FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoNeutral Axis Moment of Inertia given Maximum Stress for Short Beams Formula

GoMoment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

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

With values

With units

Only example

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

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

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

3.5E-8 = \frac{4.608 \cdot 152}{20000}

3.5E-8m⁴ = \frac{4.608kN*m \cdot 152mm}{20000MPa}

3.5E-8 = \frac{4.608 \cdot 152}{20000}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Moment of Inertia given Young's Modulus, Moment of Resistance and Radius

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{4.608kN*m \cdot 152mm}{20000MPa}

Next Step Convert Units

∴

I = \frac{4608N*m \cdot 0.152m}{2E+10Pa}

Next Step Prepare to Evaluate

∴

I = \frac{4608 \cdot 0.152}{2E+10}

Next Step Evaluate

∴

I = 3.50208E-08m⁴

LAST Step Rounding Answer

∴

I = 3.5E-8m⁴

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

Variables

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

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

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

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

Other Formulas to find Area Moment of Inertia

Go Neutral Axis Moment of Inertia given Maximum Stress for Short Beams

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

Go Moment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber

I = \frac{y \cdot M r}{σ b}

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

Moment of Inertia given Young's Modulus, Moment of Resistance and Radius evaluator uses Area Moment of Inertia = (Moment of Resistance*Radius of Curvature)/Young's Modulus to evaluate the Area Moment of Inertia, The Moment of Inertia given Young's Modulus, Moment of Resistance and Radius formula is defined as the moment of Inertia when the beam of a desired cross-section is undergoing simple bending. Area Moment of Inertia is denoted by I symbol.

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

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

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

The formula of Moment of Inertia given Young's Modulus, Moment of Resistance and Radius is expressed as Area Moment of Inertia = (Moment of Resistance*Radius of Curvature)/Young's Modulus. Here is an example- 3.5E-8 = (4608*0.152)/20000000000.

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

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

What are the other ways to Calculate Area Moment of Inertia?

Here are the different ways to Calculate Area Moment of Inertia-

Area Moment of Inertia=(Maximum Bending Moment*Cross Sectional Area*Distance from Neutral Axis)/((Maximum Stress*Cross Sectional Area)-(Axial Load))
Area Moment of Inertia=(Distance from Neutral Axis*Moment of Resistance)/Bending Stress

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

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

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

Moment of Inertia given Young's Modulus, Moment of Resistance and Radius is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Inertia given Young's Modulus, Moment of Resistance and Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoNeutral Axis Moment of Inertia given Maximum Stress for Short Beams Formula

​GoMoment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber Formula

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

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

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

Other Formulas to find Area Moment of Inertia

Other formulas in Combined Axial and Bending Loads category

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

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

Variable Name

GoNeutral Axis Moment of Inertia given Maximum Stress for Short Beams Formula

GoMoment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber Formula