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

✖Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.ⓘ Normal Stress on Oblique Plane [σ_θ]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖The Stress along y Direction can be described as axial stress along the given direction.ⓘ Stress along Y-direction when Member Subjected to Axial Load [σ_y]

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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))
σ_y = σ_θ/(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

σ_y = σ_θ/(cos(2*θ)) --> 54990000/(cos(2*0.5235987755982))

Evaluating ... ...

σ_y = 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)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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)

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

LaTeX Go

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