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Young's Modulus of Beam given Force on Layer Formula

GoYoung's Modulus of Beam 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{F \cdot R}{d nl \cdot dA}

E - Young's Modulus of Beam?F - Force on Layer?R - Radius of Neutral Layer?d_nl - Distance from Neutral Layer?dA - Area of Layer?

Young's Modulus of Beam given Force on Layer Example

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

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

Here is how the Young's Modulus of Beam given Force on Layer equation looks like.

0.0005 = \frac{24 \cdot 2}{12 \cdot 8100}

0.0005MPa = \frac{24N \cdot 2mm}{12mm \cdot 8100mm²}

0.0005 = \frac{24 \cdot 2}{12 \cdot 8100}

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Young's Modulus of Beam given Force on Layer Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{24N \cdot 2mm}{12mm \cdot 8100mm²}

Next Step Convert Units

∴

E = \frac{24N \cdot 0.002m}{0.012m \cdot 0.0081m²}

Next Step Prepare to Evaluate

∴

E = \frac{24 \cdot 0.002}{0.012 \cdot 0.0081}

Next Step Evaluate

∴

E = 493.827160493827Pa

Next Step Convert to Output's Unit

∴

E = 0.000493827160493827MPa

LAST Step Rounding Answer

∴

E = 0.0005MPa

Young's Modulus of Beam given Force on Layer 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

Force on Layer

Force on Layer in terms of stress on the layer is defined as any interaction that, when unopposed, will change the motion of an object.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on 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

Area of Layer

Area of Layer is the total surface area of a specific layer within a composite material or system. A layer could be any thin section of material that contributes to the overall design.

Symbol: dA

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Layer

Other Formulas to find Young's Modulus of Beam

Go Young's Modulus of Beam

E = \frac{σ \cdot R}{d nl}

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 given Force on Layer?

Young's Modulus of Beam given Force on Layer evaluator uses Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer) to evaluate the Young's Modulus of Beam, The Young's Modulus of Beam given Force on Layer formula is defined as a measure of the stiffness of a material, which is the ratio of stress to strain, and is used to predict the amount of deformation that will occur in a beam under a given load. Young's Modulus of Beam is denoted by E symbol.

How to evaluate Young's Modulus of Beam given Force on Layer using this online evaluator? To use this online evaluator for Young's Modulus of Beam given Force on Layer, enter Force on Layer (F), Radius of Neutral Layer (R), Distance from Neutral Layer (d_nl) & Area of Layer (dA) and hit the calculate button.

FAQs on Young's Modulus of Beam given Force on Layer

What is the formula to find Young's Modulus of Beam given Force on Layer?

The formula of Young's Modulus of Beam given Force on Layer is expressed as Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer). Here is an example- 4.9E-10 = (24*0.002)/(0.012*0.0081).

How to calculate Young's Modulus of Beam given Force on Layer?

With Force on Layer (F), Radius of Neutral Layer (R), Distance from Neutral Layer (d_nl) & Area of Layer (dA) we can find Young's Modulus of Beam given Force on Layer using the formula - Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of 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=(Stress in Layer*Radius of Neutral Layer)/Distance from Neutral 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 given Force on Layer be negative?

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

Which unit is used to measure Young's Modulus of Beam given Force on Layer?

Young's Modulus of Beam given Force on Layer 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 given Force on Layer can be measured.

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Young's Modulus of Beam given Force on Layer Formula

​GoYoung's Modulus of Beam Formula

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

Young's Modulus of Beam given Force on Layer Example

Young's Modulus of Beam given Force on Layer Solution

Young's Modulus of Beam given Force on Layer 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 given Force on Layer?

FAQs on Young's Modulus of Beam given Force on Layer

Variable Name

GoYoung's Modulus of Beam Formula

GoYoung's Modulus of Beam using Moment of Resistance Formula