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

GoAngle of Oblique Plane using Normal 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 = 0.5 \cdot \arccos (\frac{τ θ}{τ})

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

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

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

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

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

29.6105 = 0.5 \cdot \arccos (\frac{28.145}{55})

29.6105° = 0.5 \cdot \arccos (\frac{28.145MPa}{55MPa})

29.6105 = 0.5 \cdot \arccos (\frac{28.145}{55})

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

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

FIRST Step Consider the formula

θ = 0.5 \cdot \arccos (\frac{τ θ}{τ})

Next Step Substitute values of Variables

∴

θ = 0.5 \cdot \arccos (\frac{28.145MPa}{55MPa})

Next Step Convert Units

∴

θ = 0.5 \cdot \arccos (\frac{2.8E+7Pa}{5.5E+7Pa})

Next Step Prepare to Evaluate

∴

θ = 0.5 \cdot \arccos (\frac{2.8E+7}{5.5E+7})

Next Step Evaluate

∴

θ = 0.516801144463411rad

Next Step Convert to Output's Unit

∴

θ = 29.6105244252898°

LAST Step Rounding Answer

∴

θ = 29.6105°

Angle of Oblique Plane using Shear 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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

arccos

Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: arccos(Number)

Other Formulas to find Theta

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

θ = \frac{a \sin (\frac{σ θ}{τ})}{2}

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 Shear Stress when Complementary Shear Stresses Induced?

Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced evaluator uses Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress) to evaluate the Theta, The Angle of Oblique Plane using Shear 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 Shear Stress when Complementary Shear Stresses Induced using this online evaluator? To use this online evaluator for Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced, enter Shear Stress on Oblique Plane (τ_θ) & Shear Stress (τ) and hit the calculate button.

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

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

The formula of Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced is expressed as Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress). Here is an example- 1696.558 = 0.5*arccos(28145000/55000000).

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

With Shear Stress on Oblique Plane (τ_θ) & Shear Stress (τ) we can find Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced using the formula - Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress). This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

What are the other ways to Calculate Theta?

Here are the different ways to Calculate Theta-

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

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

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

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

Angle of Oblique Plane using Shear 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 Shear Stress when Complementary Shear Stresses Induced can be measured.

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

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

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

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

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

Other Formulas to find Theta

Other formulas in Complementary Induced Stress category

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

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

Variable Name

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