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Modulus of Rupture of Concrete Formula

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

f r = 7.5 \cdot ({(fck)}^{\frac{1}{2}})

f_r - Modulus of Rupture of Concrete?fck - Characteristic Compressive Strength?

Modulus of Rupture of Concrete Example

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With units

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Here is how the Modulus of Rupture of Concrete equation looks like with Values.

Here is how the Modulus of Rupture of Concrete equation looks like with Units.

Here is how the Modulus of Rupture of Concrete equation looks like.

0.0335 = 7.5 \cdot ({(20)}^{\frac{1}{2}})

0.0335MPa = 7.5 \cdot ({(20MPa)}^{\frac{1}{2}})

0.0335 = 7.5 \cdot ({(20)}^{\frac{1}{2}})

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Modulus of Rupture of Concrete Solution

Follow our step by step solution on how to calculate Modulus of Rupture of Concrete?

FIRST Step Consider the formula

f r = 7.5 \cdot ({(fck)}^{\frac{1}{2}})

Next Step Substitute values of Variables

∴

f r = 7.5 \cdot ({(20MPa)}^{\frac{1}{2}})

Next Step Convert Units

∴

f r = 7.5 \cdot ({(2E+7Pa)}^{\frac{1}{2}})

Next Step Prepare to Evaluate

∴

f r = 7.5 \cdot ({(2E+7)}^{\frac{1}{2}})

Next Step Evaluate

∴

f r = 33541.0196624968Pa

Next Step Convert to Output's Unit

∴

f r = 0.0335410196624968MPa

LAST Step Rounding Answer

∴

f r = 0.0335MPa

Modulus of Rupture of Concrete Formula Elements

Variables

Modulus of Rupture of Concrete

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

Symbol: f_r

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rupture of Concrete

Characteristic Compressive Strength

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.

Symbol: fck

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Compressive Strength

Other formulas in Compression category

Go 28-Day Concrete Compressive Strength

f c = S 7 + (30 \cdot \sqrt{S 7})

Go 28-Day Concrete Compressive Strength given Water Cement Ratio

f c = (2700 \cdot CW) - 760

Go Water Cement Ratio given 28-Day Concrete Compressive Strength

CW = \frac{f c + 760}{2700}

Go Bulk Modulus given Direct Stress

K = \frac{σ}{ε v}

How to Evaluate Modulus of Rupture of Concrete?

Modulus of Rupture of Concrete evaluator uses Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)) to evaluate 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 evaluate Modulus of Rupture of Concrete using this online evaluator? To use this online evaluator for Modulus of Rupture of Concrete, enter Characteristic Compressive Strength (fck) and hit the calculate button.

FAQs on Modulus of Rupture of Concrete

What is the formula to find Modulus of Rupture of Concrete?

The formula of Modulus of Rupture of Concrete is expressed as Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)). Here is an example- 3.4E-8 = 7.5*((20000000)^(1/2)).

How to calculate Modulus of Rupture of Concrete?

With Characteristic Compressive Strength (fck) we can find Modulus of Rupture of Concrete using the formula - Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2)).

Can the Modulus of Rupture of Concrete be negative?

No, the Modulus of Rupture of Concrete, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rupture of Concrete?

Modulus of Rupture of Concrete is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Rupture of Concrete can be measured.

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