FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Maximum Shear Stress given Member is under Direct and Shear Stress Formula

GoMaximum Shear Stress given Major and Minor Tensile Stress Formula

Fx Copy

LaTeX Copy

Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces. Check FAQs

𝜏 m = \frac{\sqrt{{(σ x - σ y)}^{2} + 4 \cdot 𝜏^{2}}}{2}

𝜏_m - Maximum Shear Stress?σ_x - Stress Acting Along X Direction?σ_y - Stress Acting Along Y Direction?𝜏 - Shear Stress?

Maximum Shear Stress given Member is under Direct and Shear Stress Example

With values

With units

Only example

Here is how the Maximum Shear Stress given Member is under Direct and Shear Stress equation looks like with Values.

Here is how the Maximum Shear Stress given Member is under Direct and Shear Stress equation looks like with Units.

Here is how the Maximum Shear Stress given Member is under Direct and Shear Stress equation looks like.

2.4047 = \frac{\sqrt{{(0.5 - 0.8)}^{2} + 4 \cdot {2.4}^{2}}}{2}

2.4047MPa = \frac{\sqrt{{(0.5MPa - 0.8MPa)}^{2} + 4 \cdot {2.4MPa}^{2}}}{2}

2.4047 = \frac{\sqrt{{(0.5 - 0.8)}^{2} + 4 \cdot {2.4}^{2}}}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Maximum Shear Stress given Member is under Direct and Shear Stress

Maximum Shear Stress given Member is under Direct and Shear Stress Solution

Follow our step by step solution on how to calculate Maximum Shear Stress given Member is under Direct and Shear Stress?

FIRST Step Consider the formula

𝜏 m = \frac{\sqrt{{(σ x - σ y)}^{2} + 4 \cdot 𝜏^{2}}}{2}

Next Step Substitute values of Variables

∴

𝜏 m = \frac{\sqrt{{(0.5MPa - 0.8MPa)}^{2} + 4 \cdot {2.4MPa}^{2}}}{2}

Next Step Convert Units

∴

𝜏 m = \frac{\sqrt{{(500000Pa - 800000Pa)}^{2} + 4 \cdot {2.4E+6Pa}^{2}}}{2}

Next Step Prepare to Evaluate

∴

𝜏 m = \frac{\sqrt{{(500000 - 800000)}^{2} + 4 \cdot {2.4E+6}^{2}}}{2}

Next Step Evaluate

∴

𝜏 m = 2404682.93128221Pa

Next Step Convert to Output's Unit

∴

𝜏 m = 2.40468293128221MPa

LAST Step Rounding Answer

∴

𝜏 m = 2.4047MPa

Maximum Shear Stress given Member is under Direct and Shear Stress Formula Elements

Variables

Functions

Maximum Shear Stress

Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_m

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress

Stress Acting Along X Direction

Stress Acting Along X Direction is the stress acting along x-direction.

Symbol: σ_x

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress Acting Along X Direction

Stress Acting Along Y Direction

Stress Acting Along Y Direction is stress acting along y direction is denoted by σy.

Symbol: σ_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress Acting Along Y Direction

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Maximum Shear Stress

Go Maximum Shear Stress given Major and Minor Tensile Stress

𝜏 m = \frac{σ 1 - σ 2}{2}

Other formulas in Shear Stress category

Go Shear Stress using Obliquity

𝜏 = \tan (ϕ) \cdot σ n

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

θ pl = \frac{1}{2} \cdot a \tan (\frac{σ x - σ y}{2 \cdot 𝜏})

How to Evaluate Maximum Shear Stress given Member is under Direct and Shear Stress?

Maximum Shear Stress given Member is under Direct and Shear Stress evaluator uses Maximum Shear Stress = sqrt((Stress Acting Along X Direction-Stress Acting Along Y Direction)^2+4*Shear Stress^2)/2 to evaluate the Maximum Shear Stress, Maximum Shear Stress given Member is under Direct and Shear Stress formula is defined as a measure of the maximum shear stress experienced by a member when it is subjected to both direct and shear stresses, providing a critical value for structural analysis and design. Maximum Shear Stress is denoted by 𝜏_m symbol.

How to evaluate Maximum Shear Stress given Member is under Direct and Shear Stress using this online evaluator? To use this online evaluator for Maximum Shear Stress given Member is under Direct and Shear Stress, enter Stress Acting Along X Direction (σ_x), Stress Acting Along Y Direction (σ_y) & Shear Stress (𝜏) and hit the calculate button.

FAQs on Maximum Shear Stress given Member is under Direct and Shear Stress

What is the formula to find Maximum Shear Stress given Member is under Direct and Shear Stress?

The formula of Maximum Shear Stress given Member is under Direct and Shear Stress is expressed as Maximum Shear Stress = sqrt((Stress Acting Along X Direction-Stress Acting Along Y Direction)^2+4*Shear Stress^2)/2. Here is an example- 2.4E-6 = sqrt((500000-800000)^2+4*2400000^2)/2.

How to calculate Maximum Shear Stress given Member is under Direct and Shear Stress?

With Stress Acting Along X Direction (σ_x), Stress Acting Along Y Direction (σ_y) & Shear Stress (𝜏) we can find Maximum Shear Stress given Member is under Direct and Shear Stress using the formula - Maximum Shear Stress = sqrt((Stress Acting Along X Direction-Stress Acting Along Y Direction)^2+4*Shear Stress^2)/2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Shear Stress?

Here are the different ways to Calculate Maximum Shear Stress-

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

Can the Maximum Shear Stress given Member is under Direct and Shear Stress be negative?

Yes, the Maximum Shear Stress given Member is under Direct and Shear Stress, measured in Stress can be negative.

Which unit is used to measure Maximum Shear Stress given Member is under Direct and Shear Stress?

Maximum Shear Stress given Member is under Direct and Shear Stress is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Maximum Shear Stress given Member is under Direct and Shear Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Maximum Shear Stress given Member is under Direct and Shear Stress Formula

​GoMaximum Shear Stress given Major and Minor Tensile Stress Formula

Maximum Shear Stress given Member is under Direct and Shear Stress Example

Maximum Shear Stress given Member is under Direct and Shear Stress Solution

Maximum Shear Stress given Member is under Direct and Shear Stress Formula Elements

Other Formulas to find Maximum Shear Stress

Other formulas in Shear Stress category

How to Evaluate Maximum Shear Stress given Member is under Direct and Shear Stress?

FAQs on Maximum Shear Stress given Member is under Direct and Shear Stress

Variable Name

GoMaximum Shear Stress given Major and Minor Tensile Stress Formula