Stress along Y-direction when Member Subjected to Axial Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta))
σy = σθ/(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
Stress along y Direction - (Measured in Pascal) - The Stress along y Direction can be described as axial stress along the given direction.
Normal Stress on Oblique Plane - (Measured in Pascal) - Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.
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
Normal Stress on Oblique Plane: 54.99 Megapascal --> 54990000 Pascal (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σy = σθ/(cos(2*θ)) --> 54990000/(cos(2*0.5235987755982))
Evaluating ... ...
σy = 109979999.999962
STEP 3: Convert Result to Output's Unit
109979999.999962 Pascal -->109.979999999962 Megapascal (Check conversion here)
FINAL ANSWER
109.979999999962 109.98 Megapascal <-- Stress along y Direction
(Calculation completed in 00.004 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 Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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)

Stress along Y-direction when Member Subjected to Axial Load Formula

Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta))
σy = σθ/(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 Stress along Y-direction when Member Subjected to Axial Load?

Stress along Y-direction when Member Subjected to Axial Load calculator uses Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)) to calculate the Stress along y Direction, The Stress along Y-direction when Member Subjected to Axial Load formula is defined as calculating principal stress in the Y direction on the oblique plane when the member is subjected to axial load only. Stress along y Direction is denoted by σy symbol.

How to calculate Stress along Y-direction when Member Subjected to Axial Load using this online calculator? To use this online calculator for Stress along Y-direction when Member Subjected to Axial Load, enter Normal Stress on Oblique Plane θ) & Theta (θ) and hit the calculate button. Here is how the Stress along Y-direction when Member Subjected to Axial Load calculation can be explained with given input values -> 0.00011 = 54990000/(cos(2*0.5235987755982)).

FAQ

What is Stress along Y-direction when Member Subjected to Axial Load?
The Stress along Y-direction when Member Subjected to Axial Load formula is defined as calculating principal stress in the Y direction on the oblique plane when the member is subjected to axial load only and is represented as σy = σθ/(cos(2*θ)) or Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)). Normal Stress on Oblique Plane is the stress acting normally to its oblique plane & The Theta is the angle subtended by a plane of a body when stress is applied.
How to calculate Stress along Y-direction when Member Subjected to Axial Load?
The Stress along Y-direction when Member Subjected to Axial Load formula is defined as calculating principal stress in the Y direction on the oblique plane when the member is subjected to axial load only is calculated using Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta)). To calculate Stress along Y-direction when Member Subjected to Axial Load, you need Normal Stress on Oblique Plane θ) & Theta (θ). With our tool, you need to enter the respective value for Normal Stress on Oblique Plane & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Stress along y Direction?
In this formula, Stress along y Direction uses Normal Stress on Oblique Plane & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Stress along y Direction = Shear Stress on Oblique Plane/(0.5*sin(2*Theta))
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