Young's Modulus of Beam given Force on Layer Calculator

✖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.ⓘ Force on Layer [F]			+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%
✖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.ⓘ Area of Layer [dA]			+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 given Force on Layer [E]

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Young's Modulus of Beam given Force on Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer)
E = (F*R)/(d_nl*dA)
This formula uses 5 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.
Force on Layer - (Measured in Newton) - 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.
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.
Area of Layer - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Force on Layer: 24 Newton --> 24 Newton No Conversion Required
Radius of Neutral Layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
Distance from Neutral Layer: 12 Millimeter --> 0.012 Meter (Check conversion here)
Area of Layer: 8100 Square Millimeter --> 0.0081 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (F*R)/(d_nl*dA) --> (24*0.002)/(0.012*0.0081)

Evaluating ... ...

E = 493.827160493827

STEP 3: Convert Result to Output's Unit

493.827160493827 Pascal -->0.000493827160493827 Megapascal (Check conversion here)

FINAL ANSWER

0.000493827160493827 ≈ 0.000494 Megapascal <-- Young's Modulus of Beam

(Calculation completed in 00.011 seconds)

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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 given Force on Layer Formula

LaTeX Go

Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer)
E = (F*R)/(d_nl*dA)

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 given Force on Layer?

Young's Modulus of Beam given Force on Layer calculator uses Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer) to calculate 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 calculate Young's Modulus of Beam given Force on Layer using this online calculator? To use this online calculator 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. Here is how the Young's Modulus of Beam given Force on Layer calculation can be explained with given input values -> 4.9E-10 = (24*0.002)/(0.012*0.0081).

FAQ

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

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 and is represented as E = (F*R)/(d_nl*dA) or Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of 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, 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 & 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.

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

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 is calculated using Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer). To calculate Young's Modulus of Beam given Force on Layer, you need Force on Layer (F), Radius of Neutral Layer (R), Distance from Neutral Layer (d_nl) & Area of Layer (dA). With our tool, you need to enter the respective value for Force on Layer, Radius of Neutral Layer, Distance from Neutral Layer & Area of 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 Force on Layer, Radius of Neutral Layer, Distance from Neutral Layer & Area of Layer. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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