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

STEP 0: Pre-Calculation Summary
Formula Used
Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
w = (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
Width of cut - (Measured in Meter) - The width of cut is 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.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
Uncut Chip Thickness - (Measured in Meter) - Uncut Chip Thickness is the thickness of the undeformed chip.
STEP 1: Convert Input(s) to Base Unit
Area of Shear Plane: 9 Square Meter --> 9 Square Meter No Conversion Required
Shear angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Uncut Chip Thickness: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = (AS*sin(ϕ))/t1 --> (9*sin(0.785398163397301))/0.0012
Evaluating ... ...
w = 5303.30085889832
STEP 3: Convert Result to Output's Unit
5303.30085889832 Meter -->5303300.85889832 Millimeter (Check conversion here)
FINAL ANSWER
5303300.85889832 5.3E+6 Millimeter <-- Width of cut
(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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8 Geometry and Dimensions Calculators

Uncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles
Go Uncut Chip Thickness = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Width of cut*Average Shear Stress on Shear Plane*cos(Friction Angle-Rake Angle))
Width of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles
Go Width of cut = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Average Shear Stress on Shear Plane*Uncut Chip Thickness*cos(Friction Angle-Rake Angle))
Area of shear plane for given shear angle, width of cut and uncut chip thickness
Go Area of Shear Plane = (Uncut Chip Thickness*Width of cut)/sin(Shear angle)
Uncut chip thickness for given width of cut, shear angle and area of shear plane
Go Uncut Chip Thickness = (Area of Shear Plane*sin(Shear angle))/Width of cut
Width of cut for given shear angle, uncut chip thickness and area of shear plane
Go Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
Shear angle for given area of shear plane, width of cut and uncut chip thickness
Go Shear angle = asin(Width of cut*Uncut Chip Thickness/Area of Shear Plane)
Side cutting edge angle for given width of cut
Go Side Cutting Edge Angle = acos(Width of cut/Depth of Cut)
Width of cut for given side cutting edge angle
Go Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)

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

Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
w = (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 Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness to calculate the Width of cut, 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. Width of cut is denoted by w 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), Shear angle (ϕ) & Uncut Chip Thickness (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 -> 5.3E+9 = (9*sin(0.785398163397301))/0.0012.

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 w = (AS*sin(ϕ))/t1 or Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness. 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, Shear angle is the inclination of the shear plane with the horizontal axis at machining point & Uncut Chip Thickness is 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 Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness. To calculate Width of cut for given shear angle, uncut chip thickness and area of shear plane, you need Area of Shear Plane (AS), Shear angle (ϕ) & Uncut Chip Thickness (t1). With our tool, you need to enter the respective value for Area of Shear Plane, Shear angle & Uncut Chip Thickness 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 Width of cut?
In this formula, Width of cut uses Area of Shear Plane, Shear angle & Uncut Chip Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)
  • Width of cut = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Average Shear Stress on Shear Plane*Uncut Chip Thickness*cos(Friction Angle-Rake Angle))
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