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 distance of the considered layer from the neutral layer.ⓘ Distance from neutral layer [d_nl]			+10% -10%
✖Area of Layer can be defined as the space occupied by a flat shape or the surface of an object.ⓘ Area of Layer [dA]			+10% -10%
✖Force on layer in terms of stress on the layer formula is defined as any interaction that, when unopposed, will change the motion of an object.ⓘ Force on layer [F]			+10% -10%

✖The radius of neutral layer is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Neutral Layer given Force on Considered Layer [R]

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Formula

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Radius of Neutral Layer given Force on Considered Layer

Formula

`"R" = ("E"*"d"_{"nl"}*"dA")/"F"`

Example

`"56700mm"=("14MPa"*"12mm"*"8100mm²")/"24N"`

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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) - The radius of neutral layer is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
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 distance of the considered layer from the neutral layer.
Area of Layer - (Measured in Square Meter) - Area of Layer can be defined as the space occupied by a flat shape or the surface of an object.
Force on layer - (Measured in Newton) - Force on layer in terms of stress on the layer formula 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 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 18 Stress Variation Calculators

Distance between Neutral and Considered Layer in Beam

Go Distance from neutral layer = (Stress in Layer*Radius of neutral layer)/(Young's Modulus of Beam*Area of Layer)

Force on Layer at Distance from Neutral Layer of Beam

Go Force on layer = ((Young's Modulus of Beam*Distance from neutral layer*Area of Layer)/Radius of neutral layer)

Young's Modulus of Beam given Force on Layer

Go Young's Modulus of Beam = (Force on layer*Radius of neutral layer)/(Distance from neutral layer*Area of Layer)

Radius of Neutral Layer given Force on Considered Layer

Go Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer*Area of Layer)/Force on layer

Moment of Inertia of Area of Section given Young's Modulus of Beam

Go MOI of Area of Circular Section = (Moment of Resistance*Radius of neutral layer)/Young's Modulus of Beam

Young's Modulus of Beam using Moment of Resistance

Go Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section

Radius of Neutral Axis using Moment of Resistance

Go Radius of neutral layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance

Moment of Resistance

Go Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of neutral layer

Distance between Neutral and Considered Layer using Moment of Resistance

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

Moment of Inertia of Area of Section of Beam given Stress in Layer

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

Moment of Resistance using Stress in Layer of Beam

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

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

Stress in Layer Considering that Beam is Subjected to Simple Bending

Go Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer

Distance between Neutral and Considered Layers in Beams

Go Distance from neutral layer = (Stress in Layer*Radius of neutral layer)/Young's Modulus of Beam

Young's Modulus of Beam

Go Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer

Radius of Neutral Layer

Go Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer)/Stress in Layer

Force on Layer of Beams given Stress in Layer

Go Force on layer = Stress in Layer*Area of Layer

Stress in Layer of Beam given Force on Layer

Go Stress in Layer = Force on layer/Area of Layer

Radius of Neutral Layer given Force on Considered Layer Formula

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 meant by bending stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

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, Radius of Neutral Layer given Force on Considered Layer formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. 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?

Radius of Neutral Layer given Force on Considered Layer formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length 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 distance of the considered layer from the neutral layer, Area of Layer can be defined as the space occupied by a flat shape or the surface of an object & Force on layer in terms of stress on the layer formula 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?

Radius of Neutral Layer given Force on Considered Layer formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length 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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