Shear Force on Shear Plane using Shear Strength Calculator

✖Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.ⓘ Shear Strength of Material [τ]			+10% -10%
✖The Cross Sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.ⓘ Cross Sectional Area of Uncut Chip [A_c]			+10% -10%
✖Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle [ϕ]			+10% -10%

✖Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.ⓘ Shear Force on Shear Plane using Shear Strength [F_s]

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Shear Force on Shear Plane using Shear Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle)
F_s = τ*A_c/sin(ϕ)
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

Total Shear Force By Tool - (Measured in Newton) - Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.
Shear Strength of Material - (Measured in Pascal) - Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.
Cross Sectional Area of Uncut Chip - (Measured in Square Meter) - The Cross Sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.
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 Strength of Material: 426.9 Newton per Square Millimeter --> 426900000 Pascal (Check conversion here)
Cross Sectional Area of Uncut Chip: 0.45 Square Millimeter --> 4.5E-07 Square Meter (Check conversion here)
Shear Angle: 11.406 Degree --> 0.199072254482436 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = τ*A_c/sin(ϕ) --> 426900000*4.5E-07/sin(0.199072254482436)

Evaluating ... ...

F_s = 971.404767136188

STEP 3: Convert Result to Output's Unit

971.404767136188 Newton --> No Conversion Required

FINAL ANSWER

971.404767136188 ≈ 971.4048 Newton <-- Total Shear Force By Tool

(Calculation completed in 00.020 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Osmania University (OU), Hyderabad

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< Shear Calculators

Cutting Ratio for given Shear Angle of Continuous chip

LaTeX Go Cutting Ratio = tan(Shear Angle)/(cos(Working Normal Rake)+(tan(Shear Angle)*sin(Working Normal Rake)))

Shear Force on Shear Plane

LaTeX Go Shear Force = Resultant Cutting Force*cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake))

Shear Force on Shear Plane using Shear Strength

LaTeX Go Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle)

Area of Shear

LaTeX Go Area of Shear = Cross Sectional Area of Uncut Chip/sin(Shear Angle)

Shear Force on Shear Plane using Shear Strength Formula

LaTeX Go

Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle)
F_s = τ*A_c/sin(ϕ)

What is shear plane in metal cutting?

Orthogonal cutting uses a wedge-shaped tool in which the cutting edge is perpendicular to the direction of cutting speed. Shear plane: As the tool is forced into the material, the chip is formed by shear deformation along a plane called the shear plane, which is oriented at an angle f with the surface of the work.

How to Calculate Shear Force on Shear Plane using Shear Strength?

Shear Force on Shear Plane using Shear Strength calculator uses Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle) to calculate the Total Shear Force By Tool, The shear force on shear plane using shear strength is the force that causes shear deformation to occur in the shear plane. Total Shear Force By Tool is denoted by F_s symbol.

How to calculate Shear Force on Shear Plane using Shear Strength using this online calculator? To use this online calculator for Shear Force on Shear Plane using Shear Strength, enter Shear Strength of Material (τ), Cross Sectional Area of Uncut Chip (A_c) & Shear Angle (ϕ) and hit the calculate button. Here is how the Shear Force on Shear Plane using Shear Strength calculation can be explained with given input values -> 971.4048 = 426900000*4.5E-07/sin(0.199072254482436).

FAQ

What is Shear Force on Shear Plane using Shear Strength?

The shear force on shear plane using shear strength is the force that causes shear deformation to occur in the shear plane and is represented as F_s = τ*A_c/sin(ϕ) or Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle). Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode, The Cross Sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass & Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.

How to calculate Shear Force on Shear Plane using Shear Strength?

The shear force on shear plane using shear strength is the force that causes shear deformation to occur in the shear plane is calculated using Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle). To calculate Shear Force on Shear Plane using Shear Strength, you need Shear Strength of Material (τ), Cross Sectional Area of Uncut Chip (A_c) & Shear Angle (ϕ). With our tool, you need to enter the respective value for Shear Strength of Material, Cross Sectional Area of Uncut Chip & Shear Angle 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 Total Shear Force By Tool?

In this formula, Total Shear Force By Tool uses Shear Strength of Material, Cross Sectional Area of Uncut Chip & Shear Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Shear Force By Tool = (Cutting Force*cos(Shear Angle))+(Thrust Force*sin(Shear Angle))

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