Angle of Oblique plane when Member Subjected to Axial Loading 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 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.ⓘ Angle of Oblique plane when Member Subjected to Axial Loading [θ]

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Angle of Oblique plane when Member Subjected to Axial Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2
θ = (acos(σ_θ/σ_y))/2
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.
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.

STEP 1: Convert Input(s) to Base Unit

Normal Stress on Oblique Plane: 54.99 Megapascal --> 54990000 Pascal (Check conversion here)
Stress along y Direction: 110 Megapascal --> 110000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (acos(σ_θ/σ_y))/2 --> (acos(54990000/110000000))/2

Evaluating ... ...

θ = 0.523651260396103

STEP 3: Convert Result to Output's Unit

0.523651260396103 Radian -->30.0030071574084 Degree (Check conversion here)

FINAL ANSWER

30.0030071574084 ≈ 30.00301 Degree <-- Theta

(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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< 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)

Angle of Oblique plane when Member Subjected to Axial Loading Formula

LaTeX Go

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

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 Angle of Oblique plane when Member Subjected to Axial Loading?

Angle of Oblique plane when Member Subjected to Axial Loading calculator uses Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2 to calculate the Theta, The Angle of Oblique plane when Member Subjected to Axial Loading formula is defined as calculating the angle of an oblique plane which is being acted upon by normal stress and stress in the x-direction. Theta is denoted by θ symbol.

How to calculate Angle of Oblique plane when Member Subjected to Axial Loading using this online calculator? To use this online calculator for Angle of Oblique plane when Member Subjected to Axial Loading, enter Normal Stress on Oblique Plane (σ_θ) & Stress along y Direction (σ_y) and hit the calculate button. Here is how the Angle of Oblique plane when Member Subjected to Axial Loading calculation can be explained with given input values -> 1718.873 = (acos(54990000/110000000))/2.

FAQ

What is Angle of Oblique plane when Member Subjected to Axial Loading?

The Angle of Oblique plane when Member Subjected to Axial Loading formula is defined as calculating the angle of an oblique plane which is being acted upon by normal stress and stress in the x-direction and is represented as θ = (acos(σ_θ/σ_y))/2 or Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2. Normal Stress on Oblique Plane is the stress acting normally to its oblique plane & The Stress along y Direction can be described as axial stress along the given direction.

How to calculate Angle of Oblique plane when Member Subjected to Axial Loading?

The Angle of Oblique plane when Member Subjected to Axial Loading formula is defined as calculating the angle of an oblique plane which is being acted upon by normal stress and stress in the x-direction is calculated using Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2. To calculate Angle of Oblique plane when Member Subjected to Axial Loading, you need Normal Stress on Oblique Plane (σ_θ) & Stress along y Direction (σ_y). With our tool, you need to enter the respective value for Normal Stress on Oblique Plane & Stress along y Direction 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 Theta?

In this formula, Theta uses Normal Stress on Oblique Plane & Stress along y Direction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2

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