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Normal Stress using Obliquity Formula

GoNormal Stress across Oblique Section Formula

GoNormal Stress for Principal Planes at Angle of 0 Degrees given Major and Minor Tensile Stress Formula

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Normal Stress is stress that occurs when a member is loaded by an axial force. Check FAQs

σ n = \frac{𝜏}{\tan (ϕ)}

σ_n - Normal Stress?𝜏 - Shear Stress?ϕ - Angle of Obliquity?

Normal Stress using Obliquity Example

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Here is how the Normal Stress using Obliquity equation looks like with Values.

Here is how the Normal Stress using Obliquity equation looks like with Units.

Here is how the Normal Stress using Obliquity equation looks like.

2.4 = \frac{2.4}{\tan (45)}

2.4MPa = \frac{2.4MPa}{\tan (45°)}

2.4 = \frac{2.4}{\tan (45)}

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Normal Stress using Obliquity Solution

Follow our step by step solution on how to calculate Normal Stress using Obliquity?

FIRST Step Consider the formula

σ n = \frac{𝜏}{\tan (ϕ)}

Next Step Substitute values of Variables

∴

σ n = \frac{2.4MPa}{\tan (45°)}

Next Step Convert Units

∴

σ n = \frac{2.4E+6Pa}{\tan (0.7854rad)}

Next Step Prepare to Evaluate

∴

σ n = \frac{2.4E+6}{\tan (0.7854)}

Next Step Evaluate

∴

σ n = 2400000.00000071Pa

Next Step Convert to Output's Unit

∴

σ n = 2.40000000000071MPa

LAST Step Rounding Answer

∴

σ n = 2.4MPa

Normal Stress using Obliquity Formula Elements

Variables

Functions

Normal Stress

Normal Stress is stress that occurs when a member is loaded by an axial force.

Symbol: σ_n

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Angle of Obliquity

The Angle of Obliquity is the angle made by resultant stress with the normal of the oblique plane.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Obliquity

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Normal Stress

Go Normal Stress across Oblique Section

σ n = σ \cdot {(\cos (θ o))}^{2}

Go Normal Stress for Principal Planes at Angle of 0 Degrees given Major and Minor Tensile Stress

σ n = \frac{σ 1 + σ 2}{2} + \frac{σ 1 - σ 2}{2}

Go Normal Stress for Principal Planes at Angle of 90 degrees

σ n = \frac{σ 1 + σ 2}{2} - \frac{σ 1 - σ 2}{2}

Go Normal Stress for Principal Planes when Planes are at Angle of 0 Degree

σ n = \frac{σ 1 + σ 2}{2} + \frac{σ 1 - σ 2}{2}

Other formulas in Normal Stress category

Go Equivalent Stress by Distortion Energy Theory

σ e = \frac{1}{\sqrt{2}} \cdot \sqrt{{(σ' 1 - σ' 2)}^{2} + {(σ' 2 - σ 3)}^{2} + {(σ 3 - σ' 1)}^{2}}

Go Stress Amplitude

σ a = \frac{σ max - σ min}{2}

How to Evaluate Normal Stress using Obliquity?

Normal Stress using Obliquity evaluator uses Normal Stress = Shear Stress/tan(Angle of Obliquity) to evaluate the Normal Stress, Normal Stress using Obliquity formula is defined as a measure of the normal stress on a plane at an angle to the principal plane, which is essential in understanding the principal stresses and their role in structural analysis and material failure. Normal Stress is denoted by σ_n symbol.

How to evaluate Normal Stress using Obliquity using this online evaluator? To use this online evaluator for Normal Stress using Obliquity, enter Shear Stress (𝜏) & Angle of Obliquity (ϕ) and hit the calculate button.

FAQs on Normal Stress using Obliquity

What is the formula to find Normal Stress using Obliquity?

The formula of Normal Stress using Obliquity is expressed as Normal Stress = Shear Stress/tan(Angle of Obliquity). Here is an example- 2.4E-6 = 2400000/tan(0.785398163397301).

How to calculate Normal Stress using Obliquity?

With Shear Stress (𝜏) & Angle of Obliquity (ϕ) we can find Normal Stress using Obliquity using the formula - Normal Stress = Shear Stress/tan(Angle of Obliquity). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Normal Stress?

Here are the different ways to Calculate Normal Stress-

Normal Stress=Stress in Bar*(cos(Angle Made By Oblique Section With Normal))^2
Normal Stress=(Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress=(Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2

Can the Normal Stress using Obliquity be negative?

No, the Normal Stress using Obliquity, measured in Stress cannot be negative.

Which unit is used to measure Normal Stress using Obliquity?

Normal Stress using Obliquity 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 using Obliquity can be measured.

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