Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities Calculator

✖Major Principal Stress is the maximum normal stress acting on the principal plane.ⓘ Major Principal Stress [σ_major]			+10% -10%
✖Minor Principal Stress is the minimum normal stress acting on the principal plane.ⓘ Minor Principal Stress [σ_minor]			+10% -10%

✖Radius of Mohr's circle is given by the value of maximum in-plane shear stress.ⓘ Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities [R]

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Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities

Formula

`"R" = ("σ"_{"major"}-"σ"_{"minor"})/2`

Example

`"25.5MPa"=("75MPa"-"24MPa")/2`

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Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2
R = (σ_major-σ_minor)/2
This formula uses 3 Variables

Variables Used

Radius of Mohr's circle - (Measured in Pascal) - Radius of Mohr's circle is given by the value of maximum in-plane shear stress.
Major Principal Stress - (Measured in Pascal) - Major Principal Stress is the maximum normal stress acting on the principal plane.
Minor Principal Stress - (Measured in Pascal) - Minor Principal Stress is the minimum normal stress acting on the principal plane.

STEP 1: Convert Input(s) to Base Unit

Major Principal Stress: 75 Megapascal --> 75000000 Pascal (Check conversion here)
Minor Principal Stress: 24 Megapascal --> 24000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (σ_major-σ_minor)/2 --> (75000000-24000000)/2

Evaluating ... ...

R = 25500000

STEP 3: Convert Result to Output's Unit

25500000 Pascal -->25.5 Megapascal (Check conversion here)

FINAL ANSWER

25.5 Megapascal <-- Radius of Mohr's circle

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Mohr's Circle » Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Tensile Stress of Unequal Intensity » Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities

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National Institute of Technology (NIT), Tiruchirapalli

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< 4 Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Tensile Stress of Unequal Intensity Calculators

Normal Stress on Oblique Plane with Two Mutually Perpendicular Forces

Go Normal Stress on Oblique Plane = (Stress Along x Direction+Stress Along y Direction)/2+(Stress Along x Direction-Stress Along y Direction)/2*cos(2*Plane Angle)+Shear Stress in Mpa*sin(2*Plane Angle)

Tangential Stress on Oblique Plane with Two Mutually Perpendicular Forces

Go Tangential Stress on Oblique Plane = (Stress Along x Direction-Stress Along y Direction)/2*sin(2*Plane Angle)-Shear Stress in Mpa*cos(2*Plane Angle)

Maximum Shear Stress

Go Maximum Shear Stress = sqrt((Stress Along x Direction-Stress Along y Direction)^2+4*Shear Stress in Mpa^2)/2

Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities

Go Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2

< 4 When a Body is subjected to two Mutual Perpendicular Principal Tensile stresses of Unequal Intensity Calculators

Normal Stress on Oblique Plane with Two Mutually Perpendicular Forces

Tangential Stress on Oblique Plane with Two Mutually Perpendicular Forces

Go Tangential Stress on Oblique Plane = (Stress Along x Direction-Stress Along y Direction)/2*sin(2*Plane Angle)-Shear Stress in Mpa*cos(2*Plane Angle)

Maximum Shear Stress

Go Maximum Shear Stress = sqrt((Stress Along x Direction-Stress Along y Direction)^2+4*Shear Stress in Mpa^2)/2

Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities

Go Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2

Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities Formula

Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2
R = (σ_major-σ_minor)/2

What is Mohr's Circle?

The transformation equations for plane stress can be represented in graphical form by a plot known as Mohr’s Circle.

What is Principal Stress & Normal Stress?

When a stress tensor acts on a body, the plane along which the shear stress terms vanish is called the principal plane, and the stress on such planes is called principal stress.
The intensity of net force acting per unit area normal to the cross-section under consideration is called normal stress.

How to Calculate Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities?

Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities calculator uses Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2 to calculate the Radius of Mohr's circle, The Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities formula is defined as half the value of the difference between major principal stress and minor principal stress. Radius of Mohr's circle is denoted by R symbol.

How to calculate Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities using this online calculator? To use this online calculator for Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities, enter Major Principal Stress (σ_major) & Minor Principal Stress (σ_minor) and hit the calculate button. Here is how the Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities calculation can be explained with given input values -> 2.6E-5 = (75000000-24000000)/2.

FAQ

What is Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities?

The Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities formula is defined as half the value of the difference between major principal stress and minor principal stress and is represented as R = (σ_major-σ_minor)/2 or Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2. Major Principal Stress is the maximum normal stress acting on the principal plane & Minor Principal Stress is the minimum normal stress acting on the principal plane.

How to calculate Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities?

The Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities formula is defined as half the value of the difference between major principal stress and minor principal stress is calculated using Radius of Mohr's circle = (Major Principal Stress-Minor Principal Stress)/2. To calculate Radius of Mohr's Circle for Two Mutually Perpendicular Stresses of Unequal Intensities, you need Major Principal Stress (σ_major) & Minor Principal Stress (σ_minor). With our tool, you need to enter the respective value for Major Principal Stress & Minor Principal 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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