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

GoShear Stress due to Effect of Complementary Shear Stresses and Shear Stress in 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{σ θ}{\sin (2 \cdot θ)}

τ - Shear Stress?σ_θ - Normal Stress on Oblique Plane?θ - Theta?

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

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Here is how the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane equation looks like with Values.

Here is how the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane equation looks like with Units.

Here is how the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane equation looks like.

63.497 = \frac{54.99}{\sin (2 \cdot 30)}

63.497MPa = \frac{54.99MPa}{\sin (2 \cdot 30°)}

63.497 = \frac{54.99}{\sin (2 \cdot 30)}

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

Follow our step by step solution on how to calculate Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

FIRST Step Consider the formula

τ = \frac{σ θ}{\sin (2 \cdot θ)}

Next Step Substitute values of Variables

∴

τ = \frac{54.99MPa}{\sin (2 \cdot 30°)}

Next Step Convert Units

∴

τ = \frac{5.5E+7Pa}{\sin (2 \cdot 0.5236rad)}

Next Step Prepare to Evaluate

∴

τ = \frac{5.5E+7}{\sin (2 \cdot 0.5236)}

Next Step Evaluate

∴

τ = 63496982.6054823Pa

Next Step Convert to Output's Unit

∴

τ = 63.4969826054823MPa

LAST Step Rounding Answer

∴

τ = 63.497MPa

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on 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

Normal Stress on Oblique Plane

Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Normal 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Shear Stress

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

τ = \frac{τ θ}{\cos (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 Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane evaluator uses Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta) to evaluate the Shear Stress, The Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane formula is defined as the magnitude of shear stress generated due to the combined effect of complementary shear stresses and normal stress on a member plane. Shear Stress is denoted by τ symbol.

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

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

What is the formula to find Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

The formula of Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane is expressed as Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta). Here is an example- 6.4E-5 = 54990000/sin(2*0.5235987755982).

How to calculate Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

With Normal Stress on Oblique Plane (σ_θ) & Theta (θ) we can find Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane using the formula - Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

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

Can the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane be negative?

No, the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on 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 Induced Complementary Shear Stresses and Normal Stress on Oblique Plane can be measured.

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