Linear temperature expansion - online calculator
When an object is heated or cooled, its length changes by an amount proportional to the original length and the change in temperature. Linear thermal expansion of an object can be expressed as
dl = L0 α (t1 - t0) (1)
dl = change in length (m, inches)
L0 = initial length (m, inches)
α = linear expansion coefficient (m/moC, in/inoF)
t0 = initial temperature (oC, oF)
t1 = final temperature (oC, oF)
Online Thermal Linear Expansion Calculator
Linear Temperature Coefficients - α - of some common metals
- aluminum : 0.000023 (m/moC)
- steel: 0.000016 (m/moC)
- copper: 0.000017 (m/moC)
- more coefficients ..
- more metals ..
Example - Expansion of an Aluminum beam
An aluminum construction is designed for temperatures ranging -30oC to 50oC. If a beam's length is 6 m when assembled at 20oC - the shortest length of the beam at minimum temperature -30oC can be calculated as
dl = (6 m) + (6 m) (0.000023 m/moC) ((-30 oC) - (20 oC))
= 5.993 (m)
The longest length of the beam at maximum temperature 50oC can be calculated as
dl = (6 m) + (6 m) (0.000023 m/moC) ((50 oC) - (20 oC))
= 6.004 (m)
The amount by which a unit area of a material increases when the temperature is raised by one degree is called the coefficient of superficial (area) expansion.
The amount by which a unit volume of a material increases when the temperature is raised by one degree is called the coefficient of cubic expansion.