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RECTANGULAR TANK THICKNESS CALCULATION
Equipment Name / Tag No.
: RECTANGULAR STORAGE TANK
Project No.
:-
Project Name
: ……
Date
: 9-Mar-2017
PPE Std. Doc. No : PPE-STD-CAL-ME-006
Originated by : TM
Checked by : WS
Input = Blue Font ; Output = Black Font
Approved by : AS
RECTANGULAR TANK LAYOUT
Side-3
Side-2
Side-1
H
H W
W L
L
b
a
Layout for stiffener
DESIGN PARAMETERS Code Design
API 650 & Roark's Formula
Material Specification
Dimension
A-36
Shell, Roof & Bottom
Height (H)
2,772.00 mm
Allowable Stress (Sa)
Width (W)
2,000.00 mm
Nozzle Neck
Length (L)
2,000.00 mm
Flange
1,000.00 kg/m3
Pipe Fittings
A 234 WPB
Bolts & Nuts
A-193 B7 / A-194 B2H
Density Liquid (ρ)
AMB kg/cm2
Design Pressure (P)
25 C
Design Temperature (T)
A 105
A-36 6 mm
Nominal Thickness Plate (tn)
25.00 C
Operating Temperature
Density of Material (ρ material) 0.3 cm
7,860.00 kg/m3
### ###
1757.9 kg/cm2
Corrosion Allowance (CA)
3.00 mm
Liquid Specific Gravity (SG)
1.00
Allowable Bending Stress
Joint Efficciency (Eff)
0.85 Shell
Distance between stiffener Vertical (a)
325 mm
1.00 Roof & Bottom
Distance between stiffener Horizontal (b)
Yield Stress of Material (Sy)
325 mm
1160.21 kg/cm2
2.90E+07 psi
Modulus Elasticity (E)
###
A 106 B
Stiffener
AMB kg/cm2
Operating Pressure
16,700.00 psi
### CALCULATION
Rectangular tanks are designed for static head of the liquid. No internal or external pressure is considered. In order to satisfy thickness requireement, external stiffeners are provided so that the tank plates do not buckle under the stress developed due to no liquid head. Total volume of tank
11.09 m3
Empty weight of tank
1,108.70 kg
Weight of the liquid in the tank
11,088.00 kg
Total weight of tank with liquid
12,196.70 kg
The Analysis of the tank shell will be done in three parts :
1 Thickness requirement for the top/bottom of the tank 2 Thickness requirement for the side of the tank This thickness analysis would be followed by the check for structural requirement for stiffener. The structural calculation for the adequacy of the structure for lifting of the tank and for operating condition with full liquid along with adequacy check for the lifting lug shall conclude the calculations. A. Thickness requirement for the top/base of tank As per Roark's formula for stress and strain ,Seventh Edition, Table 11.4, Page 508, Case No.8 for a rectangular plate with all edges fixed and load distributed uniformly over the entire plate. The base of the tank can be assumed too be a plate with uniform loading. Total vertical load on the bottom plate (Wl) Total area of the bottom plate (Ab) The load per unit area of the plate (q)
12,196.80 kg 4.00 m2 3,049.20 kg/cm2
0.30492 kg/cm2
The maxmium unstiffened length becomes (a)
325.00 mm
32.50 cm
The maxmium unstiffened width becomes (b)
325.00 mm
32.50 cm
The ratio of length to width (a/b)
29.90 kPa
1.00
Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING
1
RECTANGULAR TANK THICKNESS CALCULATION
Equipment Name / Tag No.
: RECTANGULAR STORAGE TANK
Project No.
:-
Project Name
: ……
Date
: 9-Mar-2017
PPE Std. Doc. No : PPE-STD-CAL-ME-006
Originated by : TM
Checked by : WS
Input = Blue Font ; Output = Black Font
Approved by : AS
Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING
2
RECTANGULAR TANK THICKNESS CALCULATION
Equipment Name / Tag No.
: RECTANGULAR STORAGE TANK
Project No.
:-
Project Name
: ……
Date
: 9-Mar-2017
PPE Std. Doc. No : PPE-STD-CAL-ME-006
Originated by : TM
ß1*q b2
Checked by : WS
ß1*q*b2
sqrt(ß1* Input = Blue Font ; Output = Black Font
Approved by : AS
[sqrt(ß1*
Table 11.4 (Roark's formula for Stress & Strain)
a/b 1.0 1.2
ß1
ß2
α
From this value an as per Roark's equation for stress, as per the case mentioned above,
0.3078
0.1386
0.0138
0.3834
0.1794
0.0188
1.4
0.4356
0.2094
0.0226
1.6 1.8
0.4680
0.2286
0.0251
0.4872
0.2406
0.0267
2.0
0.4974
0.2472
0.0277
~
0.5000
0.2500
0.0284
ß2*q*b2
-275.371 kg/cm2
OK..!
###
- Maximum bending stress at the centre : OK..!
0.3078
ß2
0.1386
α
0.0138
### ###
1.00
ß1
sqrt(ß2*
[sqrt(ß2*
123.998 kg/cm2 Ratio (a/b)
ß2*q b2
- Maximum bending stress at the centre of long edge :
Thickness required
tr = sqrt[(ß1*q*b2)/Sa] + CA
5.91 mm
5.91 mm
b2 CA
tr = sqrt[(ß2*q*b2)/Sa] + CA
4.95 mm α*q
Thickness selected
6 mm
tn
OK..!
b4 tn3
Maximum deflection
Ymax = (α*q*b4)/(E*tn3)
Allowable maximum deflection
a/324
0.11 mm 1.00 mm
OK..!
b4 tn3
B. Thickness requirement for the length/width of the tank The maxmium unstiffened height becomes (a)
325.00 mm
32.50 cm
b2
The maxmium unstiffened width becomes (b)
325.00 mm
32.50 cm
CA
1.00
The ratio of length to width (a/b)
b4 tn3
Table 11.4 (Roark's formula for Stress & Strain) a/b
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
ß1
0.1132
0.1778
0.2365
0.2777
0.3004
0.3092
0.3100
0.3068
ß2
0.0410
0.0633
0.0869
0.1038
0.1128
0.1255
0.1157
0.1148
ß3
0.0637
0.0688
0.0762
0.0715
0.0610
0.0509
0.0415
0.0356
q*b2
ß4
0.0206
0.0497
0.0898
0.1249
0.1482
0.1615
0.1680
0.1709
ß*q*b2
ß5
0.1304
0.1436
0.1686
0.1800
0.1845
0.1874
0.1902
0.1908
###
α
0.0016
0.0047
0.0074
0.0097
0.0113
0.0126
0.0133
0.0136
### ###
So, Ratio (a/b)
1.00
Thickness required ß1
5.55 mm
tr = sqrt[(ß*q*b2)/Sa] + CA
###
5.55
ß*q*b2/Sa
ß1
0.2365
ß2
4.54
###
ß2
0.0869
ß3
4.45
###
ß3
0.0762
ß4
4.57
###
ß4
0.0898
ß5
5.15
###
ß5
0.1686
α
0.0074
Thickness selected
tn
Maximum deflection
Ymax = α*q*b4/(E*tn3)
Allowable maximum deflection
a/324
6 mm
OK..!
0.06 mm 1.00 mm
OK..!
Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING
3
RECTANGULAR TANK THICKNESS CALCULATION
Equipment Name / Tag No.
: RECTANGULAR STORAGE TANK
Project No.
:-
Project Name
: ……
Date
: 9-Mar-2017
PPE Std. Doc. No : PPE-STD-CAL-ME-006
Originated by : TM
ß1*q b2
Checked by : WS
ß1*q*b2
sqrt(ß1* Input = Blue Font ; Output = Black Font
Approved by : AS
Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING
[sqrt(ß1*
4