Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced 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%
✖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.ⓘ Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced [θ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress)
θ = 0.5*arccos(τ_θ/τ)
This formula uses 2 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)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress on Oblique Plane: 28.145 Megapascal --> 28145000 Pascal (Check conversion here)
Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 0.5*arccos(τ_θ/τ) --> 0.5*arccos(28145000/55000000)

Evaluating ... ...

θ = 0.516801144463411

STEP 3: Convert Result to Output's Unit

0.516801144463411 Radian -->29.6105244252898 Degree (Check conversion here)

FINAL ANSWER

29.6105244252898 ≈ 29.61052 Degree <-- Theta

(Calculation completed in 00.020 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)

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

LaTeX Go

Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress)
θ = 0.5*arccos(τ_θ/τ)

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

Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced calculator uses Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress) to calculate the Theta, The Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced formula is defined as the angle between the vertical and inclination of the plane to the vertical. Theta is denoted by θ symbol.

How to calculate Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced using this online calculator? To use this online calculator for Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced, enter Shear Stress on Oblique Plane (τ_θ) & Shear Stress (τ) and hit the calculate button. Here is how the Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced calculation can be explained with given input values -> 1696.558 = 0.5*arccos(28145000/55000000).

FAQ

What is Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced?

The Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced formula is defined as the angle between the vertical and inclination of the plane to the vertical and is represented as θ = 0.5*arccos(τ_θ/τ) or Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress). The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle & Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced?

The Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced formula is defined as the angle between the vertical and inclination of the plane to the vertical is calculated using Theta = 0.5*arccos(Shear Stress on Oblique Plane/Shear Stress). To calculate Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced, you need Shear Stress on Oblique Plane (τ_θ) & Shear Stress (τ). With our tool, you need to enter the respective value for Shear Stress on Oblique Plane & Shear Stress 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 Theta?

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

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

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