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_m]

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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_m = (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: 1.24E-07 Newton per Square Meter --> 1.24E-07 Pascal (Check conversion here)
Minor Tensile Stress: 11196 Newton per Square Meter --> 11196 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_m = (σ₁-σ₂)/2 --> (1.24E-07-11196)/2

Evaluating ... ...

𝜏_m = -5597.999999938

STEP 3: Convert Result to Output's Unit

-5597.999999938 Pascal -->-0.005597999999938 Megapascal (Check conversion here)

FINAL ANSWER

-0.005597999999938 ≈ -0.005598 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.004 seconds)

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LaTeX Go Maximum Shear Stress = sqrt((Stress Acting Along X Direction-Stress Acting Along Y Direction)^2+4*Shear Stress^2)/2

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LaTeX Go Plane Angle = 1/2*atan((Stress Acting Along X Direction-Stress Acting Along Y Direction)/(2*Shear Stress))

Shear Stress using Obliquity

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

Maximum Shear Stress given Major and Minor Tensile Stress

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

Maximum Shear Stress given Major and Minor Tensile Stress Formula

LaTeX Go

Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2
𝜏_m = (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, Maximum Shear Stress given Major and Minor Tensile Stress formula is defined as a measure of the maximum shear stress that occurs in a material when it is subjected to principal stresses, providing a critical value for material failure analysis and structural integrity assessment. Maximum Shear Stress is denoted by 𝜏_m 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 -> -5.6E-9 = (1.24E-07-11196)/2.

FAQ

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

Maximum Shear Stress given Major and Minor Tensile Stress formula is defined as a measure of the maximum shear stress that occurs in a material when it is subjected to principal stresses, providing a critical value for material failure analysis and structural integrity assessment and is represented as 𝜏_m = (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?

Maximum Shear Stress given Major and Minor Tensile Stress formula is defined as a measure of the maximum shear stress that occurs in a material when it is subjected to principal stresses, providing a critical value for material failure analysis and structural integrity assessment 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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