For the tapered aluminum beam below experiencing pure conduction heat transfer with

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 (A₁ +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!

0

T.

10

-ød(x)

+