body flange design-appx-2.xls

OA No 7800078Project: BIOCON

Vessel 3 KL MSTTag No. MST-01

1

Document No : 7800078-DC-3KLMST-007-A

Design Code :

Ref Drawing : 7800078-FPEM-3KL-07

Design Condition : Flange is considered as Optional Flange & designed as an Integral Type

Flange Type Selected for Design : Optional Type Flange (Fig. 2-4 (8))

Material :1) FLANGE : SA 240 Gr. 316L

2) BOLT : SA 193 Gr.B8 ( CLASS 1D)

Design Temperature :

FIG. 2-4(8) OPTIONAL TYPE FLANGE

GREEN COLOUR INDICATES INPUT VALUES

SR. NO DESCRIPTION SYMBOL VALUE UNIT REMARK

1 Outside Diameter of Flange A 1248 mm

2 Inside Diameter of Flange B 1175 mm Equals to I.D. of Vessel for Integral Type Flanges

3 Flange Thickness t 72 mm Flange thickness is measured at the bottom of O ring Groove

4 Hub Length h 12.0000 mm

5 Thickness of Hub at back of Flange 20 mm

6 Thickness of hub at Small End 8 mm

7 Outside Diameter of 'O' Ring 1221 mm Assuming that the Gasket sits against the Flange at its O.D.

8 Inside Diameter of 'O' Ring 1205 mm Gasket ID and OD mentioned are groove diameters for O Ring

9 Gasket Factor m 0 - Refer Table 2-5.1 ( Zero for Self-Energising Gaskets)

10 Gasket Seating Stress y 0 N/mm2 Refer Table 2-5.1 ( Zero for Self-Energising Gaskets)

11 Bolt-Circle Diameter C 1272 mm Equals to O.D. of Flange plus Bolt Hole Diameter

12 Bolt Hole Diameter 24 mm

13 Nominal Bolt Diameter a 22 mm

14 Number of Bolts n 36 -

15 Internal Design Pressure P3.5 bar(g)

0.35 MPa (g)

16 External Design Pressure1.035 bar(g)

0.1035 MPa (g)

17 Corrosion allowance c 0 mm

18130 N/mm2

103 N/mm2

19 87.4 N/mm2

20115 N/mm2

186000 N/mm2

21 195000 N/mm2

CALCULATIONS

22 8 mm

23 20 mm

24 1175 mm

25 R 28.5 mm

26 N 8 mm Refer Table 2-5.2

27 Basic Gasket Seating Width 4 mm Refer Table 2-5.2

28 Conversion factor 2.5 - Used to evaluate Effective Gasket Seating Width (b)

29 Effective Gasket Width b 4 mm Refer Table 2-5.2

30 G 1221 mm Equals to Gasket O.D. (Acc. To PV Elite)

ASME Sec VIII Div-01 Edition 2010 Addenda 2011 (Appendix 2)

150OC

As this is slotted hole flange the diameter to the bottom of the slots

Flange is considered as Optional type & designed as an Integral Type. Gasket ID and OD mentioned are groove diameters for O Ring

g1

g0

GOD

GID

dbh

Pe

Allowable bolt stress at Atmospheric Temperature Sa

Refer ASME Section II, Part D, 2011a,Table 1A, Pg. No. 342, Line No. 20Allowable bolt stress at Design

Temperature Sb

Allowable Design Stress for material of Flange at Design Temperature Sf

Refer ASME Section II, Part D, 2011a,Table 1A,Pg. No. 66 , Line No. 36 & 'Notes to Table 1A',Pg. No. 146,Note G5

Allowable Flange Stress at Atmospheric Temperature Sfa

Refer ASME Section II, Part D, 2011a,Table 1A,Pg. No. 66 , Line No. 36

Youngs Modulus at Design Temperature of Flange Ef

Refer ASME Section II, Part D,2011a,Table TM-1,Pg. 738, Material Group G, Note 7Youngs modulus at atmospheric

temperature of flange Ea

Small End Hub Thickness in Corroded Condition g0cor

Largel End Hub Thickness in Corroded Condition g1cor

Inside Diameter of flange in Corroded Condition Bcor

Radial distance from bolt circle to point of intersection of hub and back of flange.

width used to determine basic gasket seating width

b0

Cb

Diameter at location of Gasket Load Reaction



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LOADS

31 H 409869.4619 N

32 379568.3281 N

33 30301.1338 N

34 0 N 2b*3.14GmP

35 Total hydrostatic end force 121127.1041 N

36 112172.3297 N

37 8954.77446 N

38 409869.4619 N

39 0 N

40 0 N

41 3979.315 mm2

42 Bolt root area 272.419 mm2 For M22 bolt (TEMA Table D-5M)

43 9807.084 mm2

44 W 896115.95 N

FLANGE MOMENT ARMS

45 38.5 mm

46 25.5 mm

47 37 mm

48 Component of moment due to HD 14613380.63 N-mm

49 Component of moment due to HT 1121141.951 N-mm

50 Component of moment due to HG 0 N-mm

51 Bolt Spacing 111.0029404 mm

52 Bolt Spacing correction factor 0.97822385 - Not Applicable as Vessel not in lethal service (Ref 2-6)

53 Maximum bolt spacing 908 mm Maximum Bolt Spacing permitted

54 Total moment acting upon the flange 15734522.58 N-mm For the operating conditions

55 Total moment acting upon the flange 22850956.61 N-mm For the seating conditions

56 Factor 96.95359715 mm

57 - 0.12377055 mm

58 - 2.5 -

59 - A 1.5 - Table 2-7.1

60 K 1.06212766 -

61 f 4.884223655 - Please refer Sheet "Table2-7.1"

62 Flange Factor C 0.010250662 -

63 Flange Factor E6 -340.374663 -

64 factor for integral type flanges F 0.90207322 -

65 Flange Factor e 0.009304175 - factor

66

Flange Factor

Term 1 0.380672331 - k2*(1+8.55246logk)-1

67 Term 2 0.201365584 - (1.04720+(1.9448*k*k))*(k-1)

68 T 1.890453789

69 Flange Factor E4 25.28839088 -

70 Flange Factor V 0.400634629 -

71Flange Factor

Term 3 0.010835739 - 1.36136(k2-1)(k-1)

72 U 35.13118438 -

73 Flange Factor d 544111.8792 -

74 Flange Factor L 1.569309766

75Flange Factor

Term 4 0.2304985 - K2*(logk)/(K2-1)

76 Y 31.96944625 -

77 Flange Factor Z 16.61095438 -

Total Hydrostatic End Force for Internal Pressure 0.785G2P

Hydrostatic End Force on Area Inside of Flange due to Internal Pressure HD 0.785B2P

Difference between total hydrostatic end force and the hydrostatic end force on area inside of flange

HT HT=H-HD

Total joint-contact surface compression load HP

He 0.785G2Pe

Hydrostatic end force on area inside of flange HDe 0.785B2Pe

Difference between total hydrostatic end force and the hydrostatic end force on area inside of flange

HTe=He-HDe

Minimum required bolt load for the operating conditions Wm1

Minimum required bolt load for gasket seating Wm2

Gasket load (difference between flange design bolt load and total hydrostatic end force)

HG= Wm1-H

Total required cross-sectional area of bolts Am

Aroot

Cross-sectional area of the bolts using the root diameter of the thread Ab

Flange design bolt load, for the operating conditions or gasket seating

Radial distance from the Bolt Circle, to the Circle on which HD acts hD

Radial distance from Gasket Load Reaction to the Bolt Circle hG

Radial distance from the bolt circle to the circle on which HT acts hT

MD

MT

MG

Bs

Bsc

Bsmax

M0

Matm

h0

h/h0

g1/g0

Ratio of outside diameter of flange to inside diameter of flange

Hub stress correction factor for integral flanges



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STRESS SUMMARYSr. No. ACTUAL ALLOWABLE UNIT RESULT

1 104.19 1.5*Allowable Flange Stress at Design Temp.'Sf' 131.1 N/mm2 PASS

2 3.11 Allowable Flange Stress at Design Temp.'Sf' 87.4 N/mm2 PASS




6 151.32 1.5*Allowable Flange Stress at Design Temp.'Sf' 172.5 N/mm2 PASS

7 4.52 Allowable Flange Stress at Design Temp.'Sf' 115 N/mm2 PASS




FLANGE RIGIDITY FACTORS1 Factor K1 0.3 RESULT

2 Rigidity factor for operating condition J 0.604903788 - < 1 Hence SAFE

3 Rigidity factor for seating condition J 0.837944882 - < 1 Hence SAFE

Longitudinal Hub Stress(Operating)'SHO'

Radial Flange Stress(Operating)'SRO'

Tangential Flange Stress(Operating)'STO'

(SHO + SRO)*0.5

(SHO + STO)*0.5

Longitudinal Hub Stress(Seating)'SHS'

Radial Flange Stress(Seating)'SRS'

Tangential Flange Stress(Seating)'STS'

(SHS + SRS)*0.5

(SHS + STS)*0.5

OA No 7800078Project Biocon

Vessel 5000 L FermentorTag No FER-04 FER-05

Doc No: 7800078-5KL-FERM-FLGRev.00

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Reference1) ASME Sec VIII Div:01 Appendix 022) AS 1210 (Australian Standard for Pressure vessels)3) Ref Drawing : 7800078-BODYFLG-01

nomenclature value unit RemarkA 357 mm flange OD (Ref Fig:01)B 290 mm flange IDt 30 mm flange thk (This flange thickness is measured at the bottom of O ring Groove)h 7 mm hub lengthg1 12 mm large end hub thkg0 5 mm small end hub thk

Gasket ID and OD mentioned are groove diameters for O Ring

321 mm gasket od

304 mm gasket idm 0 - gasket factory 0 N/mm2 gasket seating stress

PCD 369 mm bolt circle diametera 12 mm nominal bolt diametern 8 - number of bolts

P 3.5 bar(g) internal design pressure0.35 N/mm2 (g)

Pe 1.035 bar(g) External design pressure0.1035 N/mm2 (g)

T 150 deg cen Design Temperature (Int/Ext)

c 0 mm corrosion allowance

bolt material SA 193 Gr.B8 - -Flange Material SA 240 Gr. 316L - -Shell Material SA 240 Gr. 316L - -

Sa 130 N/mm2Sb 103.4 N/mm2 allowable bolt stress at design temp

Sf 87.4 N/mm2 allowable flange stress at design temp

Sfa 115 N/mm2

Ef 186072.445 N/mm2

Ea 195124 N/mm2

a 12 mm Nominal Bolt Diameter

GOD

GID

allowable bolt stress at atmospheric temp

allowable flange stress at atmospheric temp

Youngs modulus at design temperature of flange

Youngs modulus at atmospheric temperature of flange




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Calculations

g0cor 5 mm corroded small end hub thkg1cor 12 mm corroded large end hub thkBcor 290 mm corroded flange ID

R 27.36 mm

N 1.0625 mmb0 0.53125 mm -Cb 2.5 - factorb 0.53125 mmG 312.5 mm

Loads

H 26831.0546875 N

HD 23106.475 NHT=H-HD 3724.5796875 N

HP 0 N

He 7934.32617188 N

HDe 6832.91475 NHTe=He-Hde 1101.41142188 NWm1 26831.0546875 NWm2 0 NHG= Wm1-H 0 N

Am 259.487956359 mm2Aroot 72.398 mm2 for M12 bolt (TEMA Table D-5M)Ab 579.184 mm2

W 43359.3401438 N seating bolt laod

Flange moment arms

hD 33.4285714286 mmhG 28.25 mmhT 33.875 mm

MD 772416.45 N-mm component of moment due to HD,MT 126170.136914 N-mm component of moment due to HTMG 0 N-mm component of moment due to HG

Bs 144.905961147 mm Bolt Spacing

radial distance from bolt circle to point of intersection of hub and back of flange.

width used to determine basic gasket seating width TABLE 2-5.2

total hydrostatic end force internal pressure

hydrostatic end force on area inside of flange ude to internal pressure

total joint-contact surface compression load

total hydrostatic end force externap pressure

hydrostatic end force on area inside of flange ude to external pressure




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Bsc 1.63812201162 - Bolt Spacing correction factor

Bsmax 384 mm Maximum Bolt Spacing permitted

M0 898586.586914 N-mm

Matm 1224901.35906 N-mm

h0 38.0788655293 mmh/h0 0.18758061837 mmg1/g0 2.42857142857 -A 1.42857142857 - Table 2-7.1K 1.23103448276 -

f 5.0278772919 - Please refer Sheet "Table2-7.1"

C 0.01025066184 -

E6 -340.37466278 -

F 0.98403188709 -

e 0.02584194338 - factor

t 30 mm Flange thickness (same as above)

Term 1 1.6854192774 - k2*(1+8.55246logk)-1

Term 2 0.92285319031 - (1.04720+(1.9448*k*k))*(k-1)

T 1.82631354056 -

E4 25.2883908771 -

V 0.43703464539 -

Term 3 0.16211861253 - 1.36136(k2-1)(k-1)

U 10.3962108431 -

d 22645.5681997 -

L 2.16433091555

Term 4 0.26540056382 - K2*(logk)/(K2-1)

Y 9.46057253968 -

Z 4.88013564327 -

Not Applied Since Vessel not in lethal service (2-6)

total moment acting upon the flange, for the operating conditions

total moment acting upon the flange, for the seating conditions




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Stress Summary

Stress Actual Allowable Unit ResultSH operating 48.818133342883 131.1 N/mm2 PASS

SR operating 3.23091614405715 87.4 N/mm2 PASS

ST operating 16.804122339255 87.4 N/mm2 PASS

26.0245247434701 87.4N/mm2 PASS

32.811127841069 87.4N/mm2 PASS

SH seating 66.5460610578136 172.5 N/mm2 PASS

SR seating 4.40419836385341 115 N/mm2 PASS

ST seating 22.9064094556179 115 N/mm2 PASS

35.4751297108335 115N/mm2 PASS

44.7262352567157 115N/mm2 PASS

Ki 0.3

J 0.17803108275 - Rigidity factor for operating condition

J 0.23142399797 - Rigidity factor for seating condition

Ref Fig.2-4 (8) Ref Fig.3.21.6.2 Flange NotationOptional Flange (AS-1210)

(SH operating + SR operating)*0.5

(SH operating + ST operating)*0.5

(SH seating + SR seating)*0.5

(SH seating + ST seating)*0.5

Flange rigidity factors

(ASME Sec.VIII Div:01-Appendix-2)

(Australian Standard® for Pressure Vessels)



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Reference1) ASME Sec VIII Div:01 Appendix 02

Table 2-7.1

A 1.5

C1 0.4583333 C26 -0.224995C 0.0102507 C27 -1434.42C2 0.1949405 C28 -260.7712C3 0.0089286 C29 -0.050623C4 536.59884 C30 -0.01139C5 -1524.273 C31 15.5843C6 97.568069 C32 2.924372C7 6362.9692 C33 -8.43768C8 923.1357 C34 -4073.641C9 797.45325 C35 37.87848C10 -1385.349 C36 12.21056C11 330.99818 C37 -51.64899C12 222.41269 E1 -24.19739C13 76.477658 E2 -1.639529C14 -114.1032 E3 1.83426C15 37.280365 E4 25.28839C16 258047.65 E5 -18.82757C17 1170.7151 E6 -340.3747C18 -3325.627C19 212.85328C20 0.1166108C21 -0.152759C22 0.0563545C23 -0.187142C24 0.254515C25 -0.074829

body flange design-appx-2.xls

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