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

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Normal stress on workpiece is stress that occurs when a member is loaded by an axial force. Check FAQs

σ n = \frac{F N}{A shear}

σ_n - Normal Stress on Workpiece?F_N - Normal Force Induced on Workpiece?A_shear - Shear Area on Workpiece?

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

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Here is how the Mean normal stress in shear plane for given normal force and shear area equation looks like with Values.

Here is how the Mean normal stress in shear plane for given normal force and shear area equation looks like with Units.

Here is how the Mean normal stress in shear plane for given normal force and shear area equation looks like.

1.5 = \frac{36.6482}{24.4321}

1.5MPa = \frac{36.6482N}{24.4321mm²}

1.5 = \frac{36.6482}{24.4321}

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

Follow our step by step solution on how to calculate Mean normal stress in shear plane for given normal force and shear area?

FIRST Step Consider the formula

σ n = \frac{F N}{A shear}

Next Step Substitute values of Variables

∴

σ n = \frac{36.6482N}{24.4321mm²}

Next Step Convert Units

∴

σ n = \frac{36.6482N}{2.4E-5m²}

Next Step Prepare to Evaluate

∴

σ n = \frac{36.6482}{2.4E-5}

Next Step Evaluate

∴

σ n = 1500002.04648802Pa

Next Step Convert to Output's Unit

∴

σ n = 1.50000204648802MPa

LAST Step Rounding Answer

∴

σ n = 1.5MPa

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

Variables

Normal Stress on Workpiece

Normal stress on workpiece is stress that occurs when a member is loaded by an axial force.

Symbol: σ_n

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress on Workpiece

Normal Force Induced on Workpiece

Normal force induced on workpiece is the force which is normal to the shear force.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force Induced on Workpiece

Shear Area on Workpiece

Shear area on workpiece represents the area of the cross section that is effective in resisting shear deformation.

Symbol: A_shear

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Shear Area on Workpiece

Other formulas in Resultants and Stress category

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

F N = F' c \cdot \cos (α' N) - F' t \cdot \sin (α' N)

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

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

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

R' = F' c \cdot \sec (β' - α')

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

R' = F s \cdot \sec (ϕ' + β' - α')

How to Evaluate 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 evaluator uses Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece to evaluate 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 evaluate Mean normal stress in shear plane for given normal force and shear area using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Mean normal stress in shear plane for given normal force and shear area?

The formula of Mean normal stress in shear plane for given normal force and shear area is expressed as Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece. Here is an example- 1.5E-6 = 36.6482/2.44321E-05.

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

With Normal Force Induced on Workpiece (F_N) & Shear Area on Workpiece (A_shear) we can find Mean normal stress in shear plane for given normal force and shear area using the formula - Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece.

Can the Mean normal stress in shear plane for given normal force and shear area be negative?

No, the Mean normal stress in shear plane for given normal force and shear area, measured in Stress cannot be negative.

Which unit is used to measure 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 is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Mean normal stress in shear plane for given normal force and shear area can be measured.

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