Optimum Design of Steel Skeleton Structures - Music-Inspired Harmony Search Algorithm: Theory and Applications - page 104

b f

Upper Tee

t w

H s

e e

Lower Tee

t f

Fig. 9. Design variables for a cellular beam

beam becomes available for design. The corresponding values to 2 I and I in the de-

sign sets makes the hole diameter and the total number of holes available for the cel-
lular beam. Hence the design problem turns out to be as follows:

2

⎛ ⎞

⎛ D ⎞

⎜
⎝

⎟
⎠

0
2

Maximize W = ρ A L − π NH (24)

⎜
⎝

⎟
⎠

⎜ ⎟

subject to

g = 1 . 08 × D − S ≤ 0 (25)

1 0

g = S − 1 . 6 × D ≤ 0 (26)

2 0

g = 1 25 × D − H ≤ 0 (27)

3 0 S

g = H − 1 75 × D ≤ 0 (28)

4 S 0

g = M − M ≤ 0 (29)

5 U P

g = V −

P

≤ 0 (30)

6 max sup

g = V − P ≤ 0 (31)

7 O max vy

g = V − P ≤ 0 (32)

8 H max vh

g = M − M ≤ 0 (33)

9 A − A max w max

g = V − 0 . 5 × P ≤ 0 (34)

10 Tee vy

P M

0

g = − − 1 ≤ 0 (35)

11

P M

u p

g = y − L / 360 ≤ 0 (36)

12 max