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Modulus of Elasticity of Concrete Formula

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Elastic Modulus of concrete for mix design is defined as the ratio of the applied stress to the corresponding strain. Check FAQs

E cmd = 5000 \cdot {(f ck)}^{0.5}

E_cmd - Elastic Modulus of Concrete for Mix Design?f_ck - Characteristic Compressive Strength?

Modulus of Elasticity of Concrete Example

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

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

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

22.3663 = 5000 \cdot {(20.01)}^{0.5}

22.3663MPa = 5000 \cdot {(20.01MPa)}^{0.5}

22.3663 = 5000 \cdot {(20.01)}^{0.5}

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Modulus of Elasticity of Concrete Solution

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

FIRST Step Consider the formula

E cmd = 5000 \cdot {(f ck)}^{0.5}

Next Step Substitute values of Variables

∴

E cmd = 5000 \cdot {(20.01MPa)}^{0.5}

Next Step Convert Units

∴

E cmd = 5000 \cdot {(2E+7Pa)}^{0.5}

Next Step Prepare to Evaluate

∴

E cmd = 5000 \cdot {(2E+7)}^{0.5}

Next Step Evaluate

∴

E cmd = 22366269.246345Pa

Next Step Convert to Output's Unit

∴

E cmd = 22.366269246345MPa

LAST Step Rounding Answer

∴

E cmd = 22.3663MPa

Modulus of Elasticity of Concrete Formula Elements

Variables

Elastic Modulus of Concrete for Mix Design

Elastic Modulus of concrete for mix design is defined as the ratio of the applied stress to the corresponding strain.

Symbol: E_cmd

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus of Concrete for Mix Design

Characteristic Compressive Strength

The Characteristic Compressive Strength is the strength of the concrete below which not more than 5% of the test results are expected to fall.

Symbol: f_ck

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Compressive Strength

How to Evaluate Modulus of Elasticity of Concrete?

Modulus of Elasticity of Concrete evaluator uses Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5 to evaluate the Elastic Modulus of Concrete for Mix Design, The Modulus of Elasticity of Concrete formula is defined as the ratio of the applied stress to the corresponding strain. It demonstrates the ability of concrete to withstand deformation due to applied stress and also its stiffness (the ability of concrete to deflect elastically). Elastic Modulus of Concrete for Mix Design is denoted by E_cmd symbol.

How to evaluate Modulus of Elasticity of Concrete using this online evaluator? To use this online evaluator for Modulus of Elasticity of Concrete, enter Characteristic Compressive Strength (f_ck) and hit the calculate button.

FAQs on Modulus of Elasticity of Concrete

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

The formula of Modulus of Elasticity of Concrete is expressed as Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5. Here is an example- 2.2E-5 = 5000*(20010000)^0.5.

How to calculate Modulus of Elasticity of Concrete?

With Characteristic Compressive Strength (f_ck) we can find Modulus of Elasticity of Concrete using the formula - Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5.

Can the Modulus of Elasticity of Concrete be negative?

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

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

Modulus of Elasticity 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 Elasticity of Concrete can be measured.

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