dc s3-1301 rev.0 original
TRANSCRIPT
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MSET ENGINEERING CORPORATION SDN BHD
DOCUMENT TITLE: DESIGN CALCULATION DATE: 14.07.2013
DOC. REF. NO.: MSET/M2-231/S3-1301/DC REVISION: 0
SUBJECT: DESIGN DATA JOB NO: M2-231
SERIAL NO.: M2-231/001 PAGE: 2
DESIGN DATA
ITEM NO. S3-1301 MDEA SOLUTION FILTER
DESIGN CODE ASME SEC.VIII DIV.1, 2010 EDITION & 2011 ADDENDA
CODE STAMPING YES (U-STAMP)
DESIGNPRESSURE (kg/cm g) 35
TEMPERATURE (C) (Min/Max) -10 / 90
OPERATINGPRESSURE (kg/cm g) 24.9
TEMPERATURE (C) 60
TEST PRESSURE
HYDROTEST (kg/cm g)(As Per UG-99c)
60.5
PNEUMATIC NO
MAWP (hot & corroded) (kg/cm g) 41.1
MAP (new & cold) (kg/cm g) 46.6
OUTSIDE DIAMETER (mm) 323.9 (NPS 12)
TYPE OF HEAD CAP NPS 12 x SCH 40
MATERIAL OF CONSTRUCTION (SHELL/HEAD) SA 106 Gr B / SA 234 WPB
HEAT TREATMENTNORMALIZED NO
PWHT YES
IMPACT TEST NO
MDMT (C) -10
RADIOGRAPHY HEAD: 100% SHELL: 100%
JOINT EFFICIENCY HEAD:1.0 , SHELL: 1.0
CORROSION ALLOWANCE(mm)
SHELL & HEAD 3
NOZZLE 3
CONTENTS aMDEA
ERECTION WEIGHT (kg) 367 (w/o Filter)
CAPACITY (m3) 0.12
PRESSURE VESSEL DESIGN CALCULATION
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DOCUMENT TITLE: DESIGN CALCULATION DATE: 14.07.2013
DOC. REF. NO.: MSET/M2-231/S3-1301/DC REVISION: 0
SUBJECT: CHANGE RECORD JOB NO: M2-231
SERIAL NO.: M2-231/001 PAGE: 3
CHANGE RECORD
Amendment No. Date Responsible
Person
Description Of Change
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DOCUMENT TITLE: DESIGN CALCULATION DATE: 14.07.2013
DOC. REF. NO.: MSET/M2-231/S3-1301/DC REVISION: 0
SUBJECT: TABLE OF CONTENT JOB NO: M2-231
SERIAL NO.: M2-231/001 PAGE: 4
TABLE OF CONTENT
NO CONTENT PAGE NO.
1 Input Echo 5
2 Flange Calculation 12
3 Internal Pressure Calculations 20
4 Element and Detail Weights 23
5 Nozzle Flange MAWP 26
6 Wind Load Calculation 27
7 Earthquake Load Calculation 30
8 Wind/Earthquake Shear, Bending 32
9 Wind Deflection 33
10 Center of Gravity 34
11 Leg Calculation (Operating Case) 3512 Nozzle Calculation 45
13 Nozzle Schedule 78
14 Nozzle Summary 79
15 Vessel Design Summary 81
16 Attachment 1: Lifting Lug Calculation -
17 Attachment 2: WRC 297 Calculation -
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Input Echo : Step: 1 1:42p Jul 14,2013
PV Elite Vessel Analysis Program: Input Data
Design Internal Pressure (for Hydrotest) 35.000 kgf/cm
Design Internal Temperature 90 C
Type of Hydrotest UG99-c
Hydrotest Position Horizontal
Projection of Nozzle from Vessel Top 150.00 mm
Projection of Nozzle from Vessel Bottom 150.00 mm
Minimum Design Metal Temperature -10 C
Type of Construction Welded
Special Service None
Degree of Radiography RT-1
Miscellaneous Weight Percent 5.0
Use Higher Longitudinal Stresses (Flag) Y
Select t for Internal Pressure (Flag) N
Select t for External Pressure (Flag) N
Select t for Axial Stress (Flag) N
Select Location for Stiff. Rings (Flag) N
Consider Vortex Shedding N
Perform a Corroded Hydrotest N
Is this a Heat Exchanger No
User Defined Hydro. Press. (Used if > 0) 0.0000 kgf/cm
User defined MAWP 0.0000 kgf/cm
User defined MAPnc 0.0000 kgf/cm
Load Case 1 NP+EW+WI+FW+BW
Load Case 2 NP+EW+EE+FS+BSLoad Case 3 NP+OW+WI+FW+BW
Load Case 4 NP+OW+EQ+FS+BS
Load Case 5 NP+HW+HI
Load Case 6 NP+HW+HE
Load Case 7 IP+OW+WI+FW+BW
Load Case 8 IP+OW+EQ+FS+BS
Load Case 9 EP+OW+WI+FW+BW
Load Case 10 EP+OW+EQ+FS+BS
Load Case 11 HP+HW+HI
Load Case 12 HP+HW+HE
Load Case 13 IP+WE+EW
Load Case 14 IP+WF+CW
Load Case 15 IP+VO+OW
Load Case 16 IP+VE+EW
Load Case 17 NP+VO+OW
Load Case 18 FS+BS+IP+OW
Load Case 19 FS+BS+EP+OW
Wind Design Code ASCE-7 98/02/05/IBC-03/STS-1
Basic Wind Speed [V] 33.100 m/sec
Surface Roughness Category C: Open Terrain
Importance Factor 1.0
Type of Surface Moderately Smooth
Base Elevation 10000. mm
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Percent Wind for Hydrotest 33.0
Using User defined Wind Press. Vs Elev. N
Height of Hill or Escarpment H or Hh 0.0000 mm
Distance Upwind of Crest Lh 0.0000 mmDistance from Crest to the Vessel x 0.0000 mm
Type of Terrain ( Hill, Escarpment ) Flat
Damping Factor (Beta) for Wind (Ope) 0.0100
Damping Factor (Beta) for Wind (Empty) 0.0000
Damping Factor (Beta) for Wind (Filled) 0.0000
Seismic Design Code UBC 1997
UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4) 1
UBC Importance Factor 1.250
UBC Seismic Coefficient Ca 0.120
UBC Seismic Coefficient Cv 0.180
UBC Seismic Coefficient Nv 1.000
UBC Horizontal Force Factor 2.900
Apply Allowables per paragraph 1612.3.2 No
Design Nozzle for Des. Press. + St. Head Y
Consider MAP New and Cold in Noz. Design Y
Consider External Loads for Nozzle Des. Y
Use ASME VIII-1 Appendix 1-9 N
Material Database Year Current w/Addenda or Code Year
Configuration Directives:
Do not use Nozzle MDMT Interpretation VIII-1 01-37 NoUse Table G instead of exact equation for "A" Yes
Shell Head Joints are Tapered Yes
Compute "K" in corroded condition Yes
Use Code Case 2286 No
Use the MAWP to compute the MDMT Yes
Using Metric Material Databases, ASME II D No
Complete Listing of Vessel Elements and Details:
Element From Node 10
Element To Node 20
Element Type Elliptical
Description CAP
Distance "FROM" to "TO" 66.000 mm
Element Outside Diameter 323.90 mm
Element Thickness 10.310 mm
Internal Corrosion Allowance 3.0000 mm
Nominal Thickness 10.310 mm
External Corrosion Allowance 0.0000 mm
Design Internal Pressure 35.000 kgf/cm
Design Temperature Internal Pressure 90 C
Design External Pressure 0.0000 kgf/cm
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
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Material Name SA-234 WPB
Allowable Stress, Ambient 1202.2 kgf/cm
Allowable Stress, Operating 1202.2 kgf/cm
Allowable Stress, Hydrotest 2214.7 kgf/cmMaterial Density 0.007750 kgm/cm
P Number Thickness 31.750 mm
Yield Stress, Operating 2263.6 kgf/cm
UCS-66 Chart Curve Designation B
External Pressure Chart Name CS-2
UNS Number K03006
Product Form Smls. & wld. fittings
Efficiency, Longitudinal Seam 1.0
Efficiency, Circumferential Seam 1.0
Elliptical Head Factor 2.0
Element From Node 10
Detail Type Liquid
Detail ID FLUID1
Dist. from "FROM" Node / Offset dist -75.820 mm
Height/Length of Liquid 141.82 mm
Liquid Density 1018.0 kgm/m
Element From Node 10
Detail Type Nozzle
Detail ID N6
Dist. from "FROM" Node / Offset dist 0.0000 mm
Nozzle Diameter 50.0 mm
Nozzle Schedule 160
Nozzle Class 300Layout Angle 0.0
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 0.0000 kgf
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 10
Detail Type Nozzle
Detail ID N3
Dist. from "FROM" Node / Offset dist 100.00 mm
Nozzle Diameter 50.0 mm
Nozzle Schedule 160
Nozzle Class 300
Layout Angle 0.0
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 0.0000 kgf
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
--------------------------------------------------------------------
Element From Node 20
Element To Node 30
Element Type Cylinder
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Description SHELL
Distance "FROM" to "TO" 1600.0 mm
Element Outside Diameter 323.90 mm
Element Thickness 10.310 mmInternal Corrosion Allowance 3.0000 mm
Nominal Thickness 10.310 mm
External Corrosion Allowance 0.0000 mm
Design Internal Pressure 35.000 kgf/cm
Design Temperature Internal Pressure 90 C
Design External Pressure 0.0000 kgf/cm
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name SA-106 B
Allowable Stress, Ambient 1202.2 kgf/cm
Allowable Stress, Operating 1202.2 kgf/cm
Allowable Stress, Hydrotest 2214.7 kgf/cm
Material Density 0.007750 kgm/cm
P Number Thickness 31.750 mm
Yield Stress, Operating 2263.6 kgf/cm
UCS-66 Chart Curve Designation B
External Pressure Chart Name CS-2
UNS Number K03006
Product Form Smls. pipe
Efficiency, Longitudinal Seam 1.0
Efficiency, Circumferential Seam 1.0
Element From Node 20
Detail Type Liquid
Detail ID FLUID2Dist. from "FROM" Node / Offset dist 0.0000 mm
Height/Length of Liquid 1600.0 mm
Liquid Density 1018.0 kgm/m
Element From Node 20
Detail Type Nozzle
Detail ID N1
Dist. from "FROM" Node / Offset dist 1390.0 mm
Nozzle Diameter 50.0 mm
Nozzle Schedule 160
Nozzle Class 300
Layout Angle 90.0
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 0.0000 kgf
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 20
Detail Type Nozzle
Detail ID N2
Dist. from "FROM" Node / Offset dist 135.00 mm
Nozzle Diameter 50.0 mm
Nozzle Schedule 160
Nozzle Class 300
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Layout Angle 270.0
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 0.0000 kgf
Grade of Attached Flange GR 1.1Nozzle Matl SA-106 B
Element From Node 20
Detail Type Leg
Detail ID LEGS
Dist. from "FROM" Node / Offset dist 200.00 mm
Diameter at Leg Centerline 376.64 mm
Leg Orientation 3
Number of Legs 4
Section Identifier L2X2X0.2500
Length of Legs 1000.0 mm
Element From Node 20
Detail Type Weight
Detail ID SUPPORT
Dist. from "FROM" Node / Offset dist 200.00 mm
Miscellaneous Weight 14.000 kgf
Offset from Element Centerline 0.0000 mm
Element From Node 20
Detail Type Weight
Detail ID FILTER
Dist. from "FROM" Node / Offset dist 733.00 mm
Miscellaneous Weight 300.00 kgf
Offset from Element Centerline 0.0000 mm
--------------------------------------------------------------------
Element From Node 30
Element To Node 40
Element Type Flange
Description BODY FLANGE
Distance "FROM" to "TO" 73.000 mm
Flange Inside Diameter 327.00 mm
Element Thickness 49.300 mm
Internal Corrosion Allowance 3.0000 mm
Nominal Thickness 49.300 mm
External Corrosion Allowance 0.0000 mm
Design Internal Pressure 35.000 kgf/cm
Design Temperature Internal Pressure 90 C
Design External Pressure 0.0000 kgf/cm
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name [Normalized] SA-105
Allowable Stress, Ambient 1406.1 kgf/cm
Allowable Stress, Operating 1406.1 kgf/cm
Allowable Stress, Hydrotest 2277.9 kgf/cm
Material Density 0.007750 kgm/cm
P Number Thickness 31.750 mm
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Yield Stress, Operating 2326.9 kgf/cm
UCS-66 Chart Curve Designation C
External Pressure Chart Name CS-2
UNS Number K03504Product Form Forgings
Perform Flange Stress Calculation (Y/N) Y
Weight of ANSI B16.5/B16.47 Flange 0.0000 kgf
Class of ANSI B16.5/B16.47 Flange
Grade of ANSI B16.5/B16.47 Flange
Element From Node 30
Detail Type Liquid
Detail ID FLUID3
Dist. from "FROM" Node / Offset dist 0.0000 mm
Height/Length of Liquid 73.000 mm
Liquid Density 1018.0 kgm/m
--------------------------------------------------------------------
Element From Node 40
Element To Node 50
Element Type Flange
Description BLIND
Distance "FROM" to "TO" 51.300 mm
Flange Inside Diameter 520.00 mm
Element Thickness 49.300 mm
Internal Corrosion Allowance 3.0000 mm
Nominal Thickness 49.300 mm
External Corrosion Allowance 0.0000 mmDesign Internal Pressure 35.000 kgf/cm
Design Temperature Internal Pressure 90 C
Design External Pressure 0.0000 kgf/cm
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name [Normalized] SA-105
Perform Flange Stress Calculation (Y/N) Y
Weight of ANSI B16.5/B16.47 Flange 0.0000 kgf
Class of ANSI B16.5/B16.47 Flange
Grade of ANSI B16.5/B16.47 Flange
Element From Node 40
Detail Type Nozzle
Detail ID N5
Dist. from "FROM" Node / Offset dist 100.00 mm
Nozzle Diameter 50.0 mm
Nozzle Schedule 160
Nozzle Class 300
Layout Angle 0.0
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 0.0000 kgf
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
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PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012
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Flg Calc [Int P] : FLANGE Flng: 8 1:42p Jul 14,2013
Basic Gasket Width, bo = N / 2 8.700 mm
Effective Gasket Width, b = Cb sqrt(bo) 7.433 mm
Gasket Reaction Diameter, G = Go - 2 * b 359.835 mm
Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G * Peq
= 0.785 * 359.8346 * 35.000
= 35592.887 kgf
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P
= 2 * 7.4327 * 3.1416 * 359.8346 * 2.5000 * 35.00
= 14704.051 kgf
Hydrostatic End Load at Flange ID [Hd]:
= Pi * Bcor * P / 4
= 3.1416 * 309.2800 *35.0000/4
= 26294.264 kgf
Pressure Force on Flange Face [Ht]:
= H - Hd
= 35592 - 26294
= 9298.622 kgf
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 35592 + 14704 + 0 , 0 )
= 50296.934 kgf
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 703.07*7.4327*3.141*359.835+0.00*0.0000*0.00= 59074.152 kgf
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 50296/1757 , 59074/1757
= 33.609 cm
ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]:
= 2a + 6t/(m + 0.5)
= 2 * 28.575 + 6 * 49.300/(2.50 + 0.5)
= 155.750 mm
Actual Circumferential Bolt Spacing [Bs]:
= C * sin( pi / n ) )
= 450.800 * sin( 3.142/16 )
= 87.947 mm
ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]:
= max( sqrt( Bs/( 2a + t )), 1 )
= max( sqrt( 87.947/( 2 * 28.575 + 49.300 )), 1 )
= 1.0000
Bolting Information for UNC Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
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Flg Calc [Int P] : FLANGE Flng: 8 1:42p Jul 14,2013
-----------------------------------------------------------------------------
Bolt Area, cm 33.609 71.535
Radial distance bet. hub and bolts 38.100 37.900
Radial distance bet. bolts and the edge 28.575 34.600Circumferential spacing between bolts 63.500 87.947 155.750
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 71.535 * 1757.68/(703.07 * 3.14 * (374.700 + 339.90 ) )
= 7.966 mm
Flange Design Bolt Load, Gasket Seating [W]:
= Sa * ( Am + Ab ) / 2
= 1757.68 * ( 33.6093 + 71.5353 )/2
= 92404.93 kgf
Gasket Load for the Operating Condition [HG]:
= Wm1 - H
= 50296 - 35592
= 14704.05 kgf
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 450.8000 - 359.8346 )/2
= 45.4827 mm
Distance to Face Pressure Reaction [ht]:
= ( R + g1 + hg ) / 2
= ( 37.9000 + 32.8600 + 45.4827 )/2= 58.1213 mm
Distance to End Pressure Reaction [hd]:
= R + ( g1 / 2 )
= 37.9000 + ( 32.8600/2.0 )
= 54.3300 mm
Summary of Moments for Internal Pressure:
Loading Force Distance Bolt Corr Moment
End Pressure, Md 26294. 54.3300 1.0000 1429. kgf-m.
Face Pressure, Mt 9299. 58.1213 1.0000 540. kgf-m.
Gasket Load, Mg 14704. 45.4827 1.0000 669. kgf-m.
Gasket Seating, Matm 92405. 45.4827 1.0000 4203. kgf-m.
Total Moment for Operation, Mop 2638. kgf-m.
Total Moment for Gasket seating, Matm 4203. kgf-m.
Effective Hub Length, ho = sqrt(Bcor*goCor) 89.483 mm
Hub Ratio, h/h0 = HL / H0 0.243
Thickness Ratio, g1/g0 = (g1Cor/goCor) 1.269
Flange Factors for Integral Flange:
Factor F per 2-7.2 0.894
Factor V per 2-7.3 0.445
Factor f per 2-7.6 1.000
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Flg Calc [Int P] : FLANGE Flng: 8 1:42p Jul 14,2013
Factors from Figure 2-7.1 K = 1.681
T = 1.633 U = 4.298
Y = 3.911 Z = 2.095
d = .57944E+06 mm e = 0.0100 mm ^-1Stress Factors ALPHA = 1.493
BETA = 1.657 GAMMA = 0.914
DELTA = 0.207 Lamda = 1.121
Longitudinal Hub Stress, Operating [SHo]:
= ( f * Mop / Bcor ) / ( L * g1 )
= (1.0000*2637/309.2800)/(1.1208*32.8600)
= 704.72 kgf/cm
Longitudinal Hub Stress, Seating [SHa]:
= ( f * Matm / Bcor ) / ( L * g1 )
= (1.0000*4202/309.2800)/(1.1208*32.8600)
= 1122.84 kgf/cm
Radial Flange Stress, Operating [SRo]:
= ( Beta * Mop / Bcor ) / ( L * t )
= (1.6570*2637/309.2800)/(1.1208*49.3000)
= 518.76 kgf/cm
Radial Flange Stress, Seating [SRa]:
= ( Beta * Matm/Bcor ) / ( L * t )
= (1.6570*4202/309.2800)/(1.1208*49.3000)
= 826.55 kgf/cm
Tangential Flange Stress, Operating [STo]:
= ( Y * Mo / (t * Bcor) ) - Z * SRo
= (3.9109*2637/(49.3000*309.2800))-2.0948*518= 285.70 kgf/cm
Tangential Flange Stress, Seating [STa]:
= ( y * Matm / (t * Bcor) ) - Z * SRa
= (3.9109*4202/(49.3000*309.2800))-2.0948*826
= 455.20 kgf/cm
Average Flange Stress, Operating [SAo]:
= ( SHo + max( SRo, STo ) ) / 2
= (704+max(518,285))/2
= 611.74 kgf/cm
Average Flange Stress, Seating [SAa]:
= ( SHa + max( SRa, STa ) ) / 2
= (1122+max(826,455))/2
= 974.70 kgf/cm
Bolt Stress, Operating [BSo]:
= ( Wm1 / Ab )
= (50296/71.5353)
= 703.11 kgf/cm
Bolt Stress, Seating [BSa]:
= ( Wm2 / Ab )
= (59074/71.5353)
= 825.80 kgf/cm
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Flg Calc [Int P] : FLANGE Flng: 8 1:42p Jul 14,2013
Stress Computation Results: Operating Gasket Seating
Actual Allowed Actual Allowed
Longitudinal Hub 705. 1803. 1123. 1803. kgf/cm
Radial Flange 519. 1406. 827. 1406. kgf/cmTangential Flange 286. 1406. 455. 1406. kgf/cm
Maximum Average 612. 1406. 975. 1406. kgf/cm
Bolting 703. 1758. 826. 1758. kgf/cm
Minimum Required Flange Thickness 39.243 mm
Estimated M.A.W.P. ( Operating ) 80.5 kgf/cm
Estimated Finished Weight of Flange at given Thk. 59.3 kgm
Estimated Unfinished Weight of Forging at given Thk 77.1 kgm
Flange Rigidity Based on Required Thickness [ASME]:
Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]:
= 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go^(2) * ho * Ki )
= 52.14 * 4202.8/1.0000 * 100000.023 * 0.445/( 0.957 * 2067025 *
25.890^(2) * 89.483 * 0.300 )
= 0.274 (should be
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Flg Calc [Int P] : FLANGE Flng: 9 1:42p Jul 14,2013
Flange Input Data Values Description: FLANGE :
BLIND
Description of Flange Geometry (Type) Blind
Design Pressure P 35.00 kgf/cm
Design Temperature 90 C
Internal Corrosion Allowance ci 3.0000 mm
External Corrosion Allowance ce 0.0000 mm
Use Corrosion Allowance in Thickness Calcs. Yes
Flange Outside Diameter A 520.000 mm
Flange Thickness t 49.3000 mm
Flange Material SA-105
Flange Material UNS number K03504
Flange Allowable Stress At Temperature Sfo 1406.14 kgf/cm
Flange Allowable Stress At Ambient Sfa 1406.14 kgf/cm
Bolt Material SA-193 B7
Bolt Allowable Stress At Temperature Sb 1757.68 kgf/cm
Bolt Allowable Stress At Ambient Sa 1757.68 kgf/cm
Diameter of the Load Reaction, Long Span D 0.000 mm
Diameter of the Load Reaction, Short Span d 0.000 mm
Perimeter along the Center of the Bolts L 1416.230 mm
Diameter of Bolt Circle C 450.800 mmNominal Bolt Diameter dB 28.5750 mm
Type of Threads UNC Thread Series
Number of Bolts 16
Flange Face Outside Diameter Fod 381.000 mm
Flange Face Inside Diameter Fid 327.000 mm
Flange Facing Sketch 1, Code Sketch 1a
Gasket Outside Diameter Go 374.700 mm
Gasket Inside Diameter Gi 339.900 mm
Gasket Factor m 2.5000
Gasket Design Seating Stress y 703.07 kgf/cm
Column for Gasket Seating 2, Code Column II
Gasket Thickness tg 4.5000 mm
ASME Code, Section VIII, Division 1, 2010, 2011a
Gasket Contact Width, N = (Go - Gi) / 2 17.400 mm
Basic Gasket Width, bo = N / 2 8.700 mm
Effective Gasket Width, b = Cb sqrt(bo) 7.433 mm
Gasket Reaction Diameter, G = Go - 2 * b 359.835 mm
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Flg Calc [Int P] : FLANGE Flng: 9 1:42p Jul 14,2013
Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G * Peq= 0.785 * 359.8346 * 35.000
= 35592.887 kgf
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P
= 2 * 7.4327 * 3.1416 * 359.8346 * 2.5000 * 35.00
= 14704.051 kgf
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 35592 + 14704 + 0 , 0 )
= 50296.934 kgf
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 703.07*7.4327*3.141*359.835+0.00*0.0000*0.00
= 59074.152 kgf
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 50296/1757 , 59074/1757
= 33.609 cm
ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]:
= 2a + 6t/(m + 0.5)
= 2 * 28.575 + 6 * 46.300/(2.50 + 0.5)
= 149.750 mm
Actual Circumferential Bolt Spacing [Bs]:= C * sin( pi / n ) )
= 450.800 * sin( 3.142/16 )
= 87.947 mm
ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]:
= max( sqrt( Bs/( 2a + t )), 1 )
= max( sqrt( 87.947/( 2 * 28.575 + 46.300 )), 1 )
= 1.0000
Bolting Information for UNC Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
-----------------------------------------------------------------------------
Bolt Area, cm 33.609 71.535
Radial distance bet. bolts and the edge 28.575 34.600
Circumferential spacing between bolts 63.500 87.947 149.750
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 71.535 * 1757.68/(703.07 * 3.14 * (374.700 + 339.90 ) )
= 7.966 mm
Flange Design Bolt Load, Gasket Seating [W]:
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Flg Calc [Int P] : FLANGE Flng: 9 1:42p Jul 14,2013
= Sa * ( Am + Ab ) / 2
= 1757.68 * ( 33.6093 + 71.5353 )/2
= 92404.93 kgf
Gasket Load for the Operating Condition [HG]:= Wm1
= 50296.93 kgf
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 450.8000 - 359.8346 )/2
= 45.4827 mm
Tangential Flange Stress, Flat Head (UG-34), Operating [STo]:
= 1.9 * Wm1 * hG * Bcor/(t * G) + C * Z * Peq * G/t
= 1.9*50296*45.4827*1.0000/(46.3000*359.8346)+
0.30*1.0000*35.00*359.8346/46.3000
= 1197.69 kgf/cm
Tangential Flange Stress, Flat Head (UG-34), Seating [STa]:
= 1.9 * W * hG * Bcor / (t * G)
= 1.9*92404*45.4827*1.000/(46.3000*359.8346)
= 1035.21 kgf/cm
Bolt Stress, Operating [BSo]:
= ( Wm1 / Ab )
= (50296/71.5353)
= 703.11 kgf/cm
Bolt Stress, Seating [BSa]:= ( Wm2 / Ab )
= (59074/71.5353)
= 825.80 kgf/cm
Stress Computation Results: Operating Gasket Seating
Actual Allowed Actual Allowed
Tangential Flange 1198. 1406. 1035. 1406. kgf/cm
Bolting 703. 1758. 826. 1758. kgf/cm
Reqd. Blind Flange Thickness at Center 45.731 mm
Reqd. Blind Flange Thickness at Gasket 42.727 mm
Estimated M.A.W.P. ( Operating ) 41.1 kgf/cm
Estimated Finished Weight of Flange at given Thk. 81.1 kgm
Estimated Unfinished Weight of Forging at given Thk 81.1 kgm
Minimum Design Metal Temperature Results:
Stress Ratio = 1.000 , Temperature Reduction per Fig. UCS 66.1 = 0 C
Min Metal Temp. w/o impact per UCS-66 -39 C
Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -55 C
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Internal Pressure Calculations : Step: 5 1:42p Jul 14,2013
Element Thickness, Pressure, Diameter and Allowable Stress :
| | Int. Press | Nominal | Total Corr| Element | Allowable |From| To | + Liq. Hd | Thickness | Allowance | Diameter | Stress(SE)|
| | kgf/cm | mm | mm | mm | kgf/cm |
---------------------------------------------------------------------------
CAP| 35.177 | 10.310 | 3.0000 | 323.90 | 1202.2 |
SHELL| 35.163 | 10.310 | 3.0000 | 323.90 | 1202.2 |
BODY FLANG| 35.000 | 49.300 | 3.0000 | 327.00 | 1406.1 |
BLIND| 35.000 | 49.300 | 3.0000 | 520.00 | 1406.1 |
Element Required Thickness and MAWP :
| | Design | M.A.W.P. | M.A.P. | Minimum | Required |
From| To | Pressure | Corroded | New & Cold | Thickness | Thickness |
| | kgf/cm | kgf/cm | kgf/cm | mm | mm |
----------------------------------------------------------------------------
CAP| 35.0000 | 55.0946 | 81.1889 | 10.3100 | 7.50420 |
SHELL| 35.0000 | 55.1013 | 78.5371 | 10.3100 | 7.68187 |
BODY FLANG| 35.0000 | 80.4502 | 82.4378 | 49.3000 | 39.2430 |
BLIND| 35.0000 | 41.0909 | 46.5889 | 49.3000 | 45.7306 |
Minimum 41.091 46.589
MAWP: 41.091 kgf/cm, limited by: BLIND.
Internal Pressure Calculation Results :
ASME Code, Section VIII, Division 1, 2010, 2011a
Elliptical Head From 10 To 20 SA-234 WPB , UCS-66 Crv. B at 90 C
CAP
Longitudinal Joint: Seamless
Circumferential Joint: Full Radiography per UW-11(a) Type 1
Material UNS Number: K03006
Required Thickness due to Internal Pressure [tr]:
= (P*Do*Kcor)/(2*S*E+2*P*(Kcor-0.1)) per Appendix 1-4 (c)
= (35.177*323.9000*0.975)/(2*1202.25*1.00+2*35.177*(0.97-0.1))
= 4.5042 + 3.0000 = 7.5042 mm
Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:
Less Operating Hydrostatic Head Pressure of 0.177 kgf/cm
= (2*S*E*t)/(Kcor*Do-2*t*(Kcor-0.1)) per Appendix 1-4 (c)
= (2*1202.25*1.00*7.3100)/(0.975*323.9000-2*7.3100*(0.97-0.1))
= 58.015 - 0.177 = 57.838 kgf/cm
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (2*S*E*t)/(K*Do-2*t*(K-0.1)) per Appendix 1-4 (c)
= (2*1202.25*1.00*10.3100)/(1.000*323.9000-2*10.3100*(1.000-0.1))
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Internal Pressure Calculations : Step: 5 1:42p Jul 14,2013
= 81.189 kgf/cm
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(Kcor*Do-2*t*(Kcor-0.1)))/(2*E*t)= (35.177*(0.975*323.9000-2*7.3100*(0.975-0.1)))/(2*1.00*7.3100)
= 728.977 kgf/cm
Straight Flange Required Thickness:
= (P*Ro)/(S*E+0.4*P) + c per Appendix 1-1 (a)(1)
= (35.177*161.9500)/(1202.25*1.00+0.4*35.177)+3.000
= 7.684 mm
Straight Flange Maximum Allowable Working Pressure:
Less Operating Hydrostatic Head Pressure of 0.170 kgf/cm
= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1)
= (1202.25 * 1.00 * 7.3100 )/(161.9500 - 0.4 * 7.3100 )
= 55.264 - 0.170 = 55.095 kgf/cm
Factor K, corroded condition [Kcor]:
= ( 2 + ( Inside Diameter/( 2 * Inside Head Depth ))^(2))/6
= ( 2 + ( 309.280/( 2 * 78.820 ))^(2))/6
= 0.974867
MDMT Calculations in the Knuckle Portion:
Govrn. thk, tg = 10.310 , tr = 5.261 , c = 3.0000 mm , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.720 , Temp. Reduction = 16 C
Min Metal Temp. w/o impact per UCS-66 -28 CMin Metal Temp per UCS-66 and UCS-68(c),PWHT credit -45 C
Min Metal Temp. at Required thickness (UCS 66.1) -60 C
MDMT Calculations in the Head Straight Flange:
Govrn. thk, tg = 10.310 , tr = 5.484 , c = 3.0000 mm , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.750 , Temp. Reduction = 14 C
Min Metal Temp. w/o impact per UCS-66 -28 C
Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -45 C
Min Metal Temp. at Required thickness (UCS 66.1) -58 C
Cylindrical Shell From 20 To 30 SA-106 B , UCS-66 Crv. B at 90 C
SHELL
Longitudinal Joint: Seamless
Circumferential Joint: Full Radiography per UW-11(a) Type 1
Material UNS Number: K03006
Required Thickness due to Internal Pressure [tr]:
= (P*Ro) / (S*E+0.4*P) per Appendix 1-1 (a)(1)
= (35.163*161.9500)/(1202.25*1.00+0.4*35.163)
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Internal Pressure Calculations : Step: 5 1:42p Jul 14,2013
= 4.6819 + 3.0000 = 7.6819 mm
Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:
Less Operating Hydrostatic Head Pressure of 0.163 kgf/cm= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1)
= (1202.25*1.00*7.3100)/(161.9500-0.4*7.3100)
= 55.264 - 0.163 = 55.101 kgf/cm
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1)
= (1202.25*1.00*10.3100)/(161.9500-0.4*10.3100)
= 78.537 kgf/cm
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(Ro-0.4*t))/(E*t)
= (35.163*((161.9500-0.4*7.3100))/(1.00*7.3100)
= 764.954 kgf/cm
Minimum Design Metal Temperature Results:
Govrn. thk, tg = 10.310 , tr = 5.482 , c = 3.0000 mm , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.750 , Temp. Reduction = 14 C
Min Metal Temp. w/o impact per UCS-66 -28 C
Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -45 C
Min Metal Temp. at Required thickness (UCS 66.1) -58 C
Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F
Hydrostatic Test Pressure Results:
Pressure per UG99b = 1.3 * M.A.W.P. * Sa/S 53.418 kgf/cm
Pressure per UG99b[34] = 1.3 * Design Pres * Sa/S 45.500 kgf/cm
Pressure per UG99c = 1.3 * M.A.P. - Head(Hyd) 60.484 kgf/cm
Pressure per UG100 = 1.1 * M.A.W.P. * Sa/S 45.200 kgf/cm
Pressure per PED = 1.43 * MAWP 58.760 kgf/cm
Horizontal Test performed per: UG-99c
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 Hydrostatic Test Pressure:
From To Stress Allowable Ratio Pressure
CAP 896.1 2214.7 0.405 60.52
SHELL 926.4 2214.7 0.418 60.52
Elements Suitable for Internal Pressure.
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Element and Detail Weights : Step: 7 1:42p Jul 14,2013
Element and Detail Weights
| | Element | Element | Corroded | Corroded | Extra due |From| To | Metal Wgt. | ID Volume |Metal Wgt. | ID Volume | Misc % |
| | kgm | m | kgm | m | kgm |
---------------------------------------------------------------------------
10| 20| 14.6003 | 0.0082205 | 10.3519 | 0.0086223 | 0.73002 |
20| 30| 125.954 | 0.11285 | 90.1586 | 0.11736 | 6.29772 |
30| 40| 59.2850 | ... | 59.2850 | ... | 2.96425 |
40| 50| 81.1458 | ... | 81.1458 | ... | 4.05729 |
---------------------------------------------------------------------------
Total 280 0.12 240 0.13 14
Weight of Details
| | Weight of | X Offset, | Y Offset, |
From|Type| Detail | Dtl. Cent. |Dtl. Cent. | Description
| | kgm | mm | mm |
-------------------------------------------------
10|Liqd| 8.57087 | ... | -37.9100 | FLUID1
10|Nozl| 9.27871 | ... | -75.8200 | N6
10|Nozl| 7.58853 | 100.000 | -56.9971 | N3
20|Liqd| 117.664 | ... | 800.000 | FLUID2
20|Nozl| 5.39509 | 181.802 | 1390.00 | N1
20|Nozl| 5.39509 | 181.802 | 135.000 | N2
20|Legs| 24.5040 | ... | -300.000 | LEGS
20|Wght| 14.0000 | ... | 200.000 | SUPPORT
20|Wght| 300.000 | ... | 733.000 | FILTER30|Liqd| ... | ... | 36.5000 | FLUID3
40|Nozl| 5.36055 | ... | 1200.00 | N5
Total Weight of Each Detail Type
Total Weight of Liquid 126.2
Total Weight of Nozzles 33.0
Total Weight of Legs 24.5
Total Weight of Weights 314.0
---------------------------------------------------------------
Sum of the Detail Weights 497.8 kgm
Weight Summation
Fabricated Shop Test Shipping Erected Empty Operating
------------------------------------------------------------------------------
295.0 366.6 295.0 366.6 295.0 366.6
... 123.9 ... ... ... 126.2
33.0 ... 33.0 ... ... ...
24.5 ... 24.5 ... ... ...
... ... ... ... ... 300.0
... ... ... ... ... ...
... ... ... ... 33.0 ...
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14.0 ... 14.0 ... 24.5 ...
... ... ... ... 14.0 ...
------------------------------------------------------------------------------
366.6 490.5 366.6 366.6 366.6 792.8 kgm
Miscellaneous Weight Percent: 5.0 %
Note that the above value for the miscellaneous weight percent has
been applied to the shells/heads/flange/tubesheets/tubes etc. in the
weight calculations for metallic components.
Note: The shipping total has been modified because some items have
been specified as being installed in the shop.
Weight Summary
Fabricated Wt. - Bare Weight W/O Removable Internals 366.6 kgm
Shop Test Wt. - Fabricated Weight + Water ( Full ) 490.5 kgm
Shipping Wt. - Fab. Wt + Rem. Intls.+ Shipping App. 366.6 kgm
Erected Wt. - Fab. Wt + Rem. Intls.+ Insul. (etc) 366.6 kgm
Ope. Wt. no Liq - Fab. Wt + Intls. + Details + Wghts. 366.6 kgm
Operating Wt. - Empty Wt + Operating Liq. Uncorroded 792.8 kgm
Field Test Wt. - Empty Weight + Water (Full) 490.5 kgm
Mass of the Upper 1/3 of the Vertical Vessel 235.0 kgm
Outside Surface Areas of Elements
| | Surface |From| To | Area |
| | cm |
----------------------------
10| 20| 1808.81 |
20| 30| 16281.0 |
30| 40| 2462.34 |
40| 50| 2929.10 |
---------------------------
Total 23481.244 cm
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 | kgf-m. | kgm |
---------------------------------------------------------------------------
10| 20| 32.1976 | 40.7685 | 40.6131 | 0.75885 | 32.1976 |
20|Legs| 19.6303 | 71.8383 | 34.0718 | 0.24521 | 57.1303 |
Legs| 30| 137.412 | 502.868 | 238.503 | 1.71647 | 399.912 |
30| 40| 62.2492 | 62.2492 | 62.2492 | ... | 62.2492 |
40| 50| 90.5636 | 90.5636 | 90.5636 | ... | 90.5636 |
Cumulative Vessel Weight
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Element and Detail Weights : Step: 7 1:42p Jul 14,2013
| | Cumulative Ope | Cumulative | Cumulative |
From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. |
| | kgm | kgm | kgm |
-------------------------------------------------------10| 20| ... | ... | ... |
20|Legs| -32.1976 | -40.7685 | -40.6131 |
Legs| 30| 552.725 | 655.681 | 391.315 |
30| 40| 152.813 | 152.813 | 152.813 |
40| 50| 90.5636 | 90.5636 | 90.5636 |
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.|
| | kgf-m. | kgf-m. | kgf-m. |
-------------------------------------------------
10| 20| 0.75885 | 0.75885 | 0.75885 |
20|Legs| 1.00406 | 1.00406 | 1.00406 |
Legs| 30| 1.71647 | 1.71647 | 1.71647 |
30| 40| ... | ... | ... |
40| 50| ... | ... | ... |
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Nozzle Flange MAWP : Step: 8 1:42p Jul 14,2013
Nozzle Flange MAWP Results :
Nozzle ----- Flange RatingDescription Operating Ambient Temperature Class Grade|Group
kgf/cm kgf/cm C
----------------------------------------------------------------------------
N6 48.2 52.1 90 300 GR 1.1
N3 48.2 52.1 90 300 GR 1.1
N1 48.2 52.1 90 300 GR 1.1
N2 48.2 52.1 90 300 GR 1.1
N5 48.2 52.1 90 300 GR 1.1
----------------------------------------------------------------------------
Minimum Rating 48.2 52.1 kgf/cm
Note: ANSI Ratings are per ANSI/ASME B16.5 2009 Metric Edition
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Wind Load Calculation : Step: 10 1:42p Jul 14,2013
Input Values:
Wind Design Code ASCE-7 98/02/05/IBC-03/STS-1Basic Wind Speed [V] 33.100 m/sec
Surface Roughness Category C: Open Terrain
Importance Factor 1.0
Type of Surface Moderately Smooth
Base Elevation 10000. mm
Percent Wind for Hydrotest 33.0
Using User defined Wind Press. Vs Elev. N
Height of Hill or Escarpment H or Hh 0.0000 mm
Distance Upwind of Crest Lh 0.0000 mm
Distance from Crest to the Vessel x 0.0000 mm
Type of Terrain ( Hill, Escarpment ) Flat
Damping Factor (Beta) for Wind (Ope) 0.0100
Damping Factor (Beta) for Wind (Empty) 0.0000
Damping Factor (Beta) for Wind (Filled) 0.0000
Wind Analysis Results
Static Gust-Effect Factor, Operating Case [G]:
= min(0.85, 0.925((1 + 1.7 * gQ * Izbar * Q )/( 1 + 1.7 * gV * Izbar)))
= min(0.85,0.925((1+1.7*3.400*0.228*0.978)/(1+1.7*3.400*0.228)))
= min(0.85, 0.913 )
= 0.850
Natural Frequency of Vessel (Operating) 10.877 Hz
Natural Frequency of Vessel (Empty) 11.647 HzNatural Frequency of Vessel (Test) 13.467 Hz
Note: Per Section 1609 of IBC 2003/06/09 these results are also applicable
for the determination of Wind Loads on structures (1609.1.1).
User Entered Importance Factor is 1.000
Force Coefficient [Cf] 0.568
Structure Height to Diameter ratio 5.108
Height to top of Structure 1717.300 mm
This is classified as a rigid structure. Static analysis performed.
Sample Calculation for the First Element
The ASCE code performs all calculations in Imperial Units
only. The wind pressure is therefore computed in these units.
Value of [Alpha] and [Zg]:
Exposure Category: C from Table C6-2
Alpha = 9.500 : Zg = 274320.000 mm
Effective Height [z]:
= Centroid Height + Vessel Base Elevation
= 83.924 + 10000.000 = 10083.924 mm
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Wind Load Calculation : Step: 10 1:42p Jul 14,2013
= 33.084 ft. Imperial Units
Velocity Pressure coefficient evaluated at height z [Kz]:
Because z (33.084 ft.) > 15 ft.= 2.01 * ( z / Zg ) ^(2 / Alpha)
= 2.01 * ( 33.084/900.000 )^(2/9.500 )
= 1.003
Type of Hill: No Hill
Wind Directionality Factor [Kd]:
= 0.95 per [6-6 ASCE-7 98][6-4 ASCE-7 02/05]
As there is No Hill Present: [Kzt]:
K1 = 0, K2 = 0, K3 = 0
Topographical Factor [Kzt]:
= ( 1 + K1 * K2 * K3 )
= ( 1 + 0.000 * 0.000 * 0.000 )
= 1.0000
Velocity Pressure evaluated at height z, Imperial Units [qz]:
= 0.00256 * Kz * Kzt * Kd * I * Vr(mph)
= 0.00256 * 1.003 * 1.000 * 0.950 * 1.000 * 74.044
= 13.4 psf [65.276 ] kgf/m
Force on the first element [F]:
= qz * G * Cf * WindArea
= 13.370 * 0.850 * 0.568 * 0.559= 3.6 lbs. [1.6 ] kgf
Element Hgt (z) K1 K2 K3 Kz Kzt qz
mm kgf/m
---------------------------------------------------------------------------
CAP 10083.9 0.000 0.000 0.000 1.003 1.000 65.276
SHELL 10941.8 0.000 0.000 0.000 1.020 1.000 66.407
BODY FLANGE 11705.3 0.000 0.000 0.000 1.035 1.000 67.357
BLIND 11767.5 0.000 0.000 0.000 1.036 1.000 67.432
Wind Vibration Calculations
This evaluation is based on work by Kanti Mahajan and Ed Zorilla
Nomenclature
Cf - Correction factor for natural frequency
D - Average internal diameter of vessel mm
Df - Damping Factor < 0.75 Unstable, > 0.95 Stable
Dr - Average internal diameter of top half of vessel mm
f - Natural frequency of vibration (Hertz)
f1 - Natural frequency of bare vessel based on a unit value of (D/L)(10^(4))
L - Total height of structure mm
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Wind Load Calculation : Step: 10 1:42p Jul 14,2013
Lc - Total length of conical section(s) of vessel mm
tb - Uncorroded plate thickness at bottom of vessel mm
V30 - Design Wind Speed provided by user m/sec
Vc - Critical wind velocity m/secVw - Maximum wind speed at top of structure m/sec
W - Total corroded weight of structure kgf
Ws - Cor. vessel weight excl. weight of parts which do not effect stiff. kgf
Z - Maximum amplitude of vibration at top of vessel mm
Dl - Logarithmic decrement ( taken as 0.03 for Welded Structures )
Vp - Vib. Chance, 0.400E-06 no chance. [Vp]:
= W / ( L * Dr)
= 750/( 1717.30 * 309.280 )
= 0.45703E-05
Since Vp is > 0.400E-06 no further vibration analysis is required !
Wind Loads on Masses/Equipment/Piping
ID Wind Area Elevation Pressure Force
cm mm kgf/m kgf
-------------------------------------------------------------------------
SUPPORT 0.00 10266.00 65.52 0.00
FILTER 0.00 10799.00 66.22 0.00
The Natural Frequency for the Vessel (Ope...) is 10.8771 Hz.
Wind Load Calculation
| | Wind | Wind | Wind | Wind | Element |
From| To | Height | Diameter | Area | Pressure | Wind Load |
| | mm | mm | cm | kgf/m | kgf |
---------------------------------------------------------------------------
10| 20| 10083.9 | 388.680 | 519.457 | 65.2756 | 1.63843 |
20| 30| 10941.8 | 388.680 | 6218.88 | 66.4074 | 19.9552 |
30| 40| 11705.3 | 363.936 | 265.673 | 67.3571 | 0.86469 |
40| 50| 11767.5 | 363.936 | 186.699 | 67.4323 | 0.60833 |
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Earthquake Load Calculation : Step: 11 1:42p Jul 14,2013
Note: Loads multiplied by the Scalar multiplier value of 0.7143
Earthquake Analysis Results per UBC 1997
The UBC Zone Factor for the Vessel is ............. 0.0750
The Importance Factor as Specified by the User is . 1.250
The UBC Force Factor as Specified by the User is .. 2.900
The UBC Total Weight (W) for the Vessel is ........ 768.3 kgf
The UBC Total Shear (V) for the Vessel is ......... 71.0 kgf
The UBC Top Shear (Ft) for the Vessel is .......... 0.0 kgf
The UBC Seismic Coefficient Value Ca is ........... 0.120
The UBC Seismic Coefficient Value Cv is ........... 0.180
Note: The base shear and top load printed above have been modified
by the user defined Earthquake scalar.
Calculation Steps for Computing the design Base Shear (V) per UBC 1997
Computation of V per equation (30-4):
V = Cv * I * W / ( R * T )
V = 0.180 * 1.250 * 768/( 2.900 * 0.0919 )
V = 648.4 kgf
Computation of V per equation (30-5):
V = 2.5 * Ca * I * W / R
V = 2.5 * 0.120 * 1.25 * 768/2.900
V = 99.3 kgf
The computed base shear is the minimum of V from 30-4 and 30-5.
Computation of V per equation (34-2), minimum V. V cannot be less than
this value !
V = 0.56 * Ca * I * W
V = 0.56 * 0.120 * 1.250 * 768
V = 64.5 kgf
Total Adjusted Base Shear V:
= V * Scalar Multiplier = 99.3 * 0.7143 = 71.0 kgf
Next compute the top load per equation 30-14. The top load is
zero if the period of vibration (T) is less than 0.7 seconds.
Note: This value does not need to exceed 0.25V.
Ft = Min( 0.07 * T * V, 0.25 * V )
Ft = Min( 0.07 * 0.092 * 99 , 0.25 * 99 )
Ft = 0.0 kgf
Next Sum the earthquake weights times their heights (wi*hi):
Current Sum = Prev. Sum + Wght 41. * Hght 33.000 = 1.
Current Sum = Prev. Sum + Wght 72. * Hght 266.000 = 20.
Current Sum = Prev. Sum + Wght 503. * Hght 966.000 = 506.
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Earthquake Load Calculation : Step: 11 1:42p Jul 14,2013
Current Sum = Prev. Sum + Wght 62. * Hght 1702.500 = 612.
Current Sum = Prev. Sum + Wght 91. * Hght 1691.650 = 765.
Compute the load at each level based on equation 30-15 and multiplyby the load case scalar. The sum will be the total adjusted shear.
Fx = (( V - Ft ) * wx * hx / ( sum of ( wi * hi ))) * EqFact
Fx = [(99.) * 41. * 33.000/765.]*0.7143 = 0.
Fx = [(99.) * 72. * 266.000/765.]*0.7143 = 2.
Fx = [(99.) * 503. * 966.000/765.]*0.7143 = 45.
Fx = [(99.) * 62. * 1702.500/765.]*0.7143 = 10.
Fx = [(99.) * 91. * 1691.650/765.]*0.7143 = 14.
The Natural Frequency for the Vessel (Ope...) is 10.8771 Hz.
Earthquake Load Calculation
| | Earthquake | Earthquake | Element | Element |
From| To | Height | Weight | Ope Load | Emp Load |
| | mm | kgf | kgf | kgf |
--------------------------------------------------------------
10| 20| 33.0000 | 40.7685 | 0.12473 | 0.084302 |
20|Legs| 266.000 | 71.8383 | 1.77167 | 0.41429 |
Legs| 30| 966.000 | 502.868 | 45.0378 | 10.5318 |
30| 40| 1702.50 | 62.2492 | 9.82578 | 8.40855 |
40| 50| 1691.65 | 90.5636 | 14.2040 | 12.1553 |
Top Load 2378.30 0 0
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Wind/Earthquake Shear, Bending : Step: 12 1:42p Jul 14,2013
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 | kgf | kgf | kgf-m. | kgf-m. |
---------------------------------------------------------------------------
10| 20| 268.206 | ... | ... | ... | ... |
20|Legs| 100.000 | 1.63843 | 0.12473 | 0.0036140 | 0.00027513 |
Legs| 30| 700.000 | 20.5723 | 69.1923 | 13.6881 | 64.9715 |
30| 40| 1363.50 | 1.47302 | 24.0298 | 0.091573 | 1.75987 |
40| 50| 1425.65 | 0.60833 | 14.2040 | 0.015604 | 0.36433 |
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Wind Deflection : Step: 13 1:42p Jul 14,2013
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 |
| | kgf | mm | mm | |
--------------------------------------------------------------
10| 20| ... | 0.57048 | 0.57048 | 0.00085436 |
20|Legs| 1.63843 | 0.57052 | 0.57065 | 0.00085597 |
Legs| 30| 20.5723 | 0.57325 | 0.57717 | 0.00086013 |
30| 40| 1.47302 | 0.57695 | 0.57674 | 0.00086013 |
40| 50| 0.60833 | 0.57689 | 0.57704 | 0.00086013 |
Critical Wind Velocity for Tower Vibration
| | 1st Crit. | 2nd Crit. |
From| To | Wind Speed | Wind Speed |
| | m/sec | m/sec |
-------------------------------------
10| 20| 21.0817 | 131.761 |
20| 30| 21.0817 | 131.761 |
30| 40| 19.7396 | 123.373 |
40| 50| 19.7396 | 123.373 |
Allowable deflection at the Tower Top (Ope)( 6.000"/100ft. Criteria)
Allowable deflection : 8.587 Actual Deflection : 0.577 mm
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Center of Gravity Calculation : Step: 18 1:42p Jul 14,2013
Shop/Field Installation Options :
Note : The CG is computed from the first Element From Node
Center of Gravity of Liquid 804.628 mm
Center of Gravity of Nozzles 701.647 mm
Center of Gravity of Legs -234.000 mm
Center of Gravity of Added Weights (Operating) 775.236 mm
Center of Gravity of Added Weights (Empty) 266.000 mm
Center of Gravity of Bare Shell New and Cold 1220.357 mm
Center of Gravity of Bare Shell Corroded 1294.580 mm
Vessel CG in the Operating Condition 907.056 mm
Vessel CG in the Fabricated (Shop/Empty) Condition 1039.961 mm
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Leg Check, (Operating Case) : Step: 19 1:42p Jul 14,2013
RESULTS FOR LEGS : Operating Case Description: LEGS
Legs attached to: SHELL
Section Properties : Single Angle L2X2X0.2500
USA AISC 1989 Steel Table
Overall Leg Length 1000.000 mm
Effective Leg Length Leglen 870.000 mm
Distance Leg Up Side of Vessel 200.000 mm
Number of Legs Nleg 4
Cross Sectional Area for L2X2X0.2500 Aleg 6.052 cm
Section Inertia ( strong axis ) 14.485 cm**4
Section Inertia ( weak axis ) 14.485 cm**4
Section Modulus ( strong axis ) 4047.604 mm
Section Modulus ( weak axis ) 4047.604 mm
Radius of Gyration ( strong axis ) 15.469 mm
Radius of Gyration ( weak axis ) 15.469 mm
Leg Orientation - Diagonal
Overturning Moment at top of Legs 65.0 kgf-m.
Total Weight Load at top of Legs W 769.5 kgf
Total Shear force at top of Legs 71.0 kgf
Additional force in Leg due to Bracing Fadd 0.0 kgf
Occasional Load Factor Occfac 1.333
Effective Leg End Condition Factor k 1.000
Note: The Legs are Not Cross Braced
The Leg Shear Force includes Wind and Seismic Effects
Pad Width along Circumference C11P 100.000 mm
Pad Length along Vessel Axis C22P 150.000 mm
Pad Thickness Tpad 10.310 mm
Maximum Shear at top of one Leg [Vleg]:
= ( Max(Wind, Seismic) + Fadd ) * ( Imax / Itot )
= ( 71.0 + 0.0 ) * ( 23.0/57.87 )
= 28.16 kgf
Axial Compression, Leg futhest from N.A. [Sma]
= ((W/Nleg)+(Mleg/(Nlegm*Rn)))/Aleg)
= ((769 / 4 ) + (64 /( 2 * 188.32 )))/ 6.052 )
= 60.29 kgf/cm
Axial Compression, Leg closest to N.A. [Sva]
= ( W / Nleg ) / Aleg
= ( 769 / 4 ) / 6.052
= 31.79 kgf/cm
Computing Principal Axis and Inertias for Angle.
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Leg Check, (Operating Case) : Step: 19 1:42p Jul 14,2013
Leg lengths and thickness: 50.800 50.800 6.3500
Distance to geometric centroid: 15.037 15.037
Arm about YY: 11.862 13.538
Arm about ZZ: 10.363 11.862Leg areas: 3.2258 2.8226
Geometric inertia components YY: 4.6472 9.8207
Geometric inertia components ZZ: 10.402 4.0663
Geometric inertias Iy & Iz: 14.468 14.468
Product of inertia: 84981.
Mohrs Radius: 5.1858
Average Inertia: 14.468
QFACT = 1.0000 FBZ = 1.5358
Principal Axis Inertias (Z&W) = 5.9698 22.966
Angle to Principal Axis = 45.000
Distances to extreme fibers CW & CZ = 35.921 14.656
FOB from Eq 5-5 = 14.497
Bending allowables Fby & Fbz = 1.5358 1.5358
Shear Center Coordinates Wo & Zo: 16.187 0.0000
Values for Elastic Flexural-Torsional Buckling Stress:
E, G, J, R0: 29500. 11346. 0.19542E-01 1.1473
AREA, LENGTH, Kw, Kz: 0.93800 34.252 1.0000 1.0000
H, Few, Fez, Fej: 0.64600 145.98 37.947 206.04
Fe computed from C4-1: 106.10
Initial (Kl/r)max, & (Kl/r)equiv = 87.594 52.384
Final (Kl/r)max, & Cc = 87.594 132.64
Fa based on Eq 4-1 = 0.96871
Actual Allowable
Weak Axis Bending : 425.32 2047.16 kgf/cm
Strong Axis Bending : 270.97 2047.16 kgf/cm
Axial Compression : 60.29 1291.29 kgf/cm
UNITY CHECKS ARE: H1-1 0.000
H1-2 0.000
H1-3 0.387
AISC Unity Check : 0.387 Should be
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Leg Check, (Operating Case) : Step: 19 1:42p Jul 14,2013
Design Temperature 90.00 C
Attachment Type Type RectangularParameter C11 C11 71.84 mm
Parameter C22 C22 130.95 mm
Thickness of Reinforcing Pad Tpad 10.310 mm
Pad Parameter C11P C11p 100.000 mm
Pad Parameter C22P C22p 150.000 mm
Design Internal Pressure Dp 35.000 kgf/cm
Include Pressure Thrust No
Vessel Centerline Direction Cosine Vx 0.000
Vessel Centerline Direction Cosine Vy 1.000
Vessel Centerline Direction Cosine Vz 0.000
Nozzle Centerline Direction Cosine Nx 1.000
Nozzle Centerline Direction Cosine Ny 0.000
Nozzle Centerline Direction Cosine Nz 0.000
Global Force (SUS) Fx 0.0 kgf
Global Force (SUS) Fy 192.4 kgf
Global Force (SUS) Fz 0.0 kgf
Global Moment (SUS) Mx 0.0 kgf-m.
Global Moment (SUS) My 0.0 kgf-m.
Global Moment (SUS) Mz 5.1 kgf-m.
Internal Pressure (SUS) P 35.00 kgf/cmInclude Pressure Thrust No
Global Force (OCC) Fx 28.2 kgf
Global Force (OCC) Fy 172.5 kgf
Global Force (OCC) Fz 0.0 kgf
Global Moment (OCC) Mx 0.0 kgf-m.
Global Moment (OCC) My 0.0 kgf-m.
Global Moment (OCC) Mz 16.8 kgf-m.
Occasional Internal Pressure (OCC) Pvar 0.00 kgf/cm
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 192.4 kgf
Circumferential Moment MC 0.0 kgf-m.
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Longitudinal Moment ML -5.1 kgf-m.
Torsional Moment MT 0.0 kgf-m.
Dimensionless Parameters used : Gamma = 9.28
Dimensionless Loads for Cylindrical Shells at Attachment Junction:
-------------------------------------------------------------------
Curves read for 1979 Beta Figure Value Location
-------------------------------------------------------------------
N(PHI) / ( P/Rm ) 0.382 4C 1.335 (A,B)
N(PHI) / ( P/Rm ) 0.382 3C 0.942 (C,D)
M(PHI) / ( P ) 0.275 2C1 0.061 (A,B)
M(PHI) / ( P ) 0.275 1C 0.085 (C,D)
N(PHI) / ( MC/(Rm**2 * Beta) ) 0.268 3A ! 0.322 (A,B,C,D)
M(PHI) / ( MC/(Rm * Beta) ) 0.294 1A 0.090 (A,B,C,D)
N(PHI) / ( ML/(Rm**2 * Beta) ) 0.328 3B ! 1.132 (A,B,C,D)
M(PHI) / ( ML/(Rm * Beta) ) 0.314 1B 0.033 (A,B,C,D)
N(x) / ( P/Rm ) 0.332 3C 1.054 (A,B)
N(x) / ( P/Rm ) 0.332 4C 1.405 (C,D)
M(x) / ( P ) 0.341 1C1 0.070 (A,B)
M(x) / ( P ) 0.341 2C 0.045 (C,D)
N(x) / ( MC/(Rm**2 * Beta) ) 0.268 4A ! 0.589 (A,B,C,D)
M(x) / ( MC/(Rm * Beta) ) 0.362 2A 0.045 (A,B,C,D)
N(x) / ( ML/(Rm**2 * Beta) ) 0.328 4B ! 0.365 (A,B,C,D)
M(x) / ( ML/(Rm * Beta) ) 0.364 2B 0.049 (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 | (kgf/cm )
---------------|--------------------------------------------------------
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 | 3 3 -3 -3 0 0 0 0
Circ. Bend. ML | 6 -6 -6 6 0 0 0 0
|
Tot. Circ. Str.| 9.5 -3.0 -9.5 3.0 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
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Leg Check, (Operating Case) : Step: 19 1:42p Jul 14,2013
Long. Memb. ML | 1 1 -1 -1 0 0 0 0
Long. Bend. ML | 8 -8 -8 8 0 0 0 0
|
Tot. Long. Str.| 9.5 -6.5 -9.5 6.5 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 -4.2 -4.2 4.2 4.2
------------------------------------------------------------------------
Str. Int. | 9.49 6.52 9.49 6.52 8.34 8.34 8.34 8.34
------------------------------------------------------------------------
Dimensionless Parameters used : Gamma = 21.65
Dimensionless Loads for Cylindrical Shells at Pad edge:
-------------------------------------------------------------------
Curves read for 1979 Beta Figure Value Location
-------------------------------------------------------------------
N(PHI) / ( P/Rm ) 0.469 4C 2.076 (A,B)
N(PHI) / ( P/Rm ) 0.469 3C 1.006 (C,D)
M(PHI) / ( P ) 0.366 2C1 0.020 (A,B)
M(PHI) / ( P ) 0.366 1C ! 0.058 (C,D)
N(PHI) / ( MC/(Rm**2 * Beta) ) 0.362 3A 0.875 (A,B,C,D)
M(PHI) / ( MC/(Rm * Beta) ) 0.398 1A 0.070 (A,B,C,D)
N(PHI) / ( ML/(Rm**2 * Beta) ) 0.414 3B 1.525 (A,B,C,D)
M(PHI) / ( ML/(Rm * Beta) ) 0.407 1B 0.014 (A,B,C,D)
N(x) / ( P/Rm ) 0.421 3C 1.166 (A,B)N(x) / ( P/Rm ) 0.421 4C 2.270 (C,D)
M(x) / ( P ) 0.430 1C1 0.031 (A,B)
M(x) / ( P ) 0.430 2C ! 0.030 (C,D)
N(x) / ( MC/(Rm**2 * Beta) ) 0.362 4A 2.031 (A,B,C,D)
M(x) / ( MC/(Rm * Beta) ) 0.473 2A 0.029 (A,B,C,D)
N(x) / ( ML/(Rm**2 * Beta) ) 0.414 4B 0.768 (A,B,C,D)
M(x) / ( ML/(Rm * Beta) ) 0.451 2B 0.020 (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 | (kgf/cm )
---------------|--------------------------------------------------------
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
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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 | 26 -26 -26 26 0 0 0 0|
Tot. Long. Str.| 26.6 -18.8 -36.2 24.4 -3.8 1.1 -3.8 1.1
------------------------------------------------------------------------
Shear VC | 0 0 0 0 0 0 0 0
Shear VL | 0 0 0 0 -3 -3 3 3
Shear MT | 0 0 0 0 0 0 0 0
|
Tot. Shear| 0.0 0.0 0.0 0.0 -3.7 -3.7 3.7 3.7
------------------------------------------------------------------------
Str. Int. | 26.75 18.83 36.24 24.36 8.52 7.92 8.52 7.92
------------------------------------------------------------------------
Dimensionless Parameters used : Gamma = 21.65
Stress Concentration Factors Kn = 1.00, Kb = 1.00
Stresses in the Vessel at the Edge of Reinforcing Pad
------------------------------------------------------------------------
| Stress Values at
Type of | (kgf/cm )
---------------|--------------------------------------------------------
Stress Load| Au Al Bu Bl Cu Cl Du Dl
---------------|--------------------------------------------------------
Circ. Memb. P | -5 -5 -5 -5 -2 -2 -2 -2
Circ. Bend. P | -6 6 -6 6 -18 18 -18 18
Circ. Memb. MC | 0 0 0 0 0 0 0 0Circ. Bend. MC | 0 0 0 0 0 0 0 0
Circ. Memb. ML | 29 29 -29 -29 0 0 0 0
Circ. Bend. ML | 41 -41 -41 41 0 0 0 0
|
Tot. Circ. Str.| 59.9 -10.6 -82.7 13.2 -20.8 15.9 -20.8 15.9
------------------------------------------------------------------------
Long. Memb. P | -2 -2 -2 -2 -5 -5 -5 -5
Long. Bend. P | -9 9 -9 9 -9 9 -9 9
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 | 18 18 -18 -18 0 0 0 0
Long. Bend. ML | 53 -53 -53 53 0 0 0 0
|
Tot. Long. Str.| 60.1 -27.9 -85.5 42.0 -15.0 4.0 -15.0 4.0
------------------------------------------------------------------------
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 -7.9 -7.9 7.9 7.9
------------------------------------------------------------------------
Str. Int. | 60.05 27.94 85.51 42.05 26.28 19.80 26.28 19.80
------------------------------------------------------------------------
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Leg Check, (Operating Case) : Step: 19 1:42p Jul 14,2013
WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
------------------------------------------------------------------------Type of | Stress Values at
Stress Int. | (kgf/cm )
---------------|--------------------------------------------------------
Location | Au Al Bu Bl Cu Cl Du Dl
---------------|--------------------------------------------------------
Circ. Pm (SUS) | 290 325 290 325 290 325 290 325
Circ. Pm (OCC) | 0 0 0 0 0 0 0 0
Circ. Pm(TOTAL)| 290.6 325.6 290.6 325.6 290.6 325.6 290.6 325.6
Circ. Pl (SUS) | 3 3 -3 -3 0 0 0 0
Circ. Pl (OCC) | 9 9 -12 -12 0 0 0 0
Circ. Pl(TOTAL)| 12.7 12.7 -15.3 -15.3 -0.9 -0.9 -0.9 -0.9
Circ. Q (SUS) | 6 -6 -6 6 0 0 0 0
Circ. Q (OCC) | 17 -17 -23 23 -4 4 -4 4
Circ. Q (TOTAL)| 23.5 -23.5 -30.2 30.2 -4.6 4.6 -4.6 4.6
------------------------------------------------------------------------
Long. Pm (SUS) | 145 145 145 145 145 145 145 145
Long. Pm (OCC) | 0 0 0 0 0 0 0 0
Long. Pm(TOTAL)| 145.3 145.3 145.3 145.3 145.3 145.3 145.3 145.3
Long. Pl (SUS) | 1 1 -1 -1 0 0 0 0
Long. Pl (OCC) | 3 3 -5 -5 -1 -1 -1 -1
Long. Pl(TOTAL)| 5.4 5.4 -7.4 -7.4 -1.4 -1.4 -1.4 -1.4
Long. Q (SUS) | 8 -8 -8 8 0 0 0 0
Long. Q (OCC) | 22 -22 -30 30 -2 2 -2 2
Long. Q (TOTAL)| 30.7 -30.7 -38.3 38.3 -2.5 2.5 -2.5 2.5
------------------------------------------------------------------------Shear Pm (SUS) | 0 0 0 0 0 0 0 0
Shear Pm (OCC) | 0 0 0 0 0 0 0 0
Shear Pm(TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Shear Pl (SUS) | 0 0 0 0 -4 -4 4 4
Shear Pl (OCC) | 0 0 0 0 -3 -3 3 3
Shear Pl(TOTAL)| 0.0 0.0 0.0 0.0 -7.9 -7.9 7.9 7.9
Shear Q (SUS) | 0 0 0 0 0 0 0 0
Shear Q (OCC) | 0 0 0 0 0 0 0 0
Shear Q (TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
------------------------------------------------------------------------
Pm (SUS) | 290.6 325.6 290.6 325.6 290.6 325.6 290.6 325.6
------------------------------------------------------------------------
Pm (SUS+OCC) | 290.6 325.6 290.6 325.6 290.6 325.6 290.6 325.6
------------------------------------------------------------------------
Pm+Pl (SUS) | 293.9 328.9 287.4 322.4 290.7 325.7 290.7 325.7
------------------------------------------------------------------------
Pm+Pl (SUS+OCC)| 303.3 338.3 275.3 310.3 290.1 325.0 290.1 325.0
------------------------------------------------------------------------
Pm+Pl+Q (Total)| 326.8 314.8 245.1 340.5 285.5 329.7 285.5 329.7
------------------------------------------------------------------------
------------------------------------------------------------------------
Type of | Max. S.I. S.I. Allowable | Result
Stress Int. | kgf/cm |
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---------------|--------------------------------------------------------
Pm (SUS) | 325.62 1202.25 | Passed
Pm (SUS+OCC) | 325.62 1442.70 | Passed
Pm+Pl (SUS) | 328.87 1803.37 | PassedPm+Pl (SUS+OCC)| 338.32 2164.05 | Passed
Pm+Pl+Q (TOTAL)| 340.47 3606.75 | Passed
------------------------------------------------------------------------
WRC 107 Stress Summations:
Vessel Stress Summation at Reinforcing Pad Edge
------------------------------------------------------------------------
Type of | Stress Values at
Stress Int. | (kgf/cm )
---------------|--------------------------------------------------------
Location | Au Al Bu Bl Cu Cl Du Dl
---------------|--------------------------------------------------------
Circ. Pm (SUS) | 723 758 723 758 723 758 723 758
Circ. Pm (OCC) | 0 0 0 0 0 0 0 0
Circ. Pm(TOTAL)| 723.3 758.3 723.3 758.3 723.3 758.3 723.3 758.3
Circ. Pl (SUS) | 8 8 -8 -8 0 0 0 0
Circ. Pl (OCC) | 24 24 -34 -34 -2 -2 -2 -2
Circ. Pl(TOTAL)| 33.6 33.6 -43.7 -43.7 -2.4 -2.4 -2.4 -2.4
Circ. Q (SUS) | 12 -12 -12 12 0 0 0 0
Circ. Q (OCC) | 35 -35 -47 47 -18 18 -18 18
Circ. Q (TOTAL)| 47.8 -47.8 -60.5 60.5 -18.3 18.3 -18.3 18.3
------------------------------------------------------------------------
Long. Pm (SUS) | 361 361 361 361 361 361 361 361
Long. Pm (OCC) | 0 0 0 0 0 0 0 0Long. Pm(TOTAL)| 361.7 361.7 361.7 361.7 361.7 361.7 361.7 361.7
Long. Pl (SUS) | 5 5 -5 -5 0 0 0 0
Long. Pl (OCC) | 16 16 -21 -21 -5 -5 -5 -5
Long. Pl(TOTAL)| 21.8 21.8 -27.4 -27.4 -5.5 -5.5 -5.5 -5.5
Long. Q (SUS) | 16 -16 -16 16 0 0 0 0
Long. Q (OCC) | 43 -43 -63 63 -9 9 -9 9
Long. Q (TOTAL)| 60.3 -60.3 -80.0 80.0 -9.5 9.5 -9.5 9.5
------------------------------------------------------------------------
Shear Pm (SUS) | 0 0 0 0 0 0 0 0
Shear Pm (OCC) | 0 0 0 0 0 0 0 0
Shear Pm(TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Shear Pl (SUS) | 0 0 0 0 -8 -8 8 8
Shear Pl (OCC) | 0 0 0 0 -7 -7 7 7
Shear Pl(TOTAL)| 0.0 0.0 0.0 0.0 -16.6 -16.6 16.6 16.6
Shear Q (SUS) | 0 0 0 0 0 0 0 0
Shear Q (OCC) | 0 0 0 0 0 0 0 0
Shear Q (TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
------------------------------------------------------------------------
Pm (SUS) | 723.3 758.3 723.3 758.3 723.3 758.3 723.3 758.3
------------------------------------------------------------------------
Pm (SUS+OCC) | 723.3 758.3 723.3 758.3 723.3 758.3 723.3 758.3
------------------------------------------------------------------------
Pm+Pl (SUS) | 732.3 767.3 714.3 749.3 723.5 758.5 723.5 758.5
------------------------------------------------------------------------
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Pm+Pl (SUS+OCC)| 756.9 791.9 679.6 714.6 721.6 756.6 721.6 756.6
------------------------------------------------------------------------
Pm+Pl+Q (Total)| 804.8 744.1 619.1 775.1 703.3 774.9 703.3 774.9
------------------------------------------------------------------------
------------------------------------------------------------------------
Type of | Max. S.I. S.I. Allowable | Result
Stress Int. | kgf/cm |
---------------|--------------------------------------------------------
Pm (SUS) | 758.31 1202.25 | Passed
Pm (SUS+OCC) | 758.31 1442.70 | Passed
Pm+Pl (SUS) | 767.29 1803.37 | Passed
Pm+Pl (SUS+OCC)| 791.94 2164.05 | Passed
Pm+Pl+Q (TOTAL)| 804.78 3606.75 | Passed
------------------------------------------------------------------------
Bolting Size Requirement for Leg Baseplates :
Baseplate Material SA-36
Baseplate Allowable Stress SBA 1167.10 kgf/cm
Baseplate Length B 100.0000 mm
Baseplate Width D 115.0000 mm
Baseplate Thickness BTHK 12.7000 mm
Leg Dimension Along Baseplate Length d 50.8000 mm
Leg Dimension Along Baseplate Width b 50.8000 mm
Dist. from the Leg Edge to Bolt Hole Center z 25.0000 mm
Bolt Material SA-307 B
Bolt Allowable Stress STBA 492.15 kgf/cm
Anchor Bolt Nominal Diameter BOD 16.0000 mmNumber of Anchor Bolts in Tension per Leg NB 0
Total Number of Anchors Bolt per Leg NBT 1
Ultimate 28-day Concrete Strength FCPRIME 210.921 kgf/cm
Plate thickness required ( 1/2"; 13mm ) per D. Moss
Since there is only 1 bolt, the standard computation for this
geometry is not possible. A reasonable bolt size should be
selected. Per Megyesy, use a 1 inch (25.4 mm) bolt.
PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012
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Nozzle Calcs. : N6 Nozl: 6 1:42p Jul 14,2013
INPUT VALUES, Nozzle Description: N6 From : 10
Pressure for Reinforcement Calculations P 35.177 kgf/cmTemperature for Internal Pressure Temp 90 C
Maximum Allowable Pressure New & Cold 46.59 kgf/cm
Shell Material SA-234 WPB
Shell Allowable Stress at Temperature S 1202.25 kgf/cm
Shell Allowable Stress At Ambient Sa 1202.25 kgf/cm
Inside Diameter of Elliptical Head D 303.28 mm
Aspect Ratio of Elliptical Head Ar 2.00
Head Finished (Minimum) Thickness t 10.3100 mm
Head Internal Corrosion Allowance c 3.0000 mm
Head External Corrosion Allowance co 0.0000 mm
Distance from Head Centerline L1 0.0000 mm
User Entered Minimum Design Metal Temperature -10.00 C
Type of Element Connected to the Shell : Nozzle
Material SA-106 B
Material UNS Number K03006
Material Specification/Type Smls. pipe
Allowable Stress at Temperature Sn 1202.25 kgf/cm
Allowable Stress At Ambient Sna 1202.25 kgf/cm
Diameter Basis (for tr calc only) OD
Layout Angle 0.00 deg
Diameter 50.0000 mm.
Size and Thickness Basis Nominal
Nominal Thickness tn 160
Flange Material SA-105
Flange Type Weld Neck Flange
Corrosion Allowance can 3.0000 mm
Joint Efficiency of Shell Seam at Nozzle E1 1.00
Joint Efficiency of Nozzle Neck En 1.00
Outside Projection ho 148.0000 mm
Weld leg size between Nozzle and Pad/Shell Wo 6.0000 mm
Groove weld depth between Nozzle and Vessel Wgnv 10.3100 mm
Inside Projection h 342.0000 mm
Weld leg size, Inside Element to Shell Wi 0.0000 mm
ASME Code Weld Type per UW-16 None
Class of attached Flange 300
Grade of attached Flange GR 1.1
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The Pressure Design option was Design Pressure + static head.
Nozzle Sketch (may not represent actual weld type/configuration)
| |
| |
| |
| |
____________/| |
| \ | |
| \ | |
|____________\| |
\| |
|__|
Insert Nozzle No Pad, with Inside projection
Reinforcement CALCULATION, Description: N6
ASME Code, Section VIII, Division 1, 2010, 2011a, UG-37 to UG-45
Actual Outside Diameter Used in Calculation 60.325 mm.
Actual Thickness Used in Calculation 8.738 mm
Nozzle input data check completed without errors.
Reqd thk per UG-37(a)of Elliptical Head, Tr [Int. Press]
= (P*K1*D))/(2*S*E-0.2*P) per UG-37(a)(3)
= (35.18*0.884*309.2800)/(2 *1202.25*1.00-0.2*35.18)= 4.0101 mm
Reqd thk per UG-37(a)of Elliptical Head, Tr [Mapnc]
= (P*K1*D))/(2*S*E-0.2*P) per UG-37(a)(3)
= (46.59*0.900*303.2800)/(2 *1202.25*1.00-0.2*46.59)
= 5.3092 mm
Reqd thk per UG-37(a)of Nozzle Wall, Trn [Int. Press]
= (P*Ro)/(S*E+0.4*P) per Appendix 1-1 (a)(1)
= (35.18*30.1625)/(1202*1.00+0.4*35.18)
= 0.8723 mm
Reqd thk per UG-37(a)of Nozzle Wall, Trn [Mapnc]
= (P*Ro)/(S*E+0.4*P) per Appendix 1-1 (a)(1)
= (46.59*30.1625)/(1202*1.00+0.4*46.59)
= 1.1510 mm
UG-40, Limits of Reinforcement : [Internal Pressure]
Parallel to Vessel Wall (Diameter Limit) Dl 97.6996 mm
Parallel to Vessel Wall, opening length d 48.8498 mm
Normal to Vessel Wall (Thickness Limit), no pad Tlnp 14.3440 mm
Normal to Vessel Wall, Inward 6.8440 mm
UG-40, Limits of Reinforcement : [Mapnc]
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Nozzle Calcs. : N6 Nozl: 6 1:42p Jul 14,2013
Parallel to Vessel Wall (Diameter Limit) Dl 85.6996 mm
Parallel to Vessel Wall, opening length d 42.8498 mm
Normal to Vessel Wall (Thickness Limit), no pad Tlnp 21.8440 mm
Normal to Vessel Wall, Inward 21.8440 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 area or App 1-10 computation.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures ta = 3.8723 mm
Wall Thickness per UG16(b), tr16b = 4.5000 mm
Wall Thickness, shell/head, internal pressure trb1 = 7.4239 mm
Wall Thickness tb1 = max(trb1, tr16b) = 7.4239 mm
Wall Thickness tb2 = max(trb2, tr16b) = 4.5000 mm
Wall Thickness per table UG-45 tb3 = 6.4200 mm
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 6.420 , max( 7.424 , 4.500 ) ]
= 6.4200 mm
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )= max( 3.8723 , 6.4200 )
= 6.4200 mm
Available Nozzle Neck Thickness = 0.875 * 8.738 = 7.645 mm --> OK
Stresses on Nozzle due to External and Pressure Loads per the ASME
B31.3 Piping Code (see 319.4.4 and 302.3.5):
Sustained : 522.4, Allowable : 1202.2 kgf/cm Passed
Expansion : 0.0, Allowable : 2483.3 kgf/cm Passed
Occasional : 67.0, Allowable : 1599.0 kgf/cm Passed
Shear : 234.5, Allowable : 841.6 kgf/cm Passed
Note : The number of cycles on this nozzle was assumed to be 7000 or less for
the determination of the expansion stress allowable.
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
MDMT of the Nozzle Neck to Flange Weld,
Curve: B
----------------------------------------------------------------------
Govrn. thk, tg = 7.645 , tr = 0.872 , c = 3.0000 mm , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.188 , Temp. Reduction = 78 C
Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 C
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Min Metal Temp. at Required thickness (UCS 66.1) -104 C
MDMT of Nozzle-Shell/Head Weld for the Nozzle (UCS-66(a)1(b)), Curve:
B----------------------------------------------------------------------
Govrn. thk, tg = 7.645 , tr = 0.872 , c = 3.0000 mm , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.188 , Temp. Reduction = 78 C
Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 C
Min Metal Temp. at Required thickness (UCS 66.1) -104 C
Governing MDMT of all the sub-joints of this Junction : -104 C
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c) -29 C
Flange MDMT with Temp reduction per UCS-66(b)(1)(b) -47 C
Flange MDMT with Temp reduction per UCS-66(b)(1)(c) -104 C
Where the Stress Reduction Ratio per UCS-66(b)(1)(b) is :
Design Pressure/Ambient Rating = 35.18/52.11 = 0.675
Note: Using the minimum value from (b)(1)(b) and (b)(1)(c) above
as the calculated nozzle flange MDMT.
Weld Size Calculations, Description: N6
Intermediate Calc. for nozzle/shell Welds Tmin 5.7376 mm
Results Per UW-16.1:
Required Thickness Actual Thickness
Nozzle Weld 4.0163 = 0.7 * tmin. 4.2420 = 0.7 * Wo mm
NOTE : 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 55.272 kgf/cm
Note: The MAWP of this junction was limited by the parent Shell/Head.
Approximate M.A.P.(NC) for given geometry 81.189 kgf/cm
Note: The M.A.P.(NC) of this junction was limited by the parent Shell/Head.
The Drop for this Nozzle is : 1.6224 mm
The Cut Length for this Nozzle is, Drop + Ho + H + T : 500.3100 mm
Input Echo, WRC107 Item 1, Description: N6 :
Diameter Basis for Vessel Vbasis ID
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Nozzle Calcs. : N6 Nozl: 6 1:42p Jul 14,2013
Cylindrical or Spherical Vessel Cylsph Spherical
Internal Corrosion Allowance Cas 3.0000 mm
Vessel Diameter Dv 545.904 mm
Vessel Thickness Tv 10.310 mm
Design Temperature 90.00 C
Vessel Material SA-234 WPB
Vessel Cold S.I. Allowable Smc 1202.25 kgf/cm
Vessel Hot S.I. Allowable Smh 1202.25 kgf/cm
Attachment Type Type Round
WRC107 Attachment Classification Holsol Hollow
Diameter Basis for Nozzle Nbasis OD
Corrosion Allowance for Nozzle Can 3.0000 mm
Nozzle Diameter Dn 60.325 mm
Nozzle Thickness Tn 8.738 mm
Nozzle Material SA-106 B
Nozzle Cold S.I. Allowable SNmc 1202.25 kgf/cm
Nozzle Hot S.I. Allowable SNmh 1202.25 kgf/cm
Design Internal Pressure Dp 35.177 kgf/cm
Include Pressure Thrust No
External Forces and Moments in WRC 107 Convention:
Radial Load (SUS) P -139.7 kgf
Longitudinal Shear (SUS) (Vl) V1 139.7 kgf
Circumferential Shear (SUS) (Vc) V2 139.7 kgf
Circumferential Moment (SUS) (Mc) M1 40.8 kgf-m.Longitudinal Moment (SUS) (Ml) M2 40.8 kgf-m.
Torsional Moment (SUS) Mt 40.8 kgf-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 -139.7 kgf
Circumferential Shear (VC) V2 139.7 kgf
Longitudinal Shear (VL) V1 139.7 kgf
Circumferential Moment (MC) M1 40.8 kgf-m.
Longitudinal Moment (ML) M2 40.8 kgf-m.
Torsional Moment MT 40.8 kgf-m.
Dimensionless Param: U = 0.67 TAU = 5.00 ( 4.76) RHO = 1.27
Dimensionless Loads for Spherical Shells at Attachment Junction:
------------------------------------------------------------
Curves read for 1979 Figure Value Location
------------------------------------------------------------
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Nozzle Calcs. : N6 Nozl: 6 1:42p Jul 14,2013
N(x) * T / P SP 2 0.05984 (A,B,C,D)
M(x) / P SP 2 0.05597 (A,B,C,D)
N(x) * T * SQRT(Rm * T ) / MC SM 2 0.10811 (A,B,C,D)
M(x) * SQRT(Rm * T ) / MC SM 2 0.12197 (A,B,C,D)N(x) * T * SQRT(Rm * T ) / ML SM 2 0.10811 (A,B,C,D)
M(x) * SQRT(Rm * T ) / ML SM 2 0.12197 (A,B,C,D)
N(y) * T / P SP 2 0.12732 (A,B,C,D)
M(y) / P SP 2 0.02661 (A,B,C,D)
N(y) * T * SQRT(Rm * T ) / MC SM 2 0.11697 (A,B,C,D)
M(y) * SQRT(Rm * T ) / MC SM 2 0.07642 (A,B,C,D)
N(y) * T * SQRT(Rm * T ) / ML SM 2 0.11697 (A,B,C,D)
M(y) * SQRT(Rm * T ) / ML SM 2 0.07642 (A,B,C,D)
Stress Concentration Factors Kn = 1.00, Kb = 1.00
Stresses in the Vessel at the Attachment Junction
------------------------------------------------------------------------
| Stress Values at
Type of | (kgf/cm )