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

✖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 Induced Complementary Shear Stresses and Normal Stress on Oblique Plane [τ]

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

Formula

`"τ" = "σ"_{"θ"}/sin(2*"θ")`

Example

`"63.49698MPa"="54.99MPa"/sin(2*"30°")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

τ = σ_θ/sin(2*θ) --> 54990000/sin(2*0.5235987755982)

Evaluating ... ...

τ = 63496982.6054823

STEP 3: Convert Result to Output's Unit

63496982.6054823 Pascal -->63.4969826054823 Megapascal (Check conversion here)

FINAL ANSWER

63.4969826054823 ≈ 63.49698 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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< 6 Complementary Induced Stress Calculators

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

Go Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress)

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

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

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

Normal Stress when Complementary Shear Stresses Induced

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

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

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

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

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

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

Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta)
τ = σ_θ/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 Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane calculator uses Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta) to calculate the Shear Stress, The Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane formula is defined as the magnitude of shear stress generated due to the combined effect of complementary shear stresses and normal stress on a member plane. Shear Stress is denoted by τ symbol.

How to calculate Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane using this online calculator? To use this online calculator for Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane, enter Normal Stress on Oblique Plane (σ_θ) & Theta (θ) and hit the calculate button. Here is how the Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane calculation can be explained with given input values -> 6.4E-5 = 54990000/sin(2*0.5235987755982).

FAQ

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

The Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane formula is defined as the magnitude of shear stress generated due to the combined effect of complementary shear stresses and normal stress on a member plane and is represented as τ = σ_θ/sin(2*θ) or Shear Stress = Normal Stress on Oblique Plane/sin(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 Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane?

The Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane formula is defined as the magnitude of shear stress generated due to the combined effect of complementary shear stresses and normal stress on a member plane is calculated using Shear Stress = Normal Stress on Oblique Plane/sin(2*Theta). To calculate Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane, 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 Shear Stress?

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

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

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