Resultant Stress on Oblique Section given Stress in Perpendicular Directions Calculator

✖Normal Stress is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress [σ_n]			+10% -10%
✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%

✖Resultant Stress is the simplified representation of stress.ⓘ Resultant Stress on Oblique Section given Stress in Perpendicular Directions [σ_R]

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Formula

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Resultant Stress on Oblique Section given Stress in Perpendicular Directions

Formula

`"σ"_{"R"} = sqrt("σ"_{"n"}^2+"𝜏"^2)`

Example

`"2.412986MPa"=sqrt(("0.250MPa")^2+("2.4MPa")^2)`

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Resultant Stress on Oblique Section given Stress in Perpendicular Directions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)
σ_R = sqrt(σ_n^2+𝜏^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Resultant Stress - (Measured in Pascal) - Resultant Stress is the simplified representation of stress.
Normal Stress - (Measured in Pascal) - Normal Stress is stress that occurs when a member is loaded by an axial force.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Normal Stress: 0.25 Megapascal --> 250000 Pascal (Check conversion here)
Shear Stress: 2.4 Megapascal --> 2400000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_R = sqrt(σ_n^2+𝜏^2) --> sqrt(250000^2+2400000^2)

Evaluating ... ...

σ_R = 2412985.70240273

STEP 3: Convert Result to Output's Unit

2412985.70240273 Pascal -->2.41298570240273 Megapascal (Check conversion here)

FINAL ANSWER

2.41298570240273 ≈ 2.412986 Megapascal <-- Resultant Stress

(Calculation completed in 00.004 seconds)

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< 8 Principal Stresses Calculators

Major Principal Stress if Member is Subjected to Two Perpendicular Direct Stress and Shear Stress

Go Major Principal Stress = (Stress acting along x-direction+Stress acting along y-direction)/2+sqrt(((Stress acting along x-direction-Stress acting along y-direction)/2)^2+Shear Stress^2)

Minor Principal Stress if Member is Subjected to Two Perpendicular Direct Stress and Shear Stress

Go Minor Principal Stress = (Stress acting along x-direction+Stress acting along y-direction)/2-sqrt(((Stress acting along x-direction-Stress acting along y-direction)/2)^2+Shear Stress^2)

Resultant Stress on Oblique Section given Stress in Perpendicular Directions

Go Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)

Angle of Obliquity

Go Angle of Obliquity = atan(Shear Stress/Normal Stress)

Safe Stress given Safe Value of Axial Pull

Go Stress in Bar = Safe Value of Axial Pull/Area of Cross-Section

Safe Value of Axial Pull

Go Safe Value of Axial Pull = Safe Stress*Area of Cross-Section

Stress along Maximum Axial Force

Go Stress in Bar = Maximum Axial Force/Area of Cross-Section

Maximum Axial Force

Go Maximum Axial Force = Stress in Bar*Area of Cross-Section

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula

Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)
σ_R = sqrt(σ_n^2+𝜏^2)

What is resultant stress?

Stress resultant is the simplified representation of the stress, resultant square is given as the sum of squares of two perpendicular stresses.

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

Resultant Stress on Oblique Section given Stress in Perpendicular Directions calculator uses Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2) to calculate the Resultant Stress, The Resultant Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the square root of sum of squares of normal stress and shear stress. Resultant Stress is denoted by σ_R symbol.

How to calculate Resultant Stress on Oblique Section given Stress in Perpendicular Directions using this online calculator? To use this online calculator for Resultant Stress on Oblique Section given Stress in Perpendicular Directions, enter Normal Stress (σ_n) & Shear Stress (𝜏) and hit the calculate button. Here is how the Resultant Stress on Oblique Section given Stress in Perpendicular Directions calculation can be explained with given input values -> 2.4E-6 = sqrt(250000^2+2400000^2).

FAQ

What is Resultant Stress on Oblique Section given Stress in Perpendicular Directions?

The Resultant Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the square root of sum of squares of normal stress and shear stress and is represented as σ_R = sqrt(σ_n^2+𝜏^2) or Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2). Normal Stress is stress that occurs when a member is loaded by an axial force & Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

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

The Resultant Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the square root of sum of squares of normal stress and shear stress is calculated using Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2). To calculate Resultant Stress on Oblique Section given Stress in Perpendicular Directions, you need Normal Stress (σ_n) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Normal Stress & Shear Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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