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Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula

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Resultant Stress is the simplified representation of stress. Check FAQs

σ R = \sqrt{{σ n}^{2} + 𝜏^{2}}

σ_R - Resultant Stress?σ_n - Normal Stress?𝜏 - Shear Stress?

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Example

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Here is how the Resultant Stress on Oblique Section given Stress in Perpendicular Directions equation looks like with Values.

Here is how the Resultant Stress on Oblique Section given Stress in Perpendicular Directions equation looks like with Units.

Here is how the Resultant Stress on Oblique Section given Stress in Perpendicular Directions equation looks like.

2.4 = \sqrt{{0.0112}^{2} + {2.4}^{2}}

2.4MPa = \sqrt{{0.0112MPa}^{2} + {2.4MPa}^{2}}

2.4 = \sqrt{{0.0112}^{2} + {2.4}^{2}}

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Resultant Stress on Oblique Section given Stress in Perpendicular Directions Solution

Follow our step by step solution on how to calculate Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

FIRST Step Consider the formula

σ R = \sqrt{{σ n}^{2} + 𝜏^{2}}

Next Step Substitute values of Variables

∴

σ R = \sqrt{{0.0112MPa}^{2} + {2.4MPa}^{2}}

Next Step Convert Units

∴

σ R = \sqrt{{11196Pa}^{2} + {2.4E+6Pa}^{2}}

Next Step Prepare to Evaluate

∴

σ R = \sqrt{11196^{2} + {2.4E+6}^{2}}

Next Step Evaluate

∴

σ R = 2400026.11452792Pa

Next Step Convert to Output's Unit

∴

σ R = 2.40002611452792MPa

LAST Step Rounding Answer

∴

σ R = 2.4MPa

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula Elements

Variables

Functions

Resultant Stress

Resultant Stress is the simplified representation of stress.

Symbol: σ_R

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Resultant Stress

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Stress Relations category

Go Angle of Obliquity

ϕ = a \tan (\frac{𝜏}{σ n})

Go Stress along Maximum Axial Force

σ = \frac{P a}{A}

Go Maximum Axial Force

P a = σ \cdot A

Go Safe Stress given Safe Value of Axial Pull

σ = \frac{P s}{A}

How to Evaluate Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

Resultant Stress on Oblique Section given Stress in Perpendicular Directions evaluator uses Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2) to evaluate the Resultant Stress, Resultant Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as a measure of the stress on an oblique section of a material, considering the normal stress and shear stress components acting on the section, providing a comprehensive understanding of the material's behavior under complex loading conditions. Resultant Stress is denoted by σ_R symbol.

How to evaluate Resultant Stress on Oblique Section given Stress in Perpendicular Directions using this online evaluator? To use this online evaluator for Resultant Stress on Oblique Section given Stress in Perpendicular Directions, enter Normal Stress (σ_n) & Shear Stress (𝜏) and hit the calculate button.

FAQs on Resultant Stress on Oblique Section given Stress in Perpendicular Directions

What is the formula to find Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

The formula of Resultant Stress on Oblique Section given Stress in Perpendicular Directions is expressed as Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2). Here is an example- 2.4E-6 = sqrt(11196^2+2400000^2).

How to calculate Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

With Normal Stress (σ_n) & Shear Stress (𝜏) we can find Resultant Stress on Oblique Section given Stress in Perpendicular Directions using the formula - Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2). This formula also uses Square Root (sqrt) function(s).

Can the Resultant Stress on Oblique Section given Stress in Perpendicular Directions be negative?

Yes, the Resultant Stress on Oblique Section given Stress in Perpendicular Directions, measured in Stress can be negative.

Which unit is used to measure Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

Resultant Stress on Oblique Section given Stress in Perpendicular Directions 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 Resultant Stress on Oblique Section given Stress in Perpendicular Directions can be measured.

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Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Example

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Solution

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula Elements

Other formulas in Stress Relations category

How to Evaluate Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

FAQs on Resultant Stress on Oblique Section given Stress in Perpendicular Directions

Variable Name