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Maximum Shear Stress given Major and Minor Tensile Stress Formula

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

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

𝜏 m = \frac{σ 1 - σ 2}{2}

𝜏_m - Maximum Shear Stress?σ₁ - Major Tensile Stress?σ₂ - Minor Tensile Stress?

Maximum Shear Stress given Major and Minor Tensile Stress Example

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Here is how the Maximum Shear Stress given Major and Minor Tensile Stress equation looks like with Values.

Here is how the Maximum Shear Stress given Major and Minor Tensile Stress equation looks like with Units.

Here is how the Maximum Shear Stress given Major and Minor Tensile Stress equation looks like.

-0.0056 = \frac{1.2E-7 - 11196}{2}

-0.0056MPa = \frac{1.2E-7N/m² - 11196N/m²}{2}

-0.0056 = \frac{1.2E-7 - 11196}{2}

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Maximum Shear Stress given Major and Minor Tensile Stress Solution

Follow our step by step solution on how to calculate Maximum Shear Stress given Major and Minor Tensile Stress?

FIRST Step Consider the formula

𝜏 m = \frac{σ 1 - σ 2}{2}

Next Step Substitute values of Variables

∴

𝜏 m = \frac{1.2E-7N/m² - 11196N/m²}{2}

Next Step Convert Units

∴

𝜏 m = \frac{1.2E-7Pa - 11196Pa}{2}

Next Step Prepare to Evaluate

∴

𝜏 m = \frac{1.2E-7 - 11196}{2}

Next Step Evaluate

∴

𝜏 m = -5597.999999938Pa

Next Step Convert to Output's Unit

∴

𝜏 m = -0.005597999999938MPa

LAST Step Rounding Answer

∴

𝜏 m = -0.0056MPa

Maximum Shear Stress given Major and Minor Tensile Stress Formula Elements

Variables

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

Major Tensile Stress

Major Tensile Stress is the stress acting along the longitudinal direction.

Symbol: σ₁

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Major Tensile Stress

Minor Tensile Stress

Minor Tensile Stress is the stress acting along lateral direction.

Symbol: σ₂

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Minor Tensile Stress

Other Formulas to find Maximum Shear Stress

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

𝜏 m = \frac{\sqrt{{(σ x - σ y)}^{2} + 4 \cdot 𝜏^{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 Major and Minor Tensile Stress?

Maximum Shear Stress given Major and Minor Tensile Stress evaluator uses Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2 to evaluate 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 evaluate Maximum Shear Stress given Major and Minor Tensile Stress using this online evaluator? To use this online evaluator for Maximum Shear Stress given Major and Minor Tensile Stress, enter Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂) and hit the calculate button.

FAQs on Maximum Shear Stress given Major and Minor Tensile Stress

What is the formula to find Maximum Shear Stress given Major and Minor Tensile Stress?

The formula of Maximum Shear Stress given Major and Minor Tensile Stress is expressed as Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2. Here is an example- -5.6E-9 = (1.24E-07-11196)/2.

How to calculate Maximum Shear Stress given Major and Minor Tensile Stress?

With Major Tensile Stress (σ₁) & Minor Tensile Stress (σ₂) we can find Maximum Shear Stress given Major and Minor Tensile Stress using the formula - Maximum Shear Stress = (Major Tensile Stress-Minor Tensile Stress)/2.

What are the other ways to Calculate Maximum Shear Stress?

Here are the different ways to Calculate Maximum Shear Stress-

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

Can the Maximum Shear Stress given Major and Minor Tensile Stress be negative?

Yes, the Maximum Shear Stress given Major and Minor Tensile Stress, measured in Stress can be negative.

Which unit is used to measure Maximum Shear Stress given Major and Minor Tensile Stress?

Maximum Shear Stress given Major and Minor Tensile 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 Major and Minor Tensile Stress can be measured.

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Maximum Shear Stress given Major and Minor Tensile Stress Formula

​GoMaximum Shear Stress given Member is under Direct and Shear Stress Formula

Maximum Shear Stress given Major and Minor Tensile Stress Example

Maximum Shear Stress given Major and Minor Tensile Stress Solution

Maximum Shear Stress given Major and Minor Tensile Stress Formula Elements

Other Formulas to find Maximum Shear Stress

Other formulas in Shear Stress category

How to Evaluate Maximum Shear Stress given Major and Minor Tensile Stress?

FAQs on Maximum Shear Stress given Major and Minor Tensile Stress

Variable Name

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