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

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

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

E - Young's Modulus?W - Weight of Concrete?f_c - 28 Day Compressive Strength of Concrete?

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

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Here is how the Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete equation looks like with Values.

Here is how the Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete equation looks like with Units.

Here is how the Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete equation looks like.

5.2664 = (1000^{1.5}) \cdot 0.043 \cdot \sqrt{15}

5.2664MPa = ({1000kg/m³}^{1.5}) \cdot 0.043 \cdot \sqrt{15MPa}

5.2664 = (1000^{1.5}) \cdot 0.043 \cdot \sqrt{15}

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

Follow our step by step solution on how to calculate Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = ({1000kg/m³}^{1.5}) \cdot 0.043 \cdot \sqrt{15MPa}

Next Step Convert Units

∴

E = ({1000kg/m³}^{1.5}) \cdot 0.043 \cdot \sqrt{1.5E+7Pa}

Next Step Prepare to Evaluate

∴

E = (1000^{1.5}) \cdot 0.043 \cdot \sqrt{1.5E+7}

Next Step Evaluate

∴

E = 5266402.94698383Pa

Next Step Convert to Output's Unit

∴

E = 5.26640294698383MPa

LAST Step Rounding Answer

∴

E = 5.2664MPa

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

Variables

Functions

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Weight of Concrete

Weight of Concrete can be defined as the weight of cement and weight of fine aggregate.

Symbol: W

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Weight of Concrete

28 Day Compressive Strength of Concrete

28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28 Day Compressive Strength of Concrete

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 in Modulus of Elasticity category

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

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

Go Young's Modulus of Concrete

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

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 Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete?

Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete evaluator uses Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete) to evaluate the Young's Modulus, The Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete formula is defined as a solid material that will undergo elastic deformation when a small load is applied to it in compression or extension. Young's Modulus is denoted by E symbol.

How to evaluate Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete using this online evaluator? To use this online evaluator for Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete, enter Weight of Concrete (W) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button.

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

What is the formula to find Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete?

The formula of Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete is expressed as Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete). Here is an example- 5.3E-6 = (1000^1.5)*0.043*sqrt(15000000).

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

With Weight of Concrete (W) & 28 Day Compressive Strength of Concrete (f_c) we can find Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete using the formula - Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete). This formula also uses Square Root (sqrt) function(s).

Can the Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete be negative?

Yes, the Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete, measured in Stress can be negative.

Which unit is used to measure Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete?

Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete can be measured.

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