VESSEL NAME / TAG N0:
AIR STORAGE TANK / A1708
DOCUMENT TITLE:
MECHANICAL DESIGN CALCULATION
0
REV.
03/10/23
DATE
ISSUED FOR REVIEW
DESCRIPTION
MFZ
PREPARED CHECKED
BY
BY
CONSULTANT
APPROVED REVIEWED
BY
BY
REVIEWED
BY
CLIENT
APPROVED
BY
Table of Contents
Input Echo: ............................................................................................................................................................................... 2
Internal Pressure Calculations: ............................................................................................................................... 6
External Pressure Calculations: ............................................................................................................................. 11
Element and Detail Weights: ....................................................................................................................................... 13
Nozzle Flange MAWP: .......................................................................................................................................................... 15
Natural Frequency Calculation: ................................................................................................................................ 16
Wind Load Calculation: ................................................................................................................................................... 17
Earthquake Load Calculation: .................................................................................................................................... 20
Wind/Earthquake Shear, Bending: ............................................................................................................................. 21
Wind Deflection: ................................................................................................................................................................. 22
Longitudinal Stress Constants: ................................................................................................................................ 23
Longitudinal Allowable Stresses: ........................................................................................................................... 24
Longitudinal Stresses due to: .................................................................................................................................. 25
Stress due to Combined Loads: .................................................................................................................................. 27
Center of Gravity Calculation: ................................................................................................................................ 31
Lifting Lug Calcs: LUG ................................................................................................................................................ 32
Leg Check, (Operating Case): .................................................................................................................................... 36
Leg Check, (Filled w/Water): .................................................................................................................................... 38
Nozzle Summary: ................................................................................................................................................................... 40
Nozzle Calcs.: N1 ............................................................................................................................................................ 41
Nozzle Calcs.: N2 ............................................................................................................................................................ 44
Nozzle Calcs.: N4 ............................................................................................................................................................ 50
Nozzle Calcs.: N6 ............................................................................................................................................................ 53
Nozzle Calcs.: N3 ............................................................................................................................................................ 56
Nozzle Calcs.: N5 ............................................................................................................................................................ 59
Nozzle Schedule: ................................................................................................................................................................. 62
MDMT Summary: ........................................................................................................................................................................ 64
Vessel Design Summary: ................................................................................................................................................... 66
PV Elite Vessel Analysis Program: Input Data
Design Internal Pressure (for Hydrotest)
Design Internal Temperature
Type of Hydrotest
Hydrotest Position
Projection of Nozzle from Vessel Top
Projection of Nozzle from Vessel Bottom
Minimum Design Metal Temperature
Type of Construction
Special Service
Degree of Radiography
Use Higher Longitudinal Stresses (Flag)
Select t for Internal Pressure (Flag)
Select t for External Pressure (Flag)
Select t for Axial Stress (Flag)
Select Location for Stiff. Rings (Flag)
Consider Vortex Shedding
Perform a Corroded Hydrotest
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Load
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
Case
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
Wind Design Code
Basic Wind Speed
Surface Roughness Category
Importance Factor
Type of Surface
Base Elevation
Percent Wind for Hydrotest
Using User defined Wind Press.
Damping Factor (Beta) for Wind
Damping Factor (Beta) for Wind
Damping Factor (Beta) for Wind
1.32
110.0
UG-99(b) Note [36]
Vertical
0
0
0.0
Welded
Air/Water/Steam
RT-4
Y
N
N
N
N
N
N
MPa
°C
mm
mm
°C
NP+EW+WI+FW+BW
NP+EW+EE+FS+BS
NP+OW+WI+FW+BW
NP+OW+EQ+FS+BS
NP+HW+HI
NP+HW+HE
IP+OW+WI+FW+BW
IP+OW+EQ+FS+BS
EP+OW+WI+FW+BW
EP+OW+EQ+FS+BS
HP+HW+HI
HP+HW+HE
IP+WE+EW
IP+WF+CW
IP+VO+OW
IP+VE+EW
NP+VO+OW
FS+BS+IP+OW
FS+BS+EP+OW
[V]
Vs Elev.
(Ope)
(Empty)
(Filled)
ASCE-7 93
112.65
C: Open Terrain
1.0
Moderately Smooth
0
33.0
N
0.0100
0.0000
0.0000
Seismic Design Code
UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4)
UBC Importance Factor
UBC Soil Type
UBC Horizontal Force Factor
UBC Percent Seismic for Hydrotest
UBC 94
0.000
1.000
S1
3.000
0.000
Design Pressure + Static Head
Consider MAP New and Cold in Noz. Design
Consider External Loads for Nozzle Des.
Use ASME VIII-1 Appendix 1-9
Y
N
Y
N
km/hr
mm
3
Material Database Year
Current w/Addenda or Code Year
Configuration Directives:
Do not use Nozzle MDMT Interpretation VIII-1 01-37
Use Table G instead of exact equation for "A"
Shell Head Joints are Tapered
Compute "K" in corroded condition
Use Code Case 2286
Use the MAWP to compute the MDMT
For thickness ratios <= 0.35, MDMT will be -155F (-104C)
For PWHT & P1 Materials the MDMT can be < -55F (-48C)
No
Yes
Yes
Yes
No
Yes
Yes
No
Using Metric Material Databases, ASME II D
Calculate B31.3 type stress for Nozzles with Loads
Reduce the MDMT due to lower membrane stress
Consider Longitudinal Stress in MDMT calcs. (Div. 1)
No
Yes
Yes
Yes
Complete Listing of Vessel Elements and Details:
Element From Node
Element To Node
Element Type
Description
Distance "FROM" to "TO"
Inside Diameter
Element Thickness
Internal Corrosion Allowance
Nominal Thickness
External Corrosion Allowance
Design Internal Pressure
Design Temperature Internal Pressure
Design External Pressure
Design Temperature External Pressure
Effective Diameter Multiplier
Material Name
Allowable Stress, Ambient
Allowable Stress, Operating
Allowable Stress, Hydrotest
Material Density
P Number Thickness
Yield Stress, Operating
UCS-66 Chart Curve Designation
External Pressure Chart Name
UNS Number
Product Form
Efficiency, Longitudinal Seam
Efficiency, Circumferential Seam
Elliptical Head Factor
Weld is pre-Heated
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
10
20
Elliptical
BOTTOM HEAD
25 mm
1500 mm
10.14 mm
1 mm
12 mm
0 mm
1.32 MPa
110 °C
0 MPa
0 °C
1.2
SA-516 70
137.9 MPa
137.9 MPa
235.81 MPa
0.00775 kg/cm³
30.988 mm
237.47 MPa
B
CS-2
K02700
Plate
1.0
0.85
2.0
No
10
Nozzle
N1
0
1
None
None
0.0
N
0
None
SA-105
mm
in.
N
4
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Diameter at Leg Centerline
Leg Orientation
Number of Legs
Section Identifier
Length of Legs
10
Leg
LEGS
0
1745.7
1
3
W8X24
392
mm
mm
mm
-------------------------------------------------------------------Element From Node
Element To Node
Element Type
Description
Distance "FROM" to "TO"
Inside Diameter
Element Thickness
Internal Corrosion Allowance
Nominal Thickness
External Corrosion Allowance
Design Internal Pressure
Design Temperature Internal Pressure
Design External Pressure
Design Temperature External Pressure
Effective Diameter Multiplier
Material Name
Efficiency, Longitudinal Seam
Efficiency, Circumferential Seam
Weld is pre-Heated
20
30
Cylinder
SHELL
2300
1500
12
1
12
0
1.32
110
0
0
1.2
SA-516 70
0.85
0.85
No
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
20
Nozzle
N2
475
16
None
150
180.0
Y
0
GR 1.1
SA-516 70
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
20
Nozzle
N4
2025
2.5
None
150
90.0
N
0
GR 1.1
SA-105
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
20
Nozzle
N6
275
2.5
mm
mm
mm
mm
mm
mm
MPa
°C
MPa
°C
mm
in.
N
mm
in.
N
mm
in.
5
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
None
150
270.0
N
0
GR 1.1
SA-105
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
20
Nozzle
N3
1475
0.5
None
None
180.0
N
0
None
SA-105
N
mm
in.
N
-------------------------------------------------------------------Element From Node
Element To Node
Element Type
Description
Distance "FROM" to "TO"
Inside Diameter
Element Thickness
Internal Corrosion Allowance
Nominal Thickness
External Corrosion Allowance
Design Internal Pressure
Design Temperature Internal Pressure
Design External Pressure
Design Temperature External Pressure
Effective Diameter Multiplier
Material Name
Efficiency, Longitudinal Seam
Efficiency, Circumferential Seam
Elliptical Head Factor
Weld is pre-Heated
Element From Node
Detail Type
Detail ID
Dist. from "FROM" Node / Offset dist
Nozzle Diameter
Nozzle Schedule
Nozzle Class
Layout Angle
Blind Flange (Y/N)
Weight of Nozzle ( Used if > 0 )
Grade of Attached Flange
Nozzle Matl
30
40
Elliptical
TOP HEAD
25 mm
1500 mm
10.14 mm
1 mm
12 mm
0 mm
1.32 MPa
110 °C
0 MPa
0 °C
1.2
SA-516 70
1.0
0.85
2.0
No
30
Nozzle
N5
0
2
None
150
0.0
N
0
GR 1.1
SA-105
mm
in.
N
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
6
Element Thickness, Pressure, Diameter and Allowable Stress :
|
| Int. Press |
Nominal | Total Corr |
Element | Allowable |
| To | + Liq. Hd | Thickness | Allowance |
Diameter | Stress(SE)|
|
|
MPa |
mm |
mm |
mm |
MPa |
---------------------------------------------------------------------------------BOTTOM HEAD|
1.32 |
12 |
1 |
1500 |
137.9 |
SHELL|
1.32 |
12 |
1 |
1500 |
117.22 |
TOP HEAD|
1.32 |
12 |
1 |
1500 |
137.9 |
---------------------------------------------------------------------------------From
Element Required Thickness and MAWP :
|
|
Design |
M.A.W.P. |
M.A.P. |
Minimum |
Required |
| To |
Pressure |
Corroded | New & Cold | Thickness | Thickness |
|
|
MPa |
MPa |
MPa |
mm |
mm |
---------------------------------------------------------------------------------BOTTOM HEAD|
1.32 |
1.67924 |
1.86189 |
10.14 |
8.18283 |
SHELL|
1.32 |
1.70191 |
1.85761 |
12 |
9.51481 |
TOP HEAD|
1.32 |
1.67924 |
1.86189 |
10.14 |
8.18283 |
---------------------------------------------------------------------------------Minimum
1.679
1.858
From
MAWP: 1.679 MPa, limited by: TOP HEAD.
Internal Pressure Calculation Results :
ASME Code, Section VIII Division 1, 2015
Elliptical Head From 10 To 20 SA-516 70 , UCS-66 Crv. B at 110 °C
BOTTOM HEAD
Longitudinal
Joint: Seamless
Circumferential Joint: Spot Radiography per UW-11(a,5,b) Type 1
Material UNS Number:
K02700
Required Thickness due to Internal Pressure [tr]:
= (P*D*Kcor)/(2*S*E-0.2*P) Appendix 1-4(c)
= (1.32*1502*0.998)/(2*137.9*1-0.2*1.32)
= 7.1828 + 1.0000 = 8.1828 mm
Max.
=
=
=
Allowable Working Pressure at given Thickness, corroded [MAWP]:
(2*S*E*t)/(Kcor*D+0.2*t) per Appendix 1-4 (c)
(2*137.9*1*9.14)/(0.998*1502+0.2*9.14)
1.679 MPa
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c)
= (2*137.9*1*10.14)/(1*1500+0.2*10.14)
= 1.862 MPa
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(Kcor*D+0.2*t))/(2*E*t)
= (1.32*(0.998*1502+0.2*9.14))/(2*1*9.14)
= 108.399 MPa
Straight Flange Required Thickness:
= (P*R)/(S*E-0.6*P) + c
per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)+1
= 8.230 mm
7
Straight Flange Maximum Allowable Working Pressure:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (137.9 * 1 * 11 )/(751 + 0.6 * 11 )
= 2.002 MPa
Factor K, corroded condition [Kcor]:
= ( 2 + ( Inside Diameter/( 2 * Inside Head Depth ))2)/6
= ( 2 + ( 1502/( 2 * 376 ))2)/6
= 0.998228
Percent Elong. per UCS-79, VIII-1-01-57 (75*tnom/Rf)*(1-Rf/Ro) 3.448 %
MDMT Calculations in the Knuckle Portion:
Govrn. thk, tg = 10.14, tr = 9.14, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 1, Temp. Reduction = 0 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. w/o impact per UG-20(f)
-28 °C
-29 °C
MDMT Calculations in the Head Straight Flange:
Govrn. thk, tg = 12, tr = 9.212, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.837, Temp. Reduction = 9 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Min Metal Temp. w/o impact per UG-20(f)
-23 °C
-32 °C
-29 °C
Cylindrical Shell From 20 To 30 SA-516 70 , UCS-66 Crv. B at 110 °C
SHELL
Longitudinal
Joint: Spot Radiography per UW-11(b) Type 1
Circumferential Joint: Spot Radiography per UW-11(a,5,b) Type 1
Material UNS Number:
K02700
Required Thickness due to Internal Pressure [tr]:
= (P*R)/(S*E-0.6*P) per UG-27 (c)(1)
= (1.32*751)/(137.9*0.85-0.6*1.32)
= 8.5148 + 1.0000 = 9.5148 mm
Max.
=
=
=
Allowable Working Pressure at given Thickness, corroded [MAWP]:
(S*E*t)/(R+0.6*t) per UG-27 (c)(1)
(137.9*0.85*11)/(751+0.6*11)
1.702 MPa
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (137.9*0.85*12)/(750+0.6*12)
= 1.858 MPa
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(R+0.6*t))/(E*t)
= (1.32*(751+0.6*11))/(0.85*11)
= 106.955 MPa
% Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 0.794 %
Minimum Design Metal Temperature Results:
8
Govrn. thk, tg = 12, tr = 10.85, c = 1 mm, E* = 0.85
Thickness Ratio = tr * (E*)/(tg - c) = 0.839, Temp. Reduction = 9 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Min Metal Temp. w/o impact per UG-20(f)
-23 °C
-32 °C
-29 °C
Elliptical Head From 30 To 40 SA-516 70 , UCS-66 Crv. B at 110 °C
TOP HEAD
Longitudinal
Joint: Seamless
Circumferential Joint: Spot Radiography per UW-11(a,5,b) Type 1
Material UNS Number:
K02700
Required Thickness due to Internal Pressure [tr]:
= (P*D*Kcor)/(2*S*E-0.2*P) Appendix 1-4(c)
= (1.32*1502*0.998)/(2*137.9*1-0.2*1.32)
= 7.1828 + 1.0000 = 8.1828 mm
Max.
=
=
=
Allowable Working Pressure at given Thickness, corroded [MAWP]:
(2*S*E*t)/(Kcor*D+0.2*t) per Appendix 1-4 (c)
(2*137.9*1*9.14)/(0.998*1502+0.2*9.14)
1.679 MPa
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c)
= (2*137.9*1*10.14)/(1*1500+0.2*10.14)
= 1.862 MPa
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(Kcor*D+0.2*t))/(2*E*t)
= (1.32*(0.998*1502+0.2*9.14))/(2*1*9.14)
= 108.399 MPa
Straight Flange Required Thickness:
= (P*R)/(S*E-0.6*P) + c
per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)+1
= 8.230 mm
Straight Flange Maximum Allowable Working Pressure:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (137.9 * 1 * 11 )/(751 + 0.6 * 11 )
= 2.002 MPa
Factor K, corroded condition [Kcor]:
= ( 2 + ( Inside Diameter/( 2 * Inside Head Depth ))2)/6
= ( 2 + ( 1502/( 2 * 376 ))2)/6
= 0.998228
Percent Elong. per UCS-79, VIII-1-01-57 (75*tnom/Rf)*(1-Rf/Ro) 3.448 %
MDMT Calculations in the Knuckle Portion:
Govrn. thk, tg = 10.14, tr = 9.14, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 1, Temp. Reduction = 0 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. w/o impact per UG-20(f)
-28 °C
-29 °C
9
MDMT Calculations in the Head Straight Flange:
Govrn. thk, tg = 12, tr = 9.212, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.837, Temp. Reduction = 9 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Min Metal Temp. w/o impact per UG-20(f)
-23 °C
-32 °C
-29 °C
Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F
Hydrostatic Test Pressure Results:
Pressure
Pressure
Pressure
Pressure
Pressure
Pressure
per
per
per
per
per
per
UG99b
UG99b[36]
UG99c
UG100
PED
App 27-4
=
=
=
=
=
=
1.30 * M.A.W.P. * Sa/S
1.30 * Design Pres * Sa/S
1.30 * M.A.P. - Head(Hyd)
1.10 * M.A.W.P. * Sa/S
max(1.43*DP, 1.25*DP*ratio)
M.A.W.P.
2.183
1.716
2.388
1.847
1.888
1.679
MPa
MPa
MPa
MPa
MPa
MPa
UG-99(b) Note 36, Test Pressure Calculation:
= Test Factor * Design Pressure * Stress Ratio
= 1.3 * 1.32 * 1
= 1.716 MPa
Vertical Test performed per: UG-99b (Note 36)
Please note that Nozzle, Shell, Head, Flange, etc MAWPs are all considered
when determining the hydrotest pressure for those test types that are based
on the MAWP of the vessel.
Stresses on Elements due to Test Pressure (MPa):
From To
|
Stress | Allowable |
Ratio | Pressure |
-----------------------------------------------------------------------BOTTOM HEAD
|
129.3 |
235.8 |
0.549 |
1.75 |
SHELL
|
129.4 |
235.8 |
0.549 |
1.74 |
TOP HEAD
|
127.4 |
235.8 |
0.540 |
1.72 |
-----------------------------------------------------------------------Stress ratios for Nozzle and Pad Materials (MPa):
Description
| Pad/Nozzle |
Ambient |
Operating |
Ratio |
-----------------------------------------------------------------------N1
|
Nozzle |
137.90 |
137.90 |
1.000 |
N2
|
Nozzle |
137.90 |
137.90 |
1.000 |
N2
|
Pad |
137.90 |
137.90 |
1.000 |
N4
|
Nozzle |
137.90 |
137.90 |
1.000 |
N6
|
Nozzle |
137.90 |
137.90 |
1.000 |
N3
|
Nozzle |
137.90 |
137.90 |
1.000 |
N5
|
Nozzle |
137.90 |
137.90 |
1.000 |
-----------------------------------------------------------------------Minimum
1.000
Stress ratios for Pressurized Vessel Elements (MPa):
Description
|
Ambient |
Operating |
Ratio |
-----------------------------------------------------------------------BOTTOM HEAD
|
137.90 |
137.90 |
1.000 |
SHELL
|
137.90 |
137.90 |
1.000 |
TOP HEAD
|
137.90 |
137.90 |
1.000 |
-----------------------------------------------------------------------Minimum
1.000
10
Hoop Stress in Nozzle Wall during Pressure Test (MPa):
Description
|
Ambient |
Operating |
Ratio |
-----------------------------------------------------------------------N1
|
2.47 |
179.27 |
0.014 |
N2
|
40.73 |
179.27 |
0.227 |
N4
|
7.92 |
223.40 |
0.035 |
N6
|
8.00 |
223.40 |
0.036 |
N3
|
1.04 |
223.40 |
0.005 |
N5
|
7.20 |
223.40 |
0.032 |
-----------------------------------------------------------------------Elements Suitable for Internal Pressure.
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
11
External Pressure Calculation Results :
External Pressure Calculations:
|
|
Section |
Outside | Corroded |
Factor |
Factor |
From|
To |
Length |
Diameter | Thickness |
A
|
B
|
|
|
mm |
mm |
mm |
|
MPa |
----------------------------------------------------------------------------10|
20|
No Calc |
1520.28 |
9.14 | 0.00083501 |
79.5629 |
20|
30|
2600 |
1524 |
11 | 0.00046883 |
46.8728 |
30|
40|
No Calc |
1520.28 |
9.14 | 0.00083501 |
79.5629 |
----------------------------------------------------------------------------External Pressure Calculations:
|
|
External |
External |
External |
External |
From|
To | Actual T. | Required T.| Design Pressure |
M.A.W.P. |
|
|
mm |
mm |
MPa |
MPa |
----------------------------------------------------------------------10|
20|
10.14 |
3.5 |
... |
0.53148 |
20|
30|
12 |
No Calc |
... |
0.45109 |
30|
40|
10.14 |
3.5 |
... |
0.53148 |
----------------------------------------------------------------------Minimum
0.451
External Pressure Calculations:
|
|
Actual Length | Allowable Length | Ring Inertia | Ring Inertia |
From|
To | Bet. Stiffeners | Bet. Stiffeners |
Required |
Available |
|
|
mm |
mm |
mm**4 |
mm**4 |
-------------------------------------------------------------------------------10|
20|
No Calc |
No Calc |
No Calc |
No Calc |
20|
30|
2600 |
No Calc |
No Calc |
No Calc |
30|
40|
No Calc |
No Calc |
No Calc |
No Calc |
-------------------------------------------------------------------------------Elements Suitable for External Pressure.
ASME Code, Section VIII Division 1, 2015
Elliptical Head From 10 to 20 Ext. Chart: CS-2 at 0 °C
BOTTOM HEAD
Elastic Modulus from Chart: CS-2 at 0 °C
: 0.200E+06 MPa
Results for Maximum Allowable External Pressure (MAEP):
Tca
OD
D/t
Factor A
B
9.140
1520.28
166.33
0.0008350
79.56
EMAP = B/(K0*D/t) = 79.56/(0.9 *166.3 ) = 0.531 MPa
Check the requirements of UG-33(a)(1) using P = 1.67 * External Design
pressure for this head.
Material UNS Number:
Max.
=
=
=
K02700
Allowable Working Pressure at given Thickness, corroded [MAWP]:
((2*S*E*t)/(Kcor*D+0.2*t))/1.67 per Appendix 1-4 (c)
((2*137.9*1*9.14)/(0.998*1502+0.2*9.14))/1.67
1.006 MPa
Maximum Allowable External Pressure [MAEP]:
12
= min( MAEP, MAWP )
= min( 0.531, 1.006 )
= 0.531 MPa
Cylindrical Shell From 20 to 30 Ext. Chart: CS-2 at 0 °C
SHELL
Elastic Modulus from Chart: CS-2 at 0 °C
: 0.200E+06 MPa
Results for Maximum Allowable External Pressure (MAEP):
Tca
OD
SLEN
D/t
L/D
Factor A
11.000
1524.00
2600.00
138.55
1.7060 0.0004688
EMAP = (4*B)/(3*(D/t)) = (4*46.87 )/(3*138.5 ) = 0.451 MPa
B
46.87
Results for Maximum Stiffened Length (Slen):
Tca
OD
SLEN
D/t
L/D
Factor A
11.000
1524.00
2600.00
138.55
1.7060 0.0004688
EMAP = (4*B)/(3*(D/t)) = (4*46.87 )/(3*138.5 ) = 0.451 MPa
B
46.87
Elliptical Head From 30 to 40 Ext. Chart: CS-2 at 0 °C
TOP HEAD
Elastic Modulus from Chart: CS-2 at 0 °C
: 0.200E+06 MPa
Results for Maximum Allowable External Pressure (MAEP):
Tca
OD
D/t
Factor A
B
9.140
1520.28
166.33
0.0008350
79.56
EMAP = B/(K0*D/t) = 79.56/(0.9 *166.3 ) = 0.531 MPa
Check the requirements of UG-33(a)(1) using P = 1.67 * External Design
pressure for this head.
Material UNS Number:
Max.
=
=
=
K02700
Allowable Working Pressure at given Thickness, corroded [MAWP]:
((2*S*E*t)/(Kcor*D+0.2*t))/1.67 per Appendix 1-4 (c)
((2*137.9*1*9.14)/(0.998*1502+0.2*9.14))/1.67
1.006 MPa
Maximum Allowable External Pressure [MAEP]:
= min( MAEP, MAWP )
= min( 0.531, 1.006 )
= 0.531 MPa
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
13
Element and Detail Weights:
|
|
Element |
Element | Corroded |
Corroded | Extra due |
From| To | Metal Wgt. | ID Volume |Metal Wgt. | ID Volume | Misc %
|
|
|
kgm |
ltr |
kgm |
ltr |
kgm |
--------------------------------------------------------------------------10| 20|
265.526 |
486.052 |
243.399 |
487.94 |
... |
20| 30|
1016.11 |
4065.16 |
932.046 |
4076.01 |
... |
30| 40|
265.526 |
486.052 |
243.399 |
487.94 |
... |
--------------------------------------------------------------------------Total |
1547 |
5037.27 |
1418 |
5051.89 |
0 |
Weight of Details:
|
| Weight of | X Offset, | Y Offset, |
From|Type|
Detail | Dtl. Cent. |Dtl. Cent. |
|
|
kgm |
mm |
mm |
------------------------------------------------10|Nozl|
0.12546 |
... | -420.002 |
10|Legs|
41.633 |
... |
-196 |
20|Nozl|
184.493 |
953.2 |
475 |
20|Nozl|
6.31065 |
781.75 |
2025 |
20|Nozl|
6.31065 |
781.75 |
275 |
20|Nozl|
0.039277 |
756.35 |
1475 |
30|Nozl|
4.22872 |
... |
475.006 |
-------------------------------------------------
Description
N1
LEGS
N2
N4
N6
N3
N5
Total Weight of Each Detail Type:
Nozzles
201.5
Legs
41.6
------------------------------------------Sum of the Detail Weights
243.1 kgm
Weight Summation Results: (kgm)
| Fabricated | Shop Test |
Shipping |
Erected |
Empty | Operating |
--------------------------------------------------------------------------------------------Main Elements |
1547.2 |
1547.2 |
1547.2 |
1547.2 |
1547.2 |
1547.2 |
Nozzles |
201.5 |
201.5 |
201.5 |
201.5 |
201.5 |
201.5 |
Legs |
41.6 |
41.6 |
41.6 |
41.6 |
41.6 |
41.6 |
Test Liquid |
... |
5034.2 |
... |
... |
... |
... |
--------------------------------------------------------------------------------------------Totals |
1790.3 |
6824.5 |
1790.3 |
1790.3 |
1790.3 |
1790.3 |
Weight Summary:
Fabricated Wt. Shop Test Wt.
Shipping Wt.
Erected Wt.
Ope. Wt. no Liq Operating Wt.
Field Test Wt. Mass of the Upper
Bare Weight without Removable Internals
Fabricated Weight + Water ( Full )
Fab. Weight + removable Intls.+ Shipping App.
Fab. Wt + or - loose items (trays,platforms etc.)
Fab. Weight + Internals. + Details + Weights
Empty Weight + Operating Liq. Uncorroded
Empty Weight + Water (Full)
1/3 of the Vertical Vessel
1790.3
6824.5
1790.3
1790.3
1790.3
1790.3
6824.5
561.2
kgm
kgm
kgm
kgm
kgm
kgm
kgm
kgm
Outside Surface Areas of Elements:
|
|
Surface |
From| To |
Area |
|
|
mm² |
---------------------------10| 20|
2637332 |
20| 30|
11011910 |
14
30| 40|
2637332 |
---------------------------Total
16286577.000 mm²
Element and Detail Weights:
| To | Total Ele.| Total. Ele.|Total. Ele.| Total Dtl.| Oper. Wgt. |
From| To | Empty Wgt.| Oper. Wgt.|Hydro. Wgt.| Offset Mom.| No Liquid |
|
|
kgm |
kgm |
kgm |
N-mm |
kgm |
--------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
... |
Legs| 20|
265.651 |
265.651 |
751.407 |
... |
265.651 |
20| 30|
1213.26 |
1213.26 |
5275.94 |
1822255 |
1213.26 |
30| 40|
269.754 |
269.754 |
755.51 |
... |
269.754 |
--------------------------------------------------------------------------Cumulative Vessel Weight
|
| Cumulative Ope | Cumulative | Cumulative |
From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. |
|
|
kgm |
kgm |
kgm |
------------------------------------------------------10|Legs|
... |
... |
... |
Legs| 20|
1748.67 |
1748.67 |
6782.86 |
20| 30|
1483.01 |
1483.01 |
6031.45 |
30| 40|
269.754 |
269.754 |
755.51 |
------------------------------------------------------Note: The cumulative operating weights no liquid in the column above
are the cumulative operating weights minus the operating liquid
weight minus any weights absent in the empty condition.
Cumulative Vessel Moment
|
| Cumulative | Cumulative |Cumulative |
From| To | Empty Mom. | Oper. Mom. |Hydro. Mom.|
|
|
N-mm |
N-mm |
N-mm |
------------------------------------------------10|Legs|
... |
... |
... |
Legs| 20|
1822255 |
1822255 |
1822255 |
20| 30|
1822255 |
1822255 |
1822255 |
30| 40|
... |
... |
... |
------------------------------------------------PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
15
Nozzle Flange MAWP Results:
Nozzle
Description
|
Flange Rating | Design |
| Grade/ | Equiv. | - - - - - - Max Pressure |
|
Ope. | Ambient |
Temp | Class | Group | Press |
PVP |
50% |
DNV |
|
MPa |
MPa |
°C |
|
|
MPa |
-----------------------------------------------------------------------------------------------N2
|
1.73 |
1.96 |
110 |
150 | GR 1.1 |
... |
... |
... |
... |
N4
|
1.73 |
1.96 |
110 |
150 | GR 1.1 |
... |
... |
... |
... |
N6
|
1.73 |
1.96 |
110 |
150 | GR 1.1 |
... |
... |
... |
... |
N5
|
1.73 |
1.96 |
110 |
150 | GR 1.1 |
... |
... |
... |
... |
-----------------------------------------------------------------------------------------------Min Rating
| 1.732 |
1.960 MPa [for Core Elements]
| 0.000 |
0.000 | 0.000 |
Selected Method for Derating ANSI B16.5 Flange MAWP: None Selected
ANSI Ratings are per ANSI/ASME B16.5 2013 Metric Edition
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
16
The Natural Frequencies for the vessel have been computed iteratively
by solving a system of matrices. These matrices describe the mass
and the stiffness of the vessel. This is the generalized eigenvalue/
eigenvector problem and is referenced in some mathematical texts.
The Natural Frequency for the Vessel (Empty.) is 70.4174 Hz.
The Natural Frequency for the Vessel (Ope...) is 70.4174 Hz.
The Natural Frequency for the Vessel (Filled) is 36.5946 Hz.
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
17
Wind Analysis Results
User Entered Importance Factor is
Gust Factor (Gh, Gbar) Static
Shape Factor (Cf) for the Vessel is
User Entered Basic Wind Speed
Exposure Category
Table Lookup Value Alpha from Table C6
Table Lookup Value Zg from Table C6
Table Lookup Value Do from Table C6
1.000
1.371
0.514
112.7
C
7.0000
900.0000
0.0050
km/hr
Wind Load Results per ASCE-7 93:
Sample Calculation for the First Element:
Rougness Factor = 1
Values [cf1] and [cf2]
Because RoughFact = 1 and DQZ >
Interpolating to find the final
Because H / D < 7.0
CF = CF1 + (CF2-CF1)*( H/D - 1)
= 0.5 + (0.6 -0.5 )*( 1.851 = 0.514
2.5 and H/D < 7.0
cf:
/ (7 - 1)
1)/(7 - 1)
Value of Alpha, Zg is taken from Table C6-2 [Alpha, Zg]
For Exposure Category C:
Alpha = 7, Zg = 274320 mm
Height of Interest for First Element [z]
= Centroid Hgt + Base Height
= 235.1 + 0 = 235.1 mm
but: z = Max(4572, 235.1 ) = 4572 mm
Note: Because z < 15 feet, use 15 feet to compute kz.
Velocity Pressure Coefficient [kZ]:
= 2.58( z/zg )2/Alpha : z is Elevation of First Element
= 2.58( 4572/900 )2/7
= 0.801
Determine if Static or Dynamic Gust Factor Applies
Height to Diameter ratio :
= Maximum Height(length)^2 / Sum of Area of the Elements
= 2735 (^2)/4041080
= 1.851
Vibration Frequency = 70.42 Hz
Because H/D < 5 And Frequency > 1.0: Static Analysis Implemented
The following two calculations allow for any user units
Compute [tz]
= 2.35 * Sqrt(DO / VesselHtg/30(feet)1/Alpha
= 2.35 * Sqrt(0.005/2735 )1/9144
= 0.197
Compute [Gh]
= 0.65 + 3.65 * tz
= 0.65 + 3.65 * 0.197 = 1.371
Wind Pressure - (performed in Imperial Units) [qz]
18
Importance Factor: I = 1
Wind Speed = 112.7 km/hr Converts to 70 mph
qz = 0.00256 * kZ * (I * Vr)²
= 0.00256 * 0.801 *(1 * 70 )² = 10.05 psf
Converts to: 0.481 kPa
Force on the First Element [Fz]
= qz * Gh * CF * Wind Area
= 0.481 * 1.371 * 0.514 * 597449
= 202.5 N
Element
z
GH
Area
qz
Force
mm
mm²
kPa
N
-----------------------------------------------------------------------BOTTOM HEAD
235.1
1.371
597448.6
0.5
202.5
SHELL
1550.0
1.371
4206240.0
0.5
1425.9
TOP HEAD
2875.0
1.371
597448.6
0.5
202.5
Wind Vibration Calculations
This evaluation is based on work by Kanti Mahajan and Ed Zorilla
Nomenclature
Cf
D
Df
Dr
f
f1
L
Lc
tb
V30
Vc
Vw
W
Ws
Z
Dl
Vp
P30
-
Correction factor for natural frequency
Average internal diameter of vessel mm
Damping Factor < 0.75 Unstable, > 0.95 Stable
Average internal diameter of top half of vessel mm
Natural frequency of vibration (Hertz)
Natural frequency of bare vessel based on a unit value of (D/L²)(104)
Total height of structure mm
Total length of conical section(s) of vessel mm
Uncorroded plate thickness at bottom of vessel mm
Design Wind Speed provided by user km/hr
Critical wind velocity km/hr
Maximum wind speed at top of structure km/hr
Total corroded weight of structure N
Cor. vessel weight excl. weight of parts which do not effect stiff. N
Maximum amplitude of vibration at top of vessel mm
Logarithmic decrement ( taken as 0.03 for Welded Structures )
Vib. Chance, <= 0.31416E-05 (High); 0.31416E-05 < 0.39270E-05 (Probable)
wind pressure 30 feet above the base
Check other Conditions and Basic Assumptions:
#1 - Total Cone Length / Total Length < 0.5
0/2350 = 0
#2 - ( D / L² ) * 104 < 8.0 (English Units)
- ( 5/7.71² ) * 104 = 841.1 [Geometry Violation]
Compute the vibration possibility. If Vp > 0.39270E-05 no chance. [Vp]:
= W / ( L * Dr²)
= 16297/( 2350 * 1502² )
= 0.30741E-05
Compute the damping factor Df which is a measure of instability [Df]:
= W * Dl/ ( L * Dr² )
= 16297 * 0.03/( 2350 * 1502² )
= 0.587
Compute the critical wind velocity [Vc]:
= 3.4 * f * Dr
= 3.4 * 70.42 * 4.928
19
= 1179.815 mile/hr
[1898.677 km/hr]
Compute the velocity at the top of the tower [Vw]:
= V30 * ( L / ( 30 + BaseHeight ))0.143
= 112.7 * ( 2350/( 30 + 0 ))^0.143
= 92.759 km/hr
Compute the maximum gust velocity using the gust response factor Gh [Vg]:
= Vw * Gh
= 92.76 * 1.371
= 127.140 km/hr
Since Vc is greater than Vg the dynamic deflection Z, does not
need to be computed.
The Natural Frequency for the Vessel (Ope...) is 70.4174 Hz.
Wind Load Calculation:
|
|
Wind |
Wind |
Wind |
Wind |
Element |
From| To |
Height |
Diameter |
Area | Pressure | Wind Load |
|
|
mm |
mm |
mm² |
kPa |
N |
--------------------------------------------------------------------------10| 20|
235.114 |
1824.34 |
597449 |
0.48101 |
202.533 |
20| 30|
1550 |
1828.8 |
4206240 |
0.48101 |
1425.9 |
30| 40|
2875.03 |
1824.34 |
597449 |
0.48101 |
202.533 |
--------------------------------------------------------------------------PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
20
Earthquake Analysis Results
The
The
The
The
The
The
The
UBC Zone Factor for the Vessel is .............
Importance Factor as Specified by the User is
UBC Frequency and Soil Factor (C) is .........
UBC Force Factor as Specified by the User is ..
UBC Total Weight (W) for the Vessel is ........
UBC Total Shear (V) for the Vessel is .........
UBC Top Shear (Ft) for the Vessel is ..........
0.0000
1.000
2.750
3.000
17147.4
0.0
0.0
N
N
N
The Natural Frequency for the Vessel (Ope...) is 70.4174 Hz.
Earthquake Load Calculation:
|
| Earthquake | Earthquake |
Element |
Element |
From| To |
Height |
Weight | Ope Load |
Emp Load |
|
|
mm |
N |
N |
N |
-------------------------------------------------------------10|Legs|
25 |
... |
... |
... |
Legs| 20|
25 |
2604.97 |
... |
... |
20| 30|
1175 |
11897.2 |
... |
... |
30| 40|
2337.5 |
2645.21 |
... |
... |
-------------------------------------------------------------Top Load
3117.00
0
0
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
21
The following table is for the Operating Case.
Wind/Earthquake Shear, Bending:
|
| Distance to| Cumulative |Earthquake |
Wind | Earthquake |
From| To |
Support| Wind Shear |
Shear |
Bending |
Bending |
|
|
mm |
N |
N |
N-mm |
N-mm |
--------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
... |
Legs| 20|
12.5 |
1830.97 |
... |
2185190 |
... |
20| 30|
1175 |
1628.44 |
... |
2141930 |
... |
30| 40|
2500.03 |
202.533 |
... |
35462.9 |
... |
--------------------------------------------------------------------------Note:
The Wind Shears/Moments and the Earthquake Shears/Moments calculated
and printed in the Wind/Earthquake Shear and Bending report have
been factored by the input Scalar/Load reductions factors of;
Wind: 1.000; Earthquake: 1.000.
Note:
Review the Vessel Design Summary for the cumulative shear force
and bending moment on the support.
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
22
Wind Deflection Calculations:
The following table is for the Operating Case.
Wind Deflection:
|
| Cumulative |
Centroid |
Elem. End |
Elem. Ang. |
From| To | Wind Shear | Deflection |
Deflection |
Rotation |
|
|
N |
mm |
mm |
|
--------------------------------------------------------------------10|Legs|
... | 0.0036371 |
0.0036371 |
0.13918E-04 |
Legs| 20|
1830.97 | 0.0036372 |
0.0036374 |
0.13940E-04 |
20| 30|
1628.44 | 0.0040175 |
0.0047321 |
0.14574E-04 |
30| 40|
202.533 | 0.0047403 |
0.0047485 |
0.14574E-04 |
--------------------------------------------------------------------Critical Wind Velocity for Tower Vibration:
|
| 1st Crit. | 2nd Crit. |
From| To | Wind Speed | Wind Speed |
|
|
km/hr |
km/hr |
------------------------------------10| 20|
2306.14 |
14413.4 |
20| 30|
2311.78 |
14448.7 |
30| 40|
2306.14 |
14413.4 |
------------------------------------Allowable deflection at the Tower Top (Ope)( 6.000"/100ft. Criteria)
Allowable deflection : 11.750
Actual deflection : 0.005 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
23
Longitudinal Stress Constants:
|
|
Metal Area | Metal Area |Section Modulus | Section Modulus |
| To |
New |
Corroded |
New |
Corroded |
|
|
mm² |
mm² |
mm³ |
mm³ |
-------------------------------------------------------------------------------10
| 20|
48106.5 |
43391 |
18041588 |
16294541 |
20
| 30|
57001 |
52285.5 |
21378086 |
19635304 |
30
| 40|
48106.5 |
43391 |
18041588 |
16294541 |
-------------------------------------------------------------------------------From
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
24
Longitudinal Allowable Stresses:
|
|
| Hydrotest
|
| Hydrotest
|
From| To |
Tensile
| Tensile
| Compressive | Compressive |
|
|
MPa |
MPa |
MPa |
MPa |
------------------------------------------------------------------10|Legs|
140.658 |
240.525 |
-116.209 |
-119.36 |
Legs| 20|
140.658 |
240.525 |
-116.209 |
-119.36 |
20| 30|
140.658 |
240.525 |
-121.653 |
-124.077 |
30| 40|
140.658 |
240.525 |
-116.209 |
-119.36 |
------------------------------------------------------------------PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
25
Longitudinal Stress Report
Note: Longitudinal Operating and Empty Stresses are computed in the
corroded condition. Stresses due to loads in the hydrostatic test
cases have been computed in the new and cold condition.
Longitudinal Pressure Stresses due to:
|
| Longitudinal Stress | Longitudinal Stress |Longitudinal Stress |
From| To |
Internal Pressure | External Pressure | Hydrotest Pressure |
|
|
MPa |
MPa |
MPa |
---------------------------------------------------------------------------10| 20|
53.9658 |
... |
63.1183 |
20| 30|
44.796 |
... |
53.2818 |
30| 40|
53.9658 |
... |
63.1183 |
---------------------------------------------------------------------------Longitudinal Stresses due to Weight Loads for these Conditions:
|
| Wght. Str. | Wght. Str. |Wght. Str. | Wght. Str. | Wght. Str. |
From| To |
Empty | Operating |Hydrotest | Emp. Mom. | Opr. Mom. |
|
|
MPa |
MPa |
MPa |
MPa |
MPa |
--------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
... |
Legs| 20|
-0.39522 |
-0.39522 | -0.35648 |
0.1118 |
0.1118 |
20| 30|
-0.27816 |
-0.27816 | -0.25515 |
0.092775 |
0.092775 |
30| 40| -0.060967 | -0.060967 | -0.054991 |
... |
... |
--------------------------------------------------------------------------Longitudinal Stresses due to Weight Loads and Bending for these Conditions:
|
| Wght. Str. | Bend. Str. |Bend. Str. | Bend. Str. | Bend. Str. |
From| To | Hyd. Mom. | Oper. Wind |Oper. Equ. | Hyd. Wind | Hyd. Equ. |
|
|
MPa |
MPa |
MPa |
MPa |
MPa |
--------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
... |
Legs| 20|
0.10097 |
0.13406 |
... |
0.039957 |
... |
20| 30|
0.085212 |
0.10905 |
... |
0.033053 |
... |
30| 40|
... | 0.0021757 |
... | 0.00064845 |
... |
--------------------------------------------------------------------------Longitudinal Stresses due to these Conditions:
|
| Vortex Shedding | Vortex Shedding | Vortex Shedding | Earthquake |
From| To | Operating Case |
Empty Case |
Test Case | Empty Case |
|
|
MPa |
MPa |
MPa |
MPa |
-----------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
Legs| 20|
... |
... |
... |
... |
20| 30|
... |
... |
... |
... |
30| 40|
... |
... |
... |
... |
-----------------------------------------------------------------------------Longitudinal Stresses due to Applied Axial Forces:
|
| Longitudinal Stress | Longitudinal Stress |
From| To |
Y Forces Wind |
Y Forces Seismic |
|
|
MPa |
MPa |
------------------------------------------------------10|Legs|
... |
... |
Legs| 20|
... |
... |
20| 30|
... |
... |
30| 40|
... |
... |
-------------------------------------------------------
26
Longitudinal Stresses due to User Forces and Moments:
|
|Wind For/Mom | Earthquake For/Mom | Wind For/Mom | Earthquake For/Mom |
From| To |
Corroded |
Corroded | No Corrosion |
No Corrosion |
|
|
MPa |
MPa |
MPa |
MPa |
----------------------------------------------------------------------------------10|Legs|
... |
... |
... |
... |
Legs| 20|
... |
... |
... |
... |
20| 30|
... |
... |
... |
... |
30| 40|
... |
... |
... |
... |
----------------------------------------------------------------------------------PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
27
Stress Combination Load Cases for Vertical Vessels:
Load Case Definition Key
IP
EP
HP
NP
EW
OW
HW
WI
EQ
EE
HI
HE
WE
WF
CW
VO
VE
VF
FW
FS
BW
BS
BN
BU
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
Longitudinal Stress due to Internal Pressure
Longitudinal Stress due to External Pressure
Longitudinal Stress due to Hydrotest Pressure
No Pressure
Longitudinal Stress due to Weight (No Liquid)
Longitudinal Stress due to Weight (Operating)
Longitudinal Stress due to Weight (Hydrotest)
Bending Stress due to Wind Moment (Operating)
Bending Stress due to Earthquake Moment (Operating)
Bending Stress due to Earthquake Moment (Empty)
Bending Stress due to Wind Moment (Hydrotest)
Bending Stress due to Earthquake Moment (Hydrotest)
Bending Stress due to Wind Moment (Empty) (no CA)
Bending Stress due to Wind Moment (Filled) (no CA)
Longitudinal Stress due to Weight (Empty) (no CA)
Bending Stress due to Vortex Shedding Loads ( Ope )
Bending Stress due to Vortex Shedding Loads ( Emp )
Bending Stress due to Vortex Shedding Loads ( Test No CA. )
Axial Stress due to Vertical Forces for the Wind Case
Axial Stress due to Vertical Forces for the Seismic Case
Bending Stress due to Lat. Forces for the Wind Case, Corroded
Bending Stress due to Lat. Forces for the Seismic Case, Corroded
Bending Stress due to Lat. Forces for the Wind Case, UnCorroded
Bending Stress due to Lat. Forces for the Seismic Case, UnCorroded
General Notes:
Case types HI and HE are in the Un-Corroded condition.
Case types WE, WF, and CW are in the Un-Corroded condition.
A blank stress and stress ratio indicates that the corresponding
stress comprising those components that did not contribute to that
type of stress.
An asterisk (*) in the final column denotes overstress.
Analysis of Load Case 1 : NP+EW+WI+FW+BW
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.64
20
140.66
-0.48
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0055
0.0039
0.0005
Analysis of Load Case 2 : NP+EW+EE+FS+BS
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.51
20
140.66
-0.37
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0044
0.0030
0.0005
Analysis of Load Case 3 : NP+OW+WI+FW+BW
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.64
20
140.66
-0.48
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0055
0.0039
0.0005
28
Analysis of Load Case 4 : NP+OW+EQ+FS+BS
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.51
20
140.66
-0.37
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0044
0.0030
0.0005
Analysis of Load Case 5 : NP+HW+HI
From
Tensile
All. Tens.
Node
Stress
Stress
10
0.00
240.53
10
240.53
20
240.53
30
240.53
Comp.
Stress
0.00
-0.50
-0.37
-0.06
All. Comp.
Stress
119.36
119.36
124.08
119.36
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0042
0.0030
0.0005
Analysis of Load Case 6 : NP+HW+HE
From
Tensile
All. Tens.
Node
Stress
Stress
10
0.00
240.53
10
240.53
20
240.53
30
240.53
Comp.
Stress
0.00
-0.46
-0.34
-0.05
All. Comp.
Stress
119.36
119.36
124.08
119.36
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0038
0.0027
0.0005
Analysis of Load Case 7 : IP+OW+WI+FW+BW
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
53.97
140.66
10
53.82
140.66
20
44.72
140.66
30
53.91
140.66
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3826
0.3179
0.3832
Comp.
Ratio
Analysis of Load Case 8 : IP+OW+EQ+FS+BS
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
53.97
140.66
10
53.68
140.66
20
44.61
140.66
30
53.90
140.66
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3817
0.3172
0.3832
Comp.
Ratio
Analysis of Load Case 9 : EP+OW+WI+FW+BW
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.64
20
140.66
-0.48
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0055
0.0039
0.0005
Analysis of Load Case 10 : EP+OW+EQ+FS+BS
From
Tensile
All. Tens.
Comp.
Node
Stress
Stress
Stress
10
0.00
140.66
0.00
10
140.66
-0.51
20
140.66
-0.37
30
140.66
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0044
0.0030
0.0005
Analysis of Load Case 11 : HP+HW+HI
From
Tensile
All. Tens.
Node
Stress
Stress
10
63.12
240.53
10
62.90
240.53
20
53.14
240.53
30
63.06
240.53
All. Comp.
Stress
119.36
119.36
124.08
119.36
Tens.
Ratio
0.2624
0.2615
0.2210
0.2622
Comp.
Ratio
Comp.
Stress
29
Analysis of Load Case 12 : HP+HW+HE
From
Tensile
All. Tens.
Node
Stress
Stress
10
63.12
240.53
10
62.86
240.53
20
53.11
240.53
30
63.06
240.53
Analysis of Load Case 13 : IP+WE+EW
From
Tensile
All. Tens.
Node
Stress
Stress
10
53.97
140.66
10
53.68
140.66
20
44.61
140.66
30
53.90
140.66
Analysis of Load Case 14 : IP+WF+CW
From
Tensile
All. Tens.
Node
Stress
Stress
10
53.97
140.66
10
53.61
140.66
20
44.54
140.66
30
53.91
140.66
Analysis of Load Case 15 : IP+VO+OW
From
Tensile
All. Tens.
Node
Stress
Stress
10
53.97
140.66
10
53.68
140.66
20
44.61
140.66
30
53.90
140.66
Analysis of Load Case 16 : IP+VE+EW
From
Tensile
All. Tens.
Node
Stress
Stress
10
53.97
140.66
10
53.68
140.66
20
44.61
140.66
30
53.90
140.66
Analysis of Load Case 17 : NP+VO+OW
From
Tensile
All. Tens.
Node
Stress
Stress
10
0.00
140.66
10
140.66
20
140.66
30
140.66
Analysis of Load Case 18 : FS+BS+IP+OW
From
Tensile
All. Tens.
Node
Stress
Stress
10
53.97
140.66
10
53.68
140.66
20
44.61
140.66
30
53.90
140.66
Analysis of Load Case 19 : FS+BS+EP+OW
From
Tensile
All. Tens.
Node
Stress
Stress
10
0.00
140.66
10
140.66
20
140.66
30
140.66
Comp.
Stress
All. Comp.
Stress
119.36
119.36
124.08
119.36
Tens.
Ratio
0.2624
0.2614
0.2208
0.2622
Comp.
Ratio
Comp.
Stress
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3817
0.3172
0.3832
Comp.
Ratio
Comp.
Stress
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3811
0.3167
0.3833
Comp.
Ratio
Comp.
Stress
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3817
0.3172
0.3832
Comp.
Ratio
Comp.
Stress
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3817
0.3172
0.3832
Comp.
Ratio
Comp.
Stress
0.00
-0.51
-0.37
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0044
0.0030
0.0005
Comp.
Stress
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.3837
0.3817
0.3172
0.3832
Comp.
Ratio
Comp.
Stress
0.00
-0.51
-0.37
-0.06
All. Comp.
Stress
116.21
116.21
121.65
116.21
Tens.
Ratio
0.0000
Comp.
Ratio
0.0000
0.0044
0.0030
0.0005
30
Absolute Maximum of the all of the Stress Ratio's
0.3837
Governing Element: BOTTOM HEAD
Governing Load Case 7 : IP+OW+WI+FW+BW
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
31
Shop/Field Installation Options :
Note : The CG is computed from the first Element From Node
Center of Gravity of Nozzles
Center of Gravity of Legs
590.167 mm
-196.000 mm
Center of Gravity of Bare Shell New and Cold
Center of Gravity of Bare Shell Corroded
1175.000 mm
1175.000 mm
Vessel CG in the Operating Condition
Vessel CG in the Fabricated (Shop/Empty) Condition
Vessel CG in the Test Condition
1069.748 mm
1077.292 mm
1149.368 mm
Rigging Analysis Results:
Lifting Weight based the calculated Empty Weight.
Total Effective Length of Vessel for this analysis
Total vessel weight (No Liquid)
Twt
Impact weight multiplication factor
Imp
Design lifting weight, DWT = Imp * Twt
Elevation of the Tailing Lug (bottom)
Elevation of the Lifting Lug (top
)
Design Reaction force at the tailing lug
Design Reaction force at the lifting lug
CG Distance from Tailing Lug
CG Distance from the Nearer Lifting Lug
2350.00
17963.91
1.50
26945.87
0.00
2400.00
14850.64
12095.23
mm
N
N
mm
mm
N
N
1077.29 mm
1077.29 mm
Critical Values:
| Max Stress|
Elevation
|
Allowables
|
|
MPa
|
mm
|
MPa
|
----------------------------------------------------------------Bending
|
0.12 |
5.00
|
99.47
(UG-23) |
Shear
|
0.15 |
2330.00
|
96.53
(0.7*S) |
Forces and Moments at selected elevations (not all analysis points shown):
Distance
Bending Moment
Bending Stress
Shear Force
Shear Stress
mm
N-mm
MPa
N
MPa
------------------------------------------------------------------------------0.00
0.0
0.0
2202.5
0.0
485.00
476902.0
0.0
941.2
0.0
1405.00
723500.0
0.0
3635.8
0.1
2325.00
556123.8
0.0
6330.4
0.1
Unity Check (Actual Stress / Allowable Stress):
Maximum Unity Check is 0.00116 at elevation 5 mm - Must be <=1
Note: The rigging analysis is performed using a uniformly distributed load.
--- Plot data successfully generated ...---PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
32
Lifting Lug Calculations:
Input Values:
Lifting Lug Material
Lifting Lug Yield Stress
Width of Lifting Lug
Thickness of Lifting Lug
Diameter of Hole in Lifting Lug
Radius of Semi-Circular Arc of Lifting Lug
Height of Lug from bottom to Center of Hole
Offset from Vessel OD to Center of Hole
Lug Fillet Weld Size
Length of weld along side of Lifting Lug
Length of Weld along Bottom of Lifting Lug
Thickness of Collar (if any)
Diameter of Collar (if any)
Impact Factor
Number of Lugs in Group
Yield
w
t
dh
r
h
off
tw
wl
wb
tc
dc
Impfac
SA-516 70
262.01 MPa
166.0000
10.0000
44.0000
42.0000
83.0000
171.0000
8.0000
166.0000
10.0000
0.0000
0.0000
1.50
2
mm
mm
mm
mm
mm
mm
mm
mm
mm
mm
mm
Lifting Lug Orientation to Vessel: Perpendicular
Lift Orientation : From Horizontal to Vertical
PV Elite does not compute weak axis bending forces on the lugs. It is
assumed that a spreader bar is used.
Lifting Lug and Weld Stresses at various Angles: MPa
--------------- Weld Stresses
------ Lug Stresses
Maximum
Angle
Primary Secondary Allowable
Combined Allowable
Ratio
---------------------------------------------------------------------0
20.9
...
104.8
22.5
172.9
0.199
5
21.6
...
104.8
23.6
172.9
0.206
10
22.1
...
104.8
24.5
172.9
0.211
15
22.4
...
104.8
25.1
172.9
0.214
20
22.6
...
104.8
25.6
172.9
0.215
25
22.5
...
104.8
25.8
172.9
0.215
30
22.3
...
104.8
25.8
172.9
0.213
35
21.9
...
104.8
25.6
172.9
0.209
40
21.4
...
104.8
25.1
172.9
0.204
45
20.7
...
104.8
24.4
172.9
0.197
50
19.8
...
104.8
23.6
172.9
0.189
55
18.7
...
104.8
22.5
172.9
0.179
60
17.5
...
104.8
21.2
172.9
0.167
65
16.2
...
104.8
19.6
172.9
0.154
70
14.7
...
104.8
17.9
172.9
0.140
75
13.0
...
104.8
15.9
172.9
0.124
80
11.2
...
104.8
13.6
172.9
0.107
85
9.1
...
104.8
11.1
172.9
0.087
90
6.8
...
104.8
8.1
172.9
0.065
---------------------------------------------------------------------Computed Results:
33
Total vessel weight (No Liquid)
Design Reaction force at the tailing lug
Design Reaction force at the lifting lug
Force Along Vessel Axis
Force Normal to Vessel
Force Tangential to Vessel
17963.91 N
14850.64 N
12095.23 N
Fax
Fn
Ft
6470.49 N
13472.93 N
0.00 N
Circumferential Axis
Ilc
in the Long. Direction Yll
from Lug bottom
Yll_b
Longitudinal Axis
Ill
in the Circ. Direction Ylc
5145625.500
88.656
83.000
14807.227
5.000
Converting the weld leg dimension (tw) to the weld throat dimension.
Weld Group Inertia Calculations:
Weld Group Inertia about the
Weld Group Centroid distance
Dist. of Weld Group Centroid
Weld Group Inertia about the
Weld Group Centroid Distance
mm**4
mm
mm
mm**4
mm
Note: The Impact Factor is applied to the Forces acting on the Lug.
Primary Shear Stress in the Welds due to Shear Loads [Ssll]:
= sqrt( Fax2 + Ft2 + Fn2 )/(( 2 * (wl + wb) ) * tw )
= sqrt(64702+02+134732)/((2*(166+10))*5.656)
= 7.51 MPa
Shear Stress in the Welds due to Bending Loads [Sblf]:
= (Fn(h-Yll_b))Yll/Ilc + (Fax * off * Yll/Ilc) + (Ft * off * Ylc/Ill)
= (13473 (83 -83 ))88.66/5145625 +
(6470 * 171 * 88.66/5145625 ) +
(0 * 171 * 5/14807 )
= 19.07 MPa
Total Shear Stress for Combined Loads [St]:
= Ssll + Sblf
= 7.508 + 19.07
= 26.57 MPa
Allowable Shear Stress for Combined Loads [Sta]:
= 0.4 * Yield * Occfac (AISC Shear Allowable)
= 0.4 * 262 * 1
= 104.80 MPa
Shear Stress
= sqrt(
= sqrt(
= 37.37
in Lug above Hole [Shs]:
Pl2 + Fax2 ) / Sha
134732 + 64702 )/400
MPa
Allowable Shear Stress in Lug above Hole [Sas]:
= 0.4 * Yield * Occfac
= 0.4 * 262 * 1
= 104.80 MPa
Pin Hole Bearing Stress [Pbs]:
= sqrt(Pl2 + Fn2 ) / ( t * dh )
= sqrt( 134732 + 134732 )/( 10 * 44 )
= 33.97 MPa
Allowable Bearing Stress [Pba]:
= min( 0.75 * Yield * Occfac, 0.9 * Yield ) AISC Bearing All.
= min( 0.75 * 262 * 1, 235.8 )
= 196.51 MPa
Bending Stress at the Base of the Lug [Fbs]:
34
= Ft * off/(w * t2/6) + Fax * off/(w2 * t/6)
= 0 * 171/(166 * 102/6) +
6380 * 171/(1662 * 10/6)
= 24.09 MPa
Tensile Stress at the Base of the Lug [Fa]:
= Fn / (w * t)
= 13473/(166 * 10 )
= 8.12 MPa
Total Combined Stress at the Base of the Lug:
= Fbs + Fa
= 24.09 + 8.117
= 32.21 MPa
Lug Allowable Stress for Bending and Tension:
= min( 0.66 * Yield * Occfac, 0.75 * Yield )
= min( 0.66 * 262 * 1, 196.5 )
= 172.93 MPa
Required Shackle Pin Diameter [Spd]:
= sqrt[(2 * sqrt(Fn2 + Fax2)/( Pi * Sta))]
= sqrt[2 * sqrt(134732 + 64702)/( Pi * 104.8 )]
= 9.5287 mm
Shell Stress per EN-13445 16.6.9, Line Loads
Lift
Angle
FL
FLmax
ML
MLmax
FR
FRMax
Max Ratio
deg.
N
N
N-mm
N-mm
N
N
-----------------------------------------------------------------------------------0
0.0
26685.5 1034561.3 2155330.2
6047.6
17912.1
0.480
5
364.4
26685.5 1068725.0 2155330.2
6257.9
16983.1
0.496
10
750.7
26685.5 1092502.8 2155330.2
6430.3
16263.5
0.507
15
1154.7
26685.5 1105837.2 2155330.2
6566.6
15717.1
0.513
20
1572.6
26685.5 1108694.5 2155330.2
6669.0
15319.1
0.514
25
2000.9
26685.5 1101072.4 2155330.2
6740.2
15052.4
0.511
30
2436.7
26685.5 1083000.4 2155330.2
6783.5
14906.3
0.502
35
2877.6
26685.5 1054538.8 2155330.2
6803.0
14875.2
0.489
40
3321.6
26685.5 1015769.8 2155330.2
6803.7
14957.9
0.471
45
3767.6
26685.5
966785.1 2155330.2
6792.2
15157.4
0.449
50
4215.5
26685.5
907663.8 2155330.2
6776.6
15481.8
0.438
55
4666.4
26685.5
838438.1 2155330.2
6767.3
15944.3
0.424
60
5123.4
26685.5
759038.2 2155330.2
6777.7
16565.3
0.409
65
5592.7
26685.5
669200.0 2155330.2
6825.0
17374.2
0.393
70
6084.9
26685.5
568304.1 2155330.2
6932.7
18413.5
0.376
75
6618.7
26685.5
455078.7 2155330.2
7133.3
19744.8
0.361
80
7227.2
26685.5
327001.8 2155330.2
7475.7
21459.8
0.348
85
7972.4
26685.5
178979.4 2155330.2
8040.7
23698.5
0.339
90
8982.0
26685.5
0.0 2155330.2
8982.0
26685.5
0.337
-----------------------------------------------------------------------------------Check Conditions of Applicability per 16.7.3:
a) 0.001 <= en/Deq <= 0.05 -> Ok
c) Fr acts in the plane of the lifting lug -> True
e) 0 <= x <= 0.4 * Di -> Ok
The lift angle above is from horizontal. The angle Beta used in the calculations
is 90 degrees minus the lift angle.
Intermediate Results:
Head Thickness used in Lifting Calculation
Centerline Offset Dimension
[ea]
[x]
9.140 mm
25.000 mm
35
Circumferential Length of Line Load
Head Allowable Stress
Worst Case Evaluation Angle
Head Equivalent Diameter
Parameter
Parameter
Parameter
Parameter
Parameter
Parameter
Parameter
Parameter
Allowable Stress
[b]
[f]
[beta]
[Deq]
[Lambda1]
[Nu1]
[Nu2]
[K1]
[K2]
[K13]
[K14]
[K15]
[Sigmab,all]
166.000
137.900
70.000
1499.375
1.418
0.113
0.000
1.459
1.250
0.787
1.619
1.817
251.480
mm
MPa
mm
MPa
Note: The head was within allowable stress limits during the lifting operation.
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
36
RESULTS FOR LEGS : Operating Case Description: LEGS
Legs attached to: BOTTOM HEAD
Section Properties : I Beam W8X24
USA AISC 1989 Steel Table
Overall Leg Length
Effective Leg Length
Distance Leg Up Side
Number of Legs
Cross Sectional Area
Section Inertia
(
Section Inertia
(
Section Modulus
(
Section Modulus
(
Radius of Gyration (
Radius of Gyration (
392.000
392.000
0.000
Nleg
3
Aleg 4567.732
34463928.000
7617027.000
342489.594
92259.164
86.868
40.894
Leglen
of Vessel
for W8X24
strong axis
weak
axis
strong axis
weak
axis
strong axis
weak
axis
)
)
)
)
)
)
mm
mm
mm
mm²
mm**4
mm**4
mm ³
mm ³
mm
mm
Leg Orientation - Strong Axis
Overturning Moment at top of Legs
Total Weight Load at top of Legs
Total Shear force at top of Legs
Additional force in Leg due to Bracing
Occasional Load Factor
Effective Leg End Condition Factor
2185190.5
17147.4
1831.0
Fadd
0.0
Occfac
1.333
k
1.000
W
N-mm
N
N
N
Note: The Legs are Not Cross Braced
The Leg Shear Force includes Wind and Seismic Effects
Maximum Shear at top of one Leg [Vleg]:
= ( max( Wind, Seismic ) + applied forces )( Imax / Itot )
= ( 1831 )( 34468304/49745700 )
= 1268.66 N
Axial
=
=
=
Compression, Leg furthest from the Neutral Axis [Sma]:
W/Nleg + (Mleg/(Nlegm*Rn))/Aleg
17148/3 + (2184320/( 1 * 872.9 ))/4568
1.80 MPa
Axial
=
=
=
Compression, Leg closest to the Neutral Axis [Sva]:
( W / Nleg ) / Aleg
( 17147/3 )/4568
1.25 MPa
Allowable Comp. for the Selected Leg (KL/r < Cc ) [Sa]:
= Occfac * ( 1-(kl/r)²/(2*Cc²))*Fy /
( 5/3+3*(Kl/r)/(8*Cc)-(Kl/r³)/(8*Cc³)
= 1.333 * ( 1-( 9.586 )²/(2 * 127.2² )) * 248.2/
( 5/3+3*( 9.586 )/(8* 127.2 )-( 9.586³)/(8* 127.2³)
= 194.67 MPa
Bending at the Bottom of the Leg closest to the N.A. [S]:
= ( Vleg * Leglen / Smdsa )
= ( 1269 * 392/342490 )
= 1.45 MPa
Allowable Bending Stress[Sb]:
= ( 0.6 * Fy * Occfac )
= ( 0.6 * 248.2 * 1.333 )
= 198.53 MPa
37
AISC Unity Check [Sc]( must be < or = to 1.00 ) :
= (Sma/Sa)+(0.85*S)/((1-Sma/Spex)*Sb)
= (1.799/194.7 )+( 0.85 *1.452 )/(( 1 -1.799/15195 ) *198.5 )
= 0.0155
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
38
RESULTS FOR LEGS : HydroTest Case Description: LEGS
Legs attached to: BOTTOM HEAD
Section Properties : I Beam W8X24
USA AISC 1989 Steel Table
Overall Leg Length
Effective Leg Length
Distance Leg Up Side
Number of Legs
Cross Sectional Area
Section Inertia
(
Section Inertia
(
Section Modulus
(
Section Modulus
(
Radius of Gyration (
Radius of Gyration (
392.000
392.000
0.000
Nleg
3
Aleg 4567.732
34463928.000
7617027.000
342489.594
92259.164
86.868
40.894
Leglen
of Vessel
for W8X24
strong axis
weak
axis
strong axis
weak
axis
strong axis
weak
axis
)
)
)
)
)
)
mm
mm
mm
mm²
mm**4
mm**4
mm ³
mm ³
mm
mm
Leg Orientation - Strong Axis
Overturning Moment at top of Legs
Total Weight Load at top of Legs
Total Shear force at top of Legs
Additional force in Leg due to Bracing
Occasional Load Factor
Effective Leg End Condition Factor
W
Fadd
Occfac
k
721112.9
66512.7
604.2
0.0
1.333
1.000
N-mm
N
N
N
Note: The Legs are Not Cross Braced
The Leg Shear Force includes Wind and Seismic Effects
Maximum Shear at top of one Leg [Vleg]:
= ( max( Wind, Seismic ) + applied forces )( Imax / Itot )
= ( 604.2 )( 34468304/49745700 )
= 418.66 N
Axial
=
=
=
Compression, Leg furthest from the Neutral Axis [Sma]:
W/Nleg + (Mleg/(Nlegm*Rn))/Aleg
66516/3 + (720826/( 1 * 872.9 ))/4568
5.04 MPa
Axial
=
=
=
Compression, Leg closest to the Neutral Axis [Sva]:
( W / Nleg ) / Aleg
( 66513/3 )/4568
4.85 MPa
Allowable Comp. for the Selected Leg (KL/r < Cc ) [Sa]:
= Occfac * ( 1-(kl/r)²/(2*Cc²))*Fy /
( 5/3+3*(Kl/r)/(8*Cc)-(Kl/r³)/(8*Cc³)
= 1.333 * ( 1-( 9.586 )²/(2 * 127.2² )) * 248.2/
( 5/3+3*( 9.586 )/(8* 127.2 )-( 9.586³)/(8* 127.2³)
= 194.67 MPa
Bending at the Bottom of the Leg closest to the N.A. [S]:
= ( Vleg * Leglen / Smdsa )
= ( 418.7 * 392/342490 )
= 0.48 MPa
Allowable Bending Stress[Sb]:
= ( 0.6 * Fy * Occfac )
= ( 0.6 * 248.2 * 1.333 )
= 198.53 MPa
39
AISC Unity Check [Sc]( must be < or = to 1.00 ) :
= (Sma/Sa)+(0.85*S)/((1-Sma/Spex)*Sb)
= (5.035/194.7 )+( 0.85 *0.479 )/(( 1 -5.035/15195 ) *198.5 )
= 0.0279
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
40
Nozzle Calculation Summary:
Description
|
MAWP |
Ext |
MAPNC | UG-45
[tr] |
Weld |
Areas or |
|
MPa |
|
MPa |
|
mm |
Path |
Stresses |
---------------------------------------------------------------------------------------------N1
|
1.6792 |
... |
... |
OK | 3.51 |
OK | No Calc[*] |
N2
|
1.7019 |
... |
... |
... |
|
OK |
Passed |
N4
|
1.7019 |
... |
... |
OK | 5.52 |
OK | No Calc[*] |
N6
|
1.7019 |
... |
... |
OK | 5.52 |
OK | No Calc[*] |
N3
|
1.7019 |
... |
... |
OK | 2.96 |
OK | No Calc[*] |
N5
|
1.6792 |
... |
... |
OK | 4.42 |
OK | No Calc[*] |
---------------------------------------------------------------------------------------------MAWP Summary:
Minimum MAWP Nozzles
:
1.679 Nozzle : N5
Minimum MAWP Shells/Flanges :
1.679 Element : TOP HEAD
Minimum MAPnc Shells/Flanges :
1.858 Element : SHELL
-------------------------------------------------------------Computed Vessel M.A.W.P.
:
1.679 MPa
[*] - This was a small opening and the areas were not computed or
the MAWP of this connection could not be computed because
the longitudinal bending stress was greater than the hoop stress.
Note: MAWPs (Internal Case) shown above are at the High Point.
Check the Spatial Relationship between the Nozzles
From Node | Nozzle Description | Y Coordinate | Layout Angle |
Dia. Limit |
|
|
mm |
deg |
mm |
-----------------------------------------------------------------------------10 |
N1
|
0.000 |
0.000 |
43.680 |
20 |
N2
|
500.000 |
180.000 |
776.800 |
20 |
N4
|
2050.000 |
90.000 |
105.600 |
20 |
N6
|
300.000 |
270.000 |
105.600 |
20 |
N3
|
1500.000 |
180.000 |
34.700 |
30 |
N5
|
0.000 |
0.000 |
83.440 |
The nozzle spacing is computed by the following:
= Sqrt( ll² + lc² ) where
ll - Arc length along the inside vessel surface in the long. direction.
lc - Arc length along the inside vessel surface in the circ. direction
If any interferences/violations are found, they will be noted below.
No interference violations have been detected !
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
41
Input, Nozzle Desc: N1
From: 10
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
Inside Diameter of Elliptical Head
Aspect Ratio of Elliptical Head
Head Finished (Minimum) Thickness
Head Internal Corrosion Allowance
Head External Corrosion Allowance
D
Ar
t
c
co
1500.00
2.00
10.1400
1.0000
0.0000
mm
Distance from Head Centerline
L1
0.0000
mm
0.00
°C
User Entered Minimum Design Metal Temperature
mm
mm
mm
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
SA-105
K03504
Forgings
137.90 MPa
137.90 MPa
OD
0.00
1.0000
tn
deg
in.
Actual
7.0000 mm
can
E1
En
1.0000
1.00
1.00
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
40.0000
8.0000
9.5000
0.0000
0.0000
mm
mm
mm
mm
mm
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
Insert/Set-in Nozzle No Pad, no Inside projection
Reinforcement CALCULATION, Description: N1
42
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
1.000
0.276
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Elliptical Head, Tr [Int. Press]
= (P*K1*D))/(2*Sv*E-0.2*P) per UG-37(a)(3)
= (1.32*0.899*1502)/(2 *137.9*1-0.2*1.32)
= 6.4678 mm
Reqd thk per App. 1 of Nozzle Wall, Trn
[Int. Press]
= Ro(1 - exp( -P/( Sn*E ))) per Appendix 1-2 (a)(1)
= 12.7(1-exp(-1.32/(137.9*1)))
= 0.1210 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Dl
Parallel to Vessel Wall
Rn+tn+t
Normal to Vessel Wall (Thickness Limit), no pad
Tlnp
43.6800
21.8400
15.0000
mm
mm
mm
Note:
Taking a UG-36(c)(3)(a) exemption for nozzle: N1.
This calculation is valid for nozzles that meet all the requirements of
paragraph UG-36. Please check the Code carefully, especially for nozzles
that are not isolated or do not meet Code spacing requirements. To force
the computation of areas for small nozzles go to Tools->Configuration
and check the box to force the UG-37 small nozzle area calculation or
force the Appendix 1-10 computation in Nozzle Design Options.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures
ta
Wall Thickness per UG16(b),
tr16b
Wall Thickness, shell/head, internal pressure
trb1
Wall Thickness
tb1 = max(trb1, tr16b)
Wall Thickness
tb2 = max(trb2, tr16b)
Wall Thickness per table UG-45
tb3
=
=
=
=
=
=
1.1210
3.5000
8.1828
8.1828
3.5000
3.5100
mm
mm
mm
mm
mm
mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 3.51, max( 8.183, 3.5 ) ]
= 3.5100 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 1.121, 3.51 )
= 3.5100 mm
Available Nozzle Neck Thickness = 7.0000 mm --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 7, tr = 0.121, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0202, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Governing MDMT of all the sub-joints of this Junction
-29 °C
-104 °C
:
-104 °C
43
Weld Size Calculations, Description: N1
Intermediate Calc. for nozzle/shell Welds
Tmin
6.0000
mm
Results Per UW-16.1:
Nozzle Weld
Required Thickness
4.2000 = 0.7 * tmin.
Actual Thickness
5.6560 = 0.7 * Wo mm
Skipping the nozzle attachment weld strength calculations.
Per UW-15(b)(2) the nozzles exempted by UG-36(c)(3)(a)
(small nozzles) do not require a weld strength check.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.6792
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 0.0594 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 50.1994 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
44
Input, Nozzle Desc: N2
From: 20
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
Inside Diameter of Cylindrical Shell
Shell Finished (Minimum) Thickness
Shell Internal Corrosion Allowance
Shell External Corrosion Allowance
D
t
c
co
Distance from Bottom/Left Tangent
User Entered Minimum Design Metal Temperature
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
1500.00
12.0000
1.0000
0.0000
mm
mm
mm
mm
500.00
mm
0.00
°C
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
SA-516 70
K02700
Plate
137.90 MPa
137.90 MPa
OD
180.00
16.0000
tn
deg
in.
Actual
10.0000 mm
Flange Material
Flange Type
SA-105
Weld Neck Flange
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
can
E1
En
1.0000
0.85
0.85
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
180.0000
10.0000
10.0000
0.0000
0.0000
mm
mm
mm
mm
mm
Pad Material
Pad Allowable Stress at Temperature
Pad Allowable Stress At Ambient
Diameter of Pad along vessel surface
Thickness of Pad
Weld leg size between Pad and Shell
Groove weld depth between Pad and Nozzle
Reinforcing Pad Width
This is a Manway or Access Opening.
SA-516 70
137.90
137.90
680.0000
12.0000
10.0000
7.0000
136.8000
MPa
MPa
mm
mm
mm
mm
mm
Sp
Spa
Dp
te
Wp
Wgpn
Class of attached Flange
Grade of attached Flange
150
GR 1.1
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
45
Insert/Set-in Nozzle With Pad, no Inside projection
Reinforcement CALCULATION, Description: N2
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
16.000
0.394
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press]
= (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)
= 7.2302 mm
Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(Sn*E+0.4*P) per Appendix 1-1 (a)(1)
= (1.32*203.2)/(137.9*1+0.4*1.32)
= 1.9376 mm
Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(Sn*E+0.4*P) per Appendix 1-1 (a)(1)
= (1.32*203.2)/(137.9*0.85+0.4*1.32)
= 2.2780 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Dl
Parallel to Vessel Wall, opening length
d
Normal to Vessel Wall (Thickness Limit), pad side Tlwp
776.8000
388.4000
27.5000
mm
mm
mm
Weld Strength Reduction Factor [fr1]:
= min( 1, Sn/Sv )
= min( 1, 137.9/137.9 )
= 1.000
Weld Strength Reduction Factor [fr2]:
= min( 1, Sn/Sv )
= min( 1, 137.9/137.9 )
= 1.000
Weld Strength Reduction Factor [fr4]:
= min( 1, Sp/Sv )
= min( 1, 137.9/137.9 )
= 1.000
Weld Strength Reduction Factor [fr3]:
= min( fr2, fr4 )
= min( 1, 1 )
= 1.000
Results of Nozzle Reinforcement Area Calculations: (mm²)
46
AREA AVAILABLE, A1 to A5
|
Design| External|
Mapnc|
--------------------------------------------------------------Area Required
Ar | 2808.215|
NA|
NA|
Area in Shell
A1 |
823.325|
NA|
NA|
Area in Nozzle Wall
A2 |
388.430|
NA|
NA|
Area in Inward Nozzle
A3 |
0.000|
NA|
NA|
Area in Welds
A41+A42+A43 |
200.000|
NA|
NA|
Area in Element
A5 | 3283.201|
NA|
NA|
TOTAL AREA AVAILABLE
Atot | 4694.956|
NA|
NA|
The Internal Pressure Case Governs the Analysis.
Nozzle Angle Used in Area Calculations
90.00
Degs.
The area available without a pad is Insufficient.
The area available with the given pad is Sufficient.
SELECTION OF POSSIBLE REINFORCING PADS:
Based on given Pad Thickness:
Based on given Pad Diameter:
Based on Shell or Nozzle Thickness:
Area
=
=
=
Diameter
522.7717
680.0001
546.0460
Thickness
12.0000 mm
5.1040 mm
10.0000 mm
Required [A]:
( d * tr*F + 2 * tn * tr*F * (1-fr1) ) UG-37(c)
(388.4*7.23*1+2*9*7.23*1*(1-1))
2808.215 mm²
Reinforcement Areas per Figure UG-37.1
Area Available in Shell [A1]:
= d( E1*t - F*tr ) - 2 * tn( E1*t - F*tr ) * ( 1 - fr1 )
= 388.4 ( 0.85 * 11 - 1 * 7.23 ) - 2 * 9
( 0.85 * 11 - 1 * 7.23 ) * ( 1 - 1 )
= 823.325 mm²
Area Available in Nozzle Wall Projecting Outward [A2]:
= ( 2 * Tlwp ) * ( tn - trn ) * fr2
= ( 2 * 27.5 ) * ( 9 - 1.938 ) * 1
= 388.430 mm²
Area Available in Welds [A41 + A42 + A43]:
= Wo² * fr3 + (Wi-can/0.707)² * fr2 + Wp² * fr4
= 10² * 1 + (0 )² * 1 + 10² * 1
= 200.000 mm²
Area Available in Element [A5]:
= (min(Dp,DL)-(Nozzle OD))*(min(tp,Tlwp,te)) * fr4
= ( 680 - 406.4 ) * 12 * 1
= 3283.201 mm²
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle Neck to Flange Weld, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 10, tr = 2.278, c = 1 mm, E* = 0.85
Thickness Ratio = tr * (E*)/(tg - c) = 0.215, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Nozzle Neck to Pad Weld for the Nozzle, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 10, tr = 2.278, c = 1 mm, E* = 0.85
47
Thickness Ratio = tr * (E*)/(tg - c) = 0.215, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Nozzle Neck to Pad Weld for Reinforcement pad, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 10, tr = 2.278, c = 1 mm, E* = 0.85
Thickness Ratio = tr * (E*)/(tg - c) = 0.215, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Shell to Pad Weld Junction at Pad OD, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 12, tr = 8.515, c = 1 mm, E* = 0.85
Thickness Ratio = tr * (E*)/(tg - c) = 0.658, Temp. Reduction = 19 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Min Metal Temp. w/o impact per UG-20(f)
-23 °C
-42 °C
-29 °C
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 10, tr = 2.278, c = 1 mm, E* = 0.85
Thickness Ratio = tr * (E*)/(tg - c) = 0.215, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Governing MDMT of the Nozzle
Governing MDMT of the Reinforcement Pad
Governing MDMT of all the sub-joints of this Junction
:
:
:
-104 °C
-42 °C
-42 °C
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-b)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-c)
-29 °C
-47 °C
-104 °C
Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is :
Design Pressure/Ambient Rating = 1.32/1.96 = 0.673
Note:
Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT.
Weld Size Calculations, Description: N2
Intermediate Calc. for nozzle/shell Welds
Tmin
Intermediate Calc. for pad/shell Welds
TminPad
9.0000
11.0000
mm
mm
Results Per UW-16.1:
Nozzle Weld
Pad Weld
Required Thickness
6.3000 = 0.7 * tmin.
5.5000 = 0.5*TminPad
Actual Thickness
7.0700 = 0.7 * Wo mm
7.0700 = 0.7 * Wp mm
Weld Strength and Weld Loads per UG-41.1, Sketch (a) or (b)
Weld Load [W]:
= max( 0, (A-A1+2*tn*fr1*(E1*t-tr))Sv)
= max( 0, (2808 - 823.3 + 2 * 9 * 1 *
(0.85 * 11 - 7.23 ) )137.9 )
= 278954.28 N
48
Note: F is always set to 1.0 throughout the calculation.
Weld Load [W1]:
= (A2+A5+A4-(Wi-Can/.707)²*fr2)*Sv
= ( 388.4 + 3283 + 200 - 0 * 1 ) * 137.9
= 533852.44 N
Weld Load [W2]:
= (A2 + A3 + A4 + (2 * tn * t * fr1)) * Sv
= ( 388.4 + 0 + 100 + ( 198 ) ) * 137.9
= 94650.59 N
Weld Load [W3]:
= (A2+A3+A4+A5+(2*tn*t*fr1))*S
= ( 388.4 + 0 + 200 + 3283 + ( 198 ) ) * 137.9
= 561154.31 N
Strength of Connection Elements for Failure Path Analysis
Shear, Outward Nozzle Weld [Sonw]:
= (pi/2) * Dlo * Wo * 0.49 * Snw
= ( 3.142/2.0 ) * 406.4 * 10 * 0.49 * 137.9
= 431317. N
Shear, Pad Element Weld [Spew]:
= (pi/2) * DP * WP * 0.49 * SEW
= ( 3.142/2.0 ) * 680 * 10 * 0.49 * 137.9
= 721693. N
Shear, Nozzle Wall [Snw]:
= (pi *( Dlr + Dlo )/4 ) * ( Thk - Can ) * 0.7 * Sn
= (3.142 * 198.7 ) * ( 10 - 1 ) * 0.7 * 137.9
= 542270. N
Tension, Pad Groove Weld [Tpgw]:
= ( pi/2) * Dlo * Wgpn * 0.74 * Seg
= (3.142/2 ) * 406.4 * 7 * 0.74 * 137.9
= 455964. N
Tension, Shell Groove Weld [Tngw]:
= (pi/2) * Dlo * (Wgnvi-Cas) * 0.74 * Sng
= ( 3.142/2.0 ) * 406.4 * ( 10 - 1 ) * 0.74 * 137.9
= 586240. N
Strength of Failure Paths:
PATH11 = (
PATH22 = (
= (
PATH33 = (
= (
SPEW +
Sonw +
431317
Spew +
721693
SNW ) = ( 721693 + 542270 ) = 1263962 N
Tpgw + Tngw + Sinw )
+ 455964 + 586240 + 0 ) = 1473521 N
Tngw + Sinw )
+ 586240 + 0 ) = 1307932 N
Summary of Failure Path Calculations:
Path 1-1 = 1263962 N , must exceed W = 278954 N
Path 2-2 = 1473521 N , must exceed W = 278954 N
Path 3-3 = 1307932 N , must exceed W = 278954 N
or W1 = 533852 N
or W2 = 94650 N
or W3 = 561154 N
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.7019
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 28.0514 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 220.0514 mm
49
Percent Elongation Calculations:
% Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro))
2.523 %
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
50
Input, Nozzle Desc: N4
From: 20
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
Inside Diameter of Cylindrical Shell
Shell Finished (Minimum) Thickness
Shell Internal Corrosion Allowance
Shell External Corrosion Allowance
D
t
c
co
Distance from Bottom/Left Tangent
User Entered Minimum Design Metal Temperature
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
1500.00
12.0000
1.0000
0.0000
mm
mm
mm
mm
2050.00
mm
0.00
°C
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
OD
90.00
2.5000
tn
Flange Material
Flange Type
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
SA-105
K03504
Forgings
137.90 MPa
137.90 MPa
deg
in.
Actual
6.3500 mm
SA-105
Slip on
can
E1
En
1.0000
0.85
1.00
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
150.0000
8.0000
10.0000
0.0000
0.0000
mm
mm
mm
mm
mm
Class of attached Flange
Grade of attached Flange
150
GR 1.1
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
51
Insert/Set-in Nozzle No Pad, no Inside projection
Reinforcement CALCULATION, Description: N4
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
2.500
0.250
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press]
= (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)
= 7.2302 mm
Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(Sn*E+0.4*P) per Appendix 1-1 (a)(1)
= (1.32*31.75)/(137.9*1+0.4*1.32)
= 0.3028 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Parallel to Vessel Wall, opening length
Normal to Vessel Wall (Thickness Limit), no pad
Dl
d
Tlnp
105.6000
52.8000
13.3750
mm
mm
mm
Note:
Taking a UG-36(c)(3)(a) exemption for nozzle: N4.
This calculation is valid for nozzles that meet all the requirements of
paragraph UG-36. Please check the Code carefully, especially for nozzles
that are not isolated or do not meet Code spacing requirements. To force
the computation of areas for small nozzles go to Tools->Configuration
and check the box to force the UG-37 small nozzle area calculation or
force the Appendix 1-10 computation in Nozzle Design Options.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures
ta
Wall Thickness per UG16(b),
tr16b
Wall Thickness, shell/head, internal pressure
trb1
Wall Thickness
tb1 = max(trb1, tr16b)
Wall Thickness
tb2 = max(trb2, tr16b)
Wall Thickness per table UG-45
tb3
=
=
=
=
=
=
1.3028
3.5000
8.2302
8.2302
3.5000
5.5200
mm
mm
mm
mm
mm
mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 5.52, max( 8.23, 3.5 ) ]
= 5.5200 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 1.303, 5.52 )
= 5.5200 mm
Available Nozzle Neck Thickness = 6.3500 mm --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle Neck to Flange Weld, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 6.35, tr = 0.303, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0566, Temp. Reduction = 78 °C
52
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 6.35, tr = 0.303, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0566, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Governing MDMT of all the sub-joints of this Junction
-29 °C
-104 °C
:
-104 °C
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-b)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-c)
-29 °C
-47 °C
-104 °C
Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is :
Design Pressure/Ambient Rating = 1.32/1.96 = 0.673
Note:
Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT.
Weld Size Calculations, Description: N4
Intermediate Calc. for nozzle/shell Welds
Tmin
5.3500
mm
Results Per UW-16.1:
Nozzle Weld
Required Thickness
3.7450 = 0.7 * tmin.
Actual Thickness
5.6560 = 0.7 * Wo mm
Skipping the nozzle attachment weld strength calculations.
Per UW-15(b)(2) the nozzles exempted by UG-36(c)(3)(a)
(small nozzles) do not require a weld strength check.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.7019
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 0.6723 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6723 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
53
Input, Nozzle Desc: N6
From: 20
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
Inside Diameter of Cylindrical Shell
Shell Finished (Minimum) Thickness
Shell Internal Corrosion Allowance
Shell External Corrosion Allowance
D
t
c
co
Distance from Bottom/Left Tangent
User Entered Minimum Design Metal Temperature
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
1500.00
12.0000
1.0000
0.0000
mm
mm
mm
mm
300.00
mm
0.00
°C
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
OD
270.00
2.5000
tn
Flange Material
Flange Type
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
SA-105
K03504
Forgings
137.90 MPa
137.90 MPa
deg
in.
Actual
6.3500 mm
SA-105
Slip on
can
E1
En
1.0000
0.85
1.00
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
150.0000
8.0000
10.0000
0.0000
0.0000
mm
mm
mm
mm
mm
Class of attached Flange
Grade of attached Flange
150
GR 1.1
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
54
Insert/Set-in Nozzle No Pad, no Inside projection
Reinforcement CALCULATION, Description: N6
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
2.500
0.250
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press]
= (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)
= 7.2302 mm
Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(Sn*E+0.4*P) per Appendix 1-1 (a)(1)
= (1.32*31.75)/(137.9*1+0.4*1.32)
= 0.3028 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Parallel to Vessel Wall, opening length
Normal to Vessel Wall (Thickness Limit), no pad
Dl
d
Tlnp
105.6000
52.8000
13.3750
mm
mm
mm
Note:
Taking a UG-36(c)(3)(a) exemption for nozzle: N6.
This calculation is valid for nozzles that meet all the requirements of
paragraph UG-36. Please check the Code carefully, especially for nozzles
that are not isolated or do not meet Code spacing requirements. To force
the computation of areas for small nozzles go to Tools->Configuration
and check the box to force the UG-37 small nozzle area calculation or
force the Appendix 1-10 computation in Nozzle Design Options.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures
ta
Wall Thickness per UG16(b),
tr16b
Wall Thickness, shell/head, internal pressure
trb1
Wall Thickness
tb1 = max(trb1, tr16b)
Wall Thickness
tb2 = max(trb2, tr16b)
Wall Thickness per table UG-45
tb3
=
=
=
=
=
=
1.3028
3.5000
8.2302
8.2302
3.5000
5.5200
mm
mm
mm
mm
mm
mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 5.52, max( 8.23, 3.5 ) ]
= 5.5200 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 1.303, 5.52 )
= 5.5200 mm
Available Nozzle Neck Thickness = 6.3500 mm --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle Neck to Flange Weld, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 6.35, tr = 0.303, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0566, Temp. Reduction = 78 °C
55
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 6.35, tr = 0.303, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0566, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Governing MDMT of all the sub-joints of this Junction
-29 °C
-104 °C
:
-104 °C
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-b)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-c)
-29 °C
-47 °C
-104 °C
Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is :
Design Pressure/Ambient Rating = 1.32/1.96 = 0.673
Note:
Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT.
Weld Size Calculations, Description: N6
Intermediate Calc. for nozzle/shell Welds
Tmin
5.3500
mm
Results Per UW-16.1:
Nozzle Weld
Required Thickness
3.7450 = 0.7 * tmin.
Actual Thickness
5.6560 = 0.7 * Wo mm
Skipping the nozzle attachment weld strength calculations.
Per UW-15(b)(2) the nozzles exempted by UG-36(c)(3)(a)
(small nozzles) do not require a weld strength check.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.7019
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 0.6723 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6723 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
56
Input, Nozzle Desc: N3
From: 20
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
Inside Diameter of Cylindrical Shell
Shell Finished (Minimum) Thickness
Shell Internal Corrosion Allowance
Shell External Corrosion Allowance
D
t
c
co
Distance from Bottom/Left Tangent
User Entered Minimum Design Metal Temperature
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
1500.00
12.0000
1.0000
0.0000
mm
mm
mm
mm
1500.00
mm
0.00
°C
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
SA-105
K03504
Forgings
137.90 MPa
137.90 MPa
OD
180.00
0.5000
tn
deg
in.
Actual
6.3500 mm
can
E1
En
1.0000
0.85
1.00
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
40.0000
8.0000
10.0000
0.0000
0.0000
mm
mm
mm
mm
mm
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
Insert/Set-in Nozzle No Pad, no Inside projection
Reinforcement CALCULATION, Description: N3
57
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
0.500
0.250
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press]
= (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1)
= (1.32*751)/(137.9*1-0.6*1.32)
= 7.2302 mm
Reqd thk per App. 1 of Nozzle Wall, Trn
[Int. Press]
= Ro(1 - exp( -P/( Sn*E ))) per Appendix 1-2 (a)(1)
= 6.35(1-exp(-1.32/(137.9*1)))
= 0.0605 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Dl
Parallel to Vessel Wall
Rn+tn+t
Normal to Vessel Wall (Thickness Limit), no pad
Tlnp
34.7000
17.3500
13.3750
mm
mm
mm
Note:
Taking a UG-36(c)(3)(a) exemption for nozzle: N3.
This calculation is valid for nozzles that meet all the requirements of
paragraph UG-36. Please check the Code carefully, especially for nozzles
that are not isolated or do not meet Code spacing requirements. To force
the computation of areas for small nozzles go to Tools->Configuration
and check the box to force the UG-37 small nozzle area calculation or
force the Appendix 1-10 computation in Nozzle Design Options.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures
ta
Wall Thickness per UG16(b),
tr16b
Wall Thickness, shell/head, internal pressure
trb1
Wall Thickness
tb1 = max(trb1, tr16b)
Wall Thickness
tb2 = max(trb2, tr16b)
Wall Thickness per table UG-45
tb3
=
=
=
=
=
=
1.0605
3.5000
8.2302
8.2302
3.5000
2.9558
mm
mm
mm
mm
mm
mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 2.956, max( 8.23, 3.5 ) ]
= 2.9558 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 1.06, 2.956 )
= 2.9558 mm
Available Nozzle Neck Thickness = 6.3500 mm --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 6.35, tr = 0.0605, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0113, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Governing MDMT of all the sub-joints of this Junction
-29 °C
-104 °C
:
-104 °C
58
Weld Size Calculations, Description: N3
Intermediate Calc. for nozzle/shell Welds
Tmin
5.3500
mm
Results Per UW-16.1:
Nozzle Weld
Required Thickness
3.7450 = 0.7 * tmin.
Actual Thickness
5.6560 = 0.7 * Wo mm
Skipping the nozzle attachment weld strength calculations.
Per UW-15(b)(2) the nozzles exempted by UG-36(c)(3)(a)
(small nozzles) do not require a weld strength check.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.7019
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 0.0269 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 52.0269 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
59
Input, Nozzle Desc: N5
From: 30
Pressure for Reinforcement Calculations
Temperature for Internal Pressure
P
Temp
Shell Material
Shell Allowable Stress at Temperature
Shell Allowable Stress At Ambient
Sv
Sva
1.3200
110
MPa
°C
SA-516 70
137.90 MPa
137.90 MPa
Inside Diameter of Elliptical Head
Aspect Ratio of Elliptical Head
Head Finished (Minimum) Thickness
Head Internal Corrosion Allowance
Head External Corrosion Allowance
D
Ar
t
c
co
1500.00
2.00
10.1400
1.0000
0.0000
mm
Distance from Head Centerline
L1
0.0000
mm
0.00
°C
User Entered Minimum Design Metal Temperature
mm
mm
mm
Type of Element Connected to the Shell : Nozzle
Material
Material UNS Number
Material Specification/Type
Allowable Stress at Temperature
Allowable Stress At Ambient
Sn
Sna
Diameter Basis (for tr calc only)
Layout Angle
Diameter
Size and Thickness Basis
Actual Thickness
OD
0.00
2.0000
tn
Flange Material
Flange Type
Corrosion Allowance
Joint Efficiency of Shell Seam at Nozzle
Joint Efficiency of Nozzle Neck
SA-105
K03504
Forgings
137.90 MPa
137.90 MPa
deg
in.
Actual
5.5400 mm
SA-105
Slip on
can
E1
En
1.0000
1.00
1.00
mm
Outside Projection
ho
Weld leg size between Nozzle and Pad/Shell
Wo
Groove weld depth between Nozzle and Vessel Wgnv
Inside Projection
h
Weld leg size, Inside Element to Shell
Wi
150.0000
8.0000
9.5000
0.0000
0.0000
mm
mm
mm
mm
mm
Class of attached Flange
Grade of attached Flange
150
GR 1.1
The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
60
Insert/Set-in Nozzle No Pad, no Inside projection
Reinforcement CALCULATION, Description: N5
ASME Code, Section VIII, Div. 1, 2015, UG-37 to UG-45
Actual Outside Diameter Used in Calculation
Actual Thickness Used in Calculation
2.000
0.218
in.
in.
Nozzle input data check completed without errors.
Reqd thk per UG-37(a) of Elliptical Head, Tr [Int. Press]
= (P*K1*D))/(2*Sv*E-0.2*P) per UG-37(a)(3)
= (1.32*0.899*1502)/(2 *137.9*1-0.2*1.32)
= 6.4678 mm
Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(Sn*E+0.4*P) per Appendix 1-1 (a)(1)
= (1.32*25.4)/(137.9*1+0.4*1.32)
= 0.2422 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit)
Parallel to Vessel Wall, opening length
Normal to Vessel Wall (Thickness Limit), no pad
Dl
d
Tlnp
83.4400
41.7200
11.3500
mm
mm
mm
Note:
Taking a UG-36(c)(3)(a) exemption for nozzle: N5.
This calculation is valid for nozzles that meet all the requirements of
paragraph UG-36. Please check the Code carefully, especially for nozzles
that are not isolated or do not meet Code spacing requirements. To force
the computation of areas for small nozzles go to Tools->Configuration
and check the box to force the UG-37 small nozzle area calculation or
force the Appendix 1-10 computation in Nozzle Design Options.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures
ta
Wall Thickness per UG16(b),
tr16b
Wall Thickness, shell/head, internal pressure
trb1
Wall Thickness
tb1 = max(trb1, tr16b)
Wall Thickness
tb2 = max(trb2, tr16b)
Wall Thickness per table UG-45
tb3
=
=
=
=
=
=
1.2422
3.5000
8.1828
8.1828
3.5000
4.4200
mm
mm
mm
mm
mm
mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 4.42, max( 8.183, 3.5 ) ]
= 4.4200 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 1.242, 4.42 )
61
= 4.4200 mm
Available Nozzle Neck Thickness = 5.5400 mm --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
Nozzle Neck to Flange Weld, Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 5.54, tr = 0.242, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0533, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
-29 °C
-104 °C
Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B
---------------------------------------------------------------------Govrn. thk, tg = 5.54, tr = 0.242, c = 1 mm, E* = 1
Thickness Ratio = tr * (E*)/(tg - c) = 0.0533, Temp. Reduction = 78 °C
Min Metal Temp. w/o impact per UCS-66, Curve B
Min Metal Temp. at Required thickness (UCS 66.1)
Governing MDMT of all the sub-joints of this Junction
-29 °C
-104 °C
:
-104 °C
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-b)
Flange MDMT with Temp reduction per UCS-66(b)(1)(-c)
-29 °C
-47 °C
-104 °C
Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is :
Design Pressure/Ambient Rating = 1.32/1.96 = 0.673
Note:
Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT.
Weld Size Calculations, Description: N5
Intermediate Calc. for nozzle/shell Welds
Tmin
4.5400
mm
Results Per UW-16.1:
Nozzle Weld
Required Thickness
3.1780 = 0.7 * tmin.
Actual Thickness
5.6560 = 0.7 * Wo mm
Skipping the nozzle attachment weld strength calculations.
Per UW-15(b)(2) the nozzles exempted by UG-36(c)(3)(a)
(small nozzles) do not require a weld strength check.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case
1.6792
MPa
Note: The MAWP of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 0.2375 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 160.3775 mm
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
62
Nozzle Schedule:
Nominal or |
Schd |
Flg |
Nozzle |
Wall | Reinforcing Pad |
Cut |
Flg |
Actual | or FVC | Type |
O/Dia |
Thk | Diameter
Thk | Length |
Class |
Description
Size |
Type |
|
in
|
mm |
mm
mm |
mm |
|
--------------------------------------------------------------------------------------------------N3
| 0.500 in | Actual | None|
0.500 |
6.350 |
... |
... | 52.03 |
...
|
N1
| 1.000 in | Actual | None|
1.000 |
7.000 |
... |
... | 50.20 |
...
|
N5
| 2.000 in | Actual |SlipOn|
2.000 |
5.540 |
... |
... | 160.38 |
150
|
N4
| 2.500 in | Actual |SlipOn|
2.500 |
6.350 |
... |
... | 162.67 |
150
|
N6
| 2.500 in | Actual |SlipOn|
2.500 |
6.350 |
... |
... | 162.67 |
150
|
N2
| 16.000 in | Actual |
WNF| 16.000 | 10.000 | 680.00 | 12.00 | 220.05 |
150
|
General Notes for the above table:
The Cut Length is the Outside Projection + Inside Projection + Drop +
In Plane Shell Thickness. This value does not include weld gaps,
nor does it account for shrinkage.
In the case of Oblique Nozzles, the Outside Diameter must
be increased. The Re-Pad WIDTH around the nozzle is calculated as follows:
Width of Pad = (Pad Outside Dia. (per above) - Nozzle Outside Dia.)/2
For hub nozzles, the thickness and diameter shown are those of the smaller
and thinner section.
Nozzle Material and Weld Fillet Leg Size Details (mm):
|
| Shl Grve | Noz Shl/Pad |
Pad OD |
Pad Grve |
Inside |
Description |
Material |
Weld |
Weld |
Weld |
Weld |
Weld |
----------------------------------------------------------------------------------------------N3
|
SA-105 |
10.000 |
8.000 |
... |
... |
... |
N1
|
SA-105 |
9.500 |
8.000 |
... |
... |
... |
N5
|
SA-105 |
9.500 |
8.000 |
... |
... |
... |
N4
|
SA-105 |
10.000 |
8.000 |
... |
... |
... |
N6
|
SA-105 |
10.000 |
8.000 |
... |
... |
... |
N2
|
SA-516 70 |
10.000 |
10.000 |
10.000 |
7.000 |
... |
Note: The Outside projections below do not include the flange thickness.
Nozzle Miscellaneous Data:
|
Elev/Distance |
Layout |
Proj |
Proj |
Installed in |
|
From Datum |
Angle |
Outside | Inside |
Component |
|
mm |
deg |
mm |
mm |
|
--------------------------------------------------------------------------------------------N3
|
1500.000 |
180.0 |
40.00 |
0.00 |
SHELL |
N1
|
... |
0.0 |
40.00 |
0.00 |
BOTTOM HEAD |
N5
|
... |
0.0 |
150.00 |
0.00 |
TOP HEAD |
N4
|
2050.000 |
90.0 |
150.00 |
0.00 |
SHELL |
N6
|
300.000 |
270.0 |
150.00 |
0.00 |
SHELL |
N2
|
500.000 |
180.0 |
180.00 |
0.00 |
SHELL |
Description
Weld Sizes for Slip On/Socket Weld Nozzle Flanges per UW-21:
63
Nozzle to Flange Fillet Weld Leg dimension [xmin]:
= min( 1.4 * tn, Hub Thickness )
The Nozzle Wall thicknesses shown below are in the corroded condition. Hubs
are considered to be straight.
Nominal or Actual |
Schd | Flg |
Noz. |
Wall |
Hub | Throat |
xmin |
Description
Size | or FVC | Type |
O/Dia |
Thk |
Thk |
Thk |
Thk |
|
Type |
|
in
|
mm |
mm |
mm |
mm |
--------------------------------------------------------------------------------------------N5
2.000 in | Actua |SlipOn|
2.000 |
4.540 | 7.874 | 4.449 |
6.356 |
N4
2.500 in | Actua |SlipOn|
2.500 |
5.350 | 7.874 | 5.243 |
7.490 |
N6
2.500 in | Actua |SlipOn|
2.500 |
5.350 | 7.874 | 5.243 |
7.490 |
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
64
Minimum Design Metal Temperature Results Summary :
Curve
Basic Reduced UG-20(f) Thickness
Gov
E*
PWHT
MDMT
MDMT
MDMT
ratio
Thk
reqd
Notes
°C
°C
°C
mm
----------------------------------------------------------------------------------BOTTOM HEAD [10]
B
-28
-28
-29
1.000 10.140
1.00
No
BOTTOM HEAD
[7]
B
-23
-32
-29
0.837 12.000
1.00
No
SHELL
[8]
B
-23
-32
-29
0.839 12.000
0.85
No
TOP HEAD
[10]
B
-28
-28
-29
1.000 10.140
1.00
No
TOP HEAD
[7]
B
-23
-32
-29
0.837 12.000
1.00
No
N1
[1]
B
-29
-104
-29
0.020
7.000
1.00
No
N2
[1]
B
-23
-42
-29
0.658 12.000
0.85
No
Nozzle Flg
[4]
B
-29
-104
N4
[1]
B
-29
-104
0.057
6.350
1.00
No
Nozzle Flg
[4]
B
-29
-104
N6
[1]
B
-29
-104
0.057
6.350
1.00
No
Nozzle Flg
[4]
B
-29
-104
N3
[1]
B
-29
-104
-29
0.011
6.350
1.00
No
N5
[1]
B
-29
-104
0.053
5.540
1.00
No
Nozzle Flg
[4]
B
-29
-104
----------------------------------------------------------------------------------Warmest MDMT:
-23
-28
Description
Required Minimum Design Metal Temperature
Warmest Computed Minimum Design Metal Temperature
0.0
-29.0
°C
°C
Notes:
[ ! ] - This was an impact tested material.
[ 1] - Governing Nozzle Weld.
[ 4] - ANSI Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-c).
[ 5] - ANSI Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-b).
[ 6] - MDMT Calculations at the Shell/Head Joint.
[ 7] - MDMT Calculations for the Straight Flange.
[ 8] - Cylinder/Cone/Flange Junction MDMT.
[ 9] - Calculations in the Spherical Portion of the Head.
[10] - Calculations in the Knuckle Portion of the Head.
[11] - Calculated (Body Flange) Flange MDMT.
[12] - Calculated Flat Head MDMT per UCS-66.3
[13] - Tubesheet MDMT, shell side, if applicable
[14] - Tubesheet MDMT, tube side, if applicable
[15] - Nozzle Material
[16] - Shell or Head Material
[17] - Impact Testing required
[18] - Impact Testing not required, see UCS-66(b)(3)
[20] - Cylinder/Cone Junction MDMT based on Longitudinal Stress considerations
[21] - Bolting Material
UG-84(b)(2) was not considered.
UCS-66(g) was not considered.
UCS-66(i) was not considered.
Notes:
Impact test temps were not entered in and not considered in the analysis.
UCS-66(i) applies to impact tested materials not by specification and
UCS-66(g) applies to materials impact tested per UG-84.1 General Note (c).
The Basic MDMT includes the (30F) PWHT credit if applicable.
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
65
ASME Code, Section VIII Division 1, 2015
Diameter Spec : 1500.000 mm ID
Vessel Design Length, Tangent to Tangent
2350.00
mm
0.00
0.00
mm
mm
Internal Design Temperature
Internal Design Pressure
110
1.320
°C
MPa
External Design Temperature
0
Distance of Bottom Tangent above Grade
Specified Datum Line Distance
°C
Maximum Allowable Working Pressure
Hydrostatic Test Pressure
1.679
1.716
MPa
MPa
Required Minimum Design Metal Temperature
Warmest Computed Minimum Design Metal Temperature
0.0
-29.0
°C
°C
Wind Design Code
Earthquake Design Code
ASCE-93
UBC-94
Materials of Construction:
Component |
|
|
|
|Normal | Impact |
Type |
Material | Class |
Thickness |
UNS # | ized | Tested |
---------------------------------------------------------------------------------------------Shell |
SA-516 70 |
... |
... | K02700 |
No |
No |
Head |
SA-516 70 |
... |
... | K02700 |
No |
No |
Nozzle |
SA-105 |
... |
... | K03504 |
No |
No |
Nozzle |
SA-516 70 |
... |
... | K02700 |
No |
No |
Re-Pad |
SA-516 70 |
... |
... | K02700 |
No |
No |
Nozzle Flg |
SA-105 |
... |
... | K03504 |
No |
No |
Leg Baseplate |
SA-516 70 |
... |
... | K02700 |
No |
No |
Leg Bolting |
SA-307 B |
... |
... |
|
No |
No |
Normalized is determined based on the UCS-66 material curve selection and Figure UCS-66.
Impact Tested is based on material selection and material data properties.
Element Pressures and MAWP (MPa & mm):
|
Design |
|
|
| Str. |
In |
Element Description |
Pressure |
Ext. |
Element |
Corrosion | Flg. | Creep |
or Type | + Stat. head | Press. |
M.A.W.P |
Allowance | Gov. | Range |
-------------------------------------------------------------------------------------------BOTTOM HEAD |
1.320 |
0.00 |
1.679 |
1.0000 |
No |
No |
SHELL |
1.320 |
0.00 |
1.702 |
1.0000 | N/A |
No |
TOP HEAD |
1.320 |
0.00 |
1.679 |
1.0000 |
No |
No |
Element Types and Properties:
Element |"To" Elev | Element | Nominal | Finished | Reqd Thk | Reqd Thk |
Long |
Circ |
|
|
Length |Thickness |Thickness | Internal | External |
Eff |
Eff |
Type |
mm |
mm |
mm |
mm |
mm |
mm |
|
|
-----------------------------------------------------------------------------------------------Ellipse |
25.0 |
25.0 |
12.0 |
10.1 |
8.2 |
3.5 |
1.00 |
0.85 |
Cylinder |
2325.0 |
2300.0 |
12.0 |
12.0 |
9.5 |
... |
0.85 |
0.85 |
Ellipse |
2350.0 |
25.0 |
12.0 |
10.1 |
8.2 |
3.5 |
1.00 |
0.85 |
Loads for Foundation/Support Design:
Total Wind Shear on top of all Legs
Total Wind Moment at top of all Legs
1831.
2185190.
N
N-mm
66
Max.
Max.
Max.
Max.
Wind Shear on one Leg (top & bottom)
Wind Moment at base of one Leg
Vertical Load (Wt. + Wind) on one Leg
Vertical Load (Wt. + Eq.) on one Leg
1269.
497516.
8218.
5716.
N
N-mm
N
N
1790.3
6824.5
1790.3
1790.3
1790.3
1790.3
6824.5
kgm
kgm
kgm
kgm
kgm
kgm
kgm
Note: The Wind and Seismic loads were not load factored in this analysis.
Note:
Wind and Earthquake moments include the effects of user defined
forces and moments if any exist in the job and were specified
to act (compute loads and stresses) during these cases. Also
included are moment effects due to eccentric weights if any are
present in the input.
Weights:
Fabricated
Shop Test
Shipping
Erected
Empty
Operating
Field Test
-
Bare W/O Removable Internals
Fabricated + Water ( Full )
Fab. + Rem. Intls.+ Shipping App.
Fab. + Rem. Intls.+ Insul. (etc)
Fab. + Intls. + Details + Wghts.
Empty + Operating Liquid (No CA)
Empty Weight + Water (Full)
PV Elite is a trademark of Hexagon AB, 2022, All rights reserved.
67