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Young's Modulus of Beam using Moment of Resistance Formula

GoYoung's Modulus of Beam Formula

GoYoung's Modulus of Beam given Force on Layer 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{M resistance \cdot R}{I circular}

E - Young's Modulus of Beam?M_resistance - Moment of Resistance?R - Radius of Neutral Layer?I_circular - MOI of Area of Circular Section?

Young's Modulus of Beam using Moment of Resistance Example

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

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

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

12.1317 = \frac{7000 \cdot 2}{1154}

12.1317MPa = \frac{7000N*mm \cdot 2mm}{1154mm⁴}

12.1317 = \frac{7000 \cdot 2}{1154}

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Young's Modulus of Beam using Moment of Resistance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{7000N*mm \cdot 2mm}{1154mm⁴}

Next Step Convert Units

∴

E = \frac{7N*m \cdot 0.002m}{1.2E-9m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{7 \cdot 0.002}{1.2E-9}

Next Step Evaluate

∴

E = 12131715.7712305Pa

Next Step Convert to Output's Unit

∴

E = 12.1317157712305MPa

LAST Step Rounding Answer

∴

E = 12.1317MPa

Young's Modulus of Beam using Moment of Resistance 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

Moment of Resistance

Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

Symbol: M_resistance

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Moment of Resistance

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

MOI of Area of Circular Section

MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

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 given Force on Layer

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

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 using Moment of Resistance?

Young's Modulus of Beam using Moment of Resistance evaluator uses Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section to evaluate the Young's Modulus of Beam, The Young's Modulus of Beam using Moment of Resistance formula is defined as a measure of the stiffness of a beam, describing the relationship between stress and strain, and is used to calculate the beam's ability to resist bending stress and deformation. Young's Modulus of Beam is denoted by E symbol.

How to evaluate Young's Modulus of Beam using Moment of Resistance using this online evaluator? To use this online evaluator for Young's Modulus of Beam using Moment of Resistance, enter Moment of Resistance (M_resistance), Radius of Neutral Layer (R) & MOI of Area of Circular Section (I_circular) and hit the calculate button.

FAQs on Young's Modulus of Beam using Moment of Resistance

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

The formula of Young's Modulus of Beam using Moment of Resistance is expressed as Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section. Here is an example- 1.2E-5 = (7*0.002)/1.154E-09.

How to calculate Young's Modulus of Beam using Moment of Resistance?

With Moment of Resistance (M_resistance), Radius of Neutral Layer (R) & MOI of Area of Circular Section (I_circular) we can find Young's Modulus of Beam using Moment of Resistance using the formula - Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section.

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=(Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer)

Can the Young's Modulus of Beam using Moment of Resistance be negative?

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

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

Young's Modulus of Beam using Moment of Resistance 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 using Moment of Resistance can be measured.

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Young's Modulus of Beam using Moment of Resistance Formula

​GoYoung's Modulus of Beam Formula

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

Young's Modulus of Beam using Moment of Resistance Example

Young's Modulus of Beam using Moment of Resistance Solution

Young's Modulus of Beam using Moment of Resistance 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 using Moment of Resistance?

FAQs on Young's Modulus of Beam using Moment of Resistance

Variable Name

GoYoung's Modulus of Beam Formula

GoYoung's Modulus of Beam given Force on Layer Formula