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Young's Modulus of Beam Formula

GoYoung's Modulus of Beam given Force on Layer Formula

GoYoung's Modulus of Beam using Moment of Resistance Formula

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Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Check FAQs

E = \frac{σ \cdot R}{d nl}

E - Young's Modulus of Beam?σ - Stress in Layer?R - Radius of Neutral Layer?d_nl - Distance from Neutral Layer?

Young's Modulus of Beam Example

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Here is how the Young's Modulus of Beam equation looks like with Values.

Here is how the Young's Modulus of Beam equation looks like with Units.

Here is how the Young's Modulus of Beam equation looks like.

3 = \frac{18 \cdot 2}{12}

3MPa = \frac{18MPa \cdot 2mm}{12mm}

3 = \frac{18 \cdot 2}{12}

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Young's Modulus of Beam Solution

Follow our step by step solution on how to calculate Young's Modulus of Beam?

FIRST Step Consider the formula

E = \frac{σ \cdot R}{d nl}

Next Step Substitute values of Variables

∴

E = \frac{18MPa \cdot 2mm}{12mm}

Next Step Convert Units

∴

E = \frac{1.8E+7Pa \cdot 0.002m}{0.012m}

Next Step Prepare to Evaluate

∴

E = \frac{1.8E+7 \cdot 0.002}{0.012}

Next Step Evaluate

∴

E = 3000000Pa

LAST Step Convert to Output's Unit

∴

E = 3MPa

Young's Modulus of Beam Formula Elements

Variables

Young's Modulus of Beam

Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus of Beam

Stress in Layer

Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.

Symbol: σ

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Layer

Radius of Neutral Layer

Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Neutral Layer

Distance from Neutral Layer

Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending.

Symbol: d_nl

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Layer

Other Formulas to find Young's Modulus of Beam

Go Young's Modulus of Beam given Force on Layer

E = \frac{F \cdot R}{d nl \cdot dA}

Go Young's Modulus of Beam using Moment of Resistance

E = \frac{M resistance \cdot R}{I circular}

Other formulas in Stress Variation category

Go Radius of Neutral Axis using Moment of Resistance

R = \frac{E \cdot I circular}{M resistance}

Go Moment of Resistance using Stress in Layer of Beam

M resistance = \frac{σ \cdot I circular}{d nl}

Go Stress in Layer of Beam given Moment of Resistance

σ = \frac{M resistance \cdot d nl}{I circular}

Go Distance between Neutral and Considered Layer using Moment of Resistance

d nl = \frac{σ \cdot I circular}{M resistance}

How to Evaluate Young's Modulus of Beam?

Young's Modulus of Beam evaluator uses Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer to evaluate the Young's Modulus of Beam, The Young's Modulus of Beam formula is defined as a measure of the stiffness of a material, describing the relationship between stress and strain within the proportional limit of a material, providing valuable insights into the material's elastic properties under bending stress. Young's Modulus of Beam is denoted by E symbol.

How to evaluate Young's Modulus of Beam using this online evaluator? To use this online evaluator for Young's Modulus of Beam, enter Stress in Layer (σ), Radius of Neutral Layer (R) & Distance from Neutral Layer (d_nl) and hit the calculate button.

FAQs on Young's Modulus of Beam

What is the formula to find Young's Modulus of Beam?

The formula of Young's Modulus of Beam is expressed as Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer. Here is an example- 3E-6 = (18000000*0.002)/0.012.

How to calculate Young's Modulus of Beam?

With Stress in Layer (σ), Radius of Neutral Layer (R) & Distance from Neutral Layer (d_nl) we can find Young's Modulus of Beam using the formula - Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer.

What are the other ways to Calculate Young's Modulus of Beam?

Here are the different ways to Calculate Young's Modulus of Beam-

Young's Modulus of Beam=(Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer)
Young's Modulus of Beam=(Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section

Can the Young's Modulus of Beam be negative?

No, the Young's Modulus of Beam, measured in Pressure cannot be negative.

Which unit is used to measure Young's Modulus of Beam?

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

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Young's Modulus of Beam Formula

​GoYoung's Modulus of Beam given Force on Layer Formula

​GoYoung's Modulus of Beam using Moment of Resistance Formula

Young's Modulus of Beam Example

Young's Modulus of Beam Solution

Young's Modulus of Beam Formula Elements

Other Formulas to find Young's Modulus of Beam

Other formulas in Stress Variation category

How to Evaluate Young's Modulus of Beam?

FAQs on Young's Modulus of Beam

Variable Name

GoYoung's Modulus of Beam given Force on Layer Formula

GoYoung's Modulus of Beam using Moment of Resistance Formula