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

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Shear force on job is the force which causes shear deformation to occur in the shear plane. Check FAQs

F shear = 𝜏 shear \cdot A shear

F_shear - Shear Force on Job?𝜏_shear - Shear Stress on Workpiece?A_shear - Area of the Shear Plane?

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

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Here is how the Shear force acting on shear plane for given shear stress and area of shear plane equation looks like with Values.

Here is how the Shear force acting on shear plane for given shear stress and area of shear plane equation looks like with Units.

Here is how the Shear force acting on shear plane for given shear stress and area of shear plane equation looks like.

325 = 13 \cdot 25

325N = 13MPa \cdot 25mm²

325 = 13 \cdot 25

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

Follow our step by step solution on how to calculate Shear force acting on shear plane for given shear stress and area of shear plane?

FIRST Step Consider the formula

F shear = 𝜏 shear \cdot A shear

Next Step Substitute values of Variables

∴

F shear = 13MPa \cdot 25mm²

Next Step Convert Units

∴

F shear = 1.3E+7Pa \cdot 2.5E-5m²

Next Step Prepare to Evaluate

∴

F shear = 1.3E+7 \cdot 2.5E-5

LAST Step Evaluate

∴

F shear = 325N

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

Variables

Shear Force on Job

Shear force on job is the force which causes shear deformation to occur in the shear plane.

Symbol: F_shear

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force on Job

Shear Stress on Workpiece

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.

Symbol: 𝜏_shear

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress on Workpiece

Area of the Shear Plane

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.

Symbol: A_shear

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of the Shear Plane

Other formulas in Forces and Friction category

Go Coefficient of friction for given friction angle

μ = \tan (β o)

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

μ = \frac{F thrust + F c \cdot \tan (α N)}{F c - F thrust \cdot \tan (α N)}

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

β frc = (\arccos (\frac{F s}{R frc})) + α tool - ϕ shr

Go Coefficient of Friction given Forces Normal and along Tool Rake Face

μ = \frac{F fr}{F N}

How to Evaluate 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 evaluator uses Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane to evaluate 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 evaluate Shear force acting on shear plane for given shear stress and area of shear plane using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Shear force acting on shear plane for given shear stress and area of shear plane?

The formula of Shear force acting on shear plane for given shear stress and area of shear plane is expressed as Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane. Here is an example- 325 = 13000000*2.5E-05.

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

With Shear Stress on Workpiece (𝜏_shear) & Area of the Shear Plane (A_shear) we can find Shear force acting on shear plane for given shear stress and area of shear plane using the formula - Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane.

Can the Shear force acting on shear plane for given shear stress and area of shear plane be negative?

Yes, the Shear force acting on shear plane for given shear stress and area of shear plane, measured in Force can be negative.

Which unit is used to measure 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 is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear force acting on shear plane for given shear stress and area of shear plane can be measured.

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