FormulaDen.com

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

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

Fx Copy

LaTeX Copy

The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity. 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

With values

With units

Only example

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.

15 = \frac{39}{2 \cdot (1 + 0.3)}

15MPa = \frac{39MPa}{2 \cdot (1 + 0.3)}

15 = \frac{39}{2 \cdot (1 + 0.3)}

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

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{39MPa}{2 \cdot (1 + 0.3)}

Next Step Convert Units

∴

G = \frac{3.9E+7Pa}{2 \cdot (1 + 0.3)}

Next Step Prepare to Evaluate

∴

G = \frac{3.9E+7}{2 \cdot (1 + 0.3)}

Next Step Evaluate

∴

G = 15000000Pa

LAST Step Convert to Output's Unit

∴

G = 15MPa

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

Variables

Modulus of Rigidity of Bar

The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Bar

Young's Modulus Bar

The Young's Modulus Bar is a measure of the stiffness of a material, indicating how much it will deform under stress in a direct strain scenario.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Poisson's Ratio

The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.

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.

Let Others Know

✖

Facebook

Twitter

Copied!