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Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece. Check FAQs
Fs=(Fc⋅cos(ϕ))+(Ft⋅sin(ϕ))
Fs - Total Shear Force By Tool?Fc - Cutting Force?ϕ - Shear Angle?Ft - Thrust Force?

Total Shear force by tool Example

With values
With units
Only example

Here is how the Total Shear force by tool equation looks like with Values.

Here is how the Total Shear force by tool equation looks like with Units.

Here is how the Total Shear force by tool equation looks like.

972.1977Edit=(901Edit⋅cos(11.406Edit))+(450Edit⋅sin(11.406Edit))
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Total Shear force by tool Solution

Follow our step by step solution on how to calculate Total Shear force by tool?

FIRST Step Consider the formula
Fs=(Fc⋅cos(ϕ))+(Ft⋅sin(ϕ))
Next Step Substitute values of Variables
∴ Fs=(901N⋅cos(11.406°))+(450N⋅sin(11.406°))
Next Step Convert Units
∴ Fs=(901N⋅cos(0.1991rad))+(450N⋅sin(0.1991rad))
Next Step Prepare to Evaluate
∴ Fs=(901⋅cos(0.1991))+(450⋅sin(0.1991))
Next Step Evaluate
∴Fs=972.197670900927N
LAST Step Rounding Answer
∴Fs=972.1977N

Total Shear force by tool 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
Cutting Force
Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Symbol: Fc
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Cutting ForceOpen 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
Thrust Force
Thrust Force is in the radial direction, i.e., in the direction perpendicular to the generated surface. It may be considered due to the reaction between the tool and the workpiece.
Symbol: Ft
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Thrust ForceOpen 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)
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Total Shear Force By Tool

​Go Shear Force on Shear Plane using Shear Strength
Fs=τ⋅Acsin(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 Total Shear force by tool?

Total Shear force by tool evaluator uses Total Shear Force By Tool = (Cutting Force*cos(Shear Angle))+(Thrust Force*sin(Shear Angle)) to evaluate the Total Shear Force By Tool, Total Shear force by tool is the actual resultant shear force applied by the tool to the workpiece. Total Shear Force By Tool is denoted by Fs symbol.

How to evaluate Total Shear force by tool using this online evaluator? To use this online evaluator for Total Shear force by tool, enter Cutting Force (Fc), Shear Angle (ϕ) & Thrust Force (Ft) and hit the calculate button.

FAQs on Total Shear force by tool

What is the formula to find Total Shear force by tool?
The formula of Total Shear force by tool is expressed as Total Shear Force By Tool = (Cutting Force*cos(Shear Angle))+(Thrust Force*sin(Shear Angle)). Here is an example- 972.1977 = (901*cos(0.199072254482436))+(450*sin(0.199072254482436)).
How to calculate Total Shear force by tool?
With Cutting Force (Fc), Shear Angle (ϕ) & Thrust Force (Ft) we can find Total Shear force by tool using the formula - Total Shear Force By Tool = (Cutting Force*cos(Shear Angle))+(Thrust Force*sin(Shear Angle)). This formula also uses Sine (sin), Cosine (cos) 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=Shear Strength of Material*Cross Sectional Area of Uncut Chip/sin(Shear Angle)OpenImg
Can the Total Shear force by tool be negative?
No, the Total Shear force by tool, measured in Force cannot be negative.
Which unit is used to measure Total Shear force by tool?
Total Shear force by tool is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Shear force by tool can be measured.
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