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

GoStress along Y-direction when Member Subjected to Axial Load Formula

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

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

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

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

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Here is how the Stress along Y-direction given Shear Stress in Member subjected to Axial Load equation looks like with Values.

Here is how the Stress along Y-direction given Shear Stress in Member subjected to Axial Load equation looks like with Units.

Here is how the Stress along Y-direction given Shear Stress in Member subjected to Axial Load equation looks like.

64.9981 = \frac{28.145}{0.5 \cdot \sin (2 \cdot 30)}

64.9981MPa = \frac{28.145MPa}{0.5 \cdot \sin (2 \cdot 30°)}

64.9981 = \frac{28.145}{0.5 \cdot \sin (2 \cdot 30)}

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

Follow our step by step solution on how to calculate Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ y = \frac{28.145MPa}{0.5 \cdot \sin (2 \cdot 30°)}

Next Step Convert Units

∴

σ y = \frac{2.8E+7Pa}{0.5 \cdot \sin (2 \cdot 0.5236rad)}

Next Step Prepare to Evaluate

∴

σ y = \frac{2.8E+7}{0.5 \cdot \sin (2 \cdot 0.5236)}

Next Step Evaluate

∴

σ y = 64998093.3053755Pa

Next Step Convert to Output's Unit

∴

σ y = 64.9980933053755MPa

LAST Step Rounding Answer

∴

σ y = 64.9981MPa

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

Variables

Functions

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

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

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 Stress along y Direction

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

σ y = \frac{σ θ}{\cos (2 \cdot θ)}

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 Angle of Oblique plane when Member Subjected to Axial Loading

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

Go Shear Stress when Member Subjected to Axial Load

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

Go Angle of Oblique Plane using Shear Stress and Axial Load

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

How to Evaluate Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

Stress along Y-direction given Shear Stress in Member subjected to Axial Load evaluator uses Stress along y Direction = Shear Stress on Oblique Plane/(0.5*sin(2*Theta)) to evaluate the Stress along y Direction, The Stress along Y-direction given Shear Stress in Member subjected to Axial Load formula is defined as calculating principal stress in the Y direction when a member is acted upon by axial load only and shear stress acting on it is already given. Stress along y Direction is denoted by σ_y symbol.

How to evaluate Stress along Y-direction given Shear Stress in Member subjected to Axial Load using this online evaluator? To use this online evaluator for Stress along Y-direction given Shear Stress in Member subjected to Axial Load, enter Shear Stress on Oblique Plane (τ_θ) & Theta (θ) and hit the calculate button.

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

What is the formula to find Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

The formula of Stress along Y-direction given Shear Stress in Member subjected to Axial Load is expressed as Stress along y Direction = Shear Stress on Oblique Plane/(0.5*sin(2*Theta)). Here is an example- 6.5E-5 = 28145000/(0.5*sin(2*0.5235987755982)).

How to calculate Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

With Shear Stress on Oblique Plane (τ_θ) & Theta (θ) we can find Stress along Y-direction given Shear Stress in Member subjected to Axial Load using the formula - Stress along y Direction = Shear Stress on Oblique Plane/(0.5*sin(2*Theta)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Stress along y Direction?

Here are the different ways to Calculate Stress along y Direction-

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

Can the Stress along Y-direction given Shear Stress in Member subjected to Axial Load be negative?

No, the Stress along Y-direction given Shear Stress in Member subjected to Axial Load, measured in Stress cannot be negative.

Which unit is used to measure Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

Stress along Y-direction given Shear Stress in Member subjected to Axial Load 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 Stress along Y-direction given Shear Stress in Member subjected to Axial Load can be measured.

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

​GoStress along Y-direction when Member Subjected to Axial Load Formula

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

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

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

Other Formulas to find Stress along y Direction

Other formulas in Stresses of Members Subjected to Axial Loading category

How to Evaluate Stress along Y-direction given Shear Stress in Member subjected to Axial Load?

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

Variable Name

GoStress along Y-direction when Member Subjected to Axial Load Formula