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

GoAngle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced Formula

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

θ = \frac{a \sin (\frac{σ θ}{τ})}{2}

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

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

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Here is how the Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced equation looks like with Values.

Here is how the Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced equation looks like with Units.

Here is how the Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced equation looks like.

44.4537 = \frac{a \sin (\frac{54.99}{55})}{2}

44.4537° = \frac{a \sin (\frac{54.99MPa}{55MPa})}{2}

44.4537 = \frac{a \sin (\frac{54.99}{55})}{2}

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

Follow our step by step solution on how to calculate Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced?

FIRST Step Consider the formula

θ = \frac{a \sin (\frac{σ θ}{τ})}{2}

Next Step Substitute values of Variables

∴

θ = \frac{a \sin (\frac{54.99MPa}{55MPa})}{2}

Next Step Convert Units

∴

θ = \frac{a \sin (\frac{5.5E+7Pa}{5.5E+7Pa})}{2}

Next Step Prepare to Evaluate

∴

θ = \frac{a \sin (\frac{5.5E+7}{5.5E+7})}{2}

Next Step Evaluate

∴

θ = 0.775863393035054rad

Next Step Convert to Output's Unit

∴

θ = 44.4536978996167°

LAST Step Rounding Answer

∴

θ = 44.4537°

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

Variables

Functions

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

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Theta

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

θ = 0.5 \cdot \arccos (\frac{τ θ}{τ})

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 Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

τ θ = τ \cdot \cos (2 \cdot θ)

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

Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced evaluator uses Theta = (asin(Normal Stress on Oblique Plane/Shear Stress))/2 to evaluate the Theta, The Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced formula is defined as the angle between the vertical and inclination of the plane to the vertical. Theta is denoted by θ symbol.

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

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

What is the formula to find Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced?

The formula of Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced is expressed as Theta = (asin(Normal Stress on Oblique Plane/Shear Stress))/2. Here is an example- 2578.31 = (asin(54990000/55000000))/2.

How to calculate Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced?

With Normal Stress on Oblique Plane (σ_θ) & Shear Stress (τ) we can find Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced using the formula - Theta = (asin(Normal Stress on Oblique Plane/Shear Stress))/2. This formula also uses Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Theta?

Here are the different ways to Calculate Theta-

Theta=0.5*arccos(Shear Stress on Oblique Plane/Shear Stress)

Can the Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced be negative?

No, the Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced, measured in Angle cannot be negative.

Which unit is used to measure Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced?

Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced can be measured.

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