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Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Formula

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The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle. Check FAQs

τ θ = τ \cdot \cos (2 \cdot θ)

τ_θ - Shear Stress on Oblique Plane?τ - Shear Stress?θ - Theta?

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Example

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Here is how the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced equation looks like with Values.

Here is how the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced equation looks like with Units.

Here is how the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced equation looks like.

27.5 = 55 \cdot \cos (2 \cdot 30)

27.5MPa = 55MPa \cdot \cos (2 \cdot 30°)

27.5 = 55 \cdot \cos (2 \cdot 30)

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Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Solution

Follow our step by step solution on how to calculate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

FIRST Step Consider the formula

τ θ = τ \cdot \cos (2 \cdot θ)

Next Step Substitute values of Variables

∴

τ θ = 55MPa \cdot \cos (2 \cdot 30°)

Next Step Convert Units

∴

τ θ = 5.5E+7Pa \cdot \cos (2 \cdot 0.5236rad)

Next Step Prepare to Evaluate

∴

τ θ = 5.5E+7 \cdot \cos (2 \cdot 0.5236)

Next Step Evaluate

∴

τ θ = 27500000.0000094Pa

Next Step Convert to Output's Unit

∴

τ θ = 27.5000000000094MPa

LAST Step Rounding Answer

∴

τ θ = 27.5MPa

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Formula Elements

Variables

Functions

Shear Stress on Oblique Plane

The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.

Symbol: τ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress on Oblique Plane

Shear Stress

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Theta

The Theta is the angle subtended by a plane of a body when stress is applied.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Theta

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 Complementary Induced Stress category

Go Normal Stress when Complementary Shear Stresses Induced

σ θ = τ \cdot \sin (2 \cdot θ)

Go Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane

τ = \frac{σ θ}{\sin (2 \cdot θ)}

Go Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced

θ = \frac{a \sin (\frac{σ θ}{τ})}{2}

Go Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane

τ = \frac{τ θ}{\cos (2 \cdot θ)}

How to Evaluate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced evaluator uses Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta) to evaluate the Shear Stress on Oblique Plane, The Shear Stress along Oblique Plane when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the shear stress developed as a result of the action of a pair of complementary shear stresses on the plane. Shear Stress on Oblique Plane is denoted by τ_θ symbol.

How to evaluate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced using this online evaluator? To use this online evaluator for Shear Stress along Oblique Plane when Complementary Shear Stresses Induced, enter Shear Stress (τ) & Theta (θ) and hit the calculate button.

FAQs on Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

What is the formula to find Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

The formula of Shear Stress along Oblique Plane when Complementary Shear Stresses Induced is expressed as Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta). Here is an example- 2.8E-5 = 55000000*cos(2*0.5235987755982).

How to calculate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

With Shear Stress (τ) & Theta (θ) we can find Shear Stress along Oblique Plane when Complementary Shear Stresses Induced using the formula - Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta). This formula also uses Cosine (cos) function(s).

Can the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced be negative?

No, the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced 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 Shear Stress along Oblique Plane when Complementary Shear Stresses Induced can be measured.

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Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Formula

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Example

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Solution

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Formula Elements

Other formulas in Complementary Induced Stress category

How to Evaluate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

FAQs on Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

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