Optimum Design
175
Adding
261 = 1
1
1
61 =62
=-- 2
(3.110)
Substitute Eq. (3.110) and Eq. (3.107)into Eq. (3.108)
3
36] = 0
2
3
1
2
+ (o) =
(3.111)
Now substitute Eq. (3.111) and Eq. (3.110) into V(6)Eq. 3.103
1/2(3~C~1/2
3(57,750) 1/2 1 2 ,/2
1
0
lo>o o,o
L\lS,000(°)/J
(3.112)
The terms to the zero power are equal to 1
a°=l
if a¢0
The last constraint due to stress is not binding and can be dropped out of the
problem formulation as it really doesn’t affect the cost. Thus, evaluating the
V(6) minimum cost without the last constraint
V(6) = I(4rt)(6rc)
4~ _] \2.,/
= [36~[57,750]]1/2(1/2)
1/2
= $1807.12
(3.113)
to evaluate variables R and t.