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Modulus of Rigidity using Young's Modulus and Poisson's Ratio Formula

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Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. Check FAQs

G = \frac{E}{2 \cdot (1 + 𝛎)}

G - Modulus of rigidity Of Bar?E - Young's Modulus Bar?𝛎 - Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio Example

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Here is how the Modulus of Rigidity using Young's Modulus and Poisson's Ratio equation looks like with Values.

Here is how the Modulus of Rigidity using Young's Modulus and Poisson's Ratio equation looks like with Units.

Here is how the Modulus of Rigidity using Young's Modulus and Poisson's Ratio equation looks like.

0.0088 = \frac{0.023}{2 \cdot (1 + 0.3)}

0.0088MPa = \frac{0.023MPa}{2 \cdot (1 + 0.3)}

0.0088 = \frac{0.023}{2 \cdot (1 + 0.3)}

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Modulus of Rigidity using Young's Modulus and Poisson's Ratio Solution

Follow our step by step solution on how to calculate Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

FIRST Step Consider the formula

G = \frac{E}{2 \cdot (1 + 𝛎)}

Next Step Substitute values of Variables

∴

G = \frac{0.023MPa}{2 \cdot (1 + 0.3)}

Next Step Convert Units

∴

G = \frac{23000Pa}{2 \cdot (1 + 0.3)}

Next Step Prepare to Evaluate

∴

G = \frac{23000}{2 \cdot (1 + 0.3)}

Next Step Evaluate

∴

G = 8846.15384615385Pa

Next Step Convert to Output's Unit

∴

G = 0.00884615384615385MPa

LAST Step Rounding Answer

∴

G = 0.0088MPa

Modulus of Rigidity using Young's Modulus and Poisson's Ratio Formula Elements

Variables

Modulus of rigidity Of Bar

Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of rigidity Of Bar

Young's Modulus Bar

Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Other formulas in Direct Strains of Diagonal category

Go Tensile Strain in Diagonal of Square Block due to Tensile Stress

ε tensile = \frac{σ t}{E bar}

Go Tensile strain in diagonal BD of square block ABCD due to compressive stress

ε tensile = \frac{𝛎 \cdot σ t}{E bar}

Go Total Tensile Strain in Diagonal of Square Block

ε diagonal = (\frac{σ t}{E bar}) \cdot (1 + 𝛎)

Go Poisson's ratio given tensile strain due to compressive stress in diagonal BD

𝛎 = \frac{ε diagonal \cdot E bar}{σ tp}

How to Evaluate Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio evaluator uses Modulus of Rigidity of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)) to evaluate the Modulus of rigidity Of Bar, Modulus of Rigidity using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes the material's ability to resist shear deformation. It connects the shear modulus to Young's modulus and Poisson's ratio, providing insight into the mechanical properties of materials under stress. Modulus of rigidity Of Bar is denoted by G symbol.

How to evaluate Modulus of Rigidity using Young's Modulus and Poisson's Ratio using this online evaluator? To use this online evaluator for Modulus of Rigidity using Young's Modulus and Poisson's Ratio, enter Young's Modulus Bar (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Modulus of Rigidity using Young's Modulus and Poisson's Ratio

What is the formula to find Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

The formula of Modulus of Rigidity using Young's Modulus and Poisson's Ratio is expressed as Modulus of Rigidity of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)). Here is an example- 8.8E-9 = 39000000/(2*(1+0.3)).

How to calculate Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

With Young's Modulus Bar (E) & Poisson's Ratio (𝛎) we can find Modulus of Rigidity using Young's Modulus and Poisson's Ratio using the formula - Modulus of Rigidity of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)).

Can the Modulus of Rigidity using Young's Modulus and Poisson's Ratio be negative?

No, the Modulus of Rigidity using Young's Modulus and Poisson's Ratio, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Rigidity using Young's Modulus and Poisson's Ratio can be measured.

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