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Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress Calculator

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Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Stress which are Unequal and Unlike Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular and a Simple Shear Stress Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Tensile Stress of Unequal Intensity

✖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%
✖Plane Angle is the measure of the inclination between two intersecting lines in a flat surface, usually expressed in degrees.ⓘ Plane Angle [θ_plane]			+10% -10%

✖Tangential Stress on Oblique Plane is the total force acting in the tangential direction divided by the area of the surface.ⓘ Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress [σ_t]

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Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle)
σ_t = (σ_major+σ_minor)/2*sin(2*θ_plane)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Tangential Stress on Oblique Plane - (Measured in Pascal) - Tangential Stress on Oblique Plane is the total force acting in the tangential direction divided by the area of the surface.
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.
Plane Angle - (Measured in Radian) - Plane Angle is the measure of the inclination between two intersecting lines in a flat surface, usually expressed in degrees.

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)
Plane Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_t = (σ_major+σ_minor)/2*sin(2*θ_plane) --> (75000000+24000000)/2*sin(2*0.5235987755982)

Evaluating ... ...

σ_t = 42868257.4873248

STEP 3: Convert Result to Output's Unit

42868257.4873248 Pascal -->42.8682574873248 Megapascal (Check conversion here)

FINAL ANSWER

42.8682574873248 ≈ 42.86826 Megapascal <-- Tangential Stress on Oblique Plane

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Mohr's Circle » Mechanical » Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Stress which are Unequal and Unlike » Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress

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National Institute of Technology (NIT), Tiruchirapalli

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< Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular Stress which are Unequal and Unlike Calculators

Normal Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress

LaTeX Go Normal Stress on Oblique Plane = (Major Principal Stress-Minor Principal Stress)/2+(Major Principal Stress+Minor Principal Stress)/2*cos(2*Plane Angle)

Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress

LaTeX Go Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle)

Radius of Mohr's Circle for Unequal and Unlike Mutually Perpendicular Stresses

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

< When a Body is subjected to two Mutual Perpendicular Principal Tensile stresses which are Unequal and Unlike Calculators

Normal Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress

LaTeX Go Normal Stress on Oblique Plane = (Major Principal Stress-Minor Principal Stress)/2+(Major Principal Stress+Minor Principal Stress)/2*cos(2*Plane Angle)

Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress

LaTeX Go Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle)

Radius of Mohr's Circle for Unequal and Unlike Mutually Perpendicular Stresses

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

Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress Formula

LaTeX Go

Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle)
σ_t = (σ_major+σ_minor)/2*sin(2*θ_plane)

What is Tangential Force?

The tangential force, also known as the shear force, is the force acting parallel to the surface. When the direction of the deforming force or external force is parallel to the cross-sectional area, the stress experienced by the object is called shearing stress or tangential stress.

How to Calculate Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress?

Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress calculator uses Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle) to calculate the Tangential Stress on Oblique Plane, The Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress formula is defined as the ratio of total shear place acting on the plane divided by the cross-sectional area. Tangential Stress on Oblique Plane is denoted by σ_t symbol.

How to calculate Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress using this online calculator? To use this online calculator for Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress, enter Major Principal Stress (σ_major), Minor Principal Stress (σ_minor) & Plane Angle (θ_plane) and hit the calculate button. Here is how the Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress calculation can be explained with given input values -> 4.3E-5 = (75000000+24000000)/2*sin(2*0.5235987755982).

FAQ

What is Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress?

The Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress formula is defined as the ratio of total shear place acting on the plane divided by the cross-sectional area and is represented as σ_t = (σ_major+σ_minor)/2*sin(2*θ_plane) or Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle). 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 & Plane Angle is the measure of the inclination between two intersecting lines in a flat surface, usually expressed in degrees.

How to calculate Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress?

The Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress formula is defined as the ratio of total shear place acting on the plane divided by the cross-sectional area is calculated using Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle). To calculate Shear Stress on Oblique Plane for Two Perpendicular Unequal and Unlike Stress, you need Major Principal Stress (σ_major), Minor Principal Stress (σ_minor) & Plane Angle (θ_plane). With our tool, you need to enter the respective value for Major Principal Stress, Minor Principal Stress & Plane Angle 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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