Maximum Shear Stress from Tresca Criterion Calculator

✖Largest principal stress (algebraically).ⓘ Largest principal stress [𝜎₁]			+10% -10%
✖Smallest principal stress (algebraically).ⓘ Smallest principal stress [σ₂]			+10% -10%

✖Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress from Tresca Criterion [𝜏_max]

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Maximum Shear Stress from Tresca Criterion

Formula

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

Example

`"35MPa"=("100MPa"-"30MPa")/2`

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Maximum Shear Stress from Tresca Criterion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress = (Largest principal stress-Smallest principal 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.
Largest principal stress - (Measured in Pascal) - Largest principal stress (algebraically).
Smallest principal stress - (Measured in Pascal) - Smallest principal stress (algebraically).

STEP 1: Convert Input(s) to Base Unit

Largest principal stress: 100 Megapascal --> 100000000 Pascal (Check conversion here)
Smallest principal stress: 30 Megapascal --> 30000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_max = (𝜎₁-σ₂)/2 --> (100000000-30000000)/2

Evaluating ... ...

𝜏_max = 35000000

STEP 3: Convert Result to Output's Unit

35000000 Pascal -->35 Megapascal (Check conversion here)

FINAL ANSWER

35 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.020 seconds)

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Credits

Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 10+ Stress and Strain Calculators

Strain hardening exponent

Go Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain)

Resolved shear stress

Go Resolved shear stress = Applied stress*cos(Slip plane angle)*cos(Slip direction angle)

Engineering strain

Go Engineering strain = (Instantaneous length-Initial Length)/Initial Length

True strain

Go True strain = ln(Instantaneous length/Initial Length)

Maximum Shear Stress from Tresca Criterion

Go Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2

True stress

Go True stress = Engineering stress*(1+Engineering strain)

Engineering stress

Go Engineering stress = Load/Cross-sectional Area

Safe stress

Go Safe Stress = Yield Strength/Factor of Safety

True strain from Engineering strain

Go True strain = ln(1+Engineering strain)

Maximum Shear Stress from Von Mises Criterion

Go Maximum Shear Stress = 0.577*Yield Strength

Maximum Shear Stress from Tresca Criterion Formula

Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2
𝜏_max = (𝜎₁-σ₂)/2

Tresca yield criterion

According to Tresca yield criterion, yielding occurs when the maximum shear stress reaches the value of shear stress in uniaxial shear stress.

How to Calculate Maximum Shear Stress from Tresca Criterion?

Maximum Shear Stress from Tresca Criterion calculator uses Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2 to calculate the Maximum Shear Stress, The Maximum Shear Stress from Tresca Criterion is the maximum concentrated shear force in a small area. According to the Tresca yield criterion, yielding occurs when the maximum shear stress reaches the value of shear stress in uniaxial shear stress. Maximum Shear Stress is denoted by 𝜏_max symbol.

How to calculate Maximum Shear Stress from Tresca Criterion using this online calculator? To use this online calculator for Maximum Shear Stress from Tresca Criterion, enter Largest principal stress (𝜎₁) & Smallest principal stress (σ₂) and hit the calculate button. Here is how the Maximum Shear Stress from Tresca Criterion calculation can be explained with given input values -> 3.5E-5 = (100000000-30000000)/2.

FAQ

What is Maximum Shear Stress from Tresca Criterion?

How to calculate Maximum Shear Stress from Tresca Criterion?

The Maximum Shear Stress from Tresca Criterion is the maximum concentrated shear force in a small area. According to the Tresca yield criterion, yielding occurs when the maximum shear stress reaches the value of shear stress in uniaxial shear stress is calculated using Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2. To calculate Maximum Shear Stress from Tresca Criterion, you need Largest principal stress (𝜎₁) & Smallest principal stress (σ₂). With our tool, you need to enter the respective value for Largest principal stress & Smallest principal 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 Largest principal stress & Smallest principal stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Shear Stress = 0.577*Yield Strength

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