Answer to Question #71903 in Material Science Engineering for Jasim Khan

Question

The length of Lead piping in the plant is 50 m long at a temperature of 160C. When hot water flows
through it the temperature of the pipe rises to 800C. The coefficient of linear expansion of lead is
29 10-6 0 K
-1
.
i) Determine the change in length of the hot pipe.
This part of the task provides part of the evidence for the grading criterion P8.
ii) Determine the compressive force induced in the pipe if it is rigidly held and expansion is
prevented.
This part of the task provides the evidence for the grading criterion M4.

Answer 1

i)
dl=αlΔT=19∙〖10〗^(-6)∙500∙(135-25)=1.045 mm.
ii)
F=σA=αTEA=19∙〖10〗^(-6)∙〖84∙10〗^9∙(135-25)∙〖π(0.01)〗^2=55.15 kN