Depth of Neutral Axis given Crack Width Calculator

✖Total Depth is described as the total depth of the member.ⓘ Total Depth [h]			+10% -10%
✖Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.ⓘ Shortest Distance [acr]			+10% -10%
✖Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.ⓘ Minimum Clear Cover [C_min]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.ⓘ Depth of Neutral Axis given Crack Width [x]

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Depth of Neutral Axis given Crack Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1)
x = h-(2*(acr-C_min)/(3*acr*ε)-1)
This formula uses 5 Variables

Variables Used

Depth of Neutral Axis - (Measured in Meter) - Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.
Total Depth - (Measured in Meter) - Total Depth is described as the total depth of the member.
Shortest Distance - (Measured in Meter) - Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.
Minimum Clear Cover - (Measured in Meter) - Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.
Strain - Strain is simply the measure of how much an object is stretched or deformed.

STEP 1: Convert Input(s) to Base Unit

Total Depth: 20.1 Centimeter --> 0.201 Meter (Check conversion here)
Shortest Distance: 2.51 Centimeter --> 0.0251 Meter (Check conversion here)
Minimum Clear Cover: 9.48 Centimeter --> 0.0948 Meter (Check conversion here)
Strain: 1.0001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = h-(2*(acr-C_min)/(3*acr*ε)-1) --> 0.201-(2*(0.0251-0.0948)/(3*0.0251*1.0001)-1)

Evaluating ... ...

x = 3.05207651253467

STEP 3: Convert Result to Output's Unit

3.05207651253467 Meter -->3052.07651253467 Millimeter (Check conversion here)

FINAL ANSWER

3052.07651253467 ≈ 3052.077 Millimeter <-- Depth of Neutral Axis

(Calculation completed in 00.020 seconds)

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< Calculation of Crack Width Calculators

Average Strain at Selected Level given Crack Width

LaTeX Go Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance)

Minimum Clear Cover given Crack Width

LaTeX Go Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2

Crack Width on Surface of Section

LaTeX Go Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis)))

Depth of Neutral Axis given Crack Width

LaTeX Go Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1)

Depth of Neutral Axis given Crack Width Formula

LaTeX Go

Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1)
x = h-(2*(acr-C_min)/(3*acr*ε)-1)

What does Shortest Distance mean?

Shortest distance is defined as the distance from the selected level of the surface to the longitudinal bar of the section.

How to Calculate Depth of Neutral Axis given Crack Width?

Depth of Neutral Axis given Crack Width calculator uses Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1) to calculate 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 calculate Depth of Neutral Axis given Crack Width using this online calculator? To use this online calculator 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. Here is how the Depth of Neutral Axis given Crack Width calculation can be explained with given input values -> 3.1E+6 = 0.201-(2*(0.0251-0.0948)/(3*0.0251*1.0001)-1).

FAQ

What is Depth of Neutral Axis given Crack Width?

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 and is represented as x = h-(2*(acr-C_min)/(3*acr*ε)-1) or Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1). Total Depth is described as the total depth of the member, Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar, Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement & Strain is simply the measure of how much an object is stretched or deformed.

How to calculate Depth of Neutral Axis given Crack Width?

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 is calculated using Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1). To calculate Depth of Neutral Axis given Crack Width, you need Total Depth (h), Shortest Distance (acr), Minimum Clear Cover (C_min) & Strain (ε). With our tool, you need to enter the respective value for Total Depth, Shortest Distance, Minimum Clear Cover & Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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