Mean normal stress in shear plane for given normal force and shear area Calculator

✖Normal force induced on workpiece is the force which is normal to the shear force.ⓘ Normal Force Induced on Workpiece [F_n]			+10% -10%
✖Shear area on workpiece represents the area of the cross section that is effective in resisting shear deformation.ⓘ Shear Area on Workpiece [A_shear]			+10% -10%

✖Normal stress on workpiece is stress that occurs when a member is loaded by an axial force.ⓘ Mean normal stress in shear plane for given normal force and shear area [σ_n]

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Formula

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Mean normal stress in shear plane for given normal force and shear area

Formula

`"σ"_{"n"} = "F"_{"n"}/"A"_{"shear"}`

Example

`"1.500002MPa"="36.6482N"/"24.4321mm²"`

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Mean normal stress in shear plane for given normal force and shear area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece
σ_n = F_n/A_shear
This formula uses 3 Variables

Variables Used

Normal Stress on Workpiece - (Measured in Pascal) - Normal stress on workpiece is stress that occurs when a member is loaded by an axial force.
Normal Force Induced on Workpiece - (Measured in Newton) - Normal force induced on workpiece is the force which is normal to the shear force.
Shear Area on Workpiece - (Measured in Square Meter) - Shear area on workpiece represents the area of the cross section that is effective in resisting shear deformation.

STEP 1: Convert Input(s) to Base Unit

Normal Force Induced on Workpiece: 36.6482 Newton --> 36.6482 Newton No Conversion Required
Shear Area on Workpiece: 24.4321 Square Millimeter --> 2.44321E-05 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_n = F_n/A_shear --> 36.6482/2.44321E-05

Evaluating ... ...

σ_n = 1500002.04648802

STEP 3: Convert Result to Output's Unit

1500002.04648802 Pascal -->1.50000204648802 Megapascal (Check conversion here)

FINAL ANSWER

1.50000204648802 ≈ 1.500002 Megapascal <-- Normal Stress on Workpiece

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Resultants and Stress » Mean normal stress in shear plane for given normal force and shear area

Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ 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 Resultants and Stress Calculators

Shear stress given cutting force, cut size, uncut chip thickness, friction, rake and shear angles

Go Average Shear Stress Induced on Shear Plane = Cutting Force on Workpiece*(cos(Shear Angle for Metal Cutting+Machining Friction Angle-Cutting Tool Rake Angle))/((Cutting Thickness*Uncut Chip Width)*cos(Machining Friction Angle-Cutting Tool Rake Angle))

Force acting Normal to Rake Face given Cutting Force and Thrust Force

Go Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool))

Normal rake angle for given Resultant force, force along shear, shear, and friction angle

Go Cutting Tool Rake Angle = Shear Angle for Metal Cutting+Machining Friction Angle-(arccos(Force Produced Along Shear Plane/Resultant Force on Workpiece))

R in merchant circle for given force along shear force, shear, friction and normal rake angles

Go Resultant Force on Workpiece = (Force Produced Along Shear Plane)*(sec(Shear Angle for Metal Cutting+Machining Friction Angle-Cutting Tool Rake Angle))

Resultant force in merchant circle for given cutting force, friction and normal rake angles

Go Resultant Force on Workpiece = Cutting Force on Workpiece*(sec(Machining Friction Angle-Cutting Tool Rake Angle))

Mean normal stress in shear plane for given normal force and shear area

Go Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece

Mean normal stress in shear plane for given normal force and shear area Formula

Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece
σ_n = F_n/A_shear

What is mean normal atress?

The Mean normal stress in shear plane for given normal force & shear area is the normal force acting per unit shear area

How to Calculate Mean normal stress in shear plane for given normal force and shear area?

Mean normal stress in shear plane for given normal force and shear area calculator uses Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece to calculate the Normal Stress on Workpiece, The Mean normal stress in shear plane for given normal force and shear area is the normal force acting per unit shear area. Normal Stress on Workpiece is denoted by σ_n symbol.

How to calculate Mean normal stress in shear plane for given normal force and shear area using this online calculator? To use this online calculator for Mean normal stress in shear plane for given normal force and shear area, enter Normal Force Induced on Workpiece (F_n) & Shear Area on Workpiece (A_shear) and hit the calculate button. Here is how the Mean normal stress in shear plane for given normal force and shear area calculation can be explained with given input values -> 1.5E-6 = 36.6482/2.44321E-05.

FAQ

What is Mean normal stress in shear plane for given normal force and shear area?

The Mean normal stress in shear plane for given normal force and shear area is the normal force acting per unit shear area and is represented as σ_n = F_n/A_shear or Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece. Normal force induced on workpiece is the force which is normal to the shear force & Shear area on workpiece represents the area of the cross section that is effective in resisting shear deformation.

How to calculate Mean normal stress in shear plane for given normal force and shear area?

The Mean normal stress in shear plane for given normal force and shear area is the normal force acting per unit shear area is calculated using Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece. To calculate Mean normal stress in shear plane for given normal force and shear area, you need Normal Force Induced on Workpiece (F_n) & Shear Area on Workpiece (A_shear). With our tool, you need to enter the respective value for Normal Force Induced on Workpiece & Shear Area on Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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