Modulus of Rupture of Concrete Calculator

✖The characteristic compressive strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.ⓘ Characteristic Compressive Strength [fck]

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✖Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs.ⓘ Modulus of Rupture of Concrete [f_r]

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Formula

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Modulus of Rupture of Concrete

Formula

`"f"_{"r"} = 7.5*(("fck")^(1/2))`

Example

`"0.033541MPa"=7.5*(("20MPa")^(1/2))`

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Modulus of Rupture of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))
f_r = 7.5*((fck)^(1/2))
This formula uses 2 Variables

Variables Used

Modulus of Rupture of Concrete - (Measured in Pascal) - Modulus of Rupture of Concrete is a measure of the tensile strength of concrete beams or slabs.
Characteristic Compressive Strength - (Measured in Pascal) - The characteristic compressive strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.

STEP 1: Convert Input(s) to Base Unit

Characteristic Compressive Strength: 20 Megapascal --> 20000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_r = 7.5*((fck)^(1/2)) --> 7.5*((20000000)^(1/2))

Evaluating ... ...

f_r = 33541.0196624968

STEP 3: Convert Result to Output's Unit

33541.0196624968 Pascal -->0.0335410196624968 Megapascal (Check conversion here)

FINAL ANSWER

0.0335410196624968 ≈ 0.033541 Megapascal <-- Modulus of Rupture of Concrete

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< 19 Compression Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

28-Day Concrete Compressive Strength

Go 28 Day Compressive Strength of Concrete = 7 Day Compressive Strength+(30*sqrt(7 Day Compressive Strength))

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)

Volumetric Strain using Young's Modulus and Poisson's Ratio

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Modulus of Rupture of Concrete

Go Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

28-Day Concrete Compressive Strength given Water Cement Ratio

Go 28 Day Compressive Strength of Concrete = (2700*Water Cement Ratio)-760

Water Cement Ratio given 28-Day Concrete Compressive Strength

Go Water Cement Ratio = (28 Day Compressive Strength of Concrete+760)/2700

Modulus of Rupture of Concrete Formula

Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))
f_r = 7.5*((fck)^(1/2))

What is Modulus of Rupture of Concrete?

The Modulus of Rupture of Concrete formula is defined as a measure of the tensile strength of concrete beams or slabs.Flexural strength, also known as modulus of rupture, or bend strength, or transverse rupture strength is a material property, defined as the stress in a material just before it yields in a flexure test.

How to Calculate Modulus of Rupture of Concrete?

Modulus of Rupture of Concrete calculator uses Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)) to calculate the Modulus of Rupture of Concrete, The Modulus of Rupture of Concrete is defined as a measure of the tensile strength of concrete beams or slabs. Modulus of Rupture of Concrete is denoted by f_r symbol.

How to calculate Modulus of Rupture of Concrete using this online calculator? To use this online calculator for Modulus of Rupture of Concrete, enter Characteristic Compressive Strength (fck) and hit the calculate button. Here is how the Modulus of Rupture of Concrete calculation can be explained with given input values -> 3.4E-8 = 7.5*((20000000)^(1/2)).

FAQ

What is Modulus of Rupture of Concrete?

The Modulus of Rupture of Concrete is defined as a measure of the tensile strength of concrete beams or slabs and is represented as f_r = 7.5*((fck)^(1/2)) or Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)). The characteristic compressive strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.

How to calculate Modulus of Rupture of Concrete?

The Modulus of Rupture of Concrete is defined as a measure of the tensile strength of concrete beams or slabs is calculated using Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)). To calculate Modulus of Rupture of Concrete, you need Characteristic Compressive Strength (fck). With our tool, you need to enter the respective value for Characteristic Compressive Strength 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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