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

GoDistance of Outermost Layer from Neutral Axis using Section Modulus Formula

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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. Check FAQs

Y max = \frac{σ max \cdot I circular}{M r}

Y_max - Distance b/w Outermost and Neutral Layer?σ_max - Maximum Stress in Layer?I_circular - MOI of Area of Circular Section?M_r - Maximum Moment of Resistance?

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

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Here is how the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance equation looks like with Values.

Here is how the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance equation looks like with Units.

Here is how the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance equation looks like.

83927.2727 = \frac{16 \cdot 1154}{2.2E+8}

83927.2727mm = \frac{16MPa \cdot 1154mm⁴}{2.2E+8mm⁴}

83927.2727 = \frac{16 \cdot 1154}{2.2E+8}

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

Follow our step by step solution on how to calculate Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?

FIRST Step Consider the formula

Y max = \frac{σ max \cdot I circular}{M r}

Next Step Substitute values of Variables

∴

Y max = \frac{16MPa \cdot 1154mm⁴}{2.2E+8mm⁴}

Next Step Convert Units

∴

Y max = \frac{1.6E+7Pa \cdot 1.2E-9m⁴}{0.0002m⁴}

Next Step Prepare to Evaluate

∴

Y max = \frac{1.6E+7 \cdot 1.2E-9}{0.0002}

Next Step Evaluate

∴

Y max = 83.9272727272727m

Next Step Convert to Output's Unit

∴

Y max = 83927.2727272727mm

LAST Step Rounding Answer

∴

Y max = 83927.2727mm

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

Variables

Distance b/w Outermost and Neutral Layer

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.

Symbol: Y_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance b/w Outermost and Neutral Layer

Maximum Stress in Layer

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.

Symbol: σ_max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress in Layer

MOI of Area of Circular Section

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.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

Maximum Moment of Resistance

Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.

Symbol: M_r

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Maximum Moment of Resistance

Other Formulas to find Distance b/w Outermost and Neutral Layer

Go Distance of Outermost Layer from Neutral Axis using Section Modulus

Y max = \frac{I circular}{Z}

Other formulas in Section Modulus category

Go Section Modulus given Maximum Moment of Resistance

Z = \frac{M r}{σ max}

Go Maximum Stress given Maximum Moment of Resistance and Section Modulus

σ max = \frac{M r}{Z}

Go Maximum Moment of Resistance given Section Modulus

M r = Z \cdot σ max

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

I circular = \frac{M r \cdot Y max}{σ max}

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

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance evaluator uses Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance to evaluate 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 evaluate Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance using this online evaluator? To use this online evaluator 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.

FAQs on Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance

What is the formula to find Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?

The formula of Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance is expressed as Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance. Here is an example- 8.4E+7 = (16000000*1.154E-09)/0.00022.

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

With Maximum Stress in Layer (σ_max), MOI of Area of Circular Section (I_circular) & Maximum Moment of Resistance (M_r) we can find Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance using the formula - Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance.

What are the other ways to Calculate Distance b/w Outermost and Neutral Layer?

Here are the different ways to Calculate Distance b/w Outermost and Neutral Layer-

Distance b/w Outermost and Neutral Layer=MOI of Area of Circular Section/Section Modulus

Can the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance be negative?

No, the Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance, measured in Length cannot be negative.

Which unit is used to measure Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance?

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance can be measured.

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

​GoDistance of Outermost Layer from Neutral Axis using Section Modulus Formula

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

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

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

Other Formulas to find Distance b/w Outermost and Neutral Layer

Other formulas in Section Modulus category

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

FAQs on Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance

Variable Name

GoDistance of Outermost Layer from Neutral Axis using Section Modulus Formula