Young's Modulus of Beam Calculator

✖Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.ⓘ Stress in Layer [σ]			+10% -10%
✖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.ⓘ Radius of Neutral Layer [R]			+10% -10%
✖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.ⓘ Distance from Neutral Layer [d_nl]			+10% -10%

✖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.ⓘ Young's Modulus of Beam [E]

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Young's Modulus of Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer
E = (σ*R)/d_nl
This formula uses 4 Variables

Variables Used

Young's Modulus of Beam - (Measured in Pascal) - 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.
Stress in Layer - (Measured in Pascal) - Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.
Radius of Neutral Layer - (Measured in Meter) - 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.
Distance from Neutral Layer - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Stress in Layer: 18 Megapascal --> 18000000 Pascal (Check conversion here)
Radius of Neutral Layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
Distance from Neutral Layer: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ*R)/d_nl --> (18000000*0.002)/0.012

Evaluating ... ...

E = 3000000

STEP 3: Convert Result to Output's Unit

3000000 Pascal -->3 Megapascal (Check conversion here)

FINAL ANSWER

3 Megapascal <-- Young's Modulus of Beam

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Stress Variation Calculators

Radius of Neutral Axis using Moment of Resistance

LaTeX Go Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance

Distance between Neutral and Considered Layer using Moment of Resistance

LaTeX Go Distance from Neutral Layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance

Moment of Resistance using Stress in Layer of Beam

LaTeX Go Moment of Resistance = (Stress in Layer*MOI of Area of Circular Section)/Distance from Neutral Layer

Stress in Layer of Beam given Moment of Resistance

LaTeX Go Stress in Layer = (Moment of Resistance*Distance from Neutral Layer)/MOI of Area of Circular Section

Young's Modulus of Beam Formula

LaTeX Go

Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer
E = (σ*R)/d_nl

What is meant by Young's Modulus of Elasticity?

The Young's Modulus of Elasticity (E), commonly referred to as Young's Modulus, is a fundamental mechanical property that measures the stiffness or elasticity of a material. It defines the relationship between stress (force per unit area) and strain (deformation in response to stress) in a material under tension or compression within the elastic limit (the range where the material returns to its original shape after the load is removed).

How to Calculate Young's Modulus of Beam?

Young's Modulus of Beam calculator uses Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer to calculate 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 calculate Young's Modulus of Beam using this online calculator? To use this online calculator 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. Here is how the Young's Modulus of Beam calculation can be explained with given input values -> 3E-6 = (18000000*0.002)/0.012.

FAQ

What is 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 and is represented as E = (σ*R)/d_nl or Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer. Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces, 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 & 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.

How to calculate 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 is calculated using Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer. To calculate Young's Modulus of Beam, you need Stress in Layer (σ), Radius of Neutral Layer (R) & Distance from Neutral Layer (d_nl). With our tool, you need to enter the respective value for Stress in Layer, Radius of Neutral Layer & Distance from Neutral Layer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus of Beam?

In this formula, Young's Modulus of Beam uses Stress in Layer, Radius of Neutral Layer & Distance from Neutral Layer. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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