Young's Modulus 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 Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.ⓘ Young's Modulus of Concrete [E_c]

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Formula

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Young's Modulus of Concrete

Formula

`"E"_{"c"} = 5000*(sqrt("fck"))`

Example

`"22360.68MPa"=5000*(sqrt("20MPa"))`

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Young's Modulus of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength))
E_c = 5000*(sqrt(fck))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Modulus of Elasticity of Concrete - (Measured in Megapascal) - Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.
Characteristic Compressive Strength - (Measured in Megapascal) - 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 --> 20 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_c = 5000*(sqrt(fck)) --> 5000*(sqrt(20))

Evaluating ... ...

E_c = 22360.6797749979

STEP 3: Convert Result to Output's Unit

22360679774.9979 Pascal -->22360.6797749979 Megapascal (Check conversion here)

FINAL ANSWER

22360.6797749979 ≈ 22360.68 Megapascal <-- Modulus of Elasticity of Concrete

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 5 Modulus of Elasticity Calculators

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

Go Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete)

Young's Modulus using Poisson's Ratio

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

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

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

Young's Modulus of Concrete

Go Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength))

Young's Modulus using Bulk Modulus

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

Young's Modulus of Concrete Formula

Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength))
E_c = 5000*(sqrt(fck))

What is Young's Modulus of Concrete?

The Youngs modulus of concrete formula is defined as a fundamental parameter in designing concrete structures. In recent years building specifications have even required a specific elastic modulus of concrete to be met, mostly to limit excessive deformation and sway in tall buildings.

How to Calculate Young's Modulus of Concrete?

Young's Modulus of Concrete calculator uses Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength)) to calculate 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 calculate Young's Modulus of Concrete using this online calculator? To use this online calculator for Young's Modulus of Concrete, enter Characteristic Compressive Strength (fck) and hit the calculate button. Here is how the Young's Modulus of Concrete calculation can be explained with given input values -> 2.2E-5 = 5000*(sqrt(20000000)).

FAQ

What is Young's Modulus 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 and is represented as E_c = 5000*(sqrt(fck)) or Modulus of Elasticity of Concrete = 5000*(sqrt(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.

How to calculate Young's Modulus 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 is calculated using Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength)). To calculate Young's Modulus 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.

How many ways are there to calculate Modulus of Elasticity of Concrete?

In this formula, Modulus of Elasticity of Concrete uses Characteristic Compressive Strength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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