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

✖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.ⓘ MOI of Area of Circular Section [I_circular]			+10% -10%
✖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 of Outermost Layer from Neutral Axis given Maximum Moment of Resistance [Y_max]

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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
Y_max = (σ_max*I_circular)/M_r
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 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.
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.

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

Y_max = (σ_max*I_circular)/M_r --> (16000000*1.154E-09)/0.00022

Evaluating ... ...

Y_max = 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)

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National Institute Of Technology (NIT), Hamirpur

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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

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

LaTeX Go

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

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, Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance formula is defined as a measure of the maximum distance from the neutral axis to the outermost layer of a beam, which is critical in determining the bending stress and structural integrity of the beam under various loads. Distance b/w Outermost and Neutral Layer is denoted by Y_max 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 (σ_max), MOI of Area of Circular Section (I_circular) & Maximum Moment of Resistance (M_r) 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?

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance formula is defined as a measure of the maximum distance from the neutral axis to the outermost layer of a beam, which is critical in determining the bending stress and structural integrity of the beam under various loads and is represented as Y_max = (σ_max*I_circular)/M_r or Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance. 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, 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 is the highest internal moment that a structural section can withstand before failure.

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 formula is defined as a measure of the maximum distance from the neutral axis to the outermost layer of a beam, which is critical in determining the bending stress and structural integrity of the beam under various loads 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 (σ_max), MOI of Area of Circular Section (I_circular) & Maximum Moment of Resistance (M_r). 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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