip Thickness is defined as the actual thickness of the chip after cutting.ⓘ Chip Thickness [a_o]			+10% -10%
✖Chip Breaker Height is defined as the height of the chip breaker on the tool.ⓘ Chip Breaker Height [h]			+10% -10%

✖Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.ⓘ Radius of chip curvature given constant of material [r]

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Radius of chip curvature given constant of material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)
r = (((l_n)-((K)*(a_o))^2)/(2*(h)))+(h/2)
This formula uses 5 Variables

Variables Used

Radius of Chip Curvature - (Measured in Meter) - Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.
Chip Breaker Distance - (Measured in Meter) - Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.
Material Constant - The Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness.
Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.
Chip Breaker Height - (Measured in Meter) - Chip Breaker Height is defined as the height of the chip breaker on the tool.

STEP 1: Convert Input(s) to Base Unit

Chip Breaker Distance: 6.4 Millimeter --> 0.0064 Meter (Check conversion here)
Material Constant: 12.5 --> No Conversion Required
Chip Thickness: 0.099 Millimeter --> 9.9E-05 Meter (Check conversion here)
Chip Breaker Height: 0.55 Millimeter --> 0.00055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (((l_n)-((K)*(a_o))^2)/(2*(h)))+(h/2) --> (((0.0064)-((12.5)*(9.9E-05))^2)/(2*(0.00055)))+(0.00055/2)

Evaluating ... ...

r = 5.81706463068182

STEP 3: Convert Result to Output's Unit

5.81706463068182 Meter -->5817.06463068182 Millimeter (Check conversion here)

FINAL ANSWER

5817.06463068182 ≈ 5817.065 Millimeter <-- Radius of Chip Curvature

(Calculation completed in 00.004 seconds)

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< Chip Control Calculators

Metal Removal Rate given Specific Cutting Energy

LaTeX Go Metal Removal Rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining

Undeformed Chip Thickness using Length of Shear Plane of Chip

LaTeX Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear Angle)

Length of Shear Plane of Chip

LaTeX Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

LaTeX Go Cross Sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Radius of chip curvature given constant of material Formula

LaTeX Go

Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)
r = (((l_n)-((K)*(a_o))^2)/(2*(h)))+(h/2)

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.

What is the minimum chip thickness?

Finally, it is concluded that minimum uncut chip thickness varies practically from 1/4 to 1/3 of tool cutting edge, regardless of workpiece material, tool geometry, mechanical machining process, and technique used for measuring or estimating human, i.e. numerical, analytical or experimental.

How to Calculate Radius of chip curvature given constant of material?

Radius of chip curvature given constant of material calculator uses Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2) to calculate the Radius of Chip Curvature, The Radius of chip curvature given constant of material formula is defined to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker. Radius of Chip Curvature is denoted by r symbol.

How to calculate Radius of chip curvature given constant of material using this online calculator? To use this online calculator for Radius of chip curvature given constant of material, enter Chip Breaker Distance (l_n), Material Constant (K), Chip Thickness (a_o) & Chip Breaker Height (h) and hit the calculate button. Here is how the Radius of chip curvature given constant of material calculation can be explained with given input values -> 4.6E+7 = (((0.0064)-((12.5)*(9.9E-05))^2)/(2*(0.00055)))+(0.00055/2).

FAQ

What is Radius of chip curvature given constant of material?

The Radius of chip curvature given constant of material formula is defined to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker and is represented as r = (((l_n)-((K)*(a_o))^2)/(2*(h)))+(h/2) or Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2). Chip Breaker Distance is defined as the distance between the tool point and the chip breaker, The Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness, Chip Thickness is defined as the actual thickness of the chip after cutting & Chip Breaker Height is defined as the height of the chip breaker on the tool.

How to calculate Radius of chip curvature given constant of material?

The Radius of chip curvature given constant of material formula is defined to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker is calculated using Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2). To calculate Radius of chip curvature given constant of material, you need Chip Breaker Distance (l_n), Material Constant (K), Chip Thickness (a_o) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip Breaker Distance, Material Constant, Chip Thickness & Chip Breaker Height 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 Radius of Chip Curvature?

In this formula, Radius of Chip Curvature uses Chip Breaker Distance, Material Constant, Chip Thickness & Chip Breaker Height. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Chip Curvature = ((Chip Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
Radius of Chip Curvature = ((Chip Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
Radius of Chip Curvature = ((Chip Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))

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