Average Strain at Selected Level given Crack Width Calculator

✖Crack Width describes the length of the crack in an element.ⓘ Crack Width [W_cr]			+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%
✖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%

✖Average Strain describes the response of a solid to the application of a normal force induced at the selected level.ⓘ Average Strain at Selected Level given Crack Width [ε_m]

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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)
ε_m = (W_cr*(1+(2*(acr-C_min)/(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

ε_m = (W_cr*(1+(2*(acr-C_min)/(h-x))))/(3*acr) --> (0.00049*(1+(2*(0.0251-0.0948)/(0.201-0.05))))/(3*0.0251)

Evaluating ... ...

ε_m = 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)

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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)

Average Strain at Selected Level given Crack Width Formula

LaTeX Go

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