FormulaDen.com

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

Maximum Value of Shear Stress Formula

Fx Copy

LaTeX Copy

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area. Check FAQs

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

τ_max - Maximum Shear Stress?σ_x - Stress Along x Direction?σ_y - Stress Along y Direction?τ - Shear Stress in Mpa?

Maximum Value of Shear Stress Example

With values

With units

Only example

Here is how the Maximum Value of Shear Stress equation looks like with Values.

Here is how the Maximum Value of Shear Stress equation looks like with Units.

Here is how the Maximum Value of Shear Stress equation looks like.

55.2675 = \sqrt{{(\frac{95 - 22}{2})}^{2} + {41.5}^{2}}

55.2675MPa = \sqrt{{(\frac{95MPa - 22MPa}{2})}^{2} + {41.5MPa}^{2}}

55.2675 = \sqrt{{(\frac{95 - 22}{2})}^{2} + {41.5}^{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 Value of Shear Stress

Maximum Value of Shear Stress Solution

Follow our step by step solution on how to calculate Maximum Value of Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ max = \sqrt{{(\frac{95MPa - 22MPa}{2})}^{2} + {41.5MPa}^{2}}

Next Step Convert Units

∴

τ max = \sqrt{{(\frac{9.5E+7Pa - 2.2E+7Pa}{2})}^{2} + {4.2E+7Pa}^{2}}

Next Step Prepare to Evaluate

∴

τ max = \sqrt{{(\frac{9.5E+7 - 2.2E+7}{2})}^{2} + {4.2E+7}^{2}}

Next Step Evaluate

∴

τ max = 55267531.1552814Pa

Next Step Convert to Output's Unit

∴

τ max = 55.2675311552814MPa

LAST Step Rounding Answer

∴

τ max = 55.2675MPa

Maximum Value of Shear Stress Formula Elements

Variables

Functions

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

Stress Along x Direction

Stress Along x Direction is the force per unit area acting on a material in the positive x-axis orientation.

Symbol: σ_x

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress Along x Direction

Stress Along y Direction

Stress Along y Direction is the force per unit area acting perpendicular to the y-axis in a material or structure.

Symbol: σ_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress Along y Direction

Shear Stress in Mpa

Shear Stress in Mpa, 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 in Mpa

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 in Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular and a Simple Shear Stress category

Go Condition for Maximum Value of Normal Stress

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

Go Condition for Minimum Normal Stress

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

Go Maximum Value of Normal Stress

σ n,max = \frac{σ x + σ y}{2} + \sqrt{{(\frac{σ x - σ y}{2})}^{2} + τ^{2}}

Go Minimum Value of Normal Stress

σ n,min = \frac{σ x + σ y}{2} - \sqrt{{(\frac{σ x - σ y}{2})}^{2} + τ^{2}}

How to Evaluate Maximum Value of Shear Stress?

Maximum Value of Shear Stress evaluator uses Maximum Shear Stress = sqrt(((Stress Along x Direction-Stress Along y Direction)/2)^2+Shear Stress in Mpa^2) to evaluate the Maximum Shear Stress, The Maximum Value of Shear Stress formula is defined as the square root of the sum of the square of half the value of the difference of stress along the x-axis and stress along the y-axis and square of shear stress. Maximum Shear Stress is denoted by τ_max symbol.

How to evaluate Maximum Value of Shear Stress using this online evaluator? To use this online evaluator for Maximum Value of Shear Stress, enter Stress Along x Direction (σ_x), Stress Along y Direction (σ_y) & Shear Stress in Mpa (τ) and hit the calculate button.

FAQs on Maximum Value of Shear Stress

What is the formula to find Maximum Value of Shear Stress?

The formula of Maximum Value of Shear Stress is expressed as Maximum Shear Stress = sqrt(((Stress Along x Direction-Stress Along y Direction)/2)^2+Shear Stress in Mpa^2). Here is an example- 5.5E-5 = sqrt(((95000000-22000000)/2)^2+41500000^2).

How to calculate Maximum Value of Shear Stress?

With Stress Along x Direction (σ_x), Stress Along y Direction (σ_y) & Shear Stress in Mpa (τ) we can find Maximum Value of Shear Stress using the formula - Maximum Shear Stress = sqrt(((Stress Along x Direction-Stress Along y Direction)/2)^2+Shear Stress in Mpa^2). This formula also uses Square Root Function function(s).

Can the Maximum Value of Shear Stress be negative?

No, the Maximum Value of Shear Stress, measured in Stress cannot be negative.

Which unit is used to measure Maximum Value of Shear Stress?

Maximum Value of 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 Value of Shear Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Maximum Value of Shear Stress Formula

Maximum Value of Shear Stress Example

Maximum Value of Shear Stress Solution

Maximum Value of Shear Stress Formula Elements

Other formulas in Mohr's Circle when a Body is Subjected to Two Mutual Perpendicular and a Simple Shear Stress category

How to Evaluate Maximum Value of Shear Stress?

FAQs on Maximum Value of Shear Stress

Variable Name