LIST OF CONTENTS
1
INTRODUCTION
3
1.1
Project Background
3
1.2
Reference Drawing
3
1.3
Abbreviations
3
2
SUMMARY OF WORKS
4
2.1
Methodology
4
2.2
HOLDS
4
2.3
Assumptions
4
3
SUMMARY OF RESULTS
5
4
LEGISLATION, CODES, STANDARDS & REFERENCES
5
4.1
General
5
4.2 Shell Group Standards (DEP ver. 34)
5
4.3
International standards
5
4.4
Handbook
6
4.5
Language unit of measurements
6
5
CALCULATION SHEET
6
5.1
Lifting Beam Calculation For Jack Up
6
5.2
Beam Reinforcement Pad Calculation
13
5.3
Opening Stiffener Calculation
22
5.4
Clean Out Door Opening
33
LIST OF CONTENTS
1
INTRODUCTION
3
1.1
Project Background
3
1.2
Reference Drawing
3
1.3
Abbreviations
3
2
SUMMARY OF WORKS
4
2.1
Methodology
4
2.2
HOLDS
4
2.3
Assumptions
4
3
SUMMARY OF RESULTS
5
4
LEGISLATION, CODES, STANDARDS & REFERENCES
5
4.1
General
5
4.2 Shell Group Standards (DEP ver. 34)
5
4.3
International standards
5
4.4
Handbook
6
4.5
Language unit of measurements
6
5
CALCULATION SHEET
6
5.1
Lifting Beam Calculation For Jack Up
6
5.2
Beam Reinforcement Pad Calculation
13
5.3
Opening Stiffener Calculation
22
5.4
Clean Out Door Opening
33
1
INTRODUCTION
This calculation book consist of strength analysis required for the repair of
tank T-4804 at Marmul production station for Petroleum Development Oman
LLC hereafter referred as Purchaser / Owner / Company.
The extent of repair under this calculation book includes partial floor plate,
clean out door, opening reinforcement and required beam for shell plate jack
up.
1.1
Project Background
Concentric double wall wash tank T-4804, with nominal diameter of 36000
mm outer / 27500 mm inner and 9800 mm outer height / 10650 mm inner
height with the capacity of 8040 m
3located in NIMR production station. Tank
required partial floor plate replacement including replacement of clean out
doors and reinforcement of opening on both shell.
In order to replace the annular plates under the shell, shell shall be lifted by
using hydraulic jacks with twenty four numbers of cantilever beams welded
to the shell.
1.2
Reference Drawing
NIM-48-110239-MS-4018-00001-0001/2
General Arrangement DWG for
T-4804
NIM-48-110239-MX-4024-00001-0001
Detail of bottom plate T-4804
NIM-48-110239-MX-2580-00001-0001
Detail of COD (Outer shell)
T-4804
NIM-48-110239-MX-2580-00002-0001
Detail of COD (Inner shell)
T-4804
NIM-48-110239-MX-2580-00003-0001
Detail of Opening reinforcement
T-4804
1.3
Abbreviations
The below abbreviations are adopted in this requisition
API
ASTM
American Petroleum Institute
American Society For Testing Materials
AVME
Approved Vendors of Materials and Equipment
WG-CCC
PDO
ASME
BS
SP
DEP
AISC
ASD
EN
WRC
Wood Group – CCC Ltd.
Petroleum Development Oman LLC
American Society of Mechanical Engineers
British Standard
Specification
Design Engineering Practice
American Institute of Steel Construction
Allowable Strength Design
European Norm
Welding research council
2
SUMMARY OF WORKS
2.1
Methodology
The main method is used in calculation of beams, pads, reinforcement are
the principal mechanical strength calculation from the references introduced
in Para. 4.0 herein.
2.2
Holds
There is not any HOLD point for the calculation.
2.3
Assumptions
-
Shell, roof, structure assumed not corroded and all the loads calculated
for the jacking purpose are for a new tank.
-
Roof truss are supported by inner shell only.
-
Tank is stable against wind condition and no calculation is performed for
the wind stability check as per Purchaser instruction.
-
Design code is as per DEP 34.51.01.31-Gen and EN14015.
-
Repair works is as per API 653.
-
Inner shell lifting beam is designed considering Max. jack lifting capacity
of 12 Ton.
-
Outer shell lifting beam is designed considering max. jack lifting capacity
of 15 Ton.
-
Thickness of reinforcing pad for outer shell jack up beam is assumed as
15 mm in calculation while used thickness is 20 mm.
-
Thickness of reinforcing pad for inner shell jack up beam is assumed as
10 mm in calculation while used thickness is 20 mm. 10 mm thk. Inner
pad is welded to shell to increase shell thickness locally.
3
SUMMARY OF RESULTS
Summary of results are as below:
-
Tank shell lifting beam size is HD 260 x 172 for inner and outer shell
-
Since the annular of outer tank will be repaired partially while inner tank
will be undergone complete annular plate replacement, Tank shell lifting
beam quantity will be 24 No.s for inner and 8 No.s for outer shell.
-
Tank shell opening reinforcement beam size is HD 320 x 245 for both
inner and outer shell.
4
LEGISLATION, CODES, STANDARDS &
REFERENCES
4.1
General
All listed documents shall be the latest issue. The international standards
shall be read in conjunction with the corresponding DEP amendment.
4.2
Shell Group Standards (DEP ver. 34):
DEP 00.00.06.06-Gen - Index of standard drawings
DEP 00.00.20.10-Gen. - The Use of SI Quantities.
DEP 34.51.01.33-Gen – Above ground vertical storage tanks (Amendments
to API 650)
DEP 34.51.01.31-Gen – Vertical steel storage tanks - Selection design and
construction (amendments/supplements to EN14015)
4.3
International Standards:
ASME SEC II, Ed.2010, Add.2011
Materials
API 650, Ed.2011 Welded tank for oil storage
BS/EN 14015, Ed.2004 Specification for the design and manufacture of site
built, vertical, cylindrical, flat-bottomed, above ground, welded, steel tanks for
the storage of liquids at ambient temperature and above
4.4
Handbook:
- Roark Formulas for Stress and Strain, Warren C. Young, Richard G.
Budynas, Sixth Ed.
- Pressure Vessel Design manual, Dennis R. Moss, Third Ed.
- AISC Manual of Steel Construction, ASD, 9th Edition, 1989.
- Pressure vessel design handbook, Henry H. Bednar,
4.5
Language and Units of Measurement
The English language and the SI system in accordance with
DEP.00.00.20.10-Gen of units shall be used throughout for all documentation
and drawings. Where necessary for a specific application, alternative units
may be indicated in brackets together with the SI units.
5
CALCULATION SHEET
5.1
Lifting Beam Calculation for Jack Up
The beam size used for the cantilever beam is HD 260X172:
Outer shell cantilever beam
Yield Stress for S-275JR: 275 Mpa
M: 15,000 x 0.5 x 9.81 = 73,575 N.m
Z: 2,159,000 mm
3Bending stress: 34 Mpa < 165 Mpa (0.6*F
y), OK
Inner shell cantilever beam
Yield Stress for S-275JR: 275 Mpa
M: 12,000 x 0.5 x 9.81 = 58,860 N.m
Z: 2,159,000 mm
3Bending stress: 27.2 Mpa < 165 Mpa (0.6*F
y), OK
Weld attachment between beam and pad
A common method of handling welds with fillet welds is further presented in a typical
example of connecting a beam using a double-sided fillet weld.
This practice is as per EN 1993-1-8, EN 10024, EN 10034, EN 10055, EN 10056, EN
10279, DS 952, DIN 15018, DIN 18800, DIN 1024, DIN 1025, DIN 1026, DIN 1028,
DIN 1029, CSN 050120:
Depending on the acting load, we can use the following relations to specify the
individual components of stress at point "A" of the weld:
- load with normal force Fz:
- Load with bending moment M:
- Load with shear force Fx:
- Load with torque T:
where:
A
w... weld throat area [mm
2, in
2]
I
w... moment of inertia of the weld [mm
4, in
4]
J
w... polar moment of inertia of the weld [mm
4, in
4]
s
^... normal stress vertical to the weld direction [MPa, psi]
s
ll... normal stress parallel to the weld direction [MPa, psi]
t
^... shear stress vertical to the weld direction [MPa, psi]
t
ll... shear stress parallel to the weld direction [MPa, psi]
For connections stressed by combined load, the resulting "equivalent" stress in the
weld is specified from the relation:
Which for s
ll= 0 can be adjusted as:
The sectional properties for the selected basic shapes of weld groups can be found
in the following table. In order to specify the polar moment of inertia of the weld, you
can use the following relation:
Where:
a.... Weld throat thickness [mm, in]: 15 * 0.707: 10.6 mm
B.... Width of weld group [mm, in]: 268 mm
D.... Weld diameter [mm, in]: 15 mm
H.... Height of weld group [mm, in]: 225 mm
L.... Weld length [mm, in]: Not applicable
s.... Flange thickness [mm, in]: 32.5 mm
t.... Web thickness [mm, in]: 18 mm
A
w: 2 * 10.6 * (225+268-2*18): 9688.4 mm
2I
wX: 90,823,094.8 mm
4Allowable stress for A-283 Gr.C: 0.6 * F
y:137 Mpa for bending and combined
load and 0.4 * F
y:92 Mpa for shear.
Ref.: Pressure vessel design handbook, Henry H. Bednar, Section 10.0
Weld design
F
y: 15,000 kg: 147,150 N (Calculation for the worse case – outer shell only)
- Shear force: 15.2 Mpa < 0.4 * F
y(92) Mpa OK
M: 15,000 x 0.5: 7500 kg.m (Calculation for the worse case – outer shell only)
- Bending moment: 117.5 Mpa < 0.6 * F
y(137) Mpa OK
- Load Combination: 118.4 Mpa < 0.6 * F
y(137) Mpa OK
Weld attachment between pad and shell
H: 1000 / 800 mm (Outer / Inner)
B: 1530 / 800 mm (Outer / Inner)
a: 14 x 0.707 / 6 x 0.707: 9.9 / 4.2 mm (Outer / Inner)
A
w: 50,084 / 13,574 mm
2(Outer / Inner)
I
wX: 9,372,520,490 / 1,459,493,232 mm
4(Outer / Inner)
F
y: 15,000 / 12000 kg (Outer / Inner)
Allowable stress for A-283 Gr.C: 0.6 * F
y:137 Mpa for bending and combined
load and 0.4 * F
y:92 Mpa for shear.
- Shear force: 2.9 / 8.67 Mpa (Outer / Inner) < 0.4 * F
y(92) Mpa OK
M: 7500 / 6000 kg.m (Outer / Inner)
- Bending moment: 3.93 / 16.13 Mpa (Outer / Inner) < 0.6 * F
y(137) Mpa OK
5.2 Beam Reinforcement Pad Calculation:
Attachment parameter
- Pressure Vessel Design manual, Dennis R. Moss, Third Ed. Procedure
5.3, attachment parameter
2C1: 0.8*b: 0.8*268: 214.4 mm
2C2: h: 290 mm
Outer shell cantilever beam
Input Echo, WRC107 Item 1, Description: Beam outshell
Diameter Basis for Vessel Vbasis OD
Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 36012.000 mm. Vessel Thickness Tv 12.000 mm. Design Temperature 82.00 C Vessel Material SA-283 C Vessel UNS Number K02401
Vessel Cold S.I. Allowable Smc 137.00 N./mm² Vessel Hot S.I. Allowable Smh 137.00 N./mm² Attachment Type Type Rectangular Parameter C11 C11 214.40 mm. Parameter C22 C22 290.00 mm. Thickness of Reinforcing Pad Tpad 15.000 mm. Pad Parameter C11P C11p 1530.000 mm. Pad Parameter C22P C22p 1000.000 mm. Design Internal Pressure Dp 0.000 KPa. Include Pressure Thrust No External Forces and Moments in WRC 107 Convention:
Radial Load (SUS) P 0.0 Kgf Longitudinal Shear (SUS) Vl 15000.0 Kgf Circumferential Shear (SUS) Vc 0.0 Kgf Circumferential Moment (SUS) Mc 0.0 Kg-m. Longitudinal Moment (SUS) Ml 7500.0 Kg-m. Torsional Moment (SUS) Mt 0.0 Kg-m. Use Interactive Control No
WRC107 Version Version March 1979 Include Pressure Stress Indices per Div. 2 No Compute Pressure Stress per WRC-368 No WRC 107 Stress Calculation for SUStained loads:
Radial Load P 0.0 Kgf Circumferential Shear VC 0.0 Kgf Longitudinal Shear VL 15000.0 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML 7500.0 Kg-m. Torsional Moment MT 0.0 Kg-m. Dimensionless Parameters used : Gamma = 300.00 ( 666.94)
Dimensionless Loads for Cylindrical Shells at Attachment Junction:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.008 4C ! 60.865 (A,B) N(PHI) / ( P/Rm ) 0.008 3C ! 61.826 (C,D) M(PHI) / ( P ) 0.007 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.007 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.007 3A ! 1.307 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.007 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.007 3B ! 5.450 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.007 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.007 3C ! 62.315 (A,B) N(x) / ( P/Rm ) 0.007 4C ! 61.100 (C,D) M(x) / ( P ) 0.008 1C1 ! 0.192 (A,B)
M(x) / ( P ) 0.008 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.007 4A ! 1.325 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.007 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.007 4B ! 1.848 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.007 2B ! 0.079 (A,B,C,D) Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Attachment Junction
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -5 -5 5 5 0 0 0 0 Circ. Bend. ML | -278 278 278 -278 0 0 0 0 | Tot. Circ. Str.| -284.7 273.0 284.7 -273.0 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -2 -2 2 2 0 0 0 0 Long. Bend. ML | -383 383 383 -383 0 0 0 0 | Tot. Long. Str.| -385.9 381.1 385.9 -381.1 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -9 -9 9 9 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -9.4 -9.4 9.4 9.4 --- Str. Int. | 385.88 381.14 385.88 381.14 18.79 18.79 18.79 18.79 --- Dimensionless Parameters used : Gamma = 300.00 (1500.00)
Dimensionless Loads for Cylindrical Shells at Pad edge:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.034 4C ! 52.534 (A,B) N(PHI) / ( P/Rm ) 0.034 3C ! 45.764 (C,D) M(PHI) / ( P ) 0.039 2C1 ! 0.081 (A,B) M(PHI) / ( P ) 0.039 1C ! 0.126 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.037 3A ! 8.532 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.037 1A ! 0.095 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.032 3B ! 27.412 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.033 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.038 3C ! 43.331 (A,B) N(x) / ( P/Rm ) 0.038 4C ! 51.149 (C,D) M(x) / ( P ) 0.036 1C1 ! 0.140 (A,B) M(x) / ( P ) 0.036 2C ! 0.089 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.037 4A ! 11.521 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.036 2A ! 0.056 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.032 4B ! 7.734 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.032 2B ! 0.077 (A,B,C,D)
Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Edge of Reinforcing Pad
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -17 -17 17 17 0 0 0 0 Circ. Bend. ML | -281 281 281 -281 0 0 0 0 | Tot. Circ. Str.| -299.1 264.4 299.1 -264.4 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -3 -3 3 3 0 0 0 0 Long. Bend. ML | -406 406 406 -406 0 0 0 0 | Tot. Long. Str.| -409.4 403.1 409.4 -403.1 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -6 -6 6 6 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -6.1 -6.1 6.1 6.1 --- Str. Int. | 409.39 403.06 409.39 403.06 12.26 12.26 12.26 12.26 --- WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -5 -5 5 5 0 0 0 0 Circ. Q (SUS) | -278 278 278 -278 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -2 -2 2 2 0 0 0 0 Long. Q (SUS) | -383 383 383 -383 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -9 -9 9 9 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 5.8 5.8 5.8 5.8 18.8 18.8 18.8 18.8 --- Pm+Pl+Q (Total)| 385.9 381.1 385.9 381.1 18.8 18.8 18.8 18.8 ---
--- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 18.79 205.50 | Passed Pm+Pl+Q (TOTAL)| 385.88 411.00 | Passed --- WRC 107 Stress Summations:
Vessel Stress Summation at Reinforcing Pad Edge
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -17 -17 17 17 0 0 0 0 Circ. Q (SUS) | -281 281 281 -281 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -3 -3 3 3 0 0 0 0 Long. Q (SUS) | -406 406 406 -406 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -6 -6 6 6 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 17.3 17.3 17.3 17.3 12.3 12.3 12.3 12.3 --- Pm+Pl+Q (Total)| 409.4 403.1 409.4 403.1 12.3 12.3 12.3 12.3 --- --- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 17.32 205.50 | Passed Pm+Pl+Q (TOTAL)| 409.39 411.00 | Passed --- PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2011
Inner shell cantilever beam
Input Echo, WRC107 Item 2, Description: Beam inshell
Diameter Basis for Vessel Vbasis OD
Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 27506.002 mm. Vessel Thickness Tv 16.000 mm. Design Temperature 82.00 C Vessel Material SA-283 C Vessel UNS Number K02401
Vessel Cold S.I. Allowable Smc 137.00 N./mm² Vessel Hot S.I. Allowable Smh 137.00 N./mm² Attachment Type Type Rectangular Parameter C11 C11 214.40 mm. Parameter C22 C22 290.00 mm. Thickness of Reinforcing Pad Tpad 10.000 mm. Pad Parameter C11P C11p 800.000 mm. Pad Parameter C22P C22p 800.000 mm. Design Internal Pressure Dp 0.000 KPa. Include Pressure Thrust No External Forces and Moments in WRC 107 Convention:
Radial Load (SUS) P 0.0 Kgf Longitudinal Shear (SUS) Vl 12000.0 Kgf Circumferential Shear (SUS) Vc 0.0 Kgf Circumferential Moment (SUS) Mc 0.0 Kg-m. Longitudinal Moment (SUS) Ml 6000.0 Kg-m. Torsional Moment (SUS) Mt 0.0 Kg-m. Use Interactive Control No
WRC107 Version Version March 1979 Include Pressure Stress Indices per Div. 2 No Compute Pressure Stress per WRC-368 No WRC 107 Stress Calculation for SUStained loads:
Radial Load P 0.0 Kgf Circumferential Shear VC 0.0 Kgf Longitudinal Shear VL 12000.0 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML 6000.0 Kg-m. Torsional Moment MT 0.0 Kg-m. Dimensionless Parameters used : Gamma = 300.00 ( 528.85)
Dimensionless Loads for Cylindrical Shells at Attachment Junction:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.011 4C ! 60.001 (A,B) N(PHI) / ( P/Rm ) 0.011 3C ! 60.044 (C,D) M(PHI) / ( P ) 0.009 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.009 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.009 3A ! 1.307 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.009 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.010 3B ! 5.635 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.009 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.010 3C ! 60.667 (A,B) N(x) / ( P/Rm ) 0.010 4C ! 60.304 (C,D) M(x) / ( P ) 0.010 1C1 ! 0.192 (A,B)
M(x) / ( P ) 0.010 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.009 4A ! 1.325 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.009 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.010 4B ! 2.639 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.009 2B ! 0.079 (A,B,C,D) Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Attachment Junction
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -6 -6 6 6 0 0 0 0 Circ. Bend. ML | -240 240 240 -240 0 0 0 0 | Tot. Circ. Str.| -247.1 234.0 247.1 -234.0 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -3 -3 3 3 0 0 0 0 Long. Bend. ML | -330 330 330 -330 0 0 0 0 | Tot. Long. Str.| -334.5 327.2 334.5 -327.2 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -7 -7 7 7 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -7.8 -7.8 7.8 7.8 --- Str. Int. | 334.55 327.18 334.55 327.18 15.61 15.61 15.61 15.61 --- Dimensionless Parameters used : Gamma = 300.00 ( 859.06)
Dimensionless Loads for Cylindrical Shells at Pad edge:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.029 4C ! 53.969 (A,B) N(PHI) / ( P/Rm ) 0.029 3C ! 48.355 (C,D) M(PHI) / ( P ) 0.029 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.029 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.029 3A ! 7.150 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.029 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.029 3B ! 24.978 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.029 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.029 3C ! 48.355 (A,B) N(x) / ( P/Rm ) 0.029 4C ! 53.969 (C,D) M(x) / ( P ) 0.029 1C1 ! 0.160 (A,B) M(x) / ( P ) 0.029 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.029 4A ! 8.625 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.029 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.029 4B ! 7.238 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.029 2B ! 0.079 (A,B,C,D)
Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Edge of Reinforcing Pad
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -16 -16 16 16 0 0 0 0 Circ. Bend. ML | -187 187 187 -187 0 0 0 0 | Tot. Circ. Str.| -204.5 171.1 204.5 -171.1 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -4 -4 4 4 0 0 0 0 Long. Bend. ML | -272 272 272 -272 0 0 0 0 | Tot. Long. Str.| -277.4 267.7 277.4 -267.7 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -4 -4 4 4 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -4.6 -4.6 4.6 4.6 --- Str. Int. | 277.41 267.73 277.41 267.73 9.19 9.19 9.19 9.19 --- WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -6 -6 6 6 0 0 0 0 Circ. Q (SUS) | -240 240 240 -240 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -3 -3 3 3 0 0 0 0 Long. Q (SUS) | -330 330 330 -330 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -7 -7 7 7 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 6.6 6.6 6.6 6.6 15.6 15.6 15.6 15.6 --- Pm+Pl+Q (Total)| 334.5 327.2 334.5 327.2 15.6 15.6 15.6 15.6 ---
--- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 15.61 205.50 | Passed Pm+Pl+Q (TOTAL)| 334.55 411.00 | Passed --- WRC 107 Stress Summations:
Vessel Stress Summation at Reinforcing Pad Edge
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -16 -16 16 16 0 0 0 0 Circ. Q (SUS) | -187 187 187 -187 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -4 -4 4 4 0 0 0 0 Long. Q (SUS) | -272 272 272 -272 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -4 -4 4 4 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 16.7 16.7 16.7 16.7 9.2 9.2 9.2 9.2 --- Pm+Pl+Q (Total)| 277.4 267.7 277.4 267.7 9.2 9.2 9.2 9.2 --- --- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 16.71 205.50 | Passed Pm+Pl+Q (TOTAL)| 277.41 411.00 | Passed --- PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2011
5.3 OPENING STIFFENER CALCULATION
5.4 CLEAN OUT DOOR CALCULATION
Outer shell COD:
e
1: 12.5 mm
Reinforcement plate material: A-283 Gr.C
e
r: 12.5 + 3: 15.5 mm, we selected 16 mm for reinforcement plate
H: 9,800 mm: 9.8 m
e
br: 25.04 mm, we selected 30 mm for bottom reinforcing plate selected material is
SA 516 Gr.70N
Inner shell COD:
e
1: 6 mm
Reinforcement plate material: A-283 Gr.C
e
r: 6 + 3: 9 mm, we selected 10 mm for reinforcement plate
H: 10,650 mm: 10.65 m
e
br: 25.86 mm, we selected 30 mm for bottom reinforcing plate selected material is
SA 516 Gr.70N
1
INTRODUCTION
This calculation book consist of strength analysis required for the repair of
tank T-4804 at Marmul production station for Petroleum Development Oman
LLC hereafter referred as Purchaser / Owner / Company.
The extent of repair under this calculation book includes partial floor plate,
clean out door, opening reinforcement and required beam for shell plate jack
up.
1.1
Project Background
Concentric double wall wash tank T-4804, with nominal diameter of 36000
mm outer / 27500 mm inner and 9800 mm outer height / 10650 mm inner
height with the capacity of 8040 m
3located in NIMR production station. Tank
required partial floor plate replacement including replacement of clean out
doors and reinforcement of opening on both shell.
In order to replace the annular plates under the shell, shell shall be lifted by
using hydraulic jacks with twenty four numbers of cantilever beams welded
to the shell.
1.2
Reference Drawing
NIM-48-110239-MS-4018-00001-0001/2
General Arrangement DWG for
T-4804
NIM-48-110239-MX-4024-00001-0001
Detail of bottom plate T-4804
NIM-48-110239-MX-2580-00001-0001
Detail of COD (Outer shell)
T-4804
NIM-48-110239-MX-2580-00002-0001
Detail of COD (Inner shell)
T-4804
NIM-48-110239-MX-2580-00003-0001
Detail of Opening reinforcement
T-4804
1.3
Abbreviations
The below abbreviations are adopted in this requisition
API
ASTM
American Petroleum Institute
American Society For Testing Materials
WG-CCC
PDO
ASME
BS
SP
DEP
AISC
ASD
EN
WRC
Wood Group – CCC Ltd.
Petroleum Development Oman LLC
American Society of Mechanical Engineers
British Standard
Specification
Design Engineering Practice
American Institute of Steel Construction
Allowable Strength Design
European Norm
Welding research council
2
SUMMARY OF WORKS
2.1
Methodology
The main method is used in calculation of beams, pads, reinforcement are
the principal mechanical strength calculation from the references introduced
in Para. 4.0 herein.
2.2
Holds
There is not any HOLD point for the calculation.
2.3
Assumptions
-
Shell, roof, structure assumed not corroded and all the loads calculated
for the jacking purpose are for a new tank.
-
Roof truss are supported by inner shell only.
-
Tank is stable against wind condition and no calculation is performed for
the wind stability check as per Purchaser instruction.
-
Design code is as per DEP 34.51.01.31-Gen and EN14015.
-
Repair works is as per API 653.
-
Inner shell lifting beam is designed considering Max. jack lifting capacity
of 12 Ton.
-
Outer shell lifting beam is designed considering max. jack lifting capacity
of 15 Ton.
-
Thickness of reinforcing pad for outer shell jack up beam is assumed as
15 mm in calculation while used thickness is 20 mm.
-
Thickness of reinforcing pad for inner shell jack up beam is assumed as
10 mm in calculation while used thickness is 20 mm. 10 mm thk. Inner
pad is welded to shell to increase shell thickness locally.
3
SUMMARY OF RESULTS
Summary of results are as below:
-
Tank shell lifting beam size is HD 260 x 172 for inner and outer shell
-
Since the annular of outer tank will be repaired partially while inner tank
will be undergone complete annular plate replacement, Tank shell lifting
beam quantity will be 24 No.s for inner and 8 No.s for outer shell.
-
Tank shell opening reinforcement beam size is HD 320 x 245 for both
inner and outer shell.
4
LEGISLATION, CODES, STANDARDS &
REFERENCES
4.1
General
All listed documents shall be the latest issue. The international standards
shall be read in conjunction with the corresponding DEP amendment.
4.2
Shell Group Standards (DEP ver. 34):
DEP 00.00.06.06-Gen - Index of standard drawings
DEP 00.00.20.10-Gen. - The Use of SI Quantities.
DEP 34.51.01.33-Gen – Above ground vertical storage tanks (Amendments
to API 650)
DEP 34.51.01.31-Gen – Vertical steel storage tanks - Selection design and
construction (amendments/supplements to EN14015)
4.3
International Standards:
ASME SEC II, Ed.2010, Add.2011
Materials
API 650, Ed.2011 Welded tank for oil storage
BS/EN 14015, Ed.2004 Specification for the design and manufacture of site
built, vertical, cylindrical, flat-bottomed, above ground, welded, steel tanks for
the storage of liquids at ambient temperature and above
4.4
Handbook:
- Roark Formulas for Stress and Strain, Warren C. Young, Richard G.
Budynas, Sixth Ed.
- Pressure Vessel Design manual, Dennis R. Moss, Third Ed.
- AISC Manual of Steel Construction, ASD, 9th Edition, 1989.
- Pressure vessel design handbook, Henry H. Bednar,
4.5
Language and Units of Measurement
The English language and the SI system in accordance with
DEP.00.00.20.10-Gen of units shall be used throughout for all documentation
and drawings. Where necessary for a specific application, alternative units
may be indicated in brackets together with the SI units.
5
CALCULATION SHEET
5.1
Lifting Beam Calculation for Jack Up
The beam size used for the cantilever beam is HD 260X172:
Outer shell cantilever beam
Yield Stress for S-275JR: 275 Mpa
M: 15,000 x 0.5 x 9.81 = 73,575 N.m
Z: 2,159,000 mm
3Bending stress: 34 Mpa < 165 Mpa (0.6*F
y), OK
Inner shell cantilever beam
Yield Stress for S-275JR: 275 Mpa
M: 12,000 x 0.5 x 9.81 = 58,860 N.m
Z: 2,159,000 mm
3Bending stress: 27.2 Mpa < 165 Mpa (0.6*F
y), OK
Weld attachment between beam and pad
A common method of handling welds with fillet welds is further presented in a typical
example of connecting a beam using a double-sided fillet weld.
This practice is as per EN 1993-1-8, EN 10024, EN 10034, EN 10055, EN 10056, EN
10279, DS 952, DIN 15018, DIN 18800, DIN 1024, DIN 1025, DIN 1026, DIN 1028,
DIN 1029, CSN 050120:
Depending on the acting load, we can use the following relations to specify the
individual components of stress at point "A" of the weld:
- load with normal force Fz:
- Load with bending moment M:
- Load with shear force Fx:
- Load with torque T:
where:
A
w... weld throat area [mm
2, in
2]
I
w... moment of inertia of the weld [mm
4, in
4]
J
w... polar moment of inertia of the weld [mm
4, in
4]
s
^... normal stress vertical to the weld direction [MPa, psi]
s
ll... normal stress parallel to the weld direction [MPa, psi]
t
^... shear stress vertical to the weld direction [MPa, psi]
t
ll... shear stress parallel to the weld direction [MPa, psi]
For connections stressed by combined load, the resulting "equivalent" stress in the
weld is specified from the relation:
Which for s
ll= 0 can be adjusted as:
The sectional properties for the selected basic shapes of weld groups can be found
in the following table. In order to specify the polar moment of inertia of the weld, you
can use the following relation:
Where:
a.... Weld throat thickness [mm, in]: 15 * 0.707: 10.6 mm
B.... Width of weld group [mm, in]: 268 mm
D.... Weld diameter [mm, in]: 15 mm
H.... Height of weld group [mm, in]: 225 mm
L.... Weld length [mm, in]: Not applicable
s.... Flange thickness [mm, in]: 32.5 mm
t.... Web thickness [mm, in]: 18 mm
A
w: 2 * 10.6 * (225+268-2*18): 9688.4 mm
2I
wX: 90,823,094.8 mm
4Allowable stress for A-283 Gr.C: 0.6 * F
y:137 Mpa for bending and combined
load and 0.4 * F
y:92 Mpa for shear.
Ref.: Pressure vessel design handbook, Henry H. Bednar, Section 10.0
Weld design
F
y: 15,000 kg: 147,150 N (Calculation for the worse case – outer shell only)
- Shear force: 15.2 Mpa < 0.4 * F
y(92) Mpa OK
M: 15,000 x 0.5: 7500 kg.m (Calculation for the worse case – outer shell only)
- Bending moment: 117.5 Mpa < 0.6 * F
y(137) Mpa OK
- Load Combination: 118.4 Mpa < 0.6 * F
y(137) Mpa OK
Weld attachment between pad and shell
H: 1000 / 800 mm (Outer / Inner)
B: 1530 / 800 mm (Outer / Inner)
a: 14 x 0.707 / 6 x 0.707: 9.9 / 4.2 mm (Outer / Inner)
A
w: 50,084 / 13,574 mm
2(Outer / Inner)
I
wX: 9,372,520,490 / 1,459,493,232 mm
4(Outer / Inner)
F
y: 15,000 / 12000 kg (Outer / Inner)
Allowable stress for A-283 Gr.C: 0.6 * F
y:137 Mpa for bending and combined
load and 0.4 * F
y:92 Mpa for shear.
- Shear force: 2.9 / 8.67 Mpa (Outer / Inner) < 0.4 * F
y(92) Mpa OK
M: 7500 / 6000 kg.m (Outer / Inner)
- Bending moment: 3.93 / 16.13 Mpa (Outer / Inner) < 0.6 * F
y(137) Mpa OK
5.2 Beam Reinforcement Pad Calculation:
Attachment parameter
- Pressure Vessel Design manual, Dennis R. Moss, Third Ed. Procedure
5.3, attachment parameter
2C1: 0.8*b: 0.8*268: 214.4 mm
2C2: h: 290 mm
Outer shell cantilever beam
Input Echo, WRC107 Item 1, Description: Beam outshell
Diameter Basis for Vessel Vbasis OD
Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 36012.000 mm. Vessel Thickness Tv 12.000 mm. Design Temperature 82.00 C Vessel Material SA-283 C Vessel UNS Number K02401
Vessel Cold S.I. Allowable Smc 137.00 N./mm² Vessel Hot S.I. Allowable Smh 137.00 N./mm² Attachment Type Type Rectangular Parameter C11 C11 214.40 mm. Parameter C22 C22 290.00 mm. Thickness of Reinforcing Pad Tpad 15.000 mm. Pad Parameter C11P C11p 1530.000 mm. Pad Parameter C22P C22p 1000.000 mm. Design Internal Pressure Dp 0.000 KPa. Include Pressure Thrust No External Forces and Moments in WRC 107 Convention:
Radial Load (SUS) P 0.0 Kgf Longitudinal Shear (SUS) Vl 15000.0 Kgf Circumferential Shear (SUS) Vc 0.0 Kgf Circumferential Moment (SUS) Mc 0.0 Kg-m. Longitudinal Moment (SUS) Ml 7500.0 Kg-m. Torsional Moment (SUS) Mt 0.0 Kg-m. Use Interactive Control No
WRC107 Version Version March 1979 Include Pressure Stress Indices per Div. 2 No Compute Pressure Stress per WRC-368 No WRC 107 Stress Calculation for SUStained loads:
Radial Load P 0.0 Kgf Circumferential Shear VC 0.0 Kgf Longitudinal Shear VL 15000.0 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML 7500.0 Kg-m. Torsional Moment MT 0.0 Kg-m. Dimensionless Parameters used : Gamma = 300.00 ( 666.94)
Dimensionless Loads for Cylindrical Shells at Attachment Junction:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.008 4C ! 60.865 (A,B) N(PHI) / ( P/Rm ) 0.008 3C ! 61.826 (C,D) M(PHI) / ( P ) 0.007 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.007 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.007 3A ! 1.307 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.007 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.007 3B ! 5.450 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.007 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.007 3C ! 62.315 (A,B) N(x) / ( P/Rm ) 0.007 4C ! 61.100 (C,D) M(x) / ( P ) 0.008 1C1 ! 0.192 (A,B)
M(x) / ( P ) 0.008 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.007 4A ! 1.325 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.007 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.007 4B ! 1.848 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.007 2B ! 0.079 (A,B,C,D) Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Attachment Junction
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -5 -5 5 5 0 0 0 0 Circ. Bend. ML | -278 278 278 -278 0 0 0 0 | Tot. Circ. Str.| -284.7 273.0 284.7 -273.0 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -2 -2 2 2 0 0 0 0 Long. Bend. ML | -383 383 383 -383 0 0 0 0 | Tot. Long. Str.| -385.9 381.1 385.9 -381.1 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -9 -9 9 9 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -9.4 -9.4 9.4 9.4 --- Str. Int. | 385.88 381.14 385.88 381.14 18.79 18.79 18.79 18.79 --- Dimensionless Parameters used : Gamma = 300.00 (1500.00)
Dimensionless Loads for Cylindrical Shells at Pad edge:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.034 4C ! 52.534 (A,B) N(PHI) / ( P/Rm ) 0.034 3C ! 45.764 (C,D) M(PHI) / ( P ) 0.039 2C1 ! 0.081 (A,B) M(PHI) / ( P ) 0.039 1C ! 0.126 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.037 3A ! 8.532 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.037 1A ! 0.095 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.032 3B ! 27.412 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.033 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.038 3C ! 43.331 (A,B) N(x) / ( P/Rm ) 0.038 4C ! 51.149 (C,D) M(x) / ( P ) 0.036 1C1 ! 0.140 (A,B) M(x) / ( P ) 0.036 2C ! 0.089 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.037 4A ! 11.521 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.036 2A ! 0.056 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.032 4B ! 7.734 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.032 2B ! 0.077 (A,B,C,D)
Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Edge of Reinforcing Pad
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -17 -17 17 17 0 0 0 0 Circ. Bend. ML | -281 281 281 -281 0 0 0 0 | Tot. Circ. Str.| -299.1 264.4 299.1 -264.4 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -3 -3 3 3 0 0 0 0 Long. Bend. ML | -406 406 406 -406 0 0 0 0 | Tot. Long. Str.| -409.4 403.1 409.4 -403.1 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -6 -6 6 6 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -6.1 -6.1 6.1 6.1 --- Str. Int. | 409.39 403.06 409.39 403.06 12.26 12.26 12.26 12.26 --- WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -5 -5 5 5 0 0 0 0 Circ. Q (SUS) | -278 278 278 -278 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -2 -2 2 2 0 0 0 0 Long. Q (SUS) | -383 383 383 -383 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -9 -9 9 9 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 5.8 5.8 5.8 5.8 18.8 18.8 18.8 18.8 --- Pm+Pl+Q (Total)| 385.9 381.1 385.9 381.1 18.8 18.8 18.8 18.8 ---
--- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 18.79 205.50 | Passed Pm+Pl+Q (TOTAL)| 385.88 411.00 | Passed --- WRC 107 Stress Summations:
Vessel Stress Summation at Reinforcing Pad Edge
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -17 -17 17 17 0 0 0 0 Circ. Q (SUS) | -281 281 281 -281 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -3 -3 3 3 0 0 0 0 Long. Q (SUS) | -406 406 406 -406 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -6 -6 6 6 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 17.3 17.3 17.3 17.3 12.3 12.3 12.3 12.3 --- Pm+Pl+Q (Total)| 409.4 403.1 409.4 403.1 12.3 12.3 12.3 12.3 --- --- Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm² | ---|--- Pm (SUS) | 0.00 137.00 | Passed Pm+Pl (SUS) | 17.32 205.50 | Passed Pm+Pl+Q (TOTAL)| 409.39 411.00 | Passed --- PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2011
Inner shell cantilever beam
Input Echo, WRC107 Item 2, Description: Beam inshell
Diameter Basis for Vessel Vbasis OD
Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 27506.002 mm. Vessel Thickness Tv 16.000 mm. Design Temperature 82.00 C Vessel Material SA-283 C Vessel UNS Number K02401
Vessel Cold S.I. Allowable Smc 137.00 N./mm² Vessel Hot S.I. Allowable Smh 137.00 N./mm² Attachment Type Type Rectangular Parameter C11 C11 214.40 mm. Parameter C22 C22 290.00 mm. Thickness of Reinforcing Pad Tpad 10.000 mm. Pad Parameter C11P C11p 800.000 mm. Pad Parameter C22P C22p 800.000 mm. Design Internal Pressure Dp 0.000 KPa. Include Pressure Thrust No External Forces and Moments in WRC 107 Convention:
Radial Load (SUS) P 0.0 Kgf Longitudinal Shear (SUS) Vl 12000.0 Kgf Circumferential Shear (SUS) Vc 0.0 Kgf Circumferential Moment (SUS) Mc 0.0 Kg-m. Longitudinal Moment (SUS) Ml 6000.0 Kg-m. Torsional Moment (SUS) Mt 0.0 Kg-m. Use Interactive Control No
WRC107 Version Version March 1979 Include Pressure Stress Indices per Div. 2 No Compute Pressure Stress per WRC-368 No WRC 107 Stress Calculation for SUStained loads:
Radial Load P 0.0 Kgf Circumferential Shear VC 0.0 Kgf Longitudinal Shear VL 12000.0 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML 6000.0 Kg-m. Torsional Moment MT 0.0 Kg-m. Dimensionless Parameters used : Gamma = 300.00 ( 528.85)
Dimensionless Loads for Cylindrical Shells at Attachment Junction:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.011 4C ! 60.001 (A,B) N(PHI) / ( P/Rm ) 0.011 3C ! 60.044 (C,D) M(PHI) / ( P ) 0.009 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.009 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.009 3A ! 1.307 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.009 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.010 3B ! 5.635 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.009 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.010 3C ! 60.667 (A,B) N(x) / ( P/Rm ) 0.010 4C ! 60.304 (C,D) M(x) / ( P ) 0.010 1C1 ! 0.192 (A,B)
M(x) / ( P ) 0.010 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.009 4A ! 1.325 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.009 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.010 4B ! 2.639 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.009 2B ! 0.079 (A,B,C,D) Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Attachment Junction
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -6 -6 6 6 0 0 0 0 Circ. Bend. ML | -240 240 240 -240 0 0 0 0 | Tot. Circ. Str.| -247.1 234.0 247.1 -234.0 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -3 -3 3 3 0 0 0 0 Long. Bend. ML | -330 330 330 -330 0 0 0 0 | Tot. Long. Str.| -334.5 327.2 334.5 -327.2 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -7 -7 7 7 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -7.8 -7.8 7.8 7.8 --- Str. Int. | 334.55 327.18 334.55 327.18 15.61 15.61 15.61 15.61 --- Dimensionless Parameters used : Gamma = 300.00 ( 859.06)
Dimensionless Loads for Cylindrical Shells at Pad edge:
--- Curves read for 1979 Beta Figure Value Location --- N(PHI) / ( P/Rm ) 0.029 4C ! 53.969 (A,B) N(PHI) / ( P/Rm ) 0.029 3C ! 48.355 (C,D) M(PHI) / ( P ) 0.029 2C1 ! 0.103 (A,B) M(PHI) / ( P ) 0.029 1C ! 0.150 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.029 3A ! 7.150 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.029 1A ! 0.099 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.029 3B ! 24.978 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.029 1B ! 0.054 (A,B,C,D) N(x) / ( P/Rm ) 0.029 3C ! 48.355 (A,B) N(x) / ( P/Rm ) 0.029 4C ! 53.969 (C,D) M(x) / ( P ) 0.029 1C1 ! 0.160 (A,B) M(x) / ( P ) 0.029 2C ! 0.100 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.029 4A ! 8.625 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.029 2A ! 0.057 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.029 4B ! 7.238 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.029 2B ! 0.079 (A,B,C,D)
Note - The ! mark next to the figure name denotes curve value exceeded.
Stress Concentration Factors Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Edge of Reinforcing Pad
--- | Stress Values at Type of | (N./mm² ) ---|--- Stress Load| Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Memb. P | 0 0 0 0 0 0 0 0 Circ. Bend. P | 0 0 0 0 0 0 0 0 Circ. Memb. MC | 0 0 0 0 0 0 0 0 Circ. Bend. MC | 0 0 0 0 0 0 0 0 Circ. Memb. ML | -16 -16 16 16 0 0 0 0 Circ. Bend. ML | -187 187 187 -187 0 0 0 0 | Tot. Circ. Str.| -204.5 171.1 204.5 -171.1 0.0 0.0 0.0 0.0 --- Long. Memb. P | 0 0 0 0 0 0 0 0 Long. Bend. P | 0 0 0 0 0 0 0 0 Long. Memb. MC | 0 0 0 0 0 0 0 0 Long. Bend. MC | 0 0 0 0 0 0 0 0 Long. Memb. ML | -4 -4 4 4 0 0 0 0 Long. Bend. ML | -272 272 272 -272 0 0 0 0 | Tot. Long. Str.| -277.4 267.7 277.4 -267.7 0.0 0.0 0.0 0.0 --- Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -4 -4 4 4 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -4.6 -4.6 4.6 4.6 --- Str. Int. | 277.41 267.73 277.41 267.73 9.19 9.19 9.19 9.19 --- WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
--- Type of | Stress Values at
Stress Int. | (N./mm² ) ---|--- Location | Au Al Bu Bl Cu Cl Du Dl ---|--- Circ. Pm (SUS) | 0 0 0 0 0 0 0 0 Circ. Pl (SUS) | -6 -6 6 6 0 0 0 0 Circ. Q (SUS) | -240 240 240 -240 0 0 0 0 --- Long. Pm (SUS) | 0 0 0 0 0 0 0 0 Long. Pl (SUS) | -3 -3 3 3 0 0 0 0 Long. Q (SUS) | -330 330 330 -330 0 0 0 0 --- Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -7 -7 7 7 Shear Q (SUS) | 0 0 0 0 0 0 0 0 --- Pm (SUS) | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 --- Pm+Pl (SUS) | 6.6 6.6 6.6 6.6 15.6 15.6 15.6 15.6 --- Pm+Pl+Q (Total)| 334.5 327.2 334.5 327.2 15.6 15.6 15.6 15.6 ---