Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane Calculator

✖The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.ⓘ Shear Stress on Oblique Plane [τ_θ]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane [τ]

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Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta)
τ = τ_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

Shear Stress - (Measured in Pascal) - Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Shear Stress on Oblique Plane - (Measured in Pascal) - The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.
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

Shear Stress on Oblique Plane: 28.145 Megapascal --> 28145000 Pascal (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = τ_θ/cos(2*θ) --> 28145000/cos(2*0.5235987755982)

Evaluating ... ...

τ = 56289999.9999807

STEP 3: Convert Result to Output's Unit

56289999.9999807 Pascal -->56.2899999999807 Megapascal (Check conversion here)

FINAL ANSWER

56.2899999999807 ≈ 56.29 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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< Complementary Induced Stress Calculators

Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced

LaTeX Go Theta = (asin(Normal Stress on Oblique Plane/Shear Stress))/2

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane

LaTeX Go Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta)

Normal Stress when Complementary Shear Stresses Induced

LaTeX Go Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta)

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

LaTeX Go Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta)

Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane Formula

LaTeX Go

Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta)
τ = τ_θ/cos(2*θ)

What are Complentary Shear Stresses?

A set of shear stresses acting across a plane will always be accompanied by a set of balancing shear stresses of similar intensity across the plane and acting normal to it.

What is Induced Stress?

The force of resistance per unit area, offered by a body against deformation is known as stress. The external force acting on the body is called the load or force. The load is applied on the body while the stress is induced in the material of the body.

How to Calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane calculator uses Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta) to calculate the Shear Stress, The Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane formula is defined as calculating the magnitude of shear stress that is generated on a plane as a result of the application of the combination of stresses. Shear Stress is denoted by τ symbol.

How to calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane using this online calculator? To use this online calculator for Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane, enter Shear Stress on Oblique Plane (τ_θ) & Theta (θ) and hit the calculate button. Here is how the Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane calculation can be explained with given input values -> 5.6E-5 = 28145000/cos(2*0.5235987755982).

FAQ

What is Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

The Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane formula is defined as calculating the magnitude of shear stress that is generated on a plane as a result of the application of the combination of stresses and is represented as τ = τ_θ/cos(2*θ) or Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta). The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle & The Theta is the angle subtended by a plane of a body when stress is applied.

How to calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane?

The Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane formula is defined as calculating the magnitude of shear stress that is generated on a plane as a result of the application of the combination of stresses is calculated using Shear Stress = Shear Stress on Oblique Plane/cos(2*Theta). To calculate Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane, you need Shear Stress on Oblique Plane (τ_θ) & Theta (θ). With our tool, you need to enter the respective value for Shear 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 Shear Stress?

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

Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta)

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