Normal Stress 2 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)
σ2 = (σx+σy)/2-sqrt(((σx-σy)/2)^2+ςu^2)
This formula uses 1 Functions, 4 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
Normal Stress 2 - (Measured in Pascal) - A Normal Stress 2 is a stress that occurs when a member is loaded by an axial force.
Principal Stress along x - (Measured in Pascal) - Principal Stress along x is stress applied along x-axis of the structure.
Principal Stress along y - (Measured in Pascal) - Principal Stress along y is stress applied along the y-axis of the structure.
Shear Stress on Upper Surface - (Measured in Pascal) - Shear stress on upper surface refers to the amount of shear force that acts on a small element of the surface parallel to a given fluid particle. .
STEP 1: Convert Input(s) to Base Unit
Principal Stress along x: 100 Pascal --> 100 Pascal No Conversion Required
Principal Stress along y: 0.2 Pascal --> 0.2 Pascal No Conversion Required
Shear Stress on Upper Surface: 8.5 Pascal --> 8.5 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ2 = (σxy)/2-sqrt(((σxy)/2)^2+ςu^2) --> (100+0.2)/2-sqrt(((100-0.2)/2)^2+8.5^2)
Evaluating ... ...
σ2 = -0.518771221751322
STEP 3: Convert Result to Output's Unit
-0.518771221751322 Pascal --> No Conversion Required
FINAL ANSWER
-0.518771221751322 -0.518771 Pascal <-- Normal Stress 2
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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Normal Stress 2 Formula

​LaTeX ​Go
Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)
σ2 = (σx+σy)/2-sqrt(((σx-σy)/2)^2+ςu^2)

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The Mohr circle is used to find the stress components and, i.e., coordinates of any point on the circle, acting on any other plane passing through making an angle with the plane.

How to Calculate Normal Stress 2?

Normal Stress 2 calculator uses Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2) to calculate the Normal Stress 2, The Normal Stress 2 formula is defined as a measure of the average normal stress on a material, considering both the x and y directions, and the shear stress, providing a comprehensive understanding of the material's stress state under different loading conditions. Normal Stress 2 is denoted by σ2 symbol.

How to calculate Normal Stress 2 using this online calculator? To use this online calculator for Normal Stress 2, enter Principal Stress along x x), Principal Stress along y y) & Shear Stress on Upper Surface u) and hit the calculate button. Here is how the Normal Stress 2 calculation can be explained with given input values -> -0.518771 = (100+0.2)/2-sqrt(((100-0.2)/2)^2+8.5^2).

FAQ

What is Normal Stress 2?
The Normal Stress 2 formula is defined as a measure of the average normal stress on a material, considering both the x and y directions, and the shear stress, providing a comprehensive understanding of the material's stress state under different loading conditions and is represented as σ2 = (σxy)/2-sqrt(((σxy)/2)^2+ςu^2) or Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2). Principal Stress along x is stress applied along x-axis of the structure, Principal Stress along y is stress applied along the y-axis of the structure & Shear stress on upper surface refers to the amount of shear force that acts on a small element of the surface parallel to a given fluid particle. .
How to calculate Normal Stress 2?
The Normal Stress 2 formula is defined as a measure of the average normal stress on a material, considering both the x and y directions, and the shear stress, providing a comprehensive understanding of the material's stress state under different loading conditions is calculated using Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2). To calculate Normal Stress 2, you need Principal Stress along x x), Principal Stress along y y) & Shear Stress on Upper Surface u). With our tool, you need to enter the respective value for Principal Stress along x, Principal Stress along y & Shear Stress on Upper Surface 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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