Optimum Design
181
Constraint 3 is not used but will be checked with Eqs. (3.119)-(3.126)
Constraint 5 R_< 2.1211 in
Constraint 6 t > 0.0015 in
Constraint 7 L _> 0.100 in
Equate Eq. (3.148) and Eq. (3.147) solving for L yielding
L = 2.96195"
(3.150)
into Eq. (3.146) substitute Eq. (3.149) for R and Eq. (3.150)
t = 0.001366"
(3.151)
But constraint 6 states t _> 0.0015 in. from Eq. (3.149), t = 0.0015"
R = 0.900"
(3.152)
Into Eqs. (3.119) substitute Eq. (3.150), (3.152) and t = 0.0015"
Ws = go = 0.00711 lbs
(3.153)
V(6) = 0.00589 lbs
(3.154)
The other constraints Eq. (3.120)-(3.126) must be checked for solutions
R, t, and L.
Constraint 1
0.828 < 1
Constraint 2
0.828 _< 1
Constraint 3
0.075 < 1
Constraint 4
1_<1
Constraint 5
0.9 in _< 2.1211 in
Constraint 6
0.0015 in > 0.0015 in
Constraint 7 for L
2.96195 >_ 0.100 in