Radius of Neutral 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%
✖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]

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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) - 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.
Stress in Layer - (Measured in Pascal) - Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.

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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< 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 Formula

LaTeX Go

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

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?

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 a measure of the distance from the neutral axis of a beam to the point where the stress in the beam changes from compressive to tensile, playing a crucial role in determining the bending stress in a beam. 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 a measure of the distance from the neutral axis of a beam to the point where the stress in the beam changes from compressive to tensile, playing a crucial role in determining the bending stress in a beam 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 perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending & Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.

How to calculate Radius of Neutral Layer?

The Radius of Neutral Layer formula is defined as a measure of the distance from the neutral axis of a beam to the point where the stress in the beam changes from compressive to tensile, playing a crucial role in determining the bending stress in a beam 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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