Cracking Moment for Reinforced Concrete Beams Calculator

✖The Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs.ⓘ Modulus of Rupture of Concrete [f_cr]			+10% -10%
✖Moment of Inertia of Gross Concrete Section is a term used to describe the capacity of a cross-section to resist bending.ⓘ Moment of Inertia of Gross Concrete Section [I_g]			+10% -10%
✖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.ⓘ Distance from Centroidal [y_t]			+10% -10%

✖Cracking moment is defined as the moment, which when exceeded causes the cracking of concrete.ⓘ Cracking Moment for Reinforced Concrete Beams [M_cr]

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Formula

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Cracking Moment for Reinforced Concrete Beams

Formula

`"M"_{"cr"} = ("f"_{"cr"}*"I"_{"g"})/("y"_{"t"})`

Example

`"400.2kN*m"=("3MPa"*"20.01m⁴")/("150mm")`

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Cracking Moment for Reinforced Concrete Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal)
M_cr = (f_cr*I_g)/(y_t)
This formula uses 4 Variables

Variables Used

Cracking Moment - (Measured in Newton Meter) - Cracking moment is defined as the moment, which when exceeded causes the cracking of concrete.
Modulus of Rupture of Concrete - (Measured in Pascal) - The Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs.
Moment of Inertia of Gross Concrete Section - (Measured in Meter⁴) - Moment of Inertia of Gross Concrete Section is a term used to describe the capacity of a cross-section to resist bending.
Distance from Centroidal - (Measured in Millimeter) - 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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rupture of Concrete: 3 Megapascal --> 3000000 Pascal (Check conversion here)
Moment of Inertia of Gross Concrete Section: 20.01 Meter⁴ --> 20.01 Meter⁴ No Conversion Required
Distance from Centroidal: 150 Millimeter --> 150 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_cr = (f_cr*I_g)/(y_t) --> (3000000*20.01)/(150)

Evaluating ... ...

M_cr = 400200

STEP 3: Convert Result to Output's Unit

400200 Newton Meter -->400.2 Kilonewton Meter (Check conversion here)

FINAL ANSWER

400.2 Kilonewton Meter <-- Cracking Moment

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Concrete Formulas » Deflection Computations, Column Moments and Torsion » Deflection Computations and Concrete Beams Criteria » Cracking Moment for Reinforced Concrete Beams

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 3 Deflection Computations and Concrete Beams Criteria Calculators

Moment of Inertia of Gross Concrete Section given Cracking Moment

Go Moment of Inertia of Gross Concrete Section = (Cracking Moment*Distance from Centroidal)/(Modulus of Rupture of Concrete)

Distance from Centroidal Axis given Cracking Moment

Go Distance from Centroidal = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Cracking Moment)

Cracking Moment for Reinforced Concrete Beams

Go Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal)

Cracking Moment for Reinforced Concrete Beams Formula

Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal)
M_cr = (f_cr*I_g)/(y_t)

What is Cracking Moment?

The Cracking Moment for Reinforced Concrete Beams formula is defined as the moment, which when exceeded causes the cracking of concrete. For the calculation of the deflection in the concrete at cracking moment, the moment is calculated at which point, the failure will occur in concrete.

How to Calculate Cracking Moment for Reinforced Concrete Beams?

Cracking Moment for Reinforced Concrete Beams calculator uses Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal) to calculate the Cracking Moment, The Cracking Moment for Reinforced Concrete Beams formula is defined as the moment, which when exceeded causes the cracking of concrete. Cracking Moment is denoted by M_cr symbol.

How to calculate Cracking Moment for Reinforced Concrete Beams using this online calculator? To use this online calculator for Cracking Moment for Reinforced Concrete Beams, enter Modulus of Rupture of Concrete (f_cr), Moment of Inertia of Gross Concrete Section (I_g) & Distance from Centroidal (y_t) and hit the calculate button. Here is how the Cracking Moment for Reinforced Concrete Beams calculation can be explained with given input values -> 0.4 = (3000000*20.01)/(0.15).

FAQ

What is Cracking Moment for Reinforced Concrete Beams?

The Cracking Moment for Reinforced Concrete Beams formula is defined as the moment, which when exceeded causes the cracking of concrete and is represented as M_cr = (f_cr*I_g)/(y_t) or Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal). The Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs, Moment of Inertia of Gross Concrete Section is a term used to describe the capacity of a cross-section to resist bending & 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.

How to calculate Cracking Moment for Reinforced Concrete Beams?

The Cracking Moment for Reinforced Concrete Beams formula is defined as the moment, which when exceeded causes the cracking of concrete is calculated using Cracking Moment = (Modulus of Rupture of Concrete*Moment of Inertia of Gross Concrete Section)/(Distance from Centroidal). To calculate Cracking Moment for Reinforced Concrete Beams, you need Modulus of Rupture of Concrete (f_cr), Moment of Inertia of Gross Concrete Section (I_g) & Distance from Centroidal (y_t). With our tool, you need to enter the respective value for Modulus of Rupture of Concrete, Moment of Inertia of Gross Concrete Section & Distance from Centroidal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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