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Angle of Oblique Plane using Shear Stress and Axial Load Formula

GoAngle of Oblique plane when Member Subjected to Axial Loading 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 r \sin ((\frac{2 \cdot τ θ}{σ y}))}{2}

θ - Theta?τ_θ - Shear Stress on Oblique Plane?σ_y - Stress along y Direction?

Angle of Oblique Plane using Shear Stress and Axial Load Example

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Here is how the Angle of Oblique Plane using Shear Stress and Axial Load equation looks like with Values.

Here is how the Angle of Oblique Plane using Shear Stress and Axial Load equation looks like with Units.

Here is how the Angle of Oblique Plane using Shear Stress and Axial Load equation looks like.

15.3895 = \frac{a r \sin ((\frac{2 \cdot 28.145}{110}))}{2}

15.3895° = \frac{a r \sin ((\frac{2 \cdot 28.145MPa}{110MPa}))}{2}

15.3895 = \frac{a r \sin ((\frac{2 \cdot 28.145}{110}))}{2}

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Angle of Oblique Plane using Shear Stress and Axial Load Solution

Follow our step by step solution on how to calculate Angle of Oblique Plane using Shear Stress and Axial Load?

FIRST Step Consider the formula

θ = \frac{a r \sin ((\frac{2 \cdot τ θ}{σ y}))}{2}

Next Step Substitute values of Variables

∴

θ = \frac{a r \sin ((\frac{2 \cdot 28.145MPa}{110MPa}))}{2}

Next Step Convert Units

∴

θ = \frac{a r \sin ((\frac{2 \cdot 2.8E+7Pa}{1.1E+8Pa}))}{2}

Next Step Prepare to Evaluate

∴

θ = \frac{a r \sin ((\frac{2 \cdot 2.8E+7}{1.1E+8}))}{2}

Next Step Evaluate

∴

θ = 0.268597018934037rad

Next Step Convert to Output's Unit

∴

θ = 15.3894755747187°

LAST Step Rounding Answer

∴

θ = 15.3895°

Angle of Oblique Plane using Shear Stress and Axial Load 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

Stress along y Direction

The Stress along y Direction can be described as axial stress along the given direction.

Symbol: σ_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress along y Direction

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)

arsin

Arcsine 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: arsin(Number)

Other Formulas to find Theta

Go Angle of Oblique plane when Member Subjected to Axial Loading

θ = \frac{a \cos (\frac{σ θ}{σ y})}{2}

Other formulas in Stresses of Members Subjected to Axial Loading category

Go Normal Stress when Member Subjected to Axial Load

σ θ = σ y \cdot \cos (2 \cdot θ)

Go Stress along Y-direction when Member Subjected to Axial Load

σ y = \frac{σ θ}{\cos (2 \cdot θ)}

Go Shear Stress when Member Subjected to Axial Load

τ θ = 0.5 \cdot σ y \cdot \sin (2 \cdot θ)

Go Stress along Y-direction given Shear Stress in Member subjected to Axial Load

σ y = \frac{τ θ}{0.5 \cdot \sin (2 \cdot θ)}

How to Evaluate Angle of Oblique Plane using Shear Stress and Axial Load?

Angle of Oblique Plane using Shear Stress and Axial Load evaluator uses Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2 to evaluate the Theta, The Angle of Oblique Plane using Shear Stress and Axial Load formula is defined as the angle between the plane and the vertical line. Theta is denoted by θ symbol.

How to evaluate Angle of Oblique Plane using Shear Stress and Axial Load using this online evaluator? To use this online evaluator for Angle of Oblique Plane using Shear Stress and Axial Load, enter Shear Stress on Oblique Plane (τ_θ) & Stress along y Direction (σ_y) and hit the calculate button.

FAQs on Angle of Oblique Plane using Shear Stress and Axial Load

What is the formula to find Angle of Oblique Plane using Shear Stress and Axial Load?

The formula of Angle of Oblique Plane using Shear Stress and Axial Load is expressed as Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2. Here is an example- 881.752 = (arsin(((2*28145000)/110000000)))/2.

How to calculate Angle of Oblique Plane using Shear Stress and Axial Load?

With Shear Stress on Oblique Plane (τ_θ) & Stress along y Direction (σ_y) we can find Angle of Oblique Plane using Shear Stress and Axial Load using the formula - Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2. This formula also uses Sine, Inverse Sine function(s).

What are the other ways to Calculate Theta?

Here are the different ways to Calculate Theta-

Theta=(acos(Normal Stress on Oblique Plane/Stress along y Direction))/2

Can the Angle of Oblique Plane using Shear Stress and Axial Load be negative?

No, the Angle of Oblique Plane using Shear Stress and Axial Load, measured in Angle cannot be negative.

Which unit is used to measure Angle of Oblique Plane using Shear Stress and Axial Load?

Angle of Oblique Plane using Shear Stress and Axial Load 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 and Axial Load can be measured.

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Angle of Oblique Plane using Shear Stress and Axial Load Formula

​GoAngle of Oblique plane when Member Subjected to Axial Loading Formula

Angle of Oblique Plane using Shear Stress and Axial Load Example

Angle of Oblique Plane using Shear Stress and Axial Load Solution

Angle of Oblique Plane using Shear Stress and Axial Load Formula Elements

Other Formulas to find Theta

Other formulas in Stresses of Members Subjected to Axial Loading category

How to Evaluate Angle of Oblique Plane using Shear Stress and Axial Load?

FAQs on Angle of Oblique Plane using Shear Stress and Axial Load

Variable Name

GoAngle of Oblique plane when Member Subjected to Axial Loading Formula