Maximum Shear Stress given Major and Minor Tensile Stress Calculator

✖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%

✖Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress given Major and Minor Tensile Stress [𝜏_max]

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Formula

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Maximum Shear Stress given Major and Minor Tensile Stress

Formula

`"𝜏"_{"max"} = ("σ"_{"1"}-"σ"_{"2"})/2`

Example

`"38MPa"=("124MPa"-"48MPa")/2`

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Maximum Shear Stress given Major and Minor Tensile Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2
𝜏_max = (σ₁-σ₂)/2
This formula uses 3 Variables

Variables Used

Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.
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

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

𝜏_max = (σ₁-σ₂)/2 --> (124000000-48000000)/2

Evaluating ... ...

𝜏_max = 38000000

STEP 3: Convert Result to Output's Unit

38000000 Pascal -->38 Megapascal (Check conversion here)

FINAL ANSWER

38 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.004 seconds)

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< 4 Shear Stress Calculators

Maximum Shear Stress given Member is under Direct and Shear Stress

Go Maximum Shear Stress = sqrt((Stress acting along x-direction-Stress acting along y-direction)^2+4*Shear Stress^2)/2

Condition for Maximum or Minimum Shear Stress given Member under Direct and Shear Stress

Go Plane Angle = 1/2*atan((Stress acting along x-direction-Stress acting along y-direction)/(2*Shear Stress))

Shear Stress using Obliquity

Go Shear Stress = tan(Angle of Obliquity)*Normal Stress

Maximum Shear Stress given Major and Minor Tensile Stress

Go Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2

Maximum Shear Stress given Major and Minor Tensile Stress Formula

Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2
𝜏_max = (σ₁-σ₂)/2

What is maximum shear stress?

Shear stress that acts coplanar with a cross-section of material, the angle made by oblique section with the normal is 45° or 135°.

How to Calculate Maximum Shear Stress given Major and Minor Tensile Stress?

Maximum Shear Stress given Major and Minor Tensile Stress calculator uses Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2 to calculate the Maximum Shear Stress, The Maximum Shear Stress given Major and Minor Tensile Stress formulas is defined as half of the difference between major tensile stress and minor tensile stress. Maximum Shear Stress is denoted by 𝜏_max symbol.

How to calculate Maximum Shear Stress given Major and Minor Tensile Stress using this online calculator? To use this online calculator for Maximum Shear Stress given Major and Minor Tensile Stress, enter Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂) and hit the calculate button. Here is how the Maximum Shear Stress given Major and Minor Tensile Stress calculation can be explained with given input values -> 3.8E-5 = (124000000-48000000)/2.

FAQ

What is Maximum Shear Stress given Major and Minor Tensile Stress?

The Maximum Shear Stress given Major and Minor Tensile Stress formulas is defined as half of the difference between major tensile stress and minor tensile stress and is represented as 𝜏_max = (σ₁-σ₂)/2 or Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2. Major Tensile Stress is the stress acting along the longitudinal direction & Minor Tensile Stress is the stress acting along lateral direction.

How to calculate Maximum Shear Stress given Major and Minor Tensile Stress?

The Maximum Shear Stress given Major and Minor Tensile Stress formulas is defined as half of the difference between major tensile stress and minor tensile stress is calculated using Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2. To calculate Maximum Shear Stress given Major and Minor Tensile Stress, you need Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂). With our tool, you need to enter the respective value for 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 Maximum Shear Stress?

In this formula, Maximum Shear Stress uses Major Tensile Stress & Minor Tensile Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Shear Stress = sqrt((Stress acting along x-direction-Stress acting along y-direction)^2+4*Shear Stress^2)/2

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