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

GoStress along Y-direction given Shear Stress in 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{σ θ}{\cos (2 \cdot θ)}

σ_y - Stress along y Direction?σ_θ - Normal Stress on Oblique Plane?θ - Theta?

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

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Here is how the Stress along Y-direction when Member Subjected to Axial Load equation looks like with Values.

Here is how the Stress along Y-direction when Member Subjected to Axial Load equation looks like with Units.

Here is how the Stress along Y-direction when Member Subjected to Axial Load equation looks like.

109.98 = \frac{54.99}{\cos (2 \cdot 30)}

109.98MPa = \frac{54.99MPa}{\cos (2 \cdot 30°)}

109.98 = \frac{54.99}{\cos (2 \cdot 30)}

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

Follow our step by step solution on how to calculate Stress along Y-direction when Member Subjected to Axial Load?

FIRST Step Consider the formula

σ y = \frac{σ θ}{\cos (2 \cdot θ)}

Next Step Substitute values of Variables

∴

σ y = \frac{54.99MPa}{\cos (2 \cdot 30°)}

Next Step Convert Units

∴

σ y = \frac{5.5E+7Pa}{\cos (2 \cdot 0.5236rad)}

Next Step Prepare to Evaluate

∴

σ y = \frac{5.5E+7}{\cos (2 \cdot 0.5236)}

Next Step Evaluate

∴

σ y = 109979999.999962Pa

Next Step Convert to Output's Unit

∴

σ y = 109.979999999962MPa

LAST Step Rounding Answer

∴

σ y = 109.98MPa

Stress along Y-direction when 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

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

cos

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

Syntax: cos(Angle)

Other Formulas to find Stress along y Direction

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)}

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 when Member Subjected to Axial Load?

Stress along Y-direction when Member Subjected to Axial Load evaluator uses Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)) to evaluate the Stress along y Direction, The Stress along Y-direction when Member Subjected to Axial Load formula is defined as calculating principal stress in the Y direction on the oblique plane when the member is subjected to axial load only. Stress along y Direction is denoted by σ_y symbol.

How to evaluate Stress along Y-direction when Member Subjected to Axial Load using this online evaluator? To use this online evaluator for Stress along Y-direction when Member Subjected to Axial Load, enter Normal Stress on Oblique Plane (σ_θ) & Theta (θ) and hit the calculate button.

FAQs on Stress along Y-direction when Member Subjected to Axial Load

What is the formula to find Stress along Y-direction when Member Subjected to Axial Load?

The formula of Stress along Y-direction when Member Subjected to Axial Load is expressed as Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)). Here is an example- 0.00011 = 54990000/(cos(2*0.5235987755982)).

How to calculate Stress along Y-direction when Member Subjected to Axial Load?

With Normal Stress on Oblique Plane (σ_θ) & Theta (θ) we can find Stress along Y-direction when Member Subjected to Axial Load using the formula - Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)). This formula also uses Cosine (cos) 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=Shear Stress on Oblique Plane/(0.5*sin(2*Theta))

Can the Stress along Y-direction when Member Subjected to Axial Load be negative?

No, the Stress along Y-direction when Member Subjected to Axial Load, measured in Stress cannot be negative.

Which unit is used to measure Stress along Y-direction when Member Subjected to Axial Load?

Stress along Y-direction when 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 when Member Subjected to Axial Load can be measured.

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