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Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece. Check FAQs
Fs=τ⋅Acsin(ϕ)
Fs - Total Shear Force By Tool?τ - Shear Strength of Material?Ac - Cross Sectional Area of Uncut Chip?ϕ - Shear Angle?

Shear Force on Shear Plane using Shear Strength Example

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With units
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Here is how the Shear Force on Shear Plane using Shear Strength equation looks like with Values.

Here is how the Shear Force on Shear Plane using Shear Strength equation looks like with Units.

Here is how the Shear Force on Shear Plane using Shear Strength equation looks like.

971.4048Edit=426.9Edit⋅0.45Editsin(11.406Edit)
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Shear Force on Shear Plane using Shear Strength Solution

Follow our step by step solution on how to calculate Shear Force on Shear Plane using Shear Strength?

FIRST Step Consider the formula
Fs=τ⋅Acsin(ϕ)
Next Step Substitute values of Variables
∴ Fs=426.9N/mm²⋅0.45mm²sin(11.406°)
Next Step Convert Units
∴ Fs=4.3E+8Pa⋅4.5E-7m²sin(0.1991rad)
Next Step Prepare to Evaluate
∴ Fs=4.3E+8⋅4.5E-7sin(0.1991)
Next Step Evaluate
∴Fs=971.404767136188N
LAST Step Rounding Answer
∴Fs=971.4048N

Shear Force on Shear Plane using Shear Strength Formula Elements

Variables
Functions
Total Shear Force By Tool
Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.
Symbol: Fs
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Total Shear Force By ToolOpen Variable
Shear Strength of Material
Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.
Symbol: τ
Measurement: PressureUnit: N/mm²
Note: Value should be greater than 0.
Formulas to find Shear Strength of MaterialOpen Variable
Cross Sectional Area of Uncut Chip
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.
Symbol: Ac
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Cross Sectional Area of Uncut ChipOpen Variable
Shear Angle
Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.
Symbol: ϕ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Shear AngleOpen Variable
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.
Syntax: sin(Angle)

Other Formulas to find Total Shear Force By Tool

​Go Total Shear force by tool
Fs=(Fc⋅cos(ϕ))+(Ft⋅sin(ϕ))

Other formulas in Shear category

​Go Cutting Ratio for given Shear Angle of Continuous chip
rc=tan(ϕ)cos(γne)+(tan(ϕ)⋅sin(γne))
​Go Area of Shear
As=Acsin(ϕ)
​Go Shear Force on Shear Plane
Fshear=Fr⋅cos((ϕ+β-γne))
​Go Shear Strength given Coefficient of Friction in Metal Cutting
τ=μ⋅σy

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

Shear Force on Shear Plane using Shear Strength evaluator uses Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle) to evaluate 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 evaluate Shear Force on Shear Plane using Shear Strength using this online evaluator? To use this online evaluator 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.

FAQs on Shear Force on Shear Plane using Shear Strength

What is the formula to find Shear Force on Shear Plane using Shear Strength?
The formula of Shear Force on Shear Plane using Shear Strength is expressed as Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle). Here is an example- 971.4048 = 426900000*4.5E-07/sin(0.199072254482436).
How to calculate Shear Force on Shear Plane using Shear Strength?
With Shear Strength of Material (τ), Cross Sectional Area of Uncut Chip (Ac) & Shear Angle (ϕ) we can find Shear Force on Shear Plane using Shear Strength using the formula - Total Shear Force By Tool = Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Total Shear Force By Tool?
Here are the different ways to Calculate Total Shear Force By Tool-
  • Total Shear Force By Tool=(Cutting Force*cos(Shear Angle))+(Thrust Force*sin(Shear Angle))OpenImg
Can the Shear Force on Shear Plane using Shear Strength be negative?
No, the Shear Force on Shear Plane using Shear Strength, measured in Force cannot be negative.
Which unit is used to measure Shear Force on Shear Plane using Shear Strength?
Shear Force on Shear Plane using Shear Strength is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear Force on Shear Plane using Shear Strength can be measured.
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