THERMAL EXPANSION CALCULATOR

Thermal Expansion Calculator to calculate linear thermal expansion of an unrestrained bar when the temperature of the bar is uniformly changed. Linear thermal expansion formulas which are used for calculations are given in the "List of Equations" section.

If the temperature of a bar , which rests freely on a surface, is increased by ∆T, the bar expands linearly by an amount of δ_T. The amount of elongation is proportional to the temperature change ∆T, the length of the bar L and coefficient of thermal expansion of bar material α.

Linear Thermal Expansion Calculator:


INPUT PARAMETERS
Parameter	Value
Initial Length [L]
Linear Expansion Coefficient [α]
Initial Temperature [t₀]
Final Temperature [t₁]

OUTPUT PARAMETERS
Parameter	Value
Change in Length [δ_T]	---	---
Final Length [L + δ_T]	---	---
Temperature Change [∆T]	---	---
Thermal Strain [ε_T ]	---	---

Note: Use dot "." as decimal separator.

Supplements:

Link	Usage
Material Properties	Thermal expansion coefficient values of steels, aluminum alloys, cast irons, coppers and titaniums.
Thermal Stress in a Bar	Calculates stress of a restrained bar when the temperature of the bar is uniformly changed.
Thermal Stress in a Unifrom Plate	Calculates stress of a restrained unifrom plate when the temperature of the plate is uniformly changed.

List of Equations:

Parameter	Equation
Thermal Deformation [δ_T]	δ_T = (∆T)αL
Thermal Strain [ε_T ]	ε_T = αL

Reference:

Beer.F.P. , Johnston.E.R. (1992). Mechanics of Materials , 2nd edition. McGraw-Hill, Chapter 2.10
Budynas.R , Nisbett.K . (2014) . Shigley's Mechanical Engineering Design . 10th edition. McGraw-Hill , , Chapter 3.17
Young.W.C., Budynas.R (2011). Roark's Formulas for Stress and Strain, 8th Edition . McGraw-Hill, Chapter 16