Crack Width on Surface of Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis)))
Wcr = (3*acr*εm)/(1+(2*(acr-Cmin)/(h-x)))
This formula uses 6 Variables
Variables Used
Crack Width - (Measured in Millimeter) - Crack Width describes the length of the crack in an element.
Shortest Distance - (Measured in Millimeter) - Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.
Average Strain - Average Strain describes the response of a solid to the application of a normal force induced at the selected level.
Minimum Clear Cover - (Measured in Millimeter) - Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.
Total Depth - (Measured in Millimeter) - Total Depth is described as the total depth of the member.
Depth of Neutral Axis - (Measured in Millimeter) - Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.
STEP 1: Convert Input(s) to Base Unit
Shortest Distance: 2.51 Centimeter --> 25.1 Millimeter (Check conversion here)
Average Strain: 0.0005 --> No Conversion Required
Minimum Clear Cover: 9.48 Centimeter --> 94.8 Millimeter (Check conversion here)
Total Depth: 20.1 Centimeter --> 201 Millimeter (Check conversion here)
Depth of Neutral Axis: 50 Millimeter --> 50 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wcr = (3*acr*εm)/(1+(2*(acr-Cmin)/(h-x))) --> (3*25.1*0.0005)/(1+(2*(25.1-94.8)/(201-50)))
Evaluating ... ...
Wcr = 0.490099137931033
STEP 3: Convert Result to Output's Unit
0.000490099137931033 Meter -->0.490099137931033 Millimeter (Check conversion here)
FINAL ANSWER
0.490099137931033 0.490099 Millimeter <-- Crack Width
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal
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7 Calculation of Crack Width Calculators

Average Strain at Selected Level given Crack Width
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
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
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
Go Depth of Neutral Axis = Total Depth-(2*(Shortest Distance-Minimum Clear Cover)/(3*Shortest Distance*Strain)-1)
Effective Cover given Shortest Distance
Go Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2)
Center to Center Spacing given Shortest Distance
Go Center to Center Spacing = 2*sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Effective Cover^2))
Diameter of Longitudinal Bar given Shortest Distance
Go Diameter of Longitudinal Bar = (sqrt((Center-to-center Distance/2)^2+Effective Cover^2)-Shortest Distance)*2

Crack Width on Surface of Section Formula

Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis)))
Wcr = (3*acr*εm)/(1+(2*(acr-Cmin)/(h-x)))

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 Crack Width on Surface of Section?

Crack Width on Surface of Section calculator uses Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))) to calculate the Crack Width, The Crack Width on Surface of Section is defined as the multiplying maximum crack spacing by mean strain of flexural steel reinforcement. Crack Width is denoted by Wcr symbol.

How to calculate Crack Width on Surface of Section using this online calculator? To use this online calculator for Crack Width on Surface of Section, enter Shortest Distance (acr), Average Strain m), Minimum Clear Cover (Cmin), Total Depth (h) & Depth of Neutral Axis (x) and hit the calculate button. Here is how the Crack Width on Surface of Section calculation can be explained with given input values -> 496.7105 = (3*0.0251*0.0005)/(1+(2*(0.0251-0.0948)/(0.201-0.05))).

FAQ

What is Crack Width on Surface of Section?
The Crack Width on Surface of Section is defined as the multiplying maximum crack spacing by mean strain of flexural steel reinforcement and is represented as Wcr = (3*acr*εm)/(1+(2*(acr-Cmin)/(h-x))) or Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))). Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar, Average Strain describes the response of a solid to the application of a normal force induced at the selected level, Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement, Total Depth is described as the total depth of the member & Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.
How to calculate Crack Width on Surface of Section?
The Crack Width on Surface of Section is defined as the multiplying maximum crack spacing by mean strain of flexural steel reinforcement is calculated using Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))). To calculate Crack Width on Surface of Section, you need Shortest Distance (acr), Average Strain m), Minimum Clear Cover (Cmin), Total Depth (h) & Depth of Neutral Axis (x). With our tool, you need to enter the respective value for Shortest Distance, Average Strain, Minimum Clear Cover, Total Depth & Depth of Neutral Axis 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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