Distance between Neutral and Considered Layer using Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance
dnl = (σ*Icircular)/Mresistance
This formula uses 4 Variables
Variables Used
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.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
Moment of Resistance - (Measured in Newton Meter) - Moment of resistance is defined as 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
Stress in Layer: 18 Megapascal --> 18000000 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
dnl = (σ*Icircular)/Mresistance --> (18000000*1.154E-09)/7
Evaluating ... ...
dnl = 0.00296742857142857
STEP 3: Convert Result to Output's Unit
0.00296742857142857 Meter -->2.96742857142857 Millimeter (Check conversion here)
FINAL ANSWER
2.96742857142857 2.967429 Millimeter <-- Distance from neutral layer
(Calculation completed in 00.004 seconds)

Credits

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

Distance between Neutral and Considered Layer using Moment of Resistance Formula

Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance
dnl = (σ*Icircular)/Mresistance

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 Distance between Neutral and Considered Layer using Moment of Resistance?

Distance between Neutral and Considered Layer using Moment of Resistance calculator uses Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance to calculate the Distance from neutral layer, The Distance between Neutral and Considered Layer using Moment of Resistance formula is defined as a numerical measurement of how far apart objects or points are. Distance from neutral layer is denoted by dnl symbol.

How to calculate Distance between Neutral and Considered Layer using Moment of Resistance using this online calculator? To use this online calculator for Distance between Neutral and Considered Layer using Moment of Resistance, enter Stress in Layer (σ), MOI of Area of Circular Section (Icircular) & Moment of Resistance (Mresistance) and hit the calculate button. Here is how the Distance between Neutral and Considered Layer using Moment of Resistance calculation can be explained with given input values -> 2967.429 = (18000000*1.154E-09)/7.

FAQ

What is Distance between Neutral and Considered Layer using Moment of Resistance?
The Distance between Neutral and Considered Layer using Moment of Resistance formula is defined as a numerical measurement of how far apart objects or points are and is represented as dnl = (σ*Icircular)/Mresistance or Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance. Stress in layer is the force acting on the unit area of a material, MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis & Moment of resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
How to calculate Distance between Neutral and Considered Layer using Moment of Resistance?
The Distance between Neutral and Considered Layer using Moment of Resistance formula is defined as a numerical measurement of how far apart objects or points are is calculated using Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance. To calculate Distance between Neutral and Considered Layer using Moment of Resistance, you need Stress in Layer (σ), MOI of Area of Circular Section (Icircular) & Moment of Resistance (Mresistance). With our tool, you need to enter the respective value for Stress in Layer, 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 Distance from neutral layer?
In this formula, Distance from neutral layer uses Stress in Layer, 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 -
  • Distance from neutral layer = (Stress in Layer*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*Area of Layer)
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