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

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

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

τ = \frac{τ θ}{\cos (2 \cdot θ)}

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

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

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Here is how the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane equation looks like with Values.

Here is how the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane equation looks like with Units.

Here is how the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane equation looks like.

56.29 = \frac{28.145}{\cos (2 \cdot 30)}

56.29MPa = \frac{28.145MPa}{\cos (2 \cdot 30°)}

56.29 = \frac{28.145}{\cos (2 \cdot 30)}

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Strength of Materials » fx Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane

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

Follow our step by step solution on how to calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

FIRST Step Consider the formula

τ = \frac{τ θ}{\cos (2 \cdot θ)}

Next Step Substitute values of Variables

∴

τ = \frac{28.145MPa}{\cos (2 \cdot 30°)}

Next Step Convert Units

∴

τ = \frac{2.8E+7Pa}{\cos (2 \cdot 0.5236rad)}

Next Step Prepare to Evaluate

∴

τ = \frac{2.8E+7}{\cos (2 \cdot 0.5236)}

Next Step Evaluate

∴

τ = 56289999.9999807Pa

Next Step Convert to Output's Unit

∴

τ = 56.2899999999807MPa

LAST Step Rounding Answer

∴

τ = 56.29MPa

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

Variables

Functions

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

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

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 to find Shear Stress

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

τ = \frac{σ θ}{\sin (2 \cdot θ)}

Other formulas in Complementary Induced Stress category

Go Normal Stress when Complementary Shear Stresses Induced

σ θ = τ \cdot \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 along Oblique Plane when Complementary Shear Stresses Induced

τ θ = τ \cdot \cos (2 \cdot θ)

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

θ = 0.5 \cdot \arccos (\frac{τ θ}{τ})

How to Evaluate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane evaluator uses Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta) to evaluate the Shear Stress, The Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane formula is defined as calculating the magnitude of shear stress that is generated on a plane as a result of the application of the combination of stresses. Shear Stress is denoted by τ symbol.

How to evaluate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane using this online evaluator? To use this online evaluator for Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane, enter Shear Stress on Oblique Plane (τ_θ) & Theta (θ) and hit the calculate button.

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

What is the formula to find Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

The formula of Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane is expressed as Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta). Here is an example- 5.6E-5 = 28145000/cos(2*0.5235987755982).

How to calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

With Shear Stress on Oblique Plane (τ_θ) & Theta (θ) we can find Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane using the formula - Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

Shear Stress=Normal Stress on Oblique Plane/sin(2*Theta)

Can the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane be negative?

No, the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane 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 due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane can be measured.

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

​GoShear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane Formula

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

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

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

Other Formulas to find Shear Stress

Other formulas in Complementary Induced Stress category

How to Evaluate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

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

Variable Name

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