Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Calculator

✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [τ]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.ⓘ Shear Stress along Oblique Plane when Complementary Shear Stresses Induced [τ_θ]

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Shear Stress along Oblique Plane when Complementary Shear Stresses Induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta)
τ_θ = τ*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 on Oblique Plane - (Measured in Pascal) - The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.
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.
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: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_θ = τ*cos(2*θ) --> 55000000*cos(2*0.5235987755982)

Evaluating ... ...

τ_θ = 27500000.0000094

STEP 3: Convert Result to Output's Unit

27500000.0000094 Pascal -->27.5000000000094 Megapascal (Check conversion here)

FINAL ANSWER

27.5000000000094 ≈ 27.5 Megapascal <-- Shear Stress on Oblique Plane

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 along Oblique Plane when Complementary Shear Stresses Induced Formula

LaTeX Go

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

What are Complementary 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 along Oblique Plane when Complementary Shear Stresses Induced?

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced calculator uses Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta) to calculate the Shear Stress on Oblique Plane, The Shear Stress along Oblique Plane when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the shear stress developed as a result of the action of a pair of complementary shear stresses on the plane. Shear Stress on Oblique Plane is denoted by τ_θ symbol.

How to calculate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced using this online calculator? To use this online calculator for Shear Stress along Oblique Plane when Complementary Shear Stresses Induced, enter Shear Stress (τ) & Theta (θ) and hit the calculate button. Here is how the Shear Stress along Oblique Plane when Complementary Shear Stresses Induced calculation can be explained with given input values -> 2.8E-5 = 55000000*cos(2*0.5235987755982).

FAQ

What is Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

The Shear Stress along Oblique Plane when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the shear stress developed as a result of the action of a pair of complementary shear stresses on the plane and is represented as τ_θ = τ*cos(2*θ) or Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta). Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Theta is the angle subtended by a plane of a body when stress is applied.

How to calculate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced?

The Shear Stress along Oblique Plane when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the shear stress developed as a result of the action of a pair of complementary shear stresses on the plane is calculated using Shear Stress on Oblique Plane = Shear Stress*cos(2*Theta). To calculate Shear Stress along Oblique Plane when Complementary Shear Stresses Induced, you need Shear Stress (τ) & Theta (θ). With our tool, you need to enter the respective value for Shear Stress & 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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