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Average Strain at Selected Level given Crack Width Formula

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Average Strain describes the response of a solid to the application of a normal force induced at the selected level. Check FAQs

ε m = \frac{W cr \cdot (1 + (2 \cdot \frac{acr - C min}{h - x}))}{3 \cdot acr}

ε_m - Average Strain?W_cr - Crack Width?acr - Shortest Distance?C_min - Minimum Clear Cover?h - Total Depth?x - Depth of Neutral Axis?

Average Strain at Selected Level given Crack Width Example

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Here is how the Average Strain at Selected Level given Crack Width equation looks like with Values.

Here is how the Average Strain at Selected Level given Crack Width equation looks like with Units.

Here is how the Average Strain at Selected Level given Crack Width equation looks like.

0.0005 = \frac{0.49 \cdot (1 + (2 \cdot \frac{2.51 - 9.48}{20.1 - 50}))}{3 \cdot 2.51}

0.0005 = \frac{0.49mm \cdot (1 + (2 \cdot \frac{2.51cm - 9.48cm}{20.1cm - 50mm}))}{3 \cdot 2.51cm}

0.0005 = \frac{0.49 \cdot (1 + (2 \cdot \frac{2.51 - 9.48}{20.1 - 50}))}{3 \cdot 2.51}

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Average Strain at Selected Level given Crack Width Solution

Follow our step by step solution on how to calculate Average Strain at Selected Level given Crack Width?

FIRST Step Consider the formula

ε m = \frac{W cr \cdot (1 + (2 \cdot \frac{acr - C min}{h - x}))}{3 \cdot acr}

Next Step Substitute values of Variables

∴

ε m = \frac{0.49mm \cdot (1 + (2 \cdot \frac{2.51cm - 9.48cm}{20.1cm - 50mm}))}{3 \cdot 2.51cm}

Next Step Convert Units

∴

ε m = \frac{0.0005m \cdot (1 + (2 \cdot \frac{0.0251m - 0.0948m}{0.201m - 0.05m}))}{3 \cdot 0.0251m}

Next Step Prepare to Evaluate

∴

ε m = \frac{0.0005 \cdot (1 + (2 \cdot \frac{0.0251 - 0.0948}{0.201 - 0.05}))}{3 \cdot 0.0251}

Next Step Evaluate

∴

ε m = 0.000499898859308902

LAST Step Rounding Answer

∴

ε m = 0.0005

Average Strain at Selected Level given Crack Width Formula Elements

Variables

Average Strain

Average Strain describes the response of a solid to the application of a normal force induced at the selected level.

Symbol: ε_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Average Strain

Open Variable

Crack Width

Crack Width describes the length of the crack in an element.

Symbol: W_cr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crack Width

Open Variable

Shortest Distance

Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.

Symbol: acr

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Shortest Distance

Open Variable

Minimum Clear Cover

Minimum Clear Cover is described as the distance from exposed concrete surface to the outer surface of reinforcement.

Symbol: C_min

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Minimum Clear Cover

Open Variable

Total Depth

Total Depth is described as the total depth of the member.

Symbol: h

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Total Depth

Open Variable

Depth of Neutral Axis

Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Neutral Axis

Open Variable

Other formulas in Calculation of Crack Width category

Go Crack Width on Surface of Section

W cr = \frac{3 \cdot acr \cdot ε m}{1 + (2 \cdot \frac{acr - C min}{h - x})}

Go Depth of Neutral Axis given Crack Width

x = h - (2 \cdot \frac{acr - C min}{3 \cdot acr \cdot ε} - 1)

Go Minimum Clear Cover given Crack Width

C min = acr - \frac{((\frac{3 \cdot acr \cdot ε m}{W cr}) - 1) \cdot (h - x)}{2}

Go Diameter of Longitudinal Bar given Shortest Distance

D = (\sqrt{{(\frac{z}{2})}^{2} + {d'}^{2}} - acr) \cdot 2

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How to Evaluate Average Strain at Selected Level given Crack Width?

Average Strain at Selected Level given Crack Width evaluator uses Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance) to evaluate 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 evaluate Average Strain at Selected Level given Crack Width using this online evaluator? To use this online evaluator 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.

FAQs on Average Strain at Selected Level given Crack Width

What is the formula to find Average Strain at Selected Level given Crack Width?

The formula of Average Strain at Selected Level given Crack Width is expressed as Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance). Here is an example- 0.000493 = (0.00049*(1+(2*(0.0251-0.0948)/(0.201-0.05))))/(3*0.0251).

How to calculate Average Strain at Selected Level given Crack Width?

With Crack Width (W_cr), Shortest Distance (acr), Minimum Clear Cover (C_min), Total Depth (h) & Depth of Neutral Axis (x) we can find Average Strain at Selected Level given Crack Width using the formula - Average Strain = (Crack Width*(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))))/(3*Shortest Distance).

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