Cutting Shear Force given Uncut Chip Thickness and Shear Angle Calculator

✖Shear stress induced on job force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress Induced on Job [τ_shr]			+10% -10%
✖Thickness of cut can be defined as the thickness at which the tool cuts into the workpiece.ⓘ Thickness of Cut [w_cut]			+10% -10%
✖Uncut Chip Thickness is the thickness of the undeformed chip.ⓘ Uncut Chip Thickness [t_chip]			+10% -10%
✖Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle in Machining [ϕ]			+10% -10%

✖Shear force in machining is the force which causes shear deformation to occur in the shear plane in metal cutting.ⓘ Cutting Shear Force given Uncut Chip Thickness and Shear Angle [F_s]

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Formula

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Cutting Shear Force given Uncut Chip Thickness and Shear Angle

Formula

`"F"_{"s"} = ("τ"_{"shr"}*"w"_{"cut"}*"t"_{"chip"})/sin("ϕ")`

Example

`"95.03515N"=("14MPa"*"4mm"*"1.20mm")/sin("45°")`

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Cutting Shear Force given Uncut Chip Thickness and Shear Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining)
F_s = (τ_shr*w_cut*t_chip)/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 in Machining - (Measured in Newton) - Shear force in machining is the force which causes shear deformation to occur in the shear plane in metal cutting.
Shear Stress Induced on Job - (Measured in Pascal) - Shear stress induced on job force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Thickness of Cut - (Measured in Meter) - Thickness of cut can be defined as the thickness at which the tool cuts into the workpiece.
Uncut Chip Thickness - (Measured in Meter) - Uncut Chip Thickness is the thickness of the undeformed chip.
Shear Angle in Machining - (Measured in Radian) - Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point.

STEP 1: Convert Input(s) to Base Unit

Shear Stress Induced on Job: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Thickness of Cut: 4 Millimeter --> 0.004 Meter (Check conversion here)
Uncut Chip Thickness: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
Shear Angle in Machining: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (τ_shr*w_cut*t_chip)/sin(ϕ) --> (14000000*0.004*0.0012)/sin(0.785398163397301)

Evaluating ... ...

F_s = 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 in Machining

(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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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 Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining)))

Shear angle for given Resultant force, force along shear force, friction, and normal rake angles

Go Shear Angle in Machining = Rake Angle in Machining-Friction Angle in Machining+(arccos(Force Along Shear Plane in Machining/Resultant Force in Machining))

Cutting Shear Force given Uncut Chip Thickness and Shear Angle

Go Shear Force in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining)

Force normal to shear force for given mean normal shear stress and area of shear plane

Go Normal Force Induced on Job = Shear Stress*Shear Area

Cutting Shear Force given Uncut Chip Thickness and Shear Angle Formula

Shear Force in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining)
F_s = (τ_shr*w_cut*t_chip)/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 in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining) to calculate the Shear Force in Machining, 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 in Machining is denoted by F_s 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 Induced on Job (τ_shr), Thickness of Cut (w_cut), Uncut Chip Thickness (t_chip) & Shear Angle in Machining (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 F_s = (τ_shr*w_cut*t_chip)/sin(ϕ) or Shear Force in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining). Shear stress induced on job force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Thickness of cut can be defined as the thickness at which the tool cuts into the workpiece, Uncut Chip Thickness is the thickness of the undeformed chip & Shear angle in machining 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 in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining). To calculate Cutting Shear Force given Uncut Chip Thickness and Shear Angle, you need Shear Stress Induced on Job (τ_shr), Thickness of Cut (w_cut), Uncut Chip Thickness (t_chip) & Shear Angle in Machining (ϕ). With our tool, you need to enter the respective value for Shear Stress Induced on Job, Thickness of Cut, Uncut Chip Thickness & Shear Angle in Machining 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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