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Shear Stress when Member Subjected to Axial Load Formula

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The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle. Check FAQs

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

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

Shear Stress when Member Subjected to Axial Load Example

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Here is how the Shear Stress when Member Subjected to Axial Load equation looks like with Values.

Here is how the Shear Stress when Member Subjected to Axial Load equation looks like with Units.

Here is how the Shear Stress when Member Subjected to Axial Load equation looks like.

47.6314 = 0.5 \cdot 110 \cdot \sin (2 \cdot 30)

47.6314MPa = 0.5 \cdot 110MPa \cdot \sin (2 \cdot 30°)

47.6314 = 0.5 \cdot 110 \cdot \sin (2 \cdot 30)

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Shear Stress when Member Subjected to Axial Load Solution

Follow our step by step solution on how to calculate Shear Stress when Member Subjected to Axial Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ θ = 0.5 \cdot 110MPa \cdot \sin (2 \cdot 30°)

Next Step Convert Units

∴

τ θ = 0.5 \cdot 1.1E+8Pa \cdot \sin (2 \cdot 0.5236rad)

Next Step Prepare to Evaluate

∴

τ θ = 0.5 \cdot 1.1E+8 \cdot \sin (2 \cdot 0.5236)

Next Step Evaluate

∴

τ θ = 47631397.2081387Pa

Next Step Convert to Output's Unit

∴

τ θ = 47.6313972081387MPa

LAST Step Rounding Answer

∴

τ θ = 47.6314MPa

Shear Stress when Member Subjected to Axial Load Formula Elements

Variables

Functions

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

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 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 Angle of Oblique plane when Member Subjected to Axial Loading

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

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 Shear Stress when Member Subjected to Axial Load?

Shear Stress when Member Subjected to Axial Load evaluator uses Shear Stress on Oblique Plane = 0.5*Stress along y Direction*sin(2*Theta) to evaluate the Shear Stress on Oblique Plane, The Shear Stress when Member Subjected to Axial Load formula is defined as stress at which plane gets distorted along the action of force. Shear Stress on Oblique Plane is denoted by τ_θ symbol.

How to evaluate Shear Stress when Member Subjected to Axial Load using this online evaluator? To use this online evaluator for Shear Stress when Member Subjected to Axial Load, enter Stress along y Direction (σ_y) & Theta (θ) and hit the calculate button.

FAQs on Shear Stress when Member Subjected to Axial Load

What is the formula to find Shear Stress when Member Subjected to Axial Load?

The formula of Shear Stress when Member Subjected to Axial Load is expressed as Shear Stress on Oblique Plane = 0.5*Stress along y Direction*sin(2*Theta). Here is an example- 9.5E-6 = 0.5*110000000*sin(2*0.5235987755982).

How to calculate Shear Stress when Member Subjected to Axial Load?

With Stress along y Direction (σ_y) & Theta (θ) we can find Shear Stress when Member Subjected to Axial Load using the formula - Shear Stress on Oblique Plane = 0.5*Stress along y Direction*sin(2*Theta). This formula also uses Sine (sin) function(s).

Can the Shear Stress when Member Subjected to Axial Load be negative?

No, the Shear Stress when Member Subjected to Axial Load, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress when Member Subjected to Axial Load?

Shear Stress 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 Shear Stress when Member Subjected to Axial Load can be measured.

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Shear Stress when Member Subjected to Axial Load Formula

Shear Stress when Member Subjected to Axial Load Example

Shear Stress when Member Subjected to Axial Load Solution

Shear Stress when Member Subjected to Axial Load Formula Elements

Other formulas in Stresses of Members Subjected to Axial Loading category

How to Evaluate Shear Stress when Member Subjected to Axial Load?

FAQs on Shear Stress when Member Subjected to Axial Load

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