176
Chapter 3
Now from
1
U~
2nR2t
2 V(6)
1807.12
R2t = 143.806
From 62
1 u2
62--- 2 V(6)
R
-- = 95.8707
t
From 61~
~ = U~ - 3(57,750)
4nR3
R3 _ 3(57,750 in
3)
4n
R = 23.9785"
3nR 1
t 1807.12
-1
Now
looking at the stress constraint even when it’s not binding.
PR
-- < 15,000
2t -
From Eq. (3.115)
~ (95.8707) _< 15,000
P _< 312.921 psig
This is highest pressure which also allows minimumcost.
Now substitute Eq.(3.116)into Eq. (3.115)
R 23.9785
-----95.8707
t
t
t = 0.2501"
So
Cost = $1807.12
Pmax = 312.9 psig
t = 0.2501"
R = 23.98"
(3.114)
(3.115)
(3.116)
(3.117)
(3.118)
Chapter 3
Now from
1
U~
2nR2t
2 V(6)
1807.12
R2t = 143.806
From 62
1 u2
62--- 2 V(6)
R
-- = 95.8707
t
From 61~
~ = U~ - 3(57,750)
4nR3
R3 _ 3(57,750 in
3)
4n
R = 23.9785"
3nR 1
t 1807.12
-1
Now
looking at the stress constraint even when it’s not binding.
PR
-- < 15,000
2t -
From Eq. (3.115)
~ (95.8707) _< 15,000
P _< 312.921 psig
This is highest pressure which also allows minimumcost.
Now substitute Eq.(3.116)into Eq. (3.115)
R 23.9785
-----95.8707
t
t
t = 0.2501"
So
Cost = $1807.12
Pmax = 312.9 psig
t = 0.2501"
R = 23.98"
(3.114)
(3.115)
(3.116)
(3.117)
(3.118)