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Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Formula

GoMoment of Resistance in Bending Equation 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 r = \frac{I \cdot E}{R curvature}

M_r - Moment of Resistance?I - Area Moment of Inertia?E - Young's Modulus?R_curvature - Radius of Curvature?

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Example

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Here is how the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius equation looks like with Values.

Here is how the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius equation looks like with Units.

Here is how the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius equation looks like.

210526.3158 = \frac{0.0016 \cdot 20000}{152}

210526.3158kN*m = \frac{0.0016m⁴ \cdot 20000MPa}{152mm}

210526.3158 = \frac{0.0016 \cdot 20000}{152}

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Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Solution

Follow our step by step solution on how to calculate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

FIRST Step Consider the formula

M r = \frac{I \cdot E}{R curvature}

Next Step Substitute values of Variables

∴

M r = \frac{0.0016m⁴ \cdot 20000MPa}{152mm}

Next Step Convert Units

∴

M r = \frac{0.0016m⁴ \cdot 2E+10Pa}{0.152m}

Next Step Prepare to Evaluate

∴

M r = \frac{0.0016 \cdot 2E+10}{0.152}

Next Step Evaluate

∴

M r = 210526315.789474N*m

Next Step Convert to Output's Unit

∴

M r = 210526.315789474kN*m

LAST Step Rounding Answer

∴

M r = 210526.3158kN*m

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius 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_r

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment of Resistance

Area Moment of Inertia

Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Radius of Curvature

The Radius of Curvature is the reciprocal of the curvature.

Symbol: R_curvature

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Other Formulas to find Moment of Resistance

Go Moment of Resistance in Bending Equation

M r = \frac{I \cdot σ b}{y}

Other formulas in Combined Axial and Bending Loads category

Go Maximum Stress for Short Beams

σ max = (\frac{P}{A}) + (\frac{M max \cdot y}{I})

Go Axial Load given Maximum Stress for Short Beams

P = A \cdot (σ max - (\frac{M max \cdot y}{I}))

Go Cross-Sectional Area given Maximum Stress for Short Beams

A = \frac{P}{σ max - (\frac{M max \cdot y}{I})}

Go Maximum Bending Moment given Maximum Stress for Short Beams

M max = \frac{(σ max - (\frac{P}{A})) \cdot I}{y}

How to Evaluate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius evaluator uses Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature to evaluate the Moment of Resistance, The Moment of Resistance given Young's Modulus, Moment of Inertia and Radius formula is defined as resistance against moment offered when the beam is undergoing simple bending. Moment of Resistance is denoted by M_r symbol.

How to evaluate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius using this online evaluator? To use this online evaluator for Moment of Resistance given Young's Modulus, Moment of Inertia and Radius, enter Area Moment of Inertia (I), Young's Modulus (E) & Radius of Curvature (R_curvature) and hit the calculate button.

FAQs on Moment of Resistance given Young's Modulus, Moment of Inertia and Radius

What is the formula to find Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

The formula of Moment of Resistance given Young's Modulus, Moment of Inertia and Radius is expressed as Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature. Here is an example- 210.5263 = (0.0016*20000000000)/0.152.

How to calculate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

With Area Moment of Inertia (I), Young's Modulus (E) & Radius of Curvature (R_curvature) we can find Moment of Resistance given Young's Modulus, Moment of Inertia and Radius using the formula - Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature.

What are the other ways to Calculate Moment of Resistance?

Here are the different ways to Calculate Moment of Resistance-

Moment of Resistance=(Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis

Can the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius be negative?

No, the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius, measured in Moment of Force cannot be negative.

Which unit is used to measure Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Moment of Resistance given Young's Modulus, Moment of Inertia and Radius can be measured.

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Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Formula

​GoMoment of Resistance in Bending Equation Formula

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Example

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Solution

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius Formula Elements

Other Formulas to find Moment of Resistance

Other formulas in Combined Axial and Bending Loads category

How to Evaluate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

FAQs on Moment of Resistance given Young's Modulus, Moment of Inertia and Radius

Variable Name

GoMoment of Resistance in Bending Equation Formula