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)
σR = sqrt(σn^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
σR = sqrt(σn^2+𝜏^2) --> sqrt(250000^2+2400000^2)
Evaluating ... ...
σR = 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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Institute of Aeronautical Engineering (IARE), Hyderabad
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Stress Relations Calculators

Resultant Stress on Oblique Section given Stress in Perpendicular Directions
​ LaTeX ​ Go Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)
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​ LaTeX ​ Go Angle of Obliquity = atan(Shear Stress/Normal Stress)
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​ LaTeX ​ Go Stress in Bar = Maximum Axial Force/Area of Cross-Section
Maximum Axial Force
​ LaTeX ​ Go Maximum Axial Force = Stress in Bar*Area of Cross-Section

Resultant Stress on Oblique Section given Stress in Perpendicular Directions Formula

​LaTeX ​Go
Resultant Stress = sqrt(Normal Stress^2+Shear Stress^2)
σR = sqrt(σn^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 σR 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 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 σR = sqrt(σn^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 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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