Moment of Inertia of Neutral axis given Maximum Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer
Icircular = (Mmax*Ymax)/σmax
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Moment of Resistance: 220000000 Millimeter⁴ --> 0.00022 Meter⁴ (Check conversion here)
Distance b/w Outermost and Neutral Layer: 7500 Millimeter --> 7.5 Meter (Check conversion here)
Maximum Stress in Layer: 16 Megapascal --> 16000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Icircular = (Mmax*Ymax)/σmax --> (0.00022*7.5)/16000000
Evaluating ... ...
Icircular = 1.03125E-10
STEP 3: Convert Result to Output's Unit
1.03125E-10 Meter⁴ -->103.125 Millimeter⁴ (Check conversion here)
FINAL ANSWER
103.125 Millimeter⁴ <-- MOI of Area of Circular Section
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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)

Moment of Inertia of Neutral axis given Maximum Moment of Resistance Formula

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

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 Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

Moment of Inertia of Neutral axis given Maximum Moment of Resistance calculator uses MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer to calculate the MOI of Area of Circular Section, The Moment of inertia of neutral axis given maximum moment of resistance formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation. MOI of Area of Circular Section is denoted by Icircular symbol.

How to calculate Moment of Inertia of Neutral axis given Maximum Moment of Resistance using this online calculator? To use this online calculator for Moment of Inertia of Neutral axis given Maximum Moment of Resistance, enter Maximum Moment of Resistance (Mmax), Distance b/w Outermost and Neutral Layer (Ymax) & Maximum Stress in Layer max) and hit the calculate button. Here is how the Moment of Inertia of Neutral axis given Maximum Moment of Resistance calculation can be explained with given input values -> 1E+14 = (0.00022*7.5)/16000000.

FAQ

What is Moment of Inertia of Neutral axis given Maximum Moment of Resistance?
The Moment of inertia of neutral axis given maximum moment of resistance formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation and is represented as Icircular = (Mmax*Ymax)/σmax or MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer. The Maximum Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress, Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are & The maximum stress in layer is the force per unit area applied to the material.
How to calculate Moment of Inertia of Neutral axis given Maximum Moment of Resistance?
The Moment of inertia of neutral axis given maximum moment of resistance formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation is calculated using MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer. To calculate Moment of Inertia of Neutral axis given Maximum Moment of Resistance, you need Maximum Moment of Resistance (Mmax), Distance b/w Outermost and Neutral Layer (Ymax) & Maximum Stress in Layer max). With our tool, you need to enter the respective value for Maximum Moment of Resistance, Distance b/w Outermost and Neutral Layer & Maximum 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 MOI of Area of Circular Section?
In this formula, MOI of Area of Circular Section uses Maximum Moment of Resistance, Distance b/w Outermost and Neutral Layer & Maximum Stress in Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer
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