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Normal Stress 1 Calculator

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Stress and Strain Strain Stress

✖Principal Stress along x is stress applied along x-axis of the structure.ⓘ Principal Stress along x [σ_x]			+10% -10%
✖Principal Stress along y is stress applied along the y-axis of the structure.ⓘ Principal Stress along y [σ_y]			+10% -10%
✖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. .ⓘ Shear Stress on Upper Surface [ς_u]			+10% -10%

✖A Normal Stress 1 is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress 1 [σ₁]

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Normal Stress 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress 1 = (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)
σ₁ = (σ_x+σ_y)/2+sqrt(((σ_x-σ_y)/2)^2+ς_u^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 1 - (Measured in Pascal) - A Normal Stress 1 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

σ₁ = (σ_x+σ_y)/2+sqrt(((σ_x-σ_y)/2)^2+ς_u^2) --> (100+0.2)/2+sqrt(((100-0.2)/2)^2+8.5^2)

Evaluating ... ...

σ₁ = 100.718771221751

STEP 3: Convert Result to Output's Unit

100.718771221751 Pascal --> No Conversion Required

FINAL ANSWER

100.718771221751 ≈ 100.7188 Pascal <-- Normal Stress 1

(Calculation completed in 00.004 seconds)

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Normal Stress 1 Formula

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How to Calculate Normal Stress 1?

Normal Stress 1 calculator uses Normal Stress 1 = (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 1, The Normal Stress 1 formula is defined as a measure of the maximum normal stress that occurs in a material when it is subjected to a combination of normal and shear stresses, providing a critical value for material failure and deformation analysis in engineering applications. Normal Stress 1 is denoted by σ₁ symbol.

How to calculate Normal Stress 1 using this online calculator? To use this online calculator for Normal Stress 1, enter Principal Stress along x (σ_x), Principal Stress along y (σ_y) & Shear Stress on Upper Surface (ς_u) and hit the calculate button. Here is how the Normal Stress 1 calculation can be explained with given input values -> 100.7188 = (100+0.2)/2+sqrt(((100-0.2)/2)^2+8.5^2).

FAQ

What is Normal Stress 1?

The Normal Stress 1 formula is defined as a measure of the maximum normal stress that occurs in a material when it is subjected to a combination of normal and shear stresses, providing a critical value for material failure and deformation analysis in engineering applications and is represented as σ₁ = (σ_x+σ_y)/2+sqrt(((σ_x-σ_y)/2)^2+ς_u^2) or Normal Stress 1 = (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 1?

The Normal Stress 1 formula is defined as a measure of the maximum normal stress that occurs in a material when it is subjected to a combination of normal and shear stresses, providing a critical value for material failure and deformation analysis in engineering applications is calculated using Normal Stress 1 = (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 1, you need Principal Stress along x (σ_x), Principal Stress along y (σ_y) & Shear Stress on Upper Surface (ς_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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