Radius of Neutral Axis using Moment of Resistance 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%
✖MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.ⓘ MOI of Area of Circular Section [I_circular]			+10% -10%
✖Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.ⓘ Moment of Resistance [M_resistance]			+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 Axis using Moment of Resistance [R]

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Radius of Neutral Axis using Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance
R = (E*I_circular)/M_resistance
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.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.
Moment of Resistance - (Measured in Newton Meter) - Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus of Beam: 14 Megapascal --> 14000000 Pascal (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
Moment of Resistance: 7000 Newton Millimeter --> 7 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (E*I_circular)/M_resistance --> (14000000*1.154E-09)/7

Evaluating ... ...

R = 0.002308

STEP 3: Convert Result to Output's Unit

0.002308 Meter -->2.308 Millimeter (Check conversion here)

FINAL ANSWER

2.308 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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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 Axis using Moment of Resistance Formula

LaTeX Go

Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance
R = (E*I_circular)/M_resistance

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 Axis using Moment of Resistance?

Radius of Neutral Axis using Moment of Resistance calculator uses Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance to calculate the Radius of Neutral Layer, The Radius of Neutral Axis using Moment of Resistance formula is defined as a measure of the distance from the neutral axis to the extreme fiber of a beam, which is critical in determining the bending stress and deformation of a beam under various types of loads. Radius of Neutral Layer is denoted by R symbol.

How to calculate Radius of Neutral Axis using Moment of Resistance using this online calculator? To use this online calculator for Radius of Neutral Axis using Moment of Resistance, enter Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Moment of Resistance (M_resistance) and hit the calculate button. Here is how the Radius of Neutral Axis using Moment of Resistance calculation can be explained with given input values -> 2308 = (14000000*1.154E-09)/7.

FAQ

What is Radius of Neutral Axis using Moment of Resistance?

The Radius of Neutral Axis using Moment of Resistance formula is defined as a measure of the distance from the neutral axis to the extreme fiber of a beam, which is critical in determining the bending stress and deformation of a beam under various types of loads and is represented as R = (E*I_circular)/M_resistance or Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance. 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, MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation & Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

How to calculate Radius of Neutral Axis using Moment of Resistance?

The Radius of Neutral Axis using Moment of Resistance formula is defined as a measure of the distance from the neutral axis to the extreme fiber of a beam, which is critical in determining the bending stress and deformation of a beam under various types of loads is calculated using Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance. To calculate Radius of Neutral Axis using Moment of Resistance, you need Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Moment of Resistance (M_resistance). With our tool, you need to enter the respective value for Young's Modulus of Beam, MOI of Area of Circular Section & Moment of Resistance 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, MOI of Area of Circular Section & Moment of Resistance. 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*Distance from Neutral Layer)/Stress in Layer
Radius of Neutral Layer = (Young's Modulus of Beam*Distance from Neutral Layer*Area of Layer)/Force on Layer

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