1
MC 4624 F rev 0.xls
“31 years in BRAZIL”
CALCULATION SHEET
MC 4624 F - rev. 0
Construction Code
:
ASME RTP - 1d - 2002
Customer
:
M & G POLÍMEROS BRASIL S.A.
Project
:
IPOJUCA - BRAZIL
Order
:
00214
Equipment
:
DM WATER STORAGE TANK
Item
:
1864-T06
Material
:
FRP
Job
:
4624/05
Drawing
:
150-05
Dimensions / Capacity
:
ø3000 x 3600 mm - 24.000 L
Hurner do Brasil Equipamentos Técnicos Ltda.
Estrada Marco Polo, 1.100 - Bairro Batistini - São Bernardo do Campo - SP. cep : 09844-150 - C.P. 503
Tel: 55 (11) 4347 - 90 88 Fax: 55 (11) 4347 - 94 16 e -mail: hurner@hurner.com.br
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MC 4624 F rev 0.xls
1) DESIGN FOR EXTERNAL PRESSURE
1.1) Wall Cylindrical Shell
Pa =
k ( Er / F ) ( Do / L ) ( t / Do) 2,5
1 - 0,45 ( t / Do ) 0,5
Pa =
0,4806
>
0,2464
ok
Where:
Do
Ea
Eh
F
L
t
Er
Pa
k
P
Note:
=
=
=
=
=
=
=
=
=
=
outside diameter, in inches
axial tensile modulus, in psi
hoop tensile modulus, in psi
design factor
distance of the stiffining rings, in inches
wall thickness, in inches
(Ea.Eh)0,5 resultant modulus, in psi
allowable external pressure, in psi
4,0 - 0,75(Er/1.000.000) for all types of laminates
design pressure (0,1469 psi + wind load) , in psi
=
=
=
=
=
=
=
=
=
=
Wind pressure = 100 kg/cm² = 0,1422 psi
Sf = Wind shape factor = 0,7
Wind load = 0,1422 * 0,7 =
0,0995 psi
NOTE: Thickness 0,2953 in (7,5 mm) until elevation 2.050 mm, with
stiffening ring.
118,70
1.454.000
3.350.000
5,00
80,71
0,2953
2.207.012
0,4806
2,34
0,2464
3
MC 4624 F rev 0.xls
1.2) Stiffening Rings
Is =
P . Ls . Do3 . F
24. Eh
ls =
IS =
in4
0,23
4
9,66 cm
1
( B × d 3 − b × (d − c ) 3 + a × ν 3 )
3
1 a × H 2 + b × c2
ν =H− ×
2
a× H + b×c
B=
H=
a=
c=
6,35
6,98
0,63
0,63
cm
cm
cm
cm
h=
b=
6,35
5,72
cm
cm
=
d=
4,92
2,06
cm
cm
IS =
37,9
cm4
Is =
37,94
>
9,66 OK
Where:
Do
=
outside diameter, in inches
=
118,70
Eh
=
modulus of elasticity of the C.S., in psi
=
29.869.000
F
Is
=
=
design factor
Moment of Inertia of the Reinforcement, in pol4
=
=
5,00
0,23
Ls
=
distance of the stiffining rings, in inches
=
80,71
P
=
design pressure (0,1465 psi + wind load), in psi
=
0,2464
NOTE: USE "T - BAR" (WELDED) OF C.S. 63,5 mm x 69,9 mm x 6,35 mm thick.
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MC 4624 F rev 0.xls
1.3) Elliptical Heads 2:1
Ro (Pd . F/ (0,36 . Er))0,5
t1 =
Where
Er
F
Pd
Ro
=
=
=
=
Flex. modulus min. 5/16" thick .= 900.000 psi
Design factor =
5
Total external pressure =
0,2464 psi
Crown radius of head =
107,12 in
t1 =
0,209
in
t1 =
5,3
mm
NOTE:
Design pressure =
Wind load =
Total external pressure =
To use t =
8
mm
0,1469 psi
0,0995 psi
0,2464 psi
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MC 4624 F rev 0.xls
2)
DESIGN FOR TOTAL INTERNAL PRESSURE
Hoop Loading
th =
P.Di
See 2.2
2(0,001. Eh)
Axial Loading
ta =
Nax
Sa / F
Where:
Di
F
Nax
P
=
=
=
=
Sa
ta
=
=
th
=
Eh
=
F1
=
inside diameter, in inches
design factor
axial force per circumferencial of shell, in psi
total internal pressure, in psig
(pressure internal + liquid column)
ultimate axial tensile strength, in psi
total thickness of the wall, for the axial tension,
in inches
total thickness of the wall,
for the tensão circumferencial, in inch.
module of radial tension for filament,
in psi
forces axial, in pounds
2
=
=
=
=
118,11
10,00
10,5
0,3555
=
=
12.000
0,0087
=
=
=
see 2.2
3.350.000
=
3.895
A
Pe
=
=
area, in inch
perimeter, in inches
=
=
10.956
371,06
Y
=
weigh specific of the product, in kg/cm3
=
1,000
6
MC 4624 F rev 0.xls
2.1) Total Internal Pressure
P=
psi
0,3555
P1 = Y * h1 *1,422 + P
h1 =
3,600
m
Pnx
=Y * h1 *1,422 + P
Pn1 =
5,48
PSI
2.2) Calculation of the Cylinder for Radial Efforts:
th =
Pnx .Di
2(0,001. Eh)
th1
NOTE:
0,097 in
=
2,5
mm
For the negative pressure, to use 7,5 mm thic.
2.3) Calculation of the Cylinder for Axial efforts:
ta =
Nax
Sa / F
ta =
0,0087 in
Where:
Nax =
F1
Pe
Nax =
ta =
10,5
0,0087 in =
F1 =
F1 = 3.895
0,22
mm
P.A
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MC 4624 F rev 0.xls
2.4) Minimum Thickness of Elliptical Heads 2:1
t=
P . Di / 2 . (Su / F)
F
P
Di
Su
=
=
=
=
t
=
Design factor =
10
Total internal pressure =
Inside Diameter of head =
Ultimate tensile strenght =
0,01400
in
=
0,3555
118,11
15.000
psi
in
psi
0,4
mm
NOTE: For the negative pressure, to use 8 mm thick.
3)
Minimum Thickness of Flat Bottom
The minimum thickness for fully supported flat - bottom using type II laminate,
subject to hydrostatic pressure only.
t = 0,37 in
=
9,5
mm
3.1) FLAT - BOTTOM TANK CORNER
We adopted this standard for the flat - bottom tank corner:
According to figure 4 - 3
tr =
t + tb
Where:
tr
tb
t
=
=
=
tr
=
reinforcement thickness
bottom thickness
shell thickness
17,0
mm + 2,5 mm = to use
19,529 mm
mm(total)
The illustration 4 - 3 determine the height L and M of the reinforcement.
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MC 4624 F rev 0.xls
4)
HOLD - DOWN LUG DESIGN
4.1) Calculation of Wind Uplift on Roof of Vessel
U = At (Pg . G)
Where:
At
Pg
=
=
plan area of vessel top, sq.ft
uplift coefficient (see fig. NM4-3)
=
=
76,09
0,87
G
=
wind pressure , in lb/ft2
( wind pressure = 100 kg/m2)
=
20,50
U=
1.357 lb
=
0,70
=
=
=
=
20,50
9,84
14,27
2,46
4.2)
Calculation of the Wind Overturning Moment
M q = 0,5.Sf . G.D. H2 + 0,25. G. D. Hd . (H + Hd / 3)
Mq =
16.257 ft - lb
Where:
Sf
=
G
D
H
Hd
=
=
=
=
4.3)
wind shape factor
dimensionless for cylindrical vesses
wind pressure, p.sq.ft
nominal vessel diameter, ft
height of vessel straight side, ft
depth of top head, ft
Calculation of Net Uplift
Unet = U - W + 4 . Mq / D
Unet =
5.429 lb
Where:
W =
total load , lb
= 2.535
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MC 4624 F rev 0.xls
4.4)
Assume 4 lugs. Then load per lug is:
F =
Unet
N
F =
1.357
lb / lug
F =
616
Kg / lug
maximum load for hold down lug = 2500 kg
5.1) Joint Between Cylinder/Head
For torispherical heads subject to internal loading, see fig. 4 - 2, sketch (a).
5.2) Joints Between Cylinder / Cylinder
For the joint between cylinder / cylinder we considered a Hand - lay - Up
laminate with structural thickness equal to the highest value of the cylinder
parts to be united, so
MC 4624 F rev 0.xls
6)
CALCULATION IN THE HEAD FOR A LOAD OF 125 kg
10
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MC 4624 F rev 0.xls
7)
SUMMARY OF THE THICKNESS
Shell
Structural layer (mm)
7,5
Corrosion Barrier (mm)
2,5
Total Thickness (mm)
10
Corrosion Barrier (mm)
2,5
Total Thickness (mm)
10,5
Corrosion Barrier (mm)
2,5
Total Thickness (mm)
12,0
Torispherical Head
Structural layer (mm)
8,0
Bottom
Structural layer (mm)
9,5
Flat - Bottom Tank Corner
Technical Department
Hurner do Brasil
Equipamentos Técnicos Ltda.
JAS
Total Thickness (mm)
19,5
MC 4624 F rev 0.xls
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MC 4624 F rev 0.xls
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