Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

Smaller Circles within a Larger Circle - Calculator

Calculate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits in a larger pipe or conduit.

Sponsored Links

The calculator below can be used to estimate the maximum number of small circles that fits into an outer larger circle. The calculator can be used to calculate applications like

  • the number of small pipes that fits into a large pipe or tube
  • the number of wires possible in a conduit
  • the number of fibers that fits in a connector
  • and similar applications

Input

  • the inside diameter of an outer larger circle (or pipe, tube, conduit, connector), and
  • the outside diameters of small circles (or pipes, wires, fiber)

The default values are for a 10 inch pipe with 2 inch smaller pipes - dimensions according ANSI Schedule 40 Steel Pipes.

  • Note that the algorithm is quite simple - a circle or more may be added by rearranging the circles. 

inside diameter of large outer circle (in, mm, m ..)

outside diameters of inside smaller circles  (in, mm, m ..)


Load Calculator!

 


Load Calculator! (enable pop-up)

Outside Diameter of a Bundle of Pipes

Tip! - the calculator above can be used to approximate the outside diameter of a bundle of pipes by inserting the small pipe diameter and do an iterative changing of the outside pipe diameter until the number of pipes calculated fits the number of pipes in the bundle.

Example - Outside diameter of a bundle with 30 pc. 1.5 inch pipes

The iterative process can be done like this:

Iteration No.InputCalculated
Small Pipe DiameterLarge Pipe DiameterNo. of Pipes
1 1.5 10 32
2 1.5 9 26
3 1.5 9.8 31
4 1.5 9.6 29
5 1.5 9.7 31
6 1.5 9.65 30

Iteration 6 indicates that the outside diameter of the bundle of pipes is approximately 9.65 inches.

Calculate Maximum Number of Smaller Circles in Larger Circles

  • an array with multiple smaller and larger circles

In the boxes below

  • add a comma separated list with the sizes of the larger circles
  • add a comma separated list with the sizes of the smaller circles

An array with the maximum number of smaller circles within the larger circles will be created.

 inside diameters of outside larger circles (in, mm, m ..)

 outside diameters of inside smaller circles (in, mm, m .. )


Load Calculator!

 

The default input values above are from ANSI Schedule 40 Steel Pipes.

Sponsored Links

Related Topics

Related Documents

Sponsored Links

Share

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.

Topics

Unit Converters

Temperature

oC
oF


Load Calculator!

Length

m
km
in
ft
yards
miles
naut miles


Load Calculator!

Area

m2
km2
in2
ft2
miles2
acres


Load Calculator!

Volume

m3
liters
in3
ft3
us gal


Load Calculator!

Weight

kgf
N
lbf


Load Calculator!

Velocity

m/s
km/h
ft/min
ft/s
mph
knots


Load Calculator!

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O


Load Calculator!

Flow

m3/s
m3/h
US gpm
cfm


Load Calculator!

3 10

This website use cookies. By continuing to browse you are agreeing to our use of cookies! Learn more