Length Differential

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Length differential is the difference between an expanded or reduced length of an object.

Length Differential formula

\(\large{ \Delta l = l_f \;- \; l_i  }\)

\(\large{ \Delta l = l_{ur} \; \alpha \; \Delta T   }\)     (unrestrained pipe length)

Where:

\(\large{ \Delta l  }\) = length differential

\(\large{ l_f }\) = final length

\(\large{ l_i  }\) = initial length

\(\large{ \Delta T }\) = temperature differential

\(\large{ \alpha }\)  (Greel symbol alpha) = thermal expansion coefficient

\(\large{ l_{ur} }\) = unrestrained pipe length

 

Tags: Equations for Differential