Normal Stress 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%

✖Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.ⓘ Normal Stress when Complementary Shear Stresses Induced [σ_θ]

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Normal Stress when Complementary Shear Stresses Induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta)
σ_θ = τ*sin(2*θ)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Normal Stress on Oblique Plane - (Measured in Pascal) - Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.
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

σ_θ = τ*sin(2*θ) --> 55000000*sin(2*0.5235987755982)

Evaluating ... ...

σ_θ = 47631397.2081387

STEP 3: Convert Result to Output's Unit

47631397.2081387 Pascal -->47.6313972081387 Megapascal (Check conversion here)

FINAL ANSWER

47.6313972081387 ≈ 47.6314 Megapascal <-- Normal Stress on Oblique Plane

(Calculation completed in 00.007 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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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)

Normal Stress when Complementary Shear Stresses Induced Formula

LaTeX Go

Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta)
σ_θ = τ*sin(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 Normal Stress when Complementary Shear Stresses Induced?

Normal Stress when Complementary Shear Stresses Induced calculator uses Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta) to calculate the Normal Stress on Oblique Plane, The Normal Stress when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the magnitude of stress generated when the member is subjected to a pair of equal and opposite shear stresses. Normal Stress on Oblique Plane is denoted by σ_θ symbol.

How to calculate Normal Stress when Complementary Shear Stresses Induced using this online calculator? To use this online calculator for Normal Stress when Complementary Shear Stresses Induced, enter Shear Stress (τ) & Theta (θ) and hit the calculate button. Here is how the Normal Stress when Complementary Shear Stresses Induced calculation can be explained with given input values -> 4.8E-5 = 55000000*sin(2*0.5235987755982).

FAQ

What is Normal Stress when Complementary Shear Stresses Induced?

The Normal Stress when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the magnitude of stress generated when the member is subjected to a pair of equal and opposite shear stresses and is represented as σ_θ = τ*sin(2*θ) or Normal Stress on Oblique Plane = Shear Stress*sin(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 Normal Stress when Complementary Shear Stresses Induced?

The Normal Stress when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the magnitude of stress generated when the member is subjected to a pair of equal and opposite shear stresses is calculated using Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta). To calculate Normal Stress 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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