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Crack Width on Surface of Section Formula

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

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

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

Crack Width on Surface of Section Example

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Here is how the Crack Width on Surface of Section equation looks like with Values.

Here is how the Crack Width on Surface of Section equation looks like with Units.

Here is how the Crack Width on Surface of Section equation looks like.

0.4901 = \frac{3 \cdot 2.51 \cdot 0.0005}{1 + (2 \cdot \frac{2.51 - 9.48}{20.1 - 50})}

0.4901mm = \frac{3 \cdot 2.51cm \cdot 0.0005}{1 + (2 \cdot \frac{2.51cm - 9.48cm}{20.1cm - 50mm})}

0.4901 = \frac{3 \cdot 2.51 \cdot 0.0005}{1 + (2 \cdot \frac{2.51 - 9.48}{20.1 - 50})}

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Crack Width on Surface of Section Solution

Follow our step by step solution on how to calculate Crack Width on Surface of Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

W cr = \frac{3 \cdot 25.1mm \cdot 0.0005}{1 + (2 \cdot \frac{25.1mm - 94.8mm}{201mm - 50mm})}

Next Step Prepare to Evaluate

∴

W cr = \frac{3 \cdot 25.1 \cdot 0.0005}{1 + (2 \cdot \frac{25.1 - 94.8}{201 - 50})}

Next Step Evaluate

∴

W cr = 0.000490099137931033m

Next Step Convert to Output's Unit

∴

W cr = 0.490099137931033mm

LAST Step Rounding Answer

∴

W cr = 0.4901mm

Crack Width on Surface of Section Formula Elements

Variables

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

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

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

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

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

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

Other formulas in Calculation of Crack Width category

Go Average Strain at Selected Level given Crack Width

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

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

How to Evaluate Crack Width on Surface of Section?

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

FAQs on Crack Width on Surface of Section

What is the formula to find Crack Width on Surface of Section?

The formula of Crack Width on Surface of Section is expressed as Crack Width = (3*Shortest Distance*Average Strain)/(1+(2*(Shortest Distance-Minimum Clear Cover)/(Total Depth-Depth of Neutral Axis))). Here is an example- 496.7105 = (3*0.0251*0.0005)/(1+(2*(0.0251-0.0948)/(0.201-0.05))).

How to calculate Crack Width on Surface of Section?

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

Can the Crack Width on Surface of Section be negative?

No, the Crack Width on Surface of Section, measured in Length cannot be negative.

Which unit is used to measure Crack Width on Surface of Section?

Crack Width on Surface of Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Crack Width on Surface of Section can be measured.

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Crack Width on Surface of Section Formula

Crack Width on Surface of Section Example

Crack Width on Surface of Section Solution

Crack Width on Surface of Section Formula Elements

Other formulas in Calculation of Crack Width category

How to Evaluate Crack Width on Surface of Section?

FAQs on Crack Width on Surface of Section

Variable Name