Shear force acting on shear plane for given shear stress and area of shear plane Calculator

✖Shear stress on workpiece is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress on Workpiece [𝜏_shear]			+10% -10%
✖Area of the shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material.ⓘ Area of the Shear Plane [A_shear]			+10% -10%

✖Shear force on job is the force which causes shear deformation to occur in the shear plane.ⓘ Shear force acting on shear plane for given shear stress and area of shear plane [F_Shear]

⎘ Copy

👎

Formula

✖

Shear force acting on shear plane for given shear stress and area of shear plane

Formula

`"F"_{"Shear"} = "𝜏"_{"shear"}*"A"_{"shear"}`

Example

`"325N"="13MPa"*"25mm²"`

Calculator

LaTeX

Reset

👍

Download Metal Cutting Formula PDF PDF Image

Shear force acting on shear plane for given shear stress and area of shear plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane
F_Shear = 𝜏_shear*A_shear
This formula uses 3 Variables

Variables Used

Shear Force on Job - (Measured in Newton) - Shear force on job is the force which causes shear deformation to occur in the shear plane.
Shear Stress on Workpiece - (Measured in Pascal) - Shear stress on workpiece is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Area of the Shear Plane - (Measured in Square Meter) - Area of the shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material.

STEP 1: Convert Input(s) to Base Unit

Shear Stress on Workpiece: 13 Megapascal --> 13000000 Pascal (Check conversion here)
Area of the Shear Plane: 25 Square Millimeter --> 2.5E-05 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_Shear = 𝜏_shear*A_shear --> 13000000*2.5E-05

Evaluating ... ...

F_Shear = 325

STEP 3: Convert Result to Output's Unit

325 Newton --> No Conversion Required

FINAL ANSWER

325 Newton <-- Shear Force on Job

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Forces and Friction » Shear force acting on shear plane for given shear stress and area of shear plane

Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 6 Forces and Friction Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle

Go Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

Go Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

Go Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining

Shear force acting on shear plane for given shear stress and area of shear plane

Go Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane

Coefficient of Friction given Forces Normal and along Tool Rake Face

Go Coefficient of Friction = Force of Friction/Normal Force on Workpiece

Coefficient of friction for given friction angle

Go Coefficient of Friction = tan(Angle of Friction)

Shear force acting on shear plane for given shear stress and area of shear plane Formula

Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane
F_Shear = 𝜏_shear*A_shear

What is shear force?

Shear force is a force acting in a direction parallel to a surface or to a planar cross-section of a body.

How to Calculate Shear force acting on shear plane for given shear stress and area of shear plane?

Shear force acting on shear plane for given shear stress and area of shear plane calculator uses Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane to calculate the Shear Force on Job, The Shear force acting on shear plane for given shear stress and area of shear plane is the product of Average shear stress in the shear plane and area of shear plane. Shear Force on Job is denoted by F_Shear symbol.

How to calculate Shear force acting on shear plane for given shear stress and area of shear plane using this online calculator? To use this online calculator for Shear force acting on shear plane for given shear stress and area of shear plane, enter Shear Stress on Workpiece (𝜏_shear) & Area of the Shear Plane (A_shear) and hit the calculate button. Here is how the Shear force acting on shear plane for given shear stress and area of shear plane calculation can be explained with given input values -> 325 = 13000000*2.5E-05.

FAQ

What is Shear force acting on shear plane for given shear stress and area of shear plane?

The Shear force acting on shear plane for given shear stress and area of shear plane is the product of Average shear stress in the shear plane and area of shear plane and is represented as F_Shear = 𝜏_shear*A_shear or Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane. Shear stress on workpiece is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Area of the shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material.

How to calculate Shear force acting on shear plane for given shear stress and area of shear plane?

The Shear force acting on shear plane for given shear stress and area of shear plane is the product of Average shear stress in the shear plane and area of shear plane is calculated using Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane. To calculate Shear force acting on shear plane for given shear stress and area of shear plane, you need Shear Stress on Workpiece (𝜏_shear) & Area of the Shear Plane (A_shear). With our tool, you need to enter the respective value for Shear Stress on Workpiece & Area of the Shear Plane and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search