HCF calculator

Normal Stress 2 Calculator

Engineering Chemistry Financial Health More >>

↳

Mechanical Chemical Engineering Civil Electrical More >>

⤿

Strength of Materials Cryogenic Systems Fluid Mechanics Industrial Engineering More >>

⤿

Stress and Strain Strain Stress

✖Principal stress along x is stress along x-axis.ⓘ Principal Stress along x [σ_x]			+10% -10%
✖Principal stress along y is stress along y-axis.ⓘ 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 [τ]			+10% -10%

✖A normal stress 2 is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress 2 [σ₂]

⎘ Copy

👎

Formula

✖

Normal Stress 2

Formula

σ 2 = \frac{σ x + σ y}{2} - \sqrt{{(\frac{σ x - σ y}{2})}^{2} + τ^{2}}

Example

-0.518771 N/m² = \frac{100 N/m² + 0.2 N/m²}{2} - \sqrt{{(\frac{100 N/m² - 0.2 N/m²}{2})}^{2} + {8.5 N/m²}^{2}}

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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 = (σ_x+σ_y)/2-sqrt(((σ_x-σ_y)/2)^2+τ^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 along x-axis.
Principal Stress along y - (Measured in Pascal) - Principal stress along y is stress along y-axis.
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 Newton per Square Meter --> 100 Pascal (Check conversion here)
Principal Stress along y: 0.2 Newton per Square Meter --> 0.2 Pascal (Check conversion here)
Shear Stress on Upper Surface: 8.5 Newton per Square Meter --> 8.5 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ₂ = (σ_x+σ_y)/2-sqrt(((σ_x-σ_y)/2)^2+τ^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 -->-0.518771221751322 Newton per Square Meter (Check conversion here)

FINAL ANSWER

-0.518771221751322 ≈ -0.518771 Newton per Square Meter <-- Normal Stress 2

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Strength of Materials » Stress and Strain » Normal Stress 2

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Stress and Strain Calculators

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Normal Stress 2 Formula

What is mohr's circle?

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, A normal stress 2 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross-sectional area. 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 (σ_x), Principal Stress along y (σ_y) & Shear Stress on Upper Surface (τ) 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?

A normal stress 2 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross-sectional area and is represented as σ₂ = (σ_x+σ_y)/2-sqrt(((σ_x-σ_y)/2)^2+τ^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 along x-axis, Principal stress along y is stress along y-axis & 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?

A normal stress 2 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross-sectional area 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 (σ_x), Principal Stress along y (σ_y) & Shear Stress on Upper Surface (τ). 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.

Home

FREE PDFs

🔍 Search