Diameter of Longitudinal Bar given Shortest Distance Calculator

✖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 [d']			+10% -10%
✖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 given Shortest Distance [D]

⎘ Copy

👎

Formula

✖

Diameter of Longitudinal Bar given Shortest Distance

Formula

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

Example

`"0.04982m"=(sqrt(("40A"/2)^2+("50.01mm")^2)-"2.51cm")*2`

Calculator

LaTeX

Reset

👍

Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Diameter of Longitudinal Bar given Shortest Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Center-to-center Distance: 40 Angstrom --> 4E-09 Meter (Check conversion here)
Effective Cover: 50.01 Millimeter --> 0.05001 Meter (Check conversion here)
Shortest Distance: 2.51 Centimeter --> 0.0251 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (sqrt((z/2)^2+d'^2)-acr)*2 --> (sqrt((4E-09/2)^2+0.05001^2)-0.0251)*2

Evaluating ... ...

D = 0.0498200000000001

STEP 3: Convert Result to Output's Unit

0.0498200000000001 Meter --> No Conversion Required

FINAL ANSWER

0.0498200000000001 ≈ 0.04982 Meter <-- Diameter of Longitudinal Bar

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Crack Width and Deflection of Prestress Concrete Members » Calculation of Crack Width » Diameter of Longitudinal Bar given Shortest Distance

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Diameter of Longitudinal Bar given Shortest Distance Formula

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

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.

What is Centre to Centre Spacing?

Centre-to-centre distance (c.t.c. distance or ctc distance) is a concept for distances, also called on-center spacing (o.c. spacing or oc spacing), heart distance, and pitch. It is the distance between the centre (the heart) of a column and the centre (the heart) of another column.

How to Calculate Diameter of Longitudinal Bar given Shortest Distance?

Diameter of Longitudinal Bar given Shortest Distance calculator uses Diameter of Longitudinal Bar = (sqrt((Center-to-center Distance/2)^2+Effective Cover^2)-Shortest Distance)*2 to calculate the Diameter of Longitudinal Bar, The Diameter of Longitudinal Bar given Shortest Distance is defined as the distance from one point on bar through center to another point on bar. Diameter of Longitudinal Bar is denoted by D symbol.

How to calculate Diameter of Longitudinal Bar given Shortest Distance using this online calculator? To use this online calculator for Diameter of Longitudinal Bar given Shortest Distance, enter Center-to-center Distance (z), Effective Cover (d') & Shortest Distance (acr) and hit the calculate button. Here is how the Diameter of Longitudinal Bar given Shortest Distance calculation can be explained with given input values -> 0.05002 = (sqrt((4E-09/2)^2+0.05001^2)-0.0251)*2.

FAQ

What is Diameter of Longitudinal Bar given Shortest Distance?

The Diameter of Longitudinal Bar given Shortest Distance is defined as the distance from one point on bar through center to another point on bar and is represented as D = (sqrt((z/2)^2+d'^2)-acr)*2 or Diameter of Longitudinal Bar = (sqrt((Center-to-center Distance/2)^2+Effective Cover^2)-Shortest Distance)*2. Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r, Effective Cover is the distance from exposed surface of concrete to the centroid of main reinforcement & Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.

How to calculate Diameter of Longitudinal Bar given Shortest Distance?

The Diameter of Longitudinal Bar given Shortest Distance is defined as the distance from one point on bar through center to another point on bar is calculated using Diameter of Longitudinal Bar = (sqrt((Center-to-center Distance/2)^2+Effective Cover^2)-Shortest Distance)*2. To calculate Diameter of Longitudinal Bar given Shortest Distance, you need Center-to-center Distance (z), Effective Cover (d') & Shortest Distance (acr). With our tool, you need to enter the respective value for Center-to-center Distance, Effective Cover & Shortest Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search