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Young's Modulus of Concrete Formula

GoModulus of Elasticity of Normal Weight and Density Concrete in USCS Units Formula

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Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain. Check FAQs

E c = 5000 \cdot (\sqrt{fck})

E_c - Modulus of Elasticity of Concrete?fck - Characteristic Compressive Strength?

Young's Modulus of Concrete Example

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Here is how the Young's Modulus of Concrete equation looks like with Values.

Here is how the Young's Modulus of Concrete equation looks like with Units.

Here is how the Young's Modulus of Concrete equation looks like.

22360.6798 = 5000 \cdot (\sqrt{20})

22360.6798MPa = 5000 \cdot (\sqrt{20MPa})

22360.6798 = 5000 \cdot (\sqrt{20})

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Young's Modulus of Concrete Solution

Follow our step by step solution on how to calculate Young's Modulus of Concrete?

FIRST Step Consider the formula

E c = 5000 \cdot (\sqrt{fck})

Next Step Substitute values of Variables

∴

E c = 5000 \cdot (\sqrt{20MPa})

Next Step Prepare to Evaluate

∴

E c = 5000 \cdot (\sqrt{20})

Next Step Evaluate

∴

E c = 22360679774.9979Pa

Next Step Convert to Output's Unit

∴

E c = 22360.6797749979MPa

LAST Step Rounding Answer

∴

E c = 22360.6798MPa

Young's Modulus of Concrete Formula Elements

Variables

Functions

Modulus of Elasticity of Concrete

Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.

Symbol: E_c

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Modulus of Elasticity 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Modulus of Elasticity of Concrete

Go Modulus of Elasticity of Normal Weight and Density Concrete in USCS Units

E c = 57000 \cdot \sqrt{f c}

Other formulas in Modulus of Elasticity category

Go Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete

E = (W^{1.5}) \cdot 0.043 \cdot \sqrt{f c}

Go Young's Modulus using Bulk Modulus

E = 3 \cdot K \cdot (1 - 2 \cdot 𝛎)

Go Young's Modulus using Poisson's Ratio

E = \frac{3 \cdot σ t \cdot (1 - 2 \cdot 𝛎)}{ε v}

How to Evaluate Young's Modulus of Concrete?

Young's Modulus of Concrete evaluator uses Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength)) to evaluate the Modulus of Elasticity of Concrete, The Young's Modulus of concrete is defined as the measurement of the stiffness of the concrete which is a good indicator of strength. The modulus of elasticity of concrete is a function of the modulus of elasticity of the aggregates and the cement matrix and their relative proportions. Modulus of Elasticity of Concrete is denoted by E_c symbol.

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

FAQs on Young's Modulus of Concrete

What is the formula to find Young's Modulus of Concrete?

The formula of Young's Modulus of Concrete is expressed as Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength)). Here is an example- 2.2E-5 = 5000*(sqrt(20000000)).

How to calculate Young's Modulus of Concrete?

With Characteristic Compressive Strength (fck) we can find Young's Modulus of Concrete using the formula - Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Modulus of Elasticity of Concrete?

Here are the different ways to Calculate Modulus of Elasticity of Concrete-

Modulus of Elasticity of Concrete=57000*sqrt(28 Day Compressive Strength of Concrete)

Can the Young's Modulus of Concrete be negative?

Yes, the Young's Modulus of Concrete, measured in Pressure can be negative.

Which unit is used to measure Young's Modulus of Concrete?

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

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