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Radius of chip curvature given constant of material Formula

GoRadius of Chip curvature Formula

GoRadius of Chip curvature when material constant is unity Formula

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Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker. Check FAQs

r = (\frac{(l n) - {((K) \cdot (a o))}^{2}}{2 \cdot (h)}) + (\frac{h}{2})

r - Radius of Chip Curvature?l_n - Chip Breaker Distance?K - Material Constant?a_o - Chip Thickness?h - Chip Breaker Height?

Radius of chip curvature given constant of material Example

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Here is how the Radius of chip curvature given constant of material equation looks like with Values.

Here is how the Radius of chip curvature given constant of material equation looks like with Units.

Here is how the Radius of chip curvature given constant of material equation looks like.

5817.0646 = (\frac{(6.4) - {((12.5) \cdot (0.099))}^{2}}{2 \cdot (0.55)}) + (\frac{0.55}{2})

5817.0646mm = (\frac{(6.4mm) - {((12.5) \cdot (0.099mm))}^{2}}{2 \cdot (0.55mm)}) + (\frac{0.55mm}{2})

5817.0646 = (\frac{(6.4) - {((12.5) \cdot (0.099))}^{2}}{2 \cdot (0.55)}) + (\frac{0.55}{2})

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Radius of chip curvature given constant of material Solution

Follow our step by step solution on how to calculate Radius of chip curvature given constant of material?

FIRST Step Consider the formula

r = (\frac{(l n) - {((K) \cdot (a o))}^{2}}{2 \cdot (h)}) + (\frac{h}{2})

Next Step Substitute values of Variables

∴

r = (\frac{(6.4mm) - {((12.5) \cdot (0.099mm))}^{2}}{2 \cdot (0.55mm)}) + (\frac{0.55mm}{2})

Next Step Convert Units

∴

r = (\frac{(0.0064m) - {((12.5) \cdot (9.9E-5m))}^{2}}{2 \cdot (0.0006m)}) + (\frac{0.0006m}{2})

Next Step Prepare to Evaluate

∴

r = (\frac{(0.0064) - {((12.5) \cdot (9.9E-5))}^{2}}{2 \cdot (0.0006)}) + (\frac{0.0006}{2})

Next Step Evaluate

∴

r = 5.81706463068182m

Next Step Convert to Output's Unit

∴

r = 5817.06463068182mm

LAST Step Rounding Answer

∴

r = 5817.0646mm

Radius of chip curvature given constant of material Formula Elements

Variables

Radius of Chip Curvature

Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Chip Curvature

Chip Breaker Distance

Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.

Symbol: l_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Chip Breaker Distance

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.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Constant

Chip Thickness

Chip Thickness is defined as the actual thickness of the chip after cutting.

Symbol: a_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Chip Thickness

Chip Breaker Height

Chip Breaker Height is defined as the height of the chip breaker on the tool.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Chip Breaker Height

Other Formulas to find Radius of Chip Curvature

Go Radius of Chip curvature

r = \frac{{(l n - l f)}^{2}}{2 \cdot h} + (\frac{h}{2})

Go Radius of Chip curvature when material constant is unity

r = \frac{{(l n - a o)}^{2}}{2 \cdot h} + (\frac{h}{2})

Go Radius of Chip given Chip breaker wedge angle

r = ((l n - l f) - (h \cdot \cot (σ))) \cdot \cot (\frac{σ}{2})

Other formulas in Chip Control category

Go Metal Removal Rate given Specific Cutting Energy

Z w = \frac{P m}{p s}

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

A c = \frac{F c}{p s}

Go Length of Shear Plane of Chip

l s = \frac{a c}{\sin (ϕ)}

Go Undeformed Chip Thickness using Length of Shear Plane of Chip

a c = l s \cdot \sin (ϕ)

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

Radius of chip curvature given constant of material evaluator uses Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2) to evaluate 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 evaluate Radius of chip curvature given constant of material using this online evaluator? To use this online evaluator 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.

FAQs on Radius of chip curvature given constant of material

What is the formula to find Radius of chip curvature given constant of material?

The formula of Radius of chip curvature given constant of material is expressed as Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2). Here is an example- 4.6E+7 = (((0.0064)-((12.5)*(9.9E-05))^2)/(2*(0.00055)))+(0.00055/2).

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

With Chip Breaker Distance (l_n), Material Constant (K), Chip Thickness (a_o) & Chip Breaker Height (h) we can find Radius of chip curvature given constant of material using the formula - Radius of Chip Curvature = (((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2).

What are the other ways to Calculate Radius of Chip Curvature?

Here are the different ways to Calculate Radius of Chip Curvature-

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))

Can the Radius of chip curvature given constant of material be negative?

No, the Radius of chip curvature given constant of material, measured in Length cannot be negative.

Which unit is used to measure Radius of chip curvature given constant of material?

Radius of chip curvature given constant of material is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of chip curvature given constant of material can be measured.

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Radius of chip curvature given constant of material Formula

​GoRadius of Chip curvature Formula

​GoRadius of Chip curvature when material constant is unity Formula

Radius of chip curvature given constant of material Example

Radius of chip curvature given constant of material Solution

Radius of chip curvature given constant of material Formula Elements

Other Formulas to find Radius of Chip Curvature

Other formulas in Chip Control category

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

FAQs on Radius of chip curvature given constant of material

Variable Name

GoRadius of Chip curvature Formula

GoRadius of Chip curvature when material constant is unity Formula