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Modulus of Elasticity of Concrete given Couple Force of Cross-Section 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 = \frac{C}{0.5 \cdot ε c \cdot x \cdot W cr}

E_c - Modulus of Elasticity of Concrete?C - Couple Force?ε_c - Strain in Concrete?x - Depth of Neutral Axis?W_cr - Crack Width?

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Example

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Here is how the Modulus of Elasticity of Concrete given Couple Force of Cross-Section equation looks like with Values.

Here is how the Modulus of Elasticity of Concrete given Couple Force of Cross-Section equation looks like with Units.

Here is how the Modulus of Elasticity of Concrete given Couple Force of Cross-Section equation looks like.

1.3525 = \frac{0.028}{0.5 \cdot 1.69 \cdot 50 \cdot 0.49}

1.3525MPa = \frac{0.028kN}{0.5 \cdot 1.69 \cdot 50mm \cdot 0.49mm}

1.3525 = \frac{0.028}{0.5 \cdot 1.69 \cdot 50 \cdot 0.49}

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Modulus of Elasticity of Concrete given Couple Force of Cross-Section Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

FIRST Step Consider the formula

E c = \frac{C}{0.5 \cdot ε c \cdot x \cdot W cr}

Next Step Substitute values of Variables

∴

E c = \frac{0.028kN}{0.5 \cdot 1.69 \cdot 50mm \cdot 0.49mm}

Next Step Convert Units

∴

E c = \frac{28N}{0.5 \cdot 1.69 \cdot 0.05m \cdot 0.0005m}

Next Step Prepare to Evaluate

∴

E c = \frac{28}{0.5 \cdot 1.69 \cdot 0.05 \cdot 0.0005}

Next Step Evaluate

∴

E c = 1352493.66018597Pa

Next Step Convert to Output's Unit

∴

E c = 1.35249366018597MPa

LAST Step Rounding Answer

∴

E c = 1.3525MPa

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Formula Elements

Variables

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 should be greater than 0.

Formulas to find Modulus of Elasticity of Concrete

Couple Force

Couple Force is a system of forces with a resultant moment but no resultant force.

Symbol: C

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Couple Force

Strain in Concrete

Strain in Concrete is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.

Symbol: ε_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain in Concrete

Depth of Neutral Axis

Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Neutral Axis

Crack Width

Crack Width describes the length of the crack in an element.

Symbol: W_cr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crack Width

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

Go Average Strain under Tension

ε m = ε 1 - \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Strain at Selected Level given Average Strain under Tension

ε 1 = ε m + \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Height of Crack Width at Soffit given Average Strain

h Crack = (\frac{(ε 1 - ε m) \cdot (3 \cdot E s \cdot A s \cdot (d - x))}{W cr \cdot (D CC - x)}) + x

Go Couple Force of Cross Section

C = 0.5 \cdot E c \cdot ε c \cdot x \cdot W cr

How to Evaluate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

Modulus of Elasticity of Concrete given Couple Force of Cross-Section evaluator uses Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width) to evaluate the Modulus of Elasticity of Concrete, The Modulus of Elasticity of Concrete given Couple Force of Cross-Section is defined as the ratio of applied stress to corresponding strain. Modulus of Elasticity of Concrete is denoted by E_c symbol.

How to evaluate Modulus of Elasticity of Concrete given Couple Force of Cross-Section using this online evaluator? To use this online evaluator for Modulus of Elasticity of Concrete given Couple Force of Cross-Section, enter Couple Force (C), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) and hit the calculate button.

FAQs on Modulus of Elasticity of Concrete given Couple Force of Cross-Section

What is the formula to find Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

The formula of Modulus of Elasticity of Concrete given Couple Force of Cross-Section is expressed as Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width). Here is an example- 0.000966 = 28/(0.5*1.69*0.05*0.00049).

How to calculate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

With Couple Force (C), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) we can find Modulus of Elasticity of Concrete given Couple Force of Cross-Section using the formula - Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width).

Can the Modulus of Elasticity of Concrete given Couple Force of Cross-Section be negative?

No, the Modulus of Elasticity of Concrete given Couple Force of Cross-Section, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

Modulus of Elasticity of Concrete given Couple Force of Cross-Section is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Elasticity of Concrete given Couple Force of Cross-Section can be measured.

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Modulus of Elasticity of Concrete given Couple Force of Cross-Section Formula

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Example

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Solution

Modulus of Elasticity of Concrete given Couple Force of Cross-Section Formula Elements

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

How to Evaluate Modulus of Elasticity of Concrete given Couple Force of Cross-Section?

FAQs on Modulus of Elasticity of Concrete given Couple Force of Cross-Section

Variable Name