Crack Width on Surface of Section 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%
✖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%
✖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%

✖Crack Width describes the length of the crack in an element.ⓘ Crack Width on Surface of Section [W_cr]

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF PDF Image

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)))
W_cr = (3*acr*ε_m)/(1+(2*(acr-C_min)/(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

W_cr = (3*acr*ε_m)/(1+(2*(acr-C_min)/(h-x))) --> (3*25.1*0.0005)/(1+(2*(25.1-94.8)/(201-50)))

Evaluating ... ...

W_cr = 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 00.020 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)

Crack Width on Surface of Section Formula

LaTeX Go

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