Modulus of Elasticity of Concrete in USCS Units Calculator

✖Weight of Cementitious Materials is the weight of cementitious materials mixed in the batch.ⓘ Weight of Cementitious Materials [w_c]			+10% -10%
✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%

✖Modulus of Elasticity of Concrete is the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity of Concrete in USCS Units [E_c]

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Modulus of Elasticity of Concrete in USCS Units

Formula

`"E"_{"c"} = 33*"w"_{"c"}^(1.5)*sqrt("f'"_{"c"})`

Example

`"20.87103MPa"=33*("20kg")^(1.5)*sqrt("50MPa")`

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Modulus of Elasticity of Concrete in USCS Units Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete)
E_c = 33*w_c^(1.5)*sqrt(f'_c)
This formula uses 1 Functions, 3 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 Pascal) - Modulus of Elasticity of Concrete is the ratio of the applied stress to the corresponding strain.
Weight of Cementitious Materials - (Measured in Kilogram) - Weight of Cementitious Materials is the weight of cementitious materials mixed in the batch.
Specified 28-Day Compressive Strength of Concrete - (Measured in Pascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

STEP 1: Convert Input(s) to Base Unit

Weight of Cementitious Materials: 20 Kilogram --> 20 Kilogram No Conversion Required
Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_c = 33*w_c^(1.5)*sqrt(f'_c) --> 33*20^(1.5)*sqrt(50000000)

Evaluating ... ...

E_c = 20871032.5571113

STEP 3: Convert Result to Output's Unit

20871032.5571113 Pascal -->20.8710325571113 Megapascal (Check conversion here)

FINAL ANSWER

20.8710325571113 ≈ 20.87103 Megapascal <-- Modulus of Elasticity of Concrete

(Calculation completed in 00.004 seconds)

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Modulus of Elasticity of Concrete in SI Units

Go Modulus of Elasticity of Concrete = 0.043*Weight of Cementitious Materials^1.5*sqrt(Specified 28-Day Compressive Strength of Concrete)

Modulus of Elasticity of Concrete in USCS Units

Go Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete)

Modulus of Elasticity of Concrete in USCS Units Formula

Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete)
E_c = 33*w_c^(1.5)*sqrt(f'_c)

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 in USCS Units?

Modulus of Elasticity of Concrete in USCS Units calculator uses Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete) to calculate the Modulus of Elasticity of Concrete, The Modulus of Elasticity of Concrete in USCS Units formula is defined as the ratio of the applied stress to the corresponding strain. It reflects the ability of concrete to deflect elastically. Modulus of Elasticity of Concrete is denoted by E_c symbol.

How to calculate Modulus of Elasticity of Concrete in USCS Units using this online calculator? To use this online calculator for Modulus of Elasticity of Concrete in USCS Units, enter Weight of Cementitious Materials (w_c) & Specified 28-Day Compressive Strength of Concrete (f'_c) and hit the calculate button. Here is how the Modulus of Elasticity of Concrete in USCS Units calculation can be explained with given input values -> 2.1E-5 = 33*20^(1.5)*sqrt(50000000).

FAQ

What is Modulus of Elasticity of Concrete in USCS Units?

The Modulus of Elasticity of Concrete in USCS Units formula is defined as the ratio of the applied stress to the corresponding strain. It reflects the ability of concrete to deflect elastically and is represented as E_c = 33*w_c^(1.5)*sqrt(f'_c) or Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete). Weight of Cementitious Materials is the weight of cementitious materials mixed in the batch & Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

How to calculate Modulus of Elasticity of Concrete in USCS Units?

The Modulus of Elasticity of Concrete in USCS Units formula is defined as the ratio of the applied stress to the corresponding strain. It reflects the ability of concrete to deflect elastically is calculated using Modulus of Elasticity of Concrete = 33*Weight of Cementitious Materials^(1.5)*sqrt(Specified 28-Day Compressive Strength of Concrete). To calculate Modulus of Elasticity of Concrete in USCS Units, you need Weight of Cementitious Materials (w_c) & Specified 28-Day Compressive Strength of Concrete (f'_c). With our tool, you need to enter the respective value for Weight of Cementitious Materials & Specified 28-Day Compressive Strength of Concrete 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 Weight of Cementitious Materials & Specified 28-Day Compressive Strength of Concrete. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity of Concrete = 0.043*Weight of Cementitious Materials^1.5*sqrt(Specified 28-Day Compressive Strength of Concrete)

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