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)
σθ = σy*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
σθ = σy*cos(2*θ) --> 110000000*cos(2*0.5235987755982)
Evaluating ... ...
σθ = 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 00.007 seconds)

Credits

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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6 Stresses of Members Subjected to Axial Loading Calculators

Angle of Oblique Plane using Shear Stress and Axial Load
Go Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2
Stress along Y-direction given Shear Stress in Member subjected to Axial Load
Go Stress along y Direction = Shear Stress on Oblique Plane/(0.5*sin(2*Theta))
Angle of Oblique plane when Member Subjected to Axial Loading
Go Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2
Shear Stress when Member Subjected to Axial Load
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
Go Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta))
Normal Stress when Member Subjected to Axial Load
Go Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)

Normal Stress when Member Subjected to Axial Load Formula

Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)
σθ = σy*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 σθ 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 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 σθ = σy*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 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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