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Distance from Centroidal Axis given Cracking Moment Formula

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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. Check FAQs

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

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

Distance from Centroidal Axis given Cracking Moment Example

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Here is how the Distance from Centroidal Axis given Cracking Moment equation looks like with Values.

Here is how the Distance from Centroidal Axis given Cracking Moment equation looks like with Units.

Here is how the Distance from Centroidal Axis given Cracking Moment equation looks like.

150.075 = \frac{3 \cdot 20.01}{400}

150.075mm = \frac{3MPa \cdot 20.01m⁴}{400kN*m}

150.075 = \frac{3 \cdot 20.01}{400}

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Distance from Centroidal Axis given Cracking Moment Solution

Follow our step by step solution on how to calculate Distance from Centroidal Axis given Cracking Moment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y t = \frac{3MPa \cdot 20.01m⁴}{400kN*m}

Next Step Convert Units

∴

y t = \frac{3E+6Pa \cdot 20.01m⁴}{400000N*m}

Next Step Prepare to Evaluate

∴

y t = \frac{3E+6 \cdot 20.01}{400000}

Next Step Evaluate

∴

y t = 0.150075m

LAST Step Convert to Output's Unit

∴

y t = 150.075mm

Distance from Centroidal Axis given Cracking Moment Formula Elements

Variables

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

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

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 Moment of Inertia of Gross Concrete Section given Cracking Moment

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

How to Evaluate Distance from Centroidal Axis given Cracking Moment?

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

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

FAQs on Distance from Centroidal Axis given Cracking Moment

What is the formula to find Distance from Centroidal Axis given Cracking Moment?

The formula of Distance from Centroidal Axis given Cracking Moment is expressed as Distance from Centroidal = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Cracking Moment). Here is an example- 150000 = (3000000*20.01)/(400000).

How to calculate Distance from Centroidal Axis given Cracking Moment?

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

Can the Distance from Centroidal Axis given Cracking Moment be negative?

No, the Distance from Centroidal Axis given Cracking Moment, measured in Length cannot be negative.

Which unit is used to measure Distance from Centroidal Axis given Cracking Moment?

Distance from Centroidal Axis given Cracking Moment is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance from Centroidal Axis given Cracking Moment can be measured.

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Distance from Centroidal Axis given Cracking Moment Formula

Distance from Centroidal Axis given Cracking Moment Example

Distance from Centroidal Axis given Cracking Moment Solution

Distance from Centroidal Axis given Cracking Moment Formula Elements

Other formulas in Deflection Computations and Concrete Beams Criteria category

How to Evaluate Distance from Centroidal Axis given Cracking Moment?

FAQs on Distance from Centroidal Axis given Cracking Moment

Variable Name