Maximum Shear Stress when Member is Subjected to like Principal Stresses Calculator

✖The Stress along y Direction can be described as axial stress along the given direction.ⓘ Stress along y Direction [σ_y]			+10% -10%
✖The Stress along x Direction can be described as axial stress along the given direction.ⓘ Stress along x Direction [σ_x]			+10% -10%

✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress when Member is Subjected to like Principal Stresses [τ_max]

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Maximum Shear Stress when Member is Subjected to like Principal Stresses

Formula

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

Example

`"32.5MPa"=1/2*("110MPa"-"45MPa")`

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Maximum Shear Stress when Member is Subjected to like Principal Stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction)
τ_max = 1/2*(σ_y-σ_x)
This formula uses 3 Variables

Variables Used

Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Stress along y Direction - (Measured in Pascal) - The Stress along y Direction can be described as axial stress along the given direction.
Stress along x Direction - (Measured in Pascal) - The Stress along x Direction can be described as axial stress along the given direction.

STEP 1: Convert Input(s) to Base Unit

Stress along y Direction: 110 Megapascal --> 110000000 Pascal (Check conversion here)
Stress along x Direction: 45 Megapascal --> 45000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_max = 1/2*(σ_y-σ_x) --> 1/2*(110000000-45000000)

Evaluating ... ...

τ_max = 32500000

STEP 3: Convert Result to Output's Unit

32500000 Pascal -->32.5 Megapascal (Check conversion here)

FINAL ANSWER

32.5 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 3 Maximum Shear Stress on the Biaxial Loading Calculators

Maximum Shear Stress when Member is Subjected to like Principal Stresses

Go Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction)

Stress along X-Axis when Member is Subjected to like Principal Stresses and Max Shear Stress

Go Stress along x Direction = Stress along y Direction-(2*Maximum Shear Stress)

Stress along Y-Axis when Member is Subjected to like Principal Stresses and Max Shear Stress

Go Stress along y Direction = 2*Maximum Shear Stress+Stress along x Direction

Maximum Shear Stress when Member is Subjected to like Principal Stresses Formula

Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction)
τ_max = 1/2*(σ_y-σ_x)

What is Principal Stress?

The Principal Stresses are the maximum and minimum (extremum) extensional (normal) stresses in a stress state at a point. The principal directions are the corresponding directions. The principal directions have no shear stresses associated with them.

How to Calculate Maximum Shear Stress when Member is Subjected to like Principal Stresses?

Maximum Shear Stress when Member is Subjected to like Principal Stresses calculator uses Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction) to calculate the Maximum Shear Stress, The Maximum Shear Stress when Member is Subjected to like Principal Stresses formula is defined as maximum amount of stress acting in the direction of plane when the member is subjected to unequal but alike principal stresses. Maximum Shear Stress is denoted by τ_max symbol.

How to calculate Maximum Shear Stress when Member is Subjected to like Principal Stresses using this online calculator? To use this online calculator for Maximum Shear Stress when Member is Subjected to like Principal Stresses, enter Stress along y Direction (σ_y) & Stress along x Direction (σ_x) and hit the calculate button. Here is how the Maximum Shear Stress when Member is Subjected to like Principal Stresses calculation can be explained with given input values -> 3.3E-5 = 1/2*(110000000-45000000).

FAQ

What is Maximum Shear Stress when Member is Subjected to like Principal Stresses?

The Maximum Shear Stress when Member is Subjected to like Principal Stresses formula is defined as maximum amount of stress acting in the direction of plane when the member is subjected to unequal but alike principal stresses and is represented as τ_max = 1/2*(σ_y-σ_x) or Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction). The Stress along y Direction can be described as axial stress along the given direction & The Stress along x Direction can be described as axial stress along the given direction.

How to calculate Maximum Shear Stress when Member is Subjected to like Principal Stresses?

The Maximum Shear Stress when Member is Subjected to like Principal Stresses formula is defined as maximum amount of stress acting in the direction of plane when the member is subjected to unequal but alike principal stresses is calculated using Maximum Shear Stress = 1/2*(Stress along y Direction-Stress along x Direction). To calculate Maximum Shear Stress when Member is Subjected to like Principal Stresses, you need Stress along y Direction (σ_y) & Stress along x Direction (σ_x). With our tool, you need to enter the respective value for Stress along y Direction & Stress along x Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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