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Stress along X- Direction with known Shear Stress in Bi-Axial Loading Formula

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

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

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

Stress along X- Direction with known Shear Stress in Bi-Axial Loading Example

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Here is how the Stress along X- Direction with known Shear Stress in Bi-Axial Loading equation looks like with Values.

Here is how the Stress along X- Direction with known Shear Stress in Bi-Axial Loading equation looks like with Units.

Here is how the Stress along X- Direction with known Shear Stress in Bi-Axial Loading equation looks like.

45.0019 = 110 - (\frac{28.145 \cdot 2}{\sin (2 \cdot 30)})

45.0019MPa = 110MPa - (\frac{28.145MPa \cdot 2}{\sin (2 \cdot 30°)})

45.0019 = 110 - (\frac{28.145 \cdot 2}{\sin (2 \cdot 30)})

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Stress along X- Direction with known Shear Stress in Bi-Axial Loading Solution

Follow our step by step solution on how to calculate Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ x = 110MPa - (\frac{28.145MPa \cdot 2}{\sin (2 \cdot 30°)})

Next Step Convert Units

∴

σ x = 1.1E+8Pa - (\frac{2.8E+7Pa \cdot 2}{\sin (2 \cdot 0.5236rad)})

Next Step Prepare to Evaluate

∴

σ x = 1.1E+8 - (\frac{2.8E+7 \cdot 2}{\sin (2 \cdot 0.5236)})

Next Step Evaluate

∴

σ x = 45001906.6946245Pa

Next Step Convert to Output's Unit

∴

σ x = 45.0019066946245MPa

LAST Step Rounding Answer

∴

σ x = 45.0019MPa

Stress along X- Direction with known Shear Stress in Bi-Axial Loading Formula Elements

Variables

Functions

Stress along x Direction

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

Symbol: σ_x

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress along x Direction

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 in Stresses in Bi Axial Loading category

Go Stress along Y- Direction using Shear Stress in Bi-Axial Loading

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

Go Normal Stress Induced in Oblique Plane due to Biaxial Loading

σ θ = (\frac{1}{2} \cdot (σ x + σ y)) + (\frac{1}{2} \cdot (σ x - σ y) \cdot (\cos (2 \cdot θ))) + (τ xy \cdot \sin (2 \cdot θ))

Go Shear Stress Induced in Oblique Plane due to Biaxial Loading

τ θ = - (\frac{1}{2} \cdot (σ x - σ y) \cdot \sin (2 \cdot θ)) + (τ xy \cdot \cos (2 \cdot θ))

How to Evaluate Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

Stress along X- Direction with known Shear Stress in Bi-Axial Loading evaluator uses Stress along x Direction = Stress along y Direction-((Shear Stress on Oblique Plane*2)/sin(2*Theta)) to evaluate the Stress along x Direction, The Stress along X- Direction with known Shear Stress in Bi-Axial Loading formula is defined as stress along a particular direction. Stress along x Direction is denoted by σ_x symbol.

How to evaluate Stress along X- Direction with known Shear Stress in Bi-Axial Loading using this online evaluator? To use this online evaluator for Stress along X- Direction with known Shear Stress in Bi-Axial Loading, enter Stress along y Direction (σ_y), Shear Stress on Oblique Plane (τ_θ) & Theta (θ) and hit the calculate button.

FAQs on Stress along X- Direction with known Shear Stress in Bi-Axial Loading

What is the formula to find Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

The formula of Stress along X- Direction with known Shear Stress in Bi-Axial Loading is expressed as Stress along x Direction = Stress along y Direction-((Shear Stress on Oblique Plane*2)/sin(2*Theta)). Here is an example- -4.3E-5 = 110000000-((28145000*2)/sin(2*0.5235987755982)).

How to calculate Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

With Stress along y Direction (σ_y), Shear Stress on Oblique Plane (τ_θ) & Theta (θ) we can find Stress along X- Direction with known Shear Stress in Bi-Axial Loading using the formula - Stress along x Direction = Stress along y Direction-((Shear Stress on Oblique Plane*2)/sin(2*Theta)). This formula also uses Sine (sin) function(s).

Can the Stress along X- Direction with known Shear Stress in Bi-Axial Loading be negative?

No, the Stress along X- Direction with known Shear Stress in Bi-Axial Loading, measured in Stress cannot be negative.

Which unit is used to measure Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

Stress along X- Direction with known Shear Stress in Bi-Axial Loading 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 X- Direction with known Shear Stress in Bi-Axial Loading can be measured.

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Stress along X- Direction with known Shear Stress in Bi-Axial Loading Formula

Stress along X- Direction with known Shear Stress in Bi-Axial Loading Example

Stress along X- Direction with known Shear Stress in Bi-Axial Loading Solution

Stress along X- Direction with known Shear Stress in Bi-Axial Loading Formula Elements

Other formulas in Stresses in Bi Axial Loading category

How to Evaluate Stress along X- Direction with known Shear Stress in Bi-Axial Loading?

FAQs on Stress along X- Direction with known Shear Stress in Bi-Axial Loading

Variable Name