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)
Fs = τ*Ac/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
Fs = τ*Ac/sin(ϕ) --> 426900000*4.5E-07/sin(0.199072254482436)
Evaluating ... ...
Fs = 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 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

7 Shear Calculators

Shear Angle of Continuous Chip Formation
Go Shear angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake))))
Total Shear force by tool
Go Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle))
Shear Force on Shear Plane
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
Go Total Shear Force by Tool = Shear Strength of Material*Cross-sectional Area of Uncut Chip/sin(Shear angle)
Shear Strength given Coefficient of Friction in Metal Cutting
Go Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material
Shear Strength of Material given Total Frictional force in metal cutting
Go Shear Strength of Material = Total Frictional Force by Tool/Area of Contact
Shear Strength of Material on Shear Plane
Go Shear Strength of Material = Total Shear Force by Tool/Area of Shear

Shear Force on Shear Plane using Shear Strength Formula

Total Shear Force by Tool = Shear Strength of Material*Cross-sectional Area of Uncut Chip/sin(Shear angle)
Fs = τ*Ac/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 Fs 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 (Ac) & 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 Fs = τ*Ac/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 (Ac) & 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!