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)
σt = (σmajor+σminor)/2*sin(2*θplane)
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
σt = (σmajorminor)/2*sin(2*θplane) --> (75000000+24000000)/2*sin(2*0.5235987755982)
Evaluating ... ...
σt = 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 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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3 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
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
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
Go Radius of Mohr's circle = (Major Principal Stress+Minor Principal Stress)/2

3 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
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
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
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

Tangential Stress on Oblique Plane = (Major Principal Stress+Minor Principal Stress)/2*sin(2*Plane Angle)
σt = (σmajor+σminor)/2*sin(2*θplane)

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 σt 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 major), Minor Principal Stress minor) & Plane Angle 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 σt = (σmajorminor)/2*sin(2*θplane) 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 major), Minor Principal Stress minor) & Plane Angle 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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