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Minimum Clear Cover given Crack Width Formula

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

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

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

Minimum Clear Cover given Crack Width Example

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Here is how the Minimum Clear Cover given Crack Width equation looks like with Values.

Here is how the Minimum Clear Cover given Crack Width equation looks like with Units.

Here is how the Minimum Clear Cover given Crack Width equation looks like.

9.4799 = 2.51 - \frac{((\frac{3 \cdot 2.51 \cdot 0.0005}{0.49}) - 1) \cdot (20.1 - 50)}{2}

9.4799cm = 2.51cm - \frac{((\frac{3 \cdot 2.51cm \cdot 0.0005}{0.49mm}) - 1) \cdot (20.1cm - 50mm)}{2}

9.4799 = 2.51 - \frac{((\frac{3 \cdot 2.51 \cdot 0.0005}{0.49}) - 1) \cdot (20.1 - 50)}{2}

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Minimum Clear Cover given Crack Width Solution

Follow our step by step solution on how to calculate Minimum Clear Cover given Crack Width?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

C min = 0.0251m - \frac{((\frac{3 \cdot 0.0251m \cdot 0.0005}{0.0005m}) - 1) \cdot (0.201m - 0.05m)}{2}

Next Step Prepare to Evaluate

∴

C min = 0.0251 - \frac{((\frac{3 \cdot 0.0251 \cdot 0.0005}{0.0005}) - 1) \cdot (0.201 - 0.05)}{2}

Next Step Evaluate

∴

C min = 0.0947988265306123m

Next Step Convert to Output's Unit

∴

C min = 9.47988265306122cm

LAST Step Rounding Answer

∴

C min = 9.4799cm

Minimum Clear Cover given Crack Width Formula Elements

Variables

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

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

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

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 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 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 Diameter of Longitudinal Bar given Shortest Distance

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

How to Evaluate Minimum Clear Cover given Crack Width?

Minimum Clear Cover given Crack Width evaluator uses Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2 to evaluate the Minimum Clear Cover, The Minimum Clear Cover given Crack Width is defined as the least distance from the surface to reinforcement, ensuring a specified crack width limit is maintained. Minimum Clear Cover is denoted by C_min symbol.

How to evaluate Minimum Clear Cover given Crack Width using this online evaluator? To use this online evaluator for Minimum Clear Cover given Crack Width, enter Shortest Distance (acr), Average Strain (ε_m), Crack Width (W_cr), Total Depth (h) & Depth of Neutral Axis (x) and hit the calculate button.

FAQs on Minimum Clear Cover given Crack Width

What is the formula to find Minimum Clear Cover given Crack Width?

The formula of Minimum Clear Cover given Crack Width is expressed as Minimum Clear Cover = Shortest Distance-((((3*Shortest Distance*Average Strain)/Crack Width)-1)*(Total Depth-Depth of Neutral Axis))/2. Here is an example- 947.2194 = 0.0251-((((3*0.0251*0.0005)/0.00049)-1)*(0.201-0.05))/2.

How to calculate Minimum Clear Cover given Crack Width?

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

Can the Minimum Clear Cover given Crack Width be negative?

No, the Minimum Clear Cover given Crack Width, measured in Length cannot be negative.

Which unit is used to measure Minimum Clear Cover given Crack Width?

Minimum Clear Cover given Crack Width is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Minimum Clear Cover given Crack Width can be measured.

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Minimum Clear Cover given Crack Width Formula

Minimum Clear Cover given Crack Width Example

Minimum Clear Cover given Crack Width Solution

Minimum Clear Cover given Crack Width Formula Elements

Other formulas in Calculation of Crack Width category

How to Evaluate Minimum Clear Cover given Crack Width?

FAQs on Minimum Clear Cover given Crack Width

Variable Name