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Maximum Moment of Resistance Formula

GoMaximum Moment of Resistance given Section Modulus Formula

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

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

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

Maximum Moment of Resistance Example

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Here is how the Maximum Moment of Resistance equation looks like with Values.

Here is how the Maximum Moment of Resistance equation looks like with Units.

Here is how the Maximum Moment of Resistance equation looks like.

2.5E+9 = \frac{16 \cdot 1154}{7500}

2.5E+9mm⁴ = \frac{16MPa \cdot 1154mm⁴}{7500mm}

2.5E+9 = \frac{16 \cdot 1154}{7500}

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Maximum Moment of Resistance Solution

Follow our step by step solution on how to calculate Maximum Moment of Resistance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M r = \frac{16MPa \cdot 1154mm⁴}{7500mm}

Next Step Convert Units

∴

M r = \frac{1.6E+7Pa \cdot 1.2E-9m⁴}{7.5m}

Next Step Prepare to Evaluate

∴

M r = \frac{1.6E+7 \cdot 1.2E-9}{7.5}

Next Step Evaluate

∴

M r = 0.00246186666666667m⁴

Next Step Convert to Output's Unit

∴

M r = 2461866666.66667mm⁴

LAST Step Rounding Answer

∴

M r = 2.5E+9mm⁴

Maximum Moment of Resistance Formula Elements

Variables

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

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

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

Other Formulas to find Maximum Moment of Resistance

Go Maximum Moment of Resistance given Section Modulus

M r = Z \cdot σ max

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 Moment of Inertia of Neutral axis given Maximum Moment of Resistance

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

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

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

How to Evaluate Maximum Moment of Resistance?

Maximum Moment of Resistance evaluator uses Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer to evaluate the Maximum Moment of Resistance, Maximum Moment of Resistance formula is defined as the maximum moment a beam can resist in bending without undergoing plastic deformation, which is a critical parameter in beam design to ensure structural integrity and safety. Maximum Moment of Resistance is denoted by M_r symbol.

How to evaluate Maximum Moment of Resistance using this online evaluator? To use this online evaluator for Maximum Moment of Resistance, enter Maximum Stress in Layer (σ_max), MOI of Area of Circular Section (I_circular) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button.

FAQs on Maximum Moment of Resistance

What is the formula to find Maximum Moment of Resistance?

The formula of Maximum Moment of Resistance is expressed as Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer. Here is an example- 2.5E+21 = (16000000*1.154E-09)/7.5.

How to calculate Maximum Moment of Resistance?

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

What are the other ways to Calculate Maximum Moment of Resistance?

Here are the different ways to Calculate Maximum Moment of Resistance-

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

Can the Maximum Moment of Resistance be negative?

No, the Maximum Moment of Resistance, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Maximum Moment of Resistance?

Maximum Moment of Resistance is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Maximum Moment of Resistance can be measured.

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Maximum Moment of Resistance Formula

​GoMaximum Moment of Resistance given Section Modulus Formula

Maximum Moment of Resistance Example

Maximum Moment of Resistance Solution

Maximum Moment of Resistance Formula Elements

Other Formulas to find Maximum Moment of Resistance

Other formulas in Section Modulus category

How to Evaluate Maximum Moment of Resistance?

FAQs on Maximum Moment of Resistance

Variable Name

GoMaximum Moment of Resistance given Section Modulus Formula