FormulaDen.com

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

Moment of Inertia of Gross Concrete Section given Cracking Moment Formula

Fx Copy

LaTeX Copy

Moment of Inertia of Gross Concrete Section is a term used to describe the capacity of a cross-section to resist bending. Check FAQs

I g = \frac{M cr \cdot y t}{f cr}

I_g - Moment of Inertia of Gross Concrete Section?M_cr - Cracking Moment?y_t - Distance from Centroidal?f_cr - Modulus of Rupture of Concrete?

Moment of Inertia of Gross Concrete Section given Cracking Moment Example

With values

With units

Only example

Here is how the Moment of Inertia of Gross Concrete Section given Cracking Moment equation looks like with Values.

Here is how the Moment of Inertia of Gross Concrete Section given Cracking Moment equation looks like with Units.

Here is how the Moment of Inertia of Gross Concrete Section given Cracking Moment equation looks like.

20 = \frac{400 \cdot 150}{3}

20m⁴ = \frac{400kN*m \cdot 150mm}{3MPa}

20 = \frac{400 \cdot 150}{3}

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

Concrete Formulas » fx Moment of Inertia of Gross Concrete Section given Cracking Moment

Moment of Inertia of Gross Concrete Section given Cracking Moment Solution

Follow our step by step solution on how to calculate Moment of Inertia of Gross Concrete Section given Cracking Moment?

FIRST Step Consider the formula

I g = \frac{M cr \cdot y t}{f cr}

Next Step Substitute values of Variables

∴

I g = \frac{400kN*m \cdot 150mm}{3MPa}

Next Step Convert Units

∴

I g = \frac{400000N*m \cdot 150mm}{3E+6Pa}

Next Step Prepare to Evaluate

∴

I g = \frac{400000 \cdot 150}{3E+6}

LAST Step Evaluate

∴

I g = 20m⁴

Moment of Inertia of Gross Concrete Section given Cracking Moment Formula Elements

Variables

Moment of Inertia of Gross Concrete Section

Moment of Inertia of Gross Concrete Section is a term used to describe the capacity of a cross-section to resist bending.

Symbol: I_g

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Gross Concrete Section

Cracking Moment

Cracking moment is defined as the moment, which when exceeded causes the cracking of concrete.

Symbol: M_cr

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Cracking Moment

Distance from Centroidal

Distance from Centroidal is a geometric center, to a point is the average of the distances from that point to all other points in the shape.

Symbol: y_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal

Modulus of Rupture of Concrete

The Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs.

Symbol: f_cr

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rupture of Concrete

Other formulas in Deflection Computations and Concrete Beams Criteria category

Go Cracking Moment for Reinforced Concrete Beams

M cr = \frac{f cr \cdot I g}{y t}

Go Distance from Centroidal Axis given Cracking Moment

y t = \frac{f cr \cdot I g}{M cr}

How to Evaluate Moment of Inertia of Gross Concrete Section given Cracking Moment?

Moment of Inertia of Gross Concrete Section given Cracking Moment evaluator uses Moment of Inertia of Gross Concrete Section = (Cracking Moment*Distance from Centroidal)/(Modulus of Rupture of Concrete) to evaluate the Moment of Inertia of Gross Concrete Section, The Moment of Inertia of Gross Concrete Section given Cracking Moment formula is defined as the ratio of the product of cracking moment and distance from the centroidal axis of the gross section to the modulus of rupture of concrete. Moment of Inertia of Gross Concrete Section is denoted by I_g symbol.

How to evaluate Moment of Inertia of Gross Concrete Section given Cracking Moment using this online evaluator? To use this online evaluator for Moment of Inertia of Gross Concrete Section given Cracking Moment, enter Cracking Moment (M_cr), Distance from Centroidal (y_t) & Modulus of Rupture of Concrete (f_cr) and hit the calculate button.

FAQs on Moment of Inertia of Gross Concrete Section given Cracking Moment

What is the formula to find Moment of Inertia of Gross Concrete Section given Cracking Moment?

The formula of Moment of Inertia of Gross Concrete Section given Cracking Moment is expressed as Moment of Inertia of Gross Concrete Section = (Cracking Moment*Distance from Centroidal)/(Modulus of Rupture of Concrete). Here is an example- 20 = (400000*0.15)/(3000000).

How to calculate Moment of Inertia of Gross Concrete Section given Cracking Moment?

With Cracking Moment (M_cr), Distance from Centroidal (y_t) & Modulus of Rupture of Concrete (f_cr) we can find Moment of Inertia of Gross Concrete Section given Cracking Moment using the formula - Moment of Inertia of Gross Concrete Section = (Cracking Moment*Distance from Centroidal)/(Modulus of Rupture of Concrete).

Can the Moment of Inertia of Gross Concrete Section given Cracking Moment be negative?

No, the Moment of Inertia of Gross Concrete Section given Cracking Moment, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Gross Concrete Section given Cracking Moment?

Moment of Inertia of Gross Concrete Section given Cracking Moment 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 of Gross Concrete Section given Cracking Moment can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Moment of Inertia of Gross Concrete Section given Cracking Moment Formula

Moment of Inertia of Gross Concrete Section given Cracking Moment Example

Moment of Inertia of Gross Concrete Section given Cracking Moment Solution

Moment of Inertia of Gross Concrete Section given Cracking Moment Formula Elements

Other formulas in Deflection Computations and Concrete Beams Criteria category

How to Evaluate Moment of Inertia of Gross Concrete Section given Cracking Moment?

FAQs on Moment of Inertia of Gross Concrete Section given Cracking Moment

Variable Name