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Depth of Neutral Axis given Crack Width 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 = h - (2 \cdot \frac{acr - C min}{3 \cdot acr \cdot ε} - 1)

x - Depth of Neutral Axis?h - Total Depth?acr - Shortest Distance?C_min - Minimum Clear Cover?ε - Strain?

Depth of Neutral Axis given Crack Width Example

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Here is how the Depth of Neutral Axis given Crack Width equation looks like with Values.

Here is how the Depth of Neutral Axis given Crack Width equation looks like with Units.

Here is how the Depth of Neutral Axis given Crack Width equation looks like.

3052.0765 = 20.1 - (2 \cdot \frac{2.51 - 9.48}{3 \cdot 2.51 \cdot 1.0001} - 1)

3052.0765mm = 20.1cm - (2 \cdot \frac{2.51cm - 9.48cm}{3 \cdot 2.51cm \cdot 1.0001} - 1)

3052.0765 = 20.1 - (2 \cdot \frac{2.51 - 9.48}{3 \cdot 2.51 \cdot 1.0001} - 1)

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Depth of Neutral Axis given Crack Width Solution

Follow our step by step solution on how to calculate Depth of Neutral Axis given Crack Width?

FIRST Step Consider the formula

x = h - (2 \cdot \frac{acr - C min}{3 \cdot acr \cdot ε} - 1)

Next Step Substitute values of Variables

∴

x = 20.1cm - (2 \cdot \frac{2.51cm - 9.48cm}{3 \cdot 2.51cm \cdot 1.0001} - 1)

Next Step Convert Units

∴

x = 0.201m - (2 \cdot \frac{0.0251m - 0.0948m}{3 \cdot 0.0251m \cdot 1.0001} - 1)

Next Step Prepare to Evaluate

∴

x = 0.201 - (2 \cdot \frac{0.0251 - 0.0948}{3 \cdot 0.0251 \cdot 1.0001} - 1)

Next Step Evaluate

∴

x = 3.05207651253467m

Next Step Convert to Output's Unit

∴

x = 3052.07651253467mm

LAST Step Rounding Answer

∴

x = 3052.0765mm

Depth of Neutral Axis given Crack Width 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

Total Depth

Total Depth is described as the total depth of the member.

Symbol: h

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Total Depth

Shortest Distance

Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.

Symbol: acr

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Shortest Distance

Minimum Clear Cover

Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.

Symbol: C_min

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Minimum Clear Cover

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

Other formulas in Calculation of Crack Width category

Go Crack Width on Surface of Section

W cr = \frac{3 \cdot acr \cdot ε m}{1 + (2 \cdot \frac{acr - C min}{h - x})}

Go Average Strain at Selected Level given Crack Width

ε m = \frac{W cr \cdot (1 + (2 \cdot \frac{acr - C min}{h - x}))}{3 \cdot acr}

Go Minimum Clear Cover given Crack Width

C min = acr - \frac{((\frac{3 \cdot acr \cdot ε m}{W cr}) - 1) \cdot (h - x)}{2}

Go Diameter of Longitudinal Bar given Shortest Distance

D = (\sqrt{{(\frac{z}{2})}^{2} + {d'}^{2}} - acr) \cdot 2

How to Evaluate Depth of Neutral Axis given Crack Width?

Depth of Neutral Axis given Crack Width evaluator uses Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1) to evaluate the Depth of Neutral Axis, The Depth of Neutral Axis given Crack Width is defined as location of axis in cross-section of a beam (a member resisting bending) or shaft along which there are no longitudinal stresses or strains. Depth of Neutral Axis is denoted by x symbol.

How to evaluate Depth of Neutral Axis given Crack Width using this online evaluator? To use this online evaluator for Depth of Neutral Axis given Crack Width, enter Total Depth (h), Shortest Distance (acr), Minimum Clear Cover (C_min) & Strain (ε) and hit the calculate button.

FAQs on Depth of Neutral Axis given Crack Width

What is the formula to find Depth of Neutral Axis given Crack Width?

The formula of Depth of Neutral Axis given Crack Width is expressed as Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1). Here is an example- 3.1E+6 = 0.201-(2*(0.0251-0.0948)/(3*0.0251*1.0001)-1).

How to calculate Depth of Neutral Axis given Crack Width?

With Total Depth (h), Shortest Distance (acr), Minimum Clear Cover (C_min) & Strain (ε) we can find Depth of Neutral Axis given Crack Width using the formula - Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1).

Can the Depth of Neutral Axis given Crack Width be negative?

No, the Depth of Neutral Axis given Crack Width, measured in Length cannot be negative.

Which unit is used to measure Depth of Neutral Axis given Crack Width?

Depth of Neutral Axis given Crack Width 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 Crack Width can be measured.

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Depth of Neutral Axis given Crack Width Formula

Depth of Neutral Axis given Crack Width Example

Depth of Neutral Axis given Crack Width Solution

Depth of Neutral Axis given Crack Width Formula Elements

Other formulas in Calculation of Crack Width category

How to Evaluate Depth of Neutral Axis given Crack Width?

FAQs on Depth of Neutral Axis given Crack Width

Variable Name