Modulus of Elasticity of Concrete Calculator

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

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✖Elastic Modulus of concrete for mix design is defined as the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity of Concrete [E_cmd]

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Modulus of Elasticity of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5
E_cmd = 5000*(f_ck)^0.5
This formula uses 2 Variables

Variables Used

Elastic Modulus of Concrete for Mix Design - (Measured in Pascal) - Elastic Modulus of concrete for mix design is defined as the ratio of the applied stress to the corresponding strain.
Characteristic Compressive Strength - (Measured in Pascal) - The Characteristic Compressive Strength is 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: 20.01 Megapascal --> 20010000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_cmd = 5000*(f_ck)^0.5 --> 5000*(20010000)^0.5

Evaluating ... ...

E_cmd = 22366269.246345

STEP 3: Convert Result to Output's Unit

22366269.246345 Pascal -->22.366269246345 Megapascal (Check conversion here)

FINAL ANSWER

22.366269246345 ≈ 22.36627 Megapascal <-- Elastic Modulus of Concrete for Mix Design

(Calculation completed in 00.004 seconds)

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Modulus of Elasticity of Concrete

LaTeX Go Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5

Modulus of Elasticity of Concrete Formula

LaTeX Go

Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5
E_cmd = 5000*(f_ck)^0.5

Define Modulus of Elasticity of Concrete.

The Modulus of elasticity of concrete (E_c) is defined as the ratio of the applied stress to the corresponding strain. In other words, it reflects the ability of concrete to deflect elastically. Modulus of elasticity of concrete is sensitive to aggregate and mixture proportions of concrete.

What is the value of Modulus of Elasticity of Concrete?

The Modulus of Elasticity of Concrete is relatively constant at low stress levels but starts decreasing at higher stress levels as matrix cracking develops. The elastic modulus of the hardened paste may be in the order of 10-30 GPa and aggregates about 45 to 85 GPa.

How to Calculate Modulus of Elasticity of Concrete?

Modulus of Elasticity of Concrete calculator uses Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5 to calculate 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 calculate Modulus of Elasticity of Concrete using this online calculator? To use this online calculator for Modulus of Elasticity of Concrete, enter Characteristic Compressive Strength (f_ck) and hit the calculate button. Here is how the Modulus of Elasticity of Concrete calculation can be explained with given input values -> 2.2E-5 = 5000*(20010000)^0.5.

FAQ

What is Modulus of Elasticity of Concrete?

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) and is represented as E_cmd = 5000*(f_ck)^0.5 or Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5. The Characteristic Compressive Strength is the strength of the concrete below which not more than 5% of the test results are expected to fall.

How to calculate Modulus of Elasticity of Concrete?

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) is calculated using Elastic Modulus of Concrete for Mix Design = 5000*(Characteristic Compressive Strength)^0.5. To calculate Modulus of Elasticity of Concrete, you need Characteristic Compressive Strength (f_ck). 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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