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Resolved shear stress Formula

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Resolved shear stress is the shear component that exists at all but parallel or perpendicular alignments to the stress direction. Check FAQs

𝛕 R = σ \cdot \cos (ϕ) \cdot \cos (λ)

𝛕_R - Resolved shear stress?σ - Applied Stress?ϕ - Slip plane angle?λ - Slip direction angle?

Resolved shear stress Example

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Here is how the Resolved shear stress equation looks like with Values.

Here is how the Resolved shear stress equation looks like with Units.

Here is how the Resolved shear stress equation looks like.

7E-5 = 93.3 \cdot \cos (30) \cdot \cos (30)

7E-5MPa = 93.3Pa \cdot \cos (30°) \cdot \cos (30°)

7E-5 = 93.3 \cdot \cos (30) \cdot \cos (30)

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Resolved shear stress Solution

Follow our step by step solution on how to calculate Resolved shear stress?

FIRST Step Consider the formula

𝛕 R = σ \cdot \cos (ϕ) \cdot \cos (λ)

Next Step Substitute values of Variables

∴

𝛕 R = 93.3Pa \cdot \cos (30°) \cdot \cos (30°)

Next Step Convert Units

∴

𝛕 R = 93.3Pa \cdot \cos (0.5236rad) \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

𝛕 R = 93.3 \cdot \cos (0.5236) \cdot \cos (0.5236)

Next Step Evaluate

∴

𝛕 R = 69.975Pa

Next Step Convert to Output's Unit

∴

𝛕 R = 6.9975E-05MPa

LAST Step Rounding Answer

∴

𝛕 R = 7E-5MPa

Resolved shear stress Formula Elements

Variables

Functions

Resolved shear stress

Resolved shear stress is the shear component that exists at all but parallel or perpendicular alignments to the stress direction.

Symbol: 𝛕_R

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Resolved shear stress

Applied Stress

Applied stress is denoted by the symbol σ.

Symbol: σ

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Applied Stress

Slip plane angle

Slip plane angle is the angle between the normal to the slip plane and the applied stress direction.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Slip plane angle

Slip direction angle

Slip direction angle is the angle between the slip and stress directions.

Symbol: λ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Slip direction 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 in Stress and Strain category

Go Engineering stress

σ = \frac{W load}{A 0}

Go Engineering strain

𝜀 = \frac{l i - L 0}{L 0}

Go True strain

ϵ T = \ln (\frac{l i}{L 0})

Go True stress

σ T = σ \cdot (1 + 𝜀)

How to Evaluate Resolved shear stress?

Resolved shear stress evaluator uses Resolved shear stress = Applied Stress*cos(Slip plane angle)*cos(Slip direction angle) to evaluate the Resolved shear stress, Resolved shear stress is the shear component that exists at all but parallel or perpendicular alignments to the stress direction. Resolved shear stress is denoted by 𝛕_R symbol.

How to evaluate Resolved shear stress using this online evaluator? To use this online evaluator for Resolved shear stress, enter Applied Stress (σ), Slip plane angle (ϕ) & Slip direction angle (λ) and hit the calculate button.

FAQs on Resolved shear stress

What is the formula to find Resolved shear stress?

The formula of Resolved shear stress is expressed as Resolved shear stress = Applied Stress*cos(Slip plane angle)*cos(Slip direction angle). Here is an example- 7E-11 = 93.3*cos(0.5235987755982)*cos(0.5235987755982).

How to calculate Resolved shear stress?

With Applied Stress (σ), Slip plane angle (ϕ) & Slip direction angle (λ) we can find Resolved shear stress using the formula - Resolved shear stress = Applied Stress*cos(Slip plane angle)*cos(Slip direction angle). This formula also uses Cosine (cos) function(s).

Can the Resolved shear stress be negative?

Yes, the Resolved shear stress, measured in Pressure can be negative.

Which unit is used to measure Resolved shear stress?

Resolved shear stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Resolved shear stress can be measured.

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Resolved shear stress Formula

Resolved shear stress Example

Resolved shear stress Solution

Resolved shear stress Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Resolved shear stress?

FAQs on Resolved shear stress

Variable Name