Width of cut for given shear angle, uncut chip thickness and area of shear plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining
wc = (As*sin(ϕ))/t1
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Cutting Width - (Measured in Meter) - Cutting Width can be defined as the width the tool cuts into the workpiece.
Area of Shear Plane - (Measured in Square Meter) - Area of shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material.
Shearing Angle - (Measured in Radian) - Shearing angle between is the inclination of the shear plane with the horizontal axis at machining point.
Uncut Chip Thickness in Machining - (Measured in Meter) - Uncut chip thickness in machining can be referred as the thickness of the undeformed chip.
STEP 1: Convert Input(s) to Base Unit
Area of Shear Plane: 733.764 Square Millimeter --> 0.000733764 Square Meter (Check conversion ​here)
Shearing Angle: 5.257 Degree --> 0.0917519587773246 Radian (Check conversion ​here)
Uncut Chip Thickness in Machining: 6.94 Millimeter --> 0.00694 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wc = (As*sin(ϕ))/t1 --> (0.000733764*sin(0.0917519587773246))/0.00694
Evaluating ... ...
wc = 0.00968730019128422
STEP 3: Convert Result to Output's Unit
0.00968730019128422 Meter -->9.68730019128422 Millimeter (Check conversion ​here)
FINAL ANSWER
9.68730019128422 9.6873 Millimeter <-- Cutting Width
(Calculation completed in 00.004 seconds)

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Geometry and Dimensions Calculators

Area of shear plane for given shear angle, width of cut and uncut chip thickness
​ LaTeX ​ Go Area of Shear Plane = (Uncut Chip Thickness in Machining*Cutting Width)/sin(Shearing Angle)
Uncut chip thickness for given width of cut, shear angle and area of shear plane
​ LaTeX ​ Go Uncut Chip Thickness in Machining = (Area of Shear Plane*sin(Shearing Angle))/Cutting Width
Width of cut for given shear angle, uncut chip thickness and area of shear plane
​ LaTeX ​ Go Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining
Shear angle for given area of shear plane, width of cut and uncut chip thickness
​ LaTeX ​ Go Shearing Angle = asin(Cutting Width*Uncut Chip Thickness in Machining/Area of Shear Plane)

Width of cut for given shear angle, uncut chip thickness and area of shear plane Formula

​LaTeX ​Go
Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining
wc = (As*sin(ϕ))/t1

What is the metal cutting?

Metal cutting is the process of removing unwanted material in the form of chips, from a block of metal, using the cutting tool.

How to Calculate Width of cut for given shear angle, uncut chip thickness and area of shear plane?

Width of cut for given shear angle, uncut chip thickness and area of shear plane calculator uses Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining to calculate the Cutting Width, The Width of cut for given shear angle, uncut chip thickness and area of shear plane is defined as the width the tool cuts into the workpiece. Cutting Width is denoted by wc symbol.

How to calculate Width of cut for given shear angle, uncut chip thickness and area of shear plane using this online calculator? To use this online calculator for Width of cut for given shear angle, uncut chip thickness and area of shear plane, enter Area of Shear Plane (As), Shearing Angle (ϕ) & Uncut Chip Thickness in Machining (t1) and hit the calculate button. Here is how the Width of cut for given shear angle, uncut chip thickness and area of shear plane calculation can be explained with given input values -> 9687.3 = (0.000733764*sin(0.0917519587773246))/0.00694.

FAQ

What is Width of cut for given shear angle, uncut chip thickness and area of shear plane?
The Width of cut for given shear angle, uncut chip thickness and area of shear plane is defined as the width the tool cuts into the workpiece and is represented as wc = (As*sin(ϕ))/t1 or Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining. Area of shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material, Shearing angle between is the inclination of the shear plane with the horizontal axis at machining point & Uncut chip thickness in machining can be referred as the thickness of the undeformed chip.
How to calculate Width of cut for given shear angle, uncut chip thickness and area of shear plane?
The Width of cut for given shear angle, uncut chip thickness and area of shear plane is defined as the width the tool cuts into the workpiece is calculated using Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining. To calculate Width of cut for given shear angle, uncut chip thickness and area of shear plane, you need Area of Shear Plane (As), Shearing Angle (ϕ) & Uncut Chip Thickness in Machining (t1). With our tool, you need to enter the respective value for Area of Shear Plane, Shearing Angle & Uncut Chip Thickness in Machining 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 Cutting Width?
In this formula, Cutting Width uses Area of Shear Plane, Shearing Angle & Uncut Chip Thickness in Machining. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting)
  • Cutting Width = Cutting Force in Metal Cutting*(cos(Shearing Angle+Cutting Friction Angle-Rake Angle of Cutting Tool))/(Average Shear Stress Produced on Shear Plane*Uncut Chip Thickness in Machining*cos(Cutting Friction Angle-Rake Angle of Cutting Tool))
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