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Depth of Neutral Axis given Couple Force of Cross Section Formula

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

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

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

Depth of Neutral Axis given Couple Force of Cross Section Example

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

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

Here is how the Depth of Neutral Axis given Couple Force of Cross Section equation looks like.

430.7305 = \frac{0.028}{0.5 \cdot 0.157 \cdot 1.69 \cdot 0.49}

430.7305mm = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 1.69 \cdot 0.49mm}

430.7305 = \frac{0.028}{0.5 \cdot 0.157 \cdot 1.69 \cdot 0.49}

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Depth of Neutral Axis given Couple Force of Cross Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x = \frac{0.028kN}{0.5 \cdot 0.157MPa \cdot 1.69 \cdot 0.49mm}

Next Step Convert Units

∴

x = \frac{28N}{0.5 \cdot 157000Pa \cdot 1.69 \cdot 0.0005m}

Next Step Prepare to Evaluate

∴

x = \frac{28}{0.5 \cdot 157000 \cdot 1.69 \cdot 0.0005}

Next Step Evaluate

∴

x = 0.430730465027378m

Next Step Convert to Output's Unit

∴

x = 430.730465027378mm

LAST Step Rounding Answer

∴

x = 430.7305mm

Depth of Neutral Axis given Couple Force of Cross Section Formula Elements

Variables

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

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 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

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 Depth of Neutral Axis given Couple Force of Cross Section?

Depth of Neutral Axis given Couple Force of Cross Section evaluator uses Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width) to evaluate the Depth of Neutral Axis, The Depth of Neutral Axis given Couple Force of Cross Section is defined as the axis through beam where stress is zero, that is there is neither compression nor tension. Depth of Neutral Axis is denoted by x symbol.

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

FAQs on Depth of Neutral Axis given Couple Force of Cross Section

What is the formula to find Depth of Neutral Axis given Couple Force of Cross Section?

The formula of Depth of Neutral Axis given Couple Force of Cross Section is expressed as Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width). Here is an example- 3.1E+8 = 28/(0.5*157000*1.69*0.00049).

How to calculate Depth of Neutral Axis given Couple Force of Cross Section?

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

Can the Depth of Neutral Axis given Couple Force of Cross Section be negative?

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

Which unit is used to measure Depth of Neutral Axis given Couple Force of Cross Section?

Depth of Neutral Axis 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 Depth of Neutral Axis given Couple Force of Cross Section can be measured.

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Depth of Neutral Axis given Couple Force of Cross Section Formula

Depth of Neutral Axis given Couple Force of Cross Section Example

Depth of Neutral Axis given Couple Force of Cross Section Solution

Depth of Neutral Axis given Couple Force of Cross Section Formula Elements

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

How to Evaluate Depth of Neutral Axis given Couple Force of Cross Section?

FAQs on Depth of Neutral Axis given Couple Force of Cross Section

Variable Name