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Strain given Couple Force of Cross Section Formula

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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. Check FAQs

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

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

Strain given Couple Force of Cross Section Example

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Here is how the Strain given Couple Force of Cross Section equation looks like with Values.

Here is how the Strain given Couple Force of Cross Section equation looks like with Units.

Here is how the Strain given Couple Force of Cross Section equation looks like.

14.5587 = \frac{0.028}{0.5 \cdot 0.157 \cdot 50 \cdot 0.49}

14.5587 = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 50mm \cdot 0.49mm}

14.5587 = \frac{0.028}{0.5 \cdot 0.157 \cdot 50 \cdot 0.49}

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Strain given Couple Force of Cross Section Solution

Follow our step by step solution on how to calculate Strain given Couple Force of Cross Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε c = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 50mm \cdot 0.49mm}

Next Step Convert Units

∴

ε c = \frac{28N}{0.5 \cdot 157000Pa \cdot 0.05m \cdot 0.0005m}

Next Step Prepare to Evaluate

∴

ε c = \frac{28}{0.5 \cdot 157000 \cdot 0.05 \cdot 0.0005}

Next Step Evaluate

∴

ε c = 14.5586897179254

LAST Step Rounding Answer

∴

ε c = 14.5587

Strain given Couple Force of Cross Section Formula Elements

Variables

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

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

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

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 Strain given Couple Force of Cross Section?

Strain given Couple Force of Cross Section evaluator uses Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width) to evaluate the Strain in Concrete, The Strain given Couple Force of Cross Section is defined as the amount of deformation experienced by body in direction of force. Strain in Concrete is denoted by ε_c symbol.

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

FAQs on Strain given Couple Force of Cross Section

What is the formula to find Strain given Couple Force of Cross Section?

The formula of Strain given Couple Force of Cross Section is expressed as Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width). Here is an example- 10399.06 = 28/(0.5*157000*0.05*0.00049).

How to calculate Strain given Couple Force of Cross Section?

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

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Strain given Couple Force of Cross Section Formula

Strain given Couple Force of Cross Section Example

Strain given Couple Force of Cross Section Solution

Strain given Couple Force of Cross Section Formula Elements

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

How to Evaluate Strain given Couple Force of Cross Section?

FAQs on Strain given Couple Force of Cross Section

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