Thermal Expansion - Linear

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)

where

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

L0 - initial length (m, inches)

α - linear expansion coefficient (m/moC, in/inoF) 

t0 - initial temperature (oC, oF)

t1 - final temperature (oC, oF)

Linear Temperature Coefficients - α - of some common 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) 

Superficial Expansion

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.

Cubic 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.

Related Topics

  • Temperature Expansion - Thermal expansion of pipes and tubes - stainless steel, carbon steel, copper, plastics and more
  • Thermodynamics - The effects of work, heat and energy on a system

Related Documents

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