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

Circular Ring - Temperature Expansion

Calculate ring (or pipe) diameter expansion or contraction when temperature changes.

Sponsored Links

Pipe or tube - change in diameter or radius with changed temperature

The circumference of a thin ring, a pipe or tube, can be expressed as

c0 = 2 π r0                                 (1)

where 

c0 = initial circumference (m, inches)

π = 3.14...

r0 = initial radius (m, inches)

The change in circumference due to temperature change can be expressed as

dc = c1 - c

     =  2 π r0 dt α                                 (2)

where 

dc = change in circumference (m, inches)

c1 = final circumference (m, inches)

dt = temperature change (oC, oF)

α = linear expansion coefficient (mm/moC, μin/inoF)

The final circumference can be expressed as 

c1 = 2 π r1                                           (3)

where 

r1 = final radius (m, inches)

Equation 1, 2 and 3 can be expressed as  

dc = 2 π r1 - 2 π r0 

    = 2 π r0 dt α 

or transformed to

r1 = r0 dt α + r0 

    = r0 (dt α + 1)                                    (4)

Equation 4 can be modified with diameters to

d1 = d0 (dt α + 1)                                     (5)

Example - Steel Pipe Diameter Temperature Expansion

A stainless steel pipe with nominal diameter 10 inches (outside diameter 10.750 inches) is heated from 68oF to 98oF. The expansion coefficient for stainless steel S30100 is 9.4 μin/inoF.

The final outside diameter can be calculated

d1 = d0 [dt α + 1]

    = (10.750 in) [((98 oF) - (68 oF)) (0.0000094 in/inoF) + 1]

    = 10.753 inches

Circular Ring - Temperature Expansion Calculator

Calculate the final diameter of a thin circular ring after temperature expansion. The calculator can be used for metric and imperial units as long as the use of units are consistent.

Sponsored Links

Related Topics

  • Temperature Expansion

    Thermal expansion of pipes and tubes - stainless steel, carbon steel, copper, plastics and more.

Related Documents

Sponsored Links

Search

Search is the most efficient way to navigate the Engineering ToolBox.

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

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 older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

Citation

This page can be cited as

  • The Engineering ToolBox (2010). Circular Ring - Temperature Expansion. [online] Available at: https://www.engineeringtoolbox.com/thin-circular-ring-radius-temperature-change-d_1612.html [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter

















































2.19.10

Sponsored Links
.