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 = τθ/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 = τθ/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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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 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 = τθ/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 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 = τθ/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 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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