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

✖Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.ⓘ Maximum Moment of Resistance [M_r]			+10% -10%
✖Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are used to calculate bending stresses in beams.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+10% -10%
✖Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.ⓘ Maximum Stress in Layer [σ_max]			+10% -10%

✖MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific axis.ⓘ Moment of Inertia of Neutral axis given Maximum Moment of Resistance [I_circular]

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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
I_circular = (M_r*Y_max)/σ_max
This formula uses 4 Variables

Variables Used

MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific axis.
Maximum Moment of Resistance - (Measured in Meter⁴) - Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.
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 used to calculate bending stresses in beams.
Maximum Stress in Layer - (Measured in Pascal) - Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.

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

I_circular = (M_r*Y_max)/σ_max --> (0.00022*7.5)/16000000

Evaluating ... ...

I_circular = 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 00.020 seconds)

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< Section Modulus Calculators

Moment of Inertia of Neutral axis given Maximum Moment of Resistance

LaTeX 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 and Section Modulus

LaTeX Go Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus

Section Modulus given Maximum Moment of Resistance

LaTeX Go Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer

Maximum Moment of Resistance given Section Modulus

LaTeX Go Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer

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

LaTeX Go

MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer
I_circular = (M_r*Y_max)/σ_max

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, Moment of Inertia of Neutral axis given Maximum Moment of Resistance formula is defined as a measure of the ability of a cross-section to resist bending, which is essential in determining the stress and strain on a beam under load, providing critical information for structural engineers and designers. MOI of Area of Circular Section is denoted by I_circular 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 (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & Maximum Stress in Layer (σ_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?

Moment of Inertia of Neutral axis given Maximum Moment of Resistance formula is defined as a measure of the ability of a cross-section to resist bending, which is essential in determining the stress and strain on a beam under load, providing critical information for structural engineers and designers and is represented as I_circular = (M_r*Y_max)/σ_max or MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer. Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure, Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are used to calculate bending stresses in beams & Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.

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 formula is defined as a measure of the ability of a cross-section to resist bending, which is essential in determining the stress and strain on a beam under load, providing critical information for structural engineers and designers 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 (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & Maximum Stress in Layer (σ_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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