Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance
Ymax = (σmax*Icircular)/Mmax
This formula uses 4 Variables
Variables Used
Distance b/w Outermost and Neutral Layer - (Measured in Meter) - Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.
Maximum Stress in Layer - (Measured in Pascal) - The maximum stress in layer is the force per unit area applied to the 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.
Maximum Moment of Resistance - (Measured in Meter⁴) - The Maximum 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
Maximum Stress in Layer: 16 Megapascal --> 16000000 Pascal (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
Maximum Moment of Resistance: 220000000 Millimeter⁴ --> 0.00022 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ymax = (σmax*Icircular)/Mmax --> (16000000*1.154E-09)/0.00022
Evaluating ... ...
Ymax = 83.9272727272727
STEP 3: Convert Result to Output's Unit
83.9272727272727 Meter -->83927.2727272727 Millimeter (Check conversion here)
FINAL ANSWER
83927.2727272727 83927.27 Millimeter <-- Distance b/w Outermost and Neutral Layer
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology (IIIT), Guwahati
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11 Section Modulus Calculators

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance
Go Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance
Moment of Inertia of Neutral axis given Maximum Moment of Resistance
Go MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer
Maximum Stress given Maximum Moment of Resistance
Go Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section
Maximum Moment of Resistance
Go Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer
Distance of Outermost Layer from Neutral Axis using Section Modulus
Go Distance b/w Outermost and Neutral Layer = MOI of Area of Circular Section/Section Modulus
Section Modulus given Distance between Outermost and Neutral Layer
Go Section Modulus = MOI of Area of Circular Section/Distance b/w Outermost and Neutral Layer
Moment of Inertia about Neutral Axis given Section Modulus
Go MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer
Maximum Stress given Maximum Moment of Resistance and Section Modulus
Go Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus
Section Modulus given Maximum Moment of Resistance
Go Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer
Maximum Moment of Resistance given Section Modulus
Go Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer
Section Modulus of Square Section
Go Section Modulus = ((Side of Square^3)/6)

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance Formula

Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance
Ymax = (σmax*Icircular)/Mmax

What is section modulus what is its significance?

The section modulus of the cross-sectional shape is of significant importance in designing beams. It is a direct measure of the strength of the beam. A beam that has a larger section modulus than another will be stronger and capable of supporting greater loads.

How to Calculate Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance calculator uses Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance to calculate the Distance b/w Outermost and Neutral Layer, The Distance of outermost layer from neutral axis given maximum moment of resistance formula is defined as a numerical measurement of how far apart objects or points are. Distance b/w Outermost and Neutral Layer is denoted by Ymax symbol.

How to calculate Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance using this online calculator? To use this online calculator for Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance, enter Maximum Stress in Layer max), MOI of Area of Circular Section (Icircular) & Maximum Moment of Resistance (Mmax) and hit the calculate button. Here is how the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance calculation can be explained with given input values -> 8.4E+7 = (16000000*1.154E-09)/0.00022.

FAQ

What is Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?
The Distance of outermost layer from neutral axis given maximum moment of resistance formula is defined as a numerical measurement of how far apart objects or points are and is represented as Ymax = (σmax*Icircular)/Mmax or Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance. The maximum stress in layer is the force per unit area applied to the material, MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis & The Maximum 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 Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?
The Distance of outermost layer from neutral axis given maximum moment of resistance formula is defined as a numerical measurement of how far apart objects or points are is calculated using Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance. To calculate Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance, you need Maximum Stress in Layer max), MOI of Area of Circular Section (Icircular) & Maximum Moment of Resistance (Mmax). With our tool, you need to enter the respective value for Maximum Stress in Layer, MOI of Area of Circular Section & Maximum 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 b/w Outermost and Neutral Layer?
In this formula, Distance b/w Outermost and Neutral Layer uses Maximum Stress in Layer, MOI of Area of Circular Section & Maximum Moment of Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Distance b/w Outermost and Neutral Layer = MOI of Area of Circular Section/Section Modulus
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