Average Strain at Selected Level given Crack Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance)
εm = (Wcr*(1+(2*(acr-Cmin)/(h-x))))/(3*acr)
This formula uses 6 Variables
Variables Used
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.
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.
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
Crack Width: 0.49 Millimeter --> 0.00049 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)
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
εm = (Wcr*(1+(2*(acr-Cmin)/(h-x))))/(3*acr) --> (0.00049*(1+(2*(0.0251-0.0948)/(0.201-0.05))))/(3*0.0251)
Evaluating ... ...
εm = 0.000499898859308902
STEP 3: Convert Result to Output's Unit
0.000499898859308902 --> No Conversion Required
FINAL ANSWER
0.000499898859308902 0.0005 <-- Average Strain
(Calculation completed in 00.004 seconds)

Credits

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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

Average Strain at Selected Level given Crack Width Formula

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

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 Average Strain at Selected Level given Crack Width?

Average Strain at Selected Level given Crack Width calculator uses Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance) to calculate the Average Strain, The Average Strain at Selected Level given Crack Width is defined as the average strain at a specified depth resulting from crack width in a material or structure, typically used in civil engineering. Average Strain is denoted by εm symbol.

How to calculate Average Strain at Selected Level given Crack Width using this online calculator? To use this online calculator for Average Strain at Selected Level given Crack Width, enter Crack Width (Wcr), Shortest Distance (acr), Minimum Clear Cover (Cmin), Total Depth (h) & Depth of Neutral Axis (x) and hit the calculate button. Here is how the Average Strain at Selected Level given Crack Width calculation can be explained with given input values -> 0.000493 = (0.00049*(1+(2*(0.0251-0.0948)/(0.201-0.05))))/(3*0.0251).

FAQ

What is Average Strain at Selected Level given Crack Width?
The Average Strain at Selected Level given Crack Width is defined as the average strain at a specified depth resulting from crack width in a material or structure, typically used in civil engineering and is represented as εm = (Wcr*(1+(2*(acr-Cmin)/(h-x))))/(3*acr) or Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance). Crack Width describes the length of the crack in an element, 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, 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 Average Strain at Selected Level given Crack Width?
The Average Strain at Selected Level given Crack Width is defined as the average strain at a specified depth resulting from crack width in a material or structure, typically used in civil engineering is calculated using Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance). To calculate Average Strain at Selected Level given Crack Width, you need Crack Width (Wcr), Shortest Distance (acr), Minimum Clear Cover (Cmin), Total Depth (h) & Depth of Neutral Axis (x). With our tool, you need to enter the respective value for Crack Width, Shortest Distance, 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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