Radius of Neutral Layer Calculator

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Bending Stress In Beam

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Measurement of Ductility of Metal

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Stress Variation

Section Modulus

Section Modulus for Various Beams or Shape Sections

✖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%
✖Stress in layer is the force acting on the unit area of a material.ⓘ Stress in Layer [σ]			+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 [R]

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Formula

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Radius of Neutral Layer

Formula

`"R" = ("E"*"d"_{"nl"})/"σ"`

Example

`"9.333333mm"=("14MPa"*"12mm")/"18MPa"`

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Radius of Neutral Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer)/Stress in Layer
R = (E*d_nl)/σ
This formula uses 4 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.
Stress in Layer - (Measured in Pascal) - Stress in layer is the force acting on the unit area of a material.

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)
Stress in Layer: 18 Megapascal --> 18000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (E*d_nl)/σ --> (14000000*0.012)/18000000

Evaluating ... ...

R = 0.00933333333333333

STEP 3: Convert Result to Output's Unit

0.00933333333333333 Meter -->9.33333333333333 Millimeter (Check conversion here)

FINAL ANSWER

9.33333333333333 ≈ 9.333333 Millimeter <-- Radius of neutral layer

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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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 Formula

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

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?

Radius of Neutral Layer calculator uses Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer)/Stress in Layer to calculate the Radius of neutral layer, The Radius of neutral 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 using this online calculator? To use this online calculator for Radius of Neutral Layer, enter Young's Modulus of Beam (E), Distance from neutral layer (d_nl) & Stress in Layer (σ) and hit the calculate button. Here is how the Radius of Neutral Layer calculation can be explained with given input values -> 9333.333 = (14000000*0.012)/18000000.

FAQ

What is Radius of Neutral Layer?

The Radius of neutral 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)/σ or Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer)/Stress in 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 & Stress in layer is the force acting on the unit area of a material.

How to calculate Radius of Neutral Layer?

The Radius of neutral 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)/Stress in Layer. To calculate Radius of Neutral Layer, you need Young's Modulus of Beam (E), Distance from neutral layer (d_nl) & Stress in Layer (σ). With our tool, you need to enter the respective value for Young's Modulus of Beam, Distance from neutral layer & Stress in 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 & Stress in 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*Area of Layer)/Force on layer

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