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Normal Stress across Oblique Section Formula

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

GoNormal Stress for Principal Planes at Angle of 90 degrees Formula

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

σ n = σ \cdot {(\cos (θ oblique))}^{2}

σ_n - Normal Stress?σ - Stress in Bar?θ_oblique - Angle made by Oblique Section with Normal?

Normal Stress across Oblique Section Example

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With units

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Here is how the Normal Stress across Oblique Section equation looks like with Values.

Here is how the Normal Stress across Oblique Section equation looks like with Units.

Here is how the Normal Stress across Oblique Section equation looks like.

0.0112 = 0.012 \cdot {(\cos (15))}^{2}

0.0112MPa = 0.012MPa \cdot {(\cos (15°))}^{2}

0.0112 = 0.012 \cdot {(\cos (15))}^{2}

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Normal Stress across Oblique Section Solution

Follow our step by step solution on how to calculate Normal Stress across Oblique Section?

FIRST Step Consider the formula

σ n = σ \cdot {(\cos (θ oblique))}^{2}

Next Step Substitute values of Variables

∴

σ n = 0.012MPa \cdot {(\cos (15°))}^{2}

Next Step Convert Units

∴

σ n = 12000Pa \cdot {(\cos (0.2618rad))}^{2}

Next Step Prepare to Evaluate

∴

σ n = 12000 \cdot {(\cos (0.2618))}^{2}

Next Step Evaluate

∴

σ n = 11196.1524227069Pa

Next Step Convert to Output's Unit

∴

σ n = 0.0111961524227069MPa

LAST Step Rounding Answer

∴

σ n = 0.0112MPa

Normal Stress across Oblique Section 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

Stress in Bar

Stress in Bar applied to a bar is the force per unit area applied to the barl. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress in Bar

Angle made by Oblique Section with Normal

Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ.

Symbol: θ_oblique

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle made by Oblique Section with Normal

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 Normal Stress

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}

Go Normal Stress on Oblique Section given Stress in Perpendicular Directions

σ n = \frac{σ 1 + σ 2}{2} + \frac{σ 1 - σ 2}{2} \cdot \cos (2 \cdot θ oblique)

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 across Oblique Section?

Normal Stress across Oblique Section evaluator uses Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2 to evaluate the Normal Stress, The Normal Stress across Oblique Section formula is defined as the product of stress and cos²(θ), Where stress is a force acting per cross-sectional area. Normal Stress is denoted by σ_n symbol.

How to evaluate Normal Stress across Oblique Section using this online evaluator? To use this online evaluator for Normal Stress across Oblique Section, enter Stress in Bar (σ) & Angle made by Oblique Section with Normal (θ_oblique) and hit the calculate button.

FAQs on Normal Stress across Oblique Section

What is the formula to find Normal Stress across Oblique Section?

The formula of Normal Stress across Oblique Section is expressed as Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2. Here is an example- 1.1E-8 = 12000*(cos(0.2617993877991))^2.

How to calculate Normal Stress across Oblique Section?

With Stress in Bar (σ) & Angle made by Oblique Section with Normal (θ_oblique) we can find Normal Stress across Oblique Section using the formula - Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2. This formula also uses Cosine function(s).

What are the other ways to Calculate Normal Stress?

Here are the different ways to Calculate Normal Stress-

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
Normal Stress=(Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2

Can the Normal Stress across Oblique Section be negative?

No, the Normal Stress across Oblique Section, measured in Stress cannot be negative.

Which unit is used to measure Normal Stress across Oblique Section?

Normal Stress across Oblique Section 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 across Oblique Section can be measured.

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