Question

A 10 m beam increases in length by 2.4*1/1000 m when the temperature changes from 30 to 50 find the coefficient of linear expansion of the material of the beam

Answer 1

use formula
L=Lo (1+dT.@)
where @ is linear expansion
L if final length
Lo is initial length and dT is temperature change
10+2.4/1000=10 (1+dT@)
10+2.4/1000-10=10 (50-30)@
2.4/1000=200@
@=(2.4x10^-5)/2
=1.2x10^-5
so linear expansion of beam =1.2x10^-5