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Moment of Resistance Formula

GoMoment of Resistance using Stress in Layer of Beam Formula

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Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress. Check FAQs

M resistance = \frac{E \cdot I circular}{R}

M_resistance - Moment of Resistance?E - Young's Modulus of Beam?I_circular - MOI of Area of Circular Section?R - Radius of Neutral Layer?

Moment of Resistance Example

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

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

Here is how the Moment of Resistance equation looks like.

8078 = \frac{14 \cdot 1154}{2}

8078N*mm = \frac{14MPa \cdot 1154mm⁴}{2mm}

8078 = \frac{14 \cdot 1154}{2}

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Moment of Resistance Solution

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

FIRST Step Consider the formula

M resistance = \frac{E \cdot I circular}{R}

Next Step Substitute values of Variables

∴

M resistance = \frac{14MPa \cdot 1154mm⁴}{2mm}

Next Step Convert Units

∴

M resistance = \frac{1.4E+7Pa \cdot 1.2E-9m⁴}{0.002m}

Next Step Prepare to Evaluate

∴

M resistance = \frac{1.4E+7 \cdot 1.2E-9}{0.002}

Next Step Evaluate

∴

M resistance = 8.078N*m

LAST Step Convert to Output's Unit

∴

M resistance = 8078N*mm

Moment of Resistance Formula Elements

Variables

Moment of Resistance

Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

Symbol: M_resistance

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Moment of Resistance

Young's Modulus of Beam

Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus of Beam

MOI of Area of Circular Section

MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.

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

Radius of Neutral Layer

Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Neutral Layer

Other Formulas to find Moment of Resistance

Go Moment of Resistance using Stress in Layer of Beam

M resistance = \frac{σ \cdot I circular}{d nl}

Other formulas in Stress Variation category

Go Radius of Neutral Axis using Moment of Resistance

R = \frac{E \cdot I circular}{M resistance}

Go Stress in Layer of Beam given Moment of Resistance

σ = \frac{M resistance \cdot d nl}{I circular}

Go Distance between Neutral and Considered Layer using Moment of Resistance

d nl = \frac{σ \cdot I circular}{M resistance}

Go Moment of Inertia of Area of Section of Beam given Stress in Layer

I circular = \frac{M resistance \cdot d nl}{σ}

How to Evaluate Moment of Resistance?

Moment of Resistance evaluator uses Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer to evaluate the Moment of Resistance, The Moment of resistance formula is defined as a measure of the opposition to bending stress in a beam, which is a critical parameter in structural analysis, helping engineers to design and optimize beam structures to withstand external loads and stresses. Moment of Resistance is denoted by M_resistance symbol.

How to evaluate Moment of Resistance using this online evaluator? To use this online evaluator for Moment of Resistance, enter Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Radius of Neutral Layer (R) and hit the calculate button.

FAQs on Moment of Resistance

What is the formula to find Moment of Resistance?

The formula of Moment of Resistance is expressed as Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer. Here is an example- 8.1E+6 = (14000000*1.154E-09)/0.002.

How to calculate Moment of Resistance?

With Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Radius of Neutral Layer (R) we can find Moment of Resistance using the formula - Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer.

What are the other ways to Calculate Moment of Resistance?

Here are the different ways to Calculate Moment of Resistance-

Moment of Resistance=(Stress in Layer*MOI of Area of Circular Section)/Distance from Neutral Layer

Can the Moment of Resistance be negative?

No, the Moment of Resistance, measured in Torque cannot be negative.

Which unit is used to measure Moment of Resistance?

Moment of Resistance is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Moment of Resistance can be measured.

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Moment of Resistance Formula

​GoMoment of Resistance using Stress in Layer of Beam Formula

Moment of Resistance Example

Moment of Resistance Solution

Moment of Resistance Formula Elements

Other Formulas to find Moment of Resistance

Other formulas in Stress Variation category

How to Evaluate Moment of Resistance?

FAQs on Moment of Resistance

Variable Name

GoMoment of Resistance using Stress in Layer of Beam Formula