Radius of Neutral Layer given Force on Considered Layer Calculator

✖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]			+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%
✖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 given Force on Considered Layer [R]

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Radius of Neutral Layer given Force on Considered Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Neutral Layer = (Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Force on Layer
R = (E*d_nl*dA)/F
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus of Beam: 14 Megapascal --> 14000000 Pascal (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)
Force on Layer: 24 Newton --> 24 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (E*d_nl*dA)/F --> (14000000*0.012*0.0081)/24

Evaluating ... ...

R = 56.7

STEP 3: Convert Result to Output's Unit

56.7 Meter -->56700 Millimeter (Check conversion here)

FINAL ANSWER

56700 Millimeter <-- Radius of Neutral Layer

(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

Radius of Neutral Layer given Force on Considered Layer Formula

LaTeX Go

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

What is Neutral Axis?

The Neutral Axis is an imaginary line within a beam or structural member's cross-section where the fibers (material elements) experience no longitudinal stress during bending. In simple terms, it is the axis within the cross-section that does not undergo any tension or compression when the member is subjected to bending.

How to Calculate Radius of Neutral Layer given Force on Considered Layer?

Radius of Neutral Layer given Force on Considered Layer calculator uses Radius of Neutral Layer = (Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Force on Layer to calculate the Radius of Neutral Layer, The Radius of Neutral Layer given Force on Considered Layer formula is defined as a method to determine the distance from the neutral axis to the considered layer in a beam subjected to bending stress, providing a crucial parameter for beam design and analysis in structural engineering. Radius of Neutral Layer is denoted by R symbol.

How to calculate Radius of Neutral Layer given Force on Considered Layer using this online calculator? To use this online calculator for Radius of Neutral Layer given Force on Considered Layer, enter Young's Modulus of Beam (E), Distance from Neutral Layer (d_nl), Area of Layer (dA) & Force on Layer (F) and hit the calculate button. Here is how the Radius of Neutral Layer given Force on Considered Layer calculation can be explained with given input values -> 5.7E+7 = (14000000*0.012*0.0081)/24.

FAQ

What is Radius of Neutral Layer given Force on Considered Layer?

The Radius of Neutral Layer given Force on Considered Layer formula is defined as a method to determine the distance from the neutral axis to the considered layer in a beam subjected to bending stress, providing a crucial parameter for beam design and analysis in structural engineering and is represented as R = (E*d_nl*dA)/F or Radius of Neutral Layer = (Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Force on Layer. 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, 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 & 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.

How to calculate Radius of Neutral Layer given Force on Considered Layer?

The Radius of Neutral Layer given Force on Considered Layer formula is defined as a method to determine the distance from the neutral axis to the considered layer in a beam subjected to bending stress, providing a crucial parameter for beam design and analysis in structural engineering is calculated using Radius of Neutral Layer = (Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Force on Layer. To calculate Radius of Neutral Layer given Force on Considered Layer, you need Young's Modulus of Beam (E), Distance from Neutral Layer (d_nl), Area of Layer (dA) & Force on Layer (F). With our tool, you need to enter the respective value for Young's Modulus of Beam, Distance from Neutral Layer, Area of Layer & Force on 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 Radius of Neutral Layer?

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

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

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