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Normal Stress when Member Subjected to Axial Load Formula

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Normal Stress on Oblique Plane is the stress acting normally to its oblique plane. Check FAQs

σ θ = σ y \cdot \cos (2 \cdot θ)

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

Normal Stress when Member Subjected to Axial Load Example

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

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

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

55 = 110 \cdot \cos (2 \cdot 30)

55MPa = 110MPa \cdot \cos (2 \cdot 30°)

55 = 110 \cdot \cos (2 \cdot 30)

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Normal Stress when Member Subjected to Axial Load Solution

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

FIRST Step Consider the formula

σ θ = σ y \cdot \cos (2 \cdot θ)

Next Step Substitute values of Variables

∴

σ θ = 110MPa \cdot \cos (2 \cdot 30°)

Next Step Convert Units

∴

σ θ = 1.1E+8Pa \cdot \cos (2 \cdot 0.5236rad)

Next Step Prepare to Evaluate

∴

σ θ = 1.1E+8 \cdot \cos (2 \cdot 0.5236)

Next Step Evaluate

∴

σ θ = 55000000.0000188Pa

Next Step Convert to Output's Unit

∴

σ θ = 55.0000000000188MPa

LAST Step Rounding Answer

∴

σ θ = 55MPa

Normal Stress when Member Subjected to Axial Load Formula Elements

Variables

Functions

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

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

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 in Stresses of Members Subjected to Axial Loading category

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 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 Normal Stress when Member Subjected to Axial Load?

Normal Stress when Member Subjected to Axial Load evaluator uses Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta) to evaluate the Normal Stress on Oblique Plane, The Normal Stress when Member Subjected to Axial Load formula is defined as stress acting perpendicular to the plane. Normal Stress on Oblique Plane is denoted by σ_θ symbol.

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

FAQs on Normal Stress when Member Subjected to Axial Load

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

The formula of Normal Stress when Member Subjected to Axial Load is expressed as Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta). Here is an example- 5.5E-5 = 110000000*cos(2*0.5235987755982).

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

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

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

Yes, the Normal Stress when Member Subjected to Axial Load, measured in Stress can be negative.

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

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

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