k = 221 W/mK, d₁ = 30 cm, d₁0= 12 cm, L = 9 m, T₁ = 70°C, and T₁0 = 10°C. The beam is
solid round tapered with diameter as a function of position d(x). There are 10 nodes on the beam
equally spaced. Note: Cannot factor out A for global thermal matrix since it is constantly
changing. Use average area for element (A; +Ai+1/2).
1. Calculate the temperature for nodes 1-10 [°C].
2. Plot T vs. x.
3. Calculate the total heat transfer rate q [W].
Calculations: Matlab or Excel will be accepted but you must show all work and describe what
the code does. If working in groups you still need to show that you did the work on your own!
9
0
10
d;
10
-ød(x)
+
Fig: 1
Fig: 2
Fig: 3