The Trans-Alaskan pipeline is 1,300 km long, reaching from Prudhoe Bay to the port of Valdez, and experiences temperatures from
delta(L) = L*alpha*delta(t)
delta(L) = 1300*108*1.638*10^-10 km
delta(L) = 2.3*10^-5 km = 2.3cm
let's assume it's carbon steel....
the linear coefficient
of thermal expansion of carbon
steel = 10.8 ^-6 / K
from
?L = Lo x coeff. x ?T = 1300 km x 10.8 ^-6 / K x (73+35)
coefficient of
linear expansion
(alpha) = ?L /(L * ?t)
?L = expansion = change in length = alpha*L * ?t
L = 1300*1000 meter
?t = change in temp = 35 - (- 73) = 108 deg C
alpha for steel = 17.3*10^-6 (m/m*C) or (1/K) or (1/C)
-------------------------
?L = expansion = alpha*L * ?t = 17.3*10^-6*(1300*1000)*108
= 2428.92 meter
The Trans-Alaskan pipeline is 1,300 km long, reaching from Prudhoe Bay to the port of Valdez,...
the trans-Alaskan pipeline is 1,300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperature ranging from -60C to +28C. (Assume the coefficient of thermal expansion of steel is 11 x 10^-6(C)^-1.) (a) How much does the steel pipeline expand due to the difference in temperature? (b) How can one compensate for this expansion?