Normal Stress when Member Subjected to Axial Load Calculator

✖The Stress along y Direction can be described as axial stress along the given direction.ⓘ Stress along y Direction [σ_y]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.ⓘ Normal Stress when Member Subjected to Axial Load [σ_θ]

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Normal Stress when Member Subjected to Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)
σ_θ = σ_y*cos(2*θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Normal Stress on Oblique Plane - (Measured in Pascal) - Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.
Stress along y Direction - (Measured in Pascal) - The Stress along y Direction can be described as axial stress along the given direction.
Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.

STEP 1: Convert Input(s) to Base Unit

Stress along y Direction: 110 Megapascal --> 110000000 Pascal (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = σ_y*cos(2*θ) --> 110000000*cos(2*0.5235987755982)

Evaluating ... ...

σ_θ = 55000000.0000188

STEP 3: Convert Result to Output's Unit

55000000.0000188 Pascal -->55.0000000000188 Megapascal (Check conversion here)

FINAL ANSWER

55.0000000000188 ≈ 55 Megapascal <-- Normal Stress on Oblique Plane

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stresses of Members Subjected to Axial Loading Calculators

Angle of Oblique plane when Member Subjected to Axial Loading

LaTeX Go Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2

Shear Stress when Member Subjected to Axial Load

LaTeX Go Shear Stress on Oblique Plane = 0.5*Stress along y Direction*sin(2*Theta)

Stress along Y-direction when Member Subjected to Axial Load

LaTeX Go Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta))

Normal Stress when Member Subjected to Axial Load

LaTeX Go Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)

Normal Stress when Member Subjected to Axial Load Formula

LaTeX Go

Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)
σ_θ = σ_y*cos(2*θ)

What is Principal Stress?

Principal stress is the maximum normal stress a body can have at its some point. It represents purely normal stress. If at some point principal stress is said to have acted it does not have any shear stress component.

How to Calculate Normal Stress when Member Subjected to Axial Load?

Normal Stress when Member Subjected to Axial Load calculator uses Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta) to calculate the Normal Stress on Oblique Plane, The Normal Stress when Member Subjected to Axial Load formula is defined as stress acting perpendicular to the plane. Normal Stress on Oblique Plane is denoted by σ_θ symbol.

How to calculate Normal Stress when Member Subjected to Axial Load using this online calculator? To use this online calculator for Normal Stress when Member Subjected to Axial Load, enter Stress along y Direction (σ_y) & Theta (θ) and hit the calculate button. Here is how the Normal Stress when Member Subjected to Axial Load calculation can be explained with given input values -> 5.5E-5 = 110000000*cos(2*0.5235987755982).

FAQ

What is Normal Stress when Member Subjected to Axial Load?

The Normal Stress when Member Subjected to Axial Load formula is defined as stress acting perpendicular to the plane and is represented as σ_θ = σ_y*cos(2*θ) or Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta). The Stress along y Direction can be described as axial stress along the given direction & The Theta is the angle subtended by a plane of a body when stress is applied.

How to calculate Normal Stress when Member Subjected to Axial Load?

The Normal Stress when Member Subjected to Axial Load formula is defined as stress acting perpendicular to the plane is calculated using Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta). To calculate Normal Stress when Member Subjected to Axial Load, you need Stress along y Direction (σ_y) & Theta (θ). With our tool, you need to enter the respective value for Stress along y Direction & Theta 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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