Cutting Shear Force given Uncut Chip Thickness and Shear Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle)
Fs = (fs*w*t1)/sin(ϕ)
This formula uses 1 Functions, 5 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
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Shear Stress in Bolt - (Measured in Pascal) - Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Width of cut - (Measured in Meter) - The width of cut is defined as the width the tool cuts into the workpiece.
Uncut Chip Thickness - (Measured in Meter) - Uncut Chip Thickness is the thickness of the undeformed chip.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Bolt: 14 Newton per Square Millimeter --> 14000000 Pascal (Check conversion here)
Width of cut: 4 Millimeter --> 0.004 Meter (Check conversion here)
Uncut Chip Thickness: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
Shear angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fs = (fs*w*t1)/sin(ϕ) --> (14000000*0.004*0.0012)/sin(0.785398163397301)
Evaluating ... ...
Fs = 95.035151391486
STEP 3: Convert Result to Output's Unit
95.035151391486 Newton --> No Conversion Required
FINAL ANSWER
95.035151391486 95.03515 Newton <-- Shear Force
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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4 Force Normal to Shear Calculators

Force normal to shear force for given cutting force, thrust force, and shear angle
Go Normal Force = (Cutting Force*(sin(Shear angle)))+(Axial Thrust*(cos(Shear angle)))
Shear angle for given Resultant force, force along shear force, friction, and normal rake angles
Go Shear angle = Rake Angle-Friction Angle+(arccos(Resultant Force/Force along shear plane))
Cutting Shear Force given Uncut Chip Thickness and Shear Angle
Go Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle)
Force normal to shear force for given mean normal shear stress and area of shear plane
Go Normal Force = Shear Stress*Shear Area

Cutting Shear Force given Uncut Chip Thickness and Shear Angle Formula

Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle)
Fs = (fs*w*t1)/sin(ϕ)

What is the importance of increasing shear angle?

If all other factors remain the same, a higher shear angle results in a smaller shear plane area. Since the shear strength is applied across this area, the shear force required to form the chip will decrease when the shear plane area is decreased. This tends to make machining easier to perform and also lower cutting energy and cutting temperature.

How to Calculate Cutting Shear Force given Uncut Chip Thickness and Shear Angle?

Cutting Shear Force given Uncut Chip Thickness and Shear Angle calculator uses Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle) to calculate the Shear Force, Cutting Shear Force given Uncut Chip Thickness and Shear Angle is the force which causes shear deformation to occur in the shear plane. Shear Force is denoted by Fs symbol.

How to calculate Cutting Shear Force given Uncut Chip Thickness and Shear Angle using this online calculator? To use this online calculator for Cutting Shear Force given Uncut Chip Thickness and Shear Angle, enter Shear Stress in Bolt (fs), Width of cut (w), Uncut Chip Thickness (t1) & Shear angle (ϕ) and hit the calculate button. Here is how the Cutting Shear Force given Uncut Chip Thickness and Shear Angle calculation can be explained with given input values -> 95.03515 = (14000000*0.004*0.0012)/sin(0.785398163397301).

FAQ

What is Cutting Shear Force given Uncut Chip Thickness and Shear Angle?
Cutting Shear Force given Uncut Chip Thickness and Shear Angle is the force which causes shear deformation to occur in the shear plane and is represented as Fs = (fs*w*t1)/sin(ϕ) or Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle). Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The width of cut is defined as the width the tool cuts into the workpiece, Uncut Chip Thickness is the thickness of the undeformed chip & Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
How to calculate Cutting Shear Force given Uncut Chip Thickness and Shear Angle?
Cutting Shear Force given Uncut Chip Thickness and Shear Angle is the force which causes shear deformation to occur in the shear plane is calculated using Shear Force = (Shear Stress in Bolt*Width of cut*Uncut Chip Thickness)/sin(Shear angle). To calculate Cutting Shear Force given Uncut Chip Thickness and Shear Angle, you need Shear Stress in Bolt (fs), Width of cut (w), Uncut Chip Thickness (t1) & Shear angle (ϕ). With our tool, you need to enter the respective value for Shear Stress in Bolt, Width of cut, Uncut Chip Thickness & Shear angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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