Tangential Stress on Oblique Section given Stress in Perpendicular Directions Calculator

✖Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ.ⓘ Angle made by Oblique Section with Normal [θ_oblique]			+10% -10%
✖Major Tensile Stress is the stress acting along the longitudinal direction.ⓘ Major Tensile Stress [σ₁]			+10% -10%
✖Minor Tensile Stress is the stress acting along lateral direction.ⓘ Minor Tensile Stress [σ₂]			+10% -10%

✖Tangential Stress is the stress experienced by the object when the direction of the deforming force parallel to the cross-sectional area, it is called as shearing stress.ⓘ Tangential Stress on Oblique Section given Stress in Perpendicular Directions [σ_t]

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Formula

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Tangential Stress on Oblique Section given Stress in Perpendicular Directions

Formula

`"σ"_{"t"} = sin(2*"θ"_{"oblique"})*("σ"_{"1"}-"σ"_{"2"})/2`

Example

`"19MPa"=sin(2*"15°")*("124MPa"-"48MPa")/2`

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Tangential Stress on Oblique Section given Stress in Perpendicular Directions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2
σ_t = sin(2*θ_oblique)*(σ₁-σ₂)/2
This formula uses 1 Functions, 4 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

Tangential Stress - (Measured in Pascal) - Tangential Stress is the stress experienced by the object when the direction of the deforming force parallel to the cross-sectional area, it is called as shearing stress.
Angle made by Oblique Section with Normal - (Measured in Radian) - Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ.
Major Tensile Stress - (Measured in Pascal) - Major Tensile Stress is the stress acting along the longitudinal direction.
Minor Tensile Stress - (Measured in Pascal) - Minor Tensile Stress is the stress acting along lateral direction.

STEP 1: Convert Input(s) to Base Unit

Angle made by Oblique Section with Normal: 15 Degree --> 0.2617993877991 Radian (Check conversion here)
Major Tensile Stress: 124 Megapascal --> 124000000 Pascal (Check conversion here)
Minor Tensile Stress: 48 Megapascal --> 48000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_t = sin(2*θ_oblique)*(σ₁-σ₂)/2 --> sin(2*0.2617993877991)*(124000000-48000000)/2

Evaluating ... ...

σ_t = 19000000

STEP 3: Convert Result to Output's Unit

19000000 Pascal -->19 Megapascal (Check conversion here)

FINAL ANSWER

19 Megapascal <-- Tangential Stress

(Calculation completed in 00.004 seconds)

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< 2 Tangential Stress Calculators

Tangential Stress on Oblique Section given Stress in Perpendicular Directions

Go Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2

Tangential Stress across Oblique Section

Go Tangential Stress = Stress in Bar/2*sin(2*Angle made by Oblique Section with Normal)

Tangential Stress on Oblique Section given Stress in Perpendicular Directions Formula

Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2
σ_t = sin(2*θ_oblique)*(σ₁-σ₂)/2

What is tangential stress?

Tangential stress is the stress experienced by the object when the direction of the deforming force parallel to the cross-sectional area, it is called as shearing stress.

How to Calculate Tangential Stress on Oblique Section given Stress in Perpendicular Directions?

Tangential Stress on Oblique Section given Stress in Perpendicular Directions calculator uses Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2 to calculate the Tangential Stress, The Tangential Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the product of sin(2θ) and half of the difference between major tensile stress, and minor tensile stress. Tangential Stress is denoted by σ_t symbol.

How to calculate Tangential Stress on Oblique Section given Stress in Perpendicular Directions using this online calculator? To use this online calculator for Tangential Stress on Oblique Section given Stress in Perpendicular Directions, enter Angle made by Oblique Section with Normal (θ_oblique), Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂) and hit the calculate button. Here is how the Tangential Stress on Oblique Section given Stress in Perpendicular Directions calculation can be explained with given input values -> 1.9E-5 = sin(2*0.2617993877991)*(124000000-48000000)/2.

FAQ

What is Tangential Stress on Oblique Section given Stress in Perpendicular Directions?

The Tangential Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the product of sin(2θ) and half of the difference between major tensile stress, and minor tensile stress and is represented as σ_t = sin(2*θ_oblique)*(σ₁-σ₂)/2 or Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2. Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ, Major Tensile Stress is the stress acting along the longitudinal direction & Minor Tensile Stress is the stress acting along lateral direction.

How to calculate Tangential Stress on Oblique Section given Stress in Perpendicular Directions?

The Tangential Stress on Oblique Section given Stress in Perpendicular Directions formula is defined as the product of sin(2θ) and half of the difference between major tensile stress, and minor tensile stress is calculated using Tangential Stress = sin(2*Angle made by Oblique Section with Normal)*(Major Tensile Stress-Minor Tensile Stress)/2. To calculate Tangential Stress on Oblique Section given Stress in Perpendicular Directions, you need Angle made by Oblique Section with Normal (θ_oblique), Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂). With our tool, you need to enter the respective value for Angle made by Oblique Section with Normal, Major Tensile Stress & Minor Tensile 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 Tangential Stress?

In this formula, Tangential Stress uses Angle made by Oblique Section with Normal, Major Tensile Stress & Minor Tensile Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tangential Stress = Stress in Bar/2*sin(2*Angle made by Oblique Section with Normal)

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