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Width of Section given Couple Force of Cross Section Formula

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

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

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

Width of Section given Couple Force of Cross Section Example

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

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

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

7.133 = \frac{0.028}{0.5 \cdot 0.157 \cdot 1.0001 \cdot 50}

7.133mm = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 1.0001 \cdot 50mm}

7.133 = \frac{0.028}{0.5 \cdot 0.157 \cdot 1.0001 \cdot 50}

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Width of Section given Couple Force of Cross Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W cr = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 1.0001 \cdot 50mm}

Next Step Convert Units

∴

W cr = \frac{28N}{0.5 \cdot 157000Pa \cdot 1.0001 \cdot 0.05m}

Next Step Prepare to Evaluate

∴

W cr = \frac{28}{0.5 \cdot 157000 \cdot 1.0001 \cdot 0.05}

Next Step Evaluate

∴

W cr = 0.00713304465731771m

Next Step Convert to Output's Unit

∴

W cr = 7.13304465731771mm

LAST Step Rounding Answer

∴

W cr = 7.133mm

Width of Section given Couple Force of Cross Section Formula Elements

Variables

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

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

Strain

Strain is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain

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

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 Width of Section given Couple Force of Cross Section?

Width of Section given Couple Force of Cross Section evaluator uses Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis) to evaluate the Crack Width, The Width of Section given Couple Force of Cross Section is defined as the measurement of length of the rectangular section. Crack Width is denoted by W_cr symbol.

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

FAQs on Width of Section given Couple Force of Cross Section

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

The formula of Width of Section given Couple Force of Cross Section is expressed as Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis). Here is an example- 5.1E+6 = 28/(0.5*157000*1.0001*0.05).

How to calculate Width of Section given Couple Force of Cross Section?

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

Can the Width of Section given Couple Force of Cross Section be negative?

No, the Width of Section given Couple Force of Cross Section, measured in Length cannot be negative.

Which unit is used to measure Width of Section given Couple Force of Cross Section?

Width of Section given Couple Force of Cross Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Section given Couple Force of Cross Section can be measured.

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Width of Section given Couple Force of Cross Section Formula

Width of Section given Couple Force of Cross Section Example

Width of Section given Couple Force of Cross Section Solution

Width of Section given Couple Force of Cross Section Formula Elements

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

How to Evaluate Width of Section given Couple Force of Cross Section?

FAQs on Width of Section given Couple Force of Cross Section

Variable Name