Minimum Clear Cover given Crack Width Calculator

✖Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.ⓘ Shortest Distance [acr]			+10% -10%
✖Average Strain describes the response of a solid to the application of a normal force induced at the selected level.ⓘ Average Strain [ε_m]			+10% -10%
✖Crack Width describes the length of the crack in an element.ⓘ Crack Width [W_cr]			+10% -10%
✖Total Depth is described as the total depth of the member.ⓘ Total Depth [h]			+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 [x]			+10% -10%

✖Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.ⓘ Minimum Clear Cover given Crack Width [C_min]

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Formula

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Minimum Clear Cover given Crack Width

Formula

`"C"_{"min"} = "acr"-((((3*"acr"*"ε"_{"m"})/"W"_{"cr"})-1)*("h"-"x"))/2`

Example

`"9.479883cm"= "2.51cm"-((((3*"2.51cm"*"0.0005")/"0.49mm")-1)*("20.1cm"-"50mm"))/2`

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Minimum Clear Cover given Crack Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2
C_min = acr-((((3*acr*ε_m)/W_cr)-1)*(h-x))/2
This formula uses 6 Variables

Variables Used

Minimum Clear Cover - (Measured in Meter) - Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.
Shortest Distance - (Measured in Meter) - 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.
Crack Width - (Measured in Meter) - Crack Width describes the length of the crack in an element.
Total Depth - (Measured in Meter) - Total Depth is described as the total depth of the member.
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.

STEP 1: Convert Input(s) to Base Unit

Shortest Distance: 2.51 Centimeter --> 0.0251 Meter (Check conversion here)
Average Strain: 0.0005 --> No Conversion Required
Crack Width: 0.49 Millimeter --> 0.00049 Meter (Check conversion here)
Total Depth: 20.1 Centimeter --> 0.201 Meter (Check conversion here)
Depth of Neutral Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_min = acr-((((3*acr*ε_m)/W_cr)-1)*(h-x))/2 --> 0.0251-((((3*0.0251*0.0005)/0.00049)-1)*(0.201-0.05))/2

Evaluating ... ...

C_min = 0.0947988265306123

STEP 3: Convert Result to Output's Unit

0.0947988265306123 Meter -->9.47988265306122 Centimeter (Check conversion here)

FINAL ANSWER

9.47988265306122 ≈ 9.479883 Centimeter <-- Minimum Clear Cover

(Calculation completed in 00.004 seconds)

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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

Minimum Clear Cover given Crack Width Formula

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

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 Minimum Clear Cover given Crack Width?

Minimum Clear Cover given Crack Width calculator uses Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2 to calculate the Minimum Clear Cover, The Minimum Clear Cover given Crack Width is defined as the least distance from the surface to reinforcement, ensuring a specified crack width limit is maintained. Minimum Clear Cover is denoted by C_min symbol.

How to calculate Minimum Clear Cover given Crack Width using this online calculator? To use this online calculator for Minimum Clear Cover given Crack Width, enter Shortest Distance (acr), Average Strain (ε_m), Crack Width (W_cr), Total Depth (h) & Depth of Neutral Axis (x) and hit the calculate button. Here is how the Minimum Clear Cover given Crack Width calculation can be explained with given input values -> 947.2194 = 0.0251-((((3*0.0251*0.0005)/0.00049)-1)*(0.201-0.05))/2.

FAQ

What is Minimum Clear Cover given Crack Width?

The Minimum Clear Cover given Crack Width is defined as the least distance from the surface to reinforcement, ensuring a specified crack width limit is maintained and is represented as C_min = acr-((((3*acr*ε_m)/W_cr)-1)*(h-x))/2 or Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2. 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, Crack Width describes the length of the crack in an element, 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 Minimum Clear Cover given Crack Width?

The Minimum Clear Cover given Crack Width is defined as the least distance from the surface to reinforcement, ensuring a specified crack width limit is maintained is calculated using Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2. To calculate Minimum Clear Cover given Crack Width, you need Shortest Distance (acr), Average Strain (ε_m), Crack Width (W_cr), Total Depth (h) & Depth of Neutral Axis (x). With our tool, you need to enter the respective value for Shortest Distance, Average Strain, Crack Width, 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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