Effective Cover given Shortest Distance Calculator

✖Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.ⓘ Shortest Distance [acr]			+10% -10%
✖Diameter of Longitudinal Bar shall not have a cover less than 40 mm or the diameter of the bar whichever is more.ⓘ Diameter of Longitudinal Bar [D]			+10% -10%
✖Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.ⓘ Center-to-center Distance [z]			+10% -10%

✖Effective Cover is the distance from exposed surface of concrete to the centroid of main reinforcement.ⓘ Effective Cover given Shortest Distance [d']

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Formula

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Effective Cover given Shortest Distance

Formula

`"d'" = sqrt(("acr"+("D"/2))^2-("z"/2)^2)`

Example

`"275.1mm"=sqrt(("2.51cm"+("0.5m"/2))^2-("40A"/2)^2)`

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Effective Cover given Shortest Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2)
d' = sqrt((acr+(D/2))^2-(z/2)^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Effective Cover - (Measured in Meter) - Effective Cover is the distance from exposed surface of concrete to the centroid of main reinforcement.
Shortest Distance - (Measured in Meter) - Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.
Diameter of Longitudinal Bar - (Measured in Meter) - Diameter of Longitudinal Bar shall not have a cover less than 40 mm or the diameter of the bar whichever is more.
Center-to-center Distance - (Measured in Meter) - Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.

STEP 1: Convert Input(s) to Base Unit

Shortest Distance: 2.51 Centimeter --> 0.0251 Meter (Check conversion here)
Diameter of Longitudinal Bar: 0.5 Meter --> 0.5 Meter No Conversion Required
Center-to-center Distance: 40 Angstrom --> 4E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d' = sqrt((acr+(D/2))^2-(z/2)^2) --> sqrt((0.0251+(0.5/2))^2-(4E-09/2)^2)

Evaluating ... ...

d' = 0.2751

STEP 3: Convert Result to Output's Unit

0.2751 Meter -->275.1 Millimeter (Check conversion here)

FINAL ANSWER

275.1 Millimeter <-- Effective Cover

(Calculation completed in 00.018 seconds)

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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

Effective Cover given Shortest Distance Formula

Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2)
d' = sqrt((acr+(D/2))^2-(z/2)^2)

What does Shortest Distance mean?

The Shortest Distance from the Selected Level on the Surface to aLongitudinal Bar is the distance that is shortest of all the distances between two points lying.

What does Effective Cover mean?

The effective cover is the distance between the exposed concrete surface to the centroid of the main reinforcement. ( or) The effective cover is the distance between the outermost compression face of RCC to the center of the area of main reinforcement in tension. It is required for protecting the rebar against erosion and providing protection against fire. Clear cover is mainly the actual distance from the bottom of fiber to the bottom level of the reinforcement.

How to Calculate Effective Cover given Shortest Distance?

Effective Cover given Shortest Distance calculator uses Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2) to calculate the Effective Cover, The Effective Cover given Shortest Distance is defined as the distance measured from face of member to center of area ( centroid ) of reinforcement. Effective Cover is denoted by d' symbol.

How to calculate Effective Cover given Shortest Distance using this online calculator? To use this online calculator for Effective Cover given Shortest Distance, enter Shortest Distance (acr), Diameter of Longitudinal Bar (D) & Center-to-center Distance (z) and hit the calculate button. Here is how the Effective Cover given Shortest Distance calculation can be explained with given input values -> 275000 = sqrt((0.0251+(0.5/2))^2-(4E-09/2)^2).

FAQ

What is Effective Cover given Shortest Distance?

The Effective Cover given Shortest Distance is defined as the distance measured from face of member to center of area ( centroid ) of reinforcement and is represented as d' = sqrt((acr+(D/2))^2-(z/2)^2) or Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2). Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar, Diameter of Longitudinal Bar shall not have a cover less than 40 mm or the diameter of the bar whichever is more & Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.

How to calculate Effective Cover given Shortest Distance?

The Effective Cover given Shortest Distance is defined as the distance measured from face of member to center of area ( centroid ) of reinforcement is calculated using Effective Cover = sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Center-to-center Distance/2)^2). To calculate Effective Cover given Shortest Distance, you need Shortest Distance (acr), Diameter of Longitudinal Bar (D) & Center-to-center Distance (z). With our tool, you need to enter the respective value for Shortest Distance, Diameter of Longitudinal Bar & Center-to-center Distance 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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