design calculation of pressure vessel

CademPVD by CADEM Softwares
Most value for money software for the mechanical design of process equipment
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Pressure Vessels
Reaction Vessels
Agitator Shafts
Heat Exchangers
Process Columns
Storage Tank
Floating Roof
Chimney

•

ASME Sec. VIII Div. 1
TEMA
EEUA
IS 2825
EN 13445
API 650
API 620
IS 6533

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•

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all undefined parameters: Flange OD, Flange ID, PCD, Number and Size of bolts, Gasket OD & ID, etc.
meeting the requirements of the specified equipment design code.

•

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•

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EXAMPLE NO. PV-01
DESIGN
OF
PRESSURE VESSEL (GAS FILTER)

This example covers design of a simple pressure vessel. This pressure vessel has a top
flat cover and a bottom dished end. The top cover is of bolted type and is connected to
the shell through top body flange. The pressure vessel is provided with lugs support and
lifting lug.

NOTE:
1) Link to youtube video of this design:
/>2) As you can see in the video, the inbuilt intelligence in the software generates all
information by itself. Eg: For a body flange, the software evaluates all the undefined
parameters Flange OD, Flange ID, PCD, Number and Size of bolts, Gasket OD & ID, etc.
meeting the requirements of specified equipment design code.
3) In case of any changes to the interconnected shell geometry and / or design conditions

(pressure / temperature) including material of constructions, these dimensions
automatically regenerated by the software to meet the new requirements.
4) The software can generate cost estimation and BOM in Excel.


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
Index

/ R00 , 30-03-2015 23:35:19

Sr. No.

Description

1

Title page & equipment info

2

Design data

3

Material of constructions

4

Effective Pressures

5

Weight summary report

6

Test pressure calculations (shell side)

7

Wind load calculations

8

Seismic load calculations

9

Design of Cover (Front)

10

Design of Cover (Front)

11

Design of Shell Flng (Front)

12

Design of Shell Flng (Front)

13

Design of Main Shell

14

Design of Dished End (Rear)

15

Design of Lug Support

16

Design of Lug Support

17

Design of N 01

18

Design of N 01

19

Design of N 01

20

Design of N 02

21

Design of N 02

22

Design of N 02

23

Design of N 03

24

Design of N 03

25

Design of Lifting Lugs

26

Foundation load data

27

C.G. Data

Page No


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Customer
ABC Company Ltd.
Project

Soap Plant

Location

Vapi Site

Plant
EQUIPMENT INFORMATION :

Design Code

Refrigeration Plant

Equipment Name

Gas Filter

Equipment Type

Pressure Vessel

Equipment Class

N.A.

Equipment Category

N.A.

Reference Drawing No

---

Service

Compressed Gas Services

Support Type
DESIGN & REVIEWAL :

Lug Supports

ASME VIII Div.1, 10 A11

Designed By
Design Date

30-03-2015 23:35:19

Checked By
Approved By
Revision
INSPECTION & APPROVAL :
Inspection Agency

R00

Reviewed By
EQUIPMENT DATA :

---

Front end

Flat End

Front end flanged

True

Rear end

Dished End

Rear end flanged

False

Shell ID

1250 mm

Shell OD

1270 mm

Length, Shell (W.L. to W.L) / Overall
OTHER DATA :
Fabricated weight

1650 / 2254.6 mm

Empty weight + external weights

1898.3 kgf

Estimated operating weight

1926.8 kgf

Estimated hydrotest weight

4439.8 kgf

---

1898.3 kgf


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

VESSEL DESIGN DATA
(1) PROCESS DETAILS :
MEDIA

DENSITY
kg/m³

Operating

Process Gas

10

Design1

Process Gas

12

Hydrotest

Water

1000

Pneumatic

Process Gas

1.2

Design2
Startup
Shutdown

Upset

(2) PR. : kgf/mm² g

INT.

Operating

0.1

0.12

EXT.
0.01055

Design1

0.12

0.12

0.01055

Design2
Startup
Shutdown
Upset
(3) TEST PR. : kgf/mm² g
Based on
Hydrotest

Input Pr

MAWP

MAP

0.156

0.156

0.169

0.132

0.143

Pneumatic
0.132
(4) TEMPERATURE : °C

MIN.

MAX.

Input

MDMT

Operating

20

-14.28

100

Design1

20

-11.75

150

21.67

-11.57

50

-11.75

50

Design2
Startup
Shutdown
Upset
Hydrotest

Pneumatic
21.67
(5) ALLOWANCES : mm
Corrosion

INT.

EXT.

3

0

Polishing
0
0
(6) RADIOGRAPHY & JOINT EFFICIENCY :
RADIOGRAPHY

JOINT
EFFICIENCY

Shell

Spot + T Joints

0.85

Head

Full

1.00


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
VESSEL DESIGN DATA
1. MATERIAL OF CONSTRUCTION :

/ R00 , 30-03-2015 23:35:19

Shell side
Shell

SA-516 GR. 70 Plt. [UNS:K02700]

Head

SA-516 GR. 70 Plt. [UNS:K02700]

Body flange

SA-105 Frg. [UNS:K03504]

Body flange cover

SA-516 GR. 70 Plt. [UNS:K02700]

Liner
2. NOZZLE CONNECTIONS :
Shell side
Nozzle neck <= NPS 40

SA-106 GR. B Smls. Pipe
[UNS:K03006]

Flange

SA-105 Frg. [UNS:K03504]

Cover flange

SA-105 Frg. [UNS:K03504]

Nozzle NPS > 40 & < 200

SA-106 GR. B Smls. Pipe

[UNS:K03006]

Flange

SA-105 Frg. [UNS:K03504]

Cover flange

SA-105 Frg. [UNS:K03504]

Nozzle neck >= NPS 200

SA-516 GR. 70 Plt. [UNS:K02700]

Flange

SA-516 GR. 70 Plt. [UNS:K02700]

Cover flange

SA-516 GR. 70 Plt. [UNS:K02700]

Pad flange

SA-516 GR. 70 Plt. [UNS:K02700]

Pad flange cover

SA-516 GR. 70 Plt. [UNS:K02700]

Manhole flange

SA-516 GR. 70 Plt. [UNS:K02700]

Manhole cover

SA-516 GR. 70 Plt. [UNS:K02700]

Reinforcement pad

SA-516 GR. 70 Plt. [UNS:K02700]

External bolt

SA-193 GR. B7 Bolt [UNS:G41400]

External gasket

Spiral metal wound CAF filled (S.S.)

Stiffener

SA-516 GR. 70 Plt. [UNS:K02700]

Lifting lug

IS-2062 GR. A Plt.

Support

IS-2062 GR. A Plt.

Anchor bolt
Commercial CS Bolt
3. INSULATION & CLADDING:
Mat. / Density / Thk.
Rockwool (Mineral Fibre) / 136.2 kg/m³ / 25 mm
Mat. / Thk.

Al. sheet / 1.191 mm


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
/ R00 , 30-03-2015 23:35:19
SUMMARY OF EFFECTIVE DESIGN PRESSURES IN kgf/mm² g VS TEMPERATURE IN °C
Sr.

Item name

Temp.

No.

Inside pr.
+ve

-ve

Liquid pr.

Effective pr.
+ve

-ve

1

Cover (Front)

150

0.12

0.01055

0

0.12

0.01055

2

Shell Flng (Front)

150

0.12

0.01055

0

0.12

0.01055

3

Main Shell

150

0.12

0.01055

0

0.12

0.01055

4

Dished End (Rear)

150

0.12

0.01055

0

0.12

0.01055

5


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
ITEM WISE WEIGHT SUMMARY

/ R00 , 30-03-2015 23:35:19

Sr.No.

Item name

Item size

Empty
wt

Volume

Filled wt

kgf

m³

kgf

1

Cover (Front)

Blind Flange - 1420 OD x
73.411 Thk, RF, 1363 PCD,
Tgrv = 1.588

900.5

0

900.5

2

Shell Flng (Front)

Fabricated WN - 1420 OD x
1250 ID x 1363 PCD, RF,
128.692 Thk, Trgv = 1.588,
G1 = 20, G0 = 10, hf = 30

312.3

0

312.3

3

Gasket Flng (Front)

1313.5 OD x 1250 ID, 4.763
Thk

0.1

0

0.1

4

Bolt Flng (Front)

Hex Head Bolt M24 x 243.128
Lg, 56 Nos.

48.76

0

48.76

5

Main Shell

1270 OD x 10 Thk, 1650 Lg

517.1

2.025

541.4

6

Dished End (Rear)

Elliptical D/2H = 2.0, 1270 OD
x 10 Nom / 9 Min Thk, SF =
50

181.7

0.317

185.5

7

Gusset Plate

200 Long x 190 Wide x 16
Thk, 8 Nos.

38.51

0

38.51

8

Anchor Bolt

Anchor M20 x 200 Lg, 4 Nos.

1.99

0

1.99

9

Support Pad

270 Long x 292 Wide x 10
Thk, 4 Nos.

24.97

0

24.97

10

N 01

ANSIB36.10, 150 NPS Sch.80,
156 Lg

6.697

0.00262

6.728

11

Flange [N 01]

Weld Neck, ANSI B16.5, RF,
150# for 150 NPS Sch 80 Pipe

8.08

0

8.08

12

Gasket [N 01]

166.329 OD x 146.329 ID,

4.763 Thk

0.1

0

0.1

13

Bolt [N 01]

Hex Head Bolt M20 x 86.125
Lg, 8 Nos.

1.714

0

1.714

14

Counter Flng [N 01]

Weld Neck, ANSI B16.5, RF,
150# for 150 NPS Sch 80 Pipe

8.08

0

8.08

15

Reinf [N 01]

292.659 OD x 171.275 ID x 10
Thk

3.501

0

3.501

16

N 02

ANSIB36.10, 150 NPS Sch.80,
156 Lg

6.697

0.00262

6.728

17

Flange [N 02]

Weld Neck, ANSI B16.5, RF,
150# for 150 NPS Sch 80 Pipe

8.08

0

8.08

18

Gasket [N 02]

166.329 OD x 146.329 ID,
4.763 Thk

0.1

0

0.1

19

Bolt [N 02]

Hex Head Bolt M20 x 86.125
Lg, 8 Nos.

1.714

0

1.714

20

Counter Flng [N 02]

Weld Neck, ANSI B16.5, RF,
150# for 150 NPS Sch 80 Pipe

8.08

0

8.08

21

Reinf [N 02]

292.659 OD x 171.275 ID x 10
Thk

3.501

0

3.501

22

N 03

ANSIB36.10, 50 NPS Sch.160,
150 Lg

1.682

0.00022

1.684

23

Flange [N 03]

Weld Neck, ANSI B16.5, RF,
150# for 50 NPS Sch 160 Pipe

2.428

0

2.428

24

Gasket [N 03]

62.85 OD x 42.85 ID, 4.763
Thk

0.1

0

0.1

25

Bolt [N 03]

Hex Head Bolt M16 x 67.725
Lg, 4 Nos.

0.431

0

0.431

26

Bolted Cover [N 03]

Weld Neck, ANSI B16.5, RF,
150# for 50 160 NPS Pipe

2.522

0

2.522

120 Long x 70 Wide x 12 Thk,


27

Lifting Lugs

2 Nos.

1.596

0

1.596

28

Pad (Lifting Lugs)

70 Long x 170 Wide x 8 Thk, 2

Nos.

1.507

0

1.507

29

Insulation

4084.07 W x 3754.584 L, 25
Thk

52.2

0

52.2

30

Cladding

4087.811 W x 3754.584 L,
1.191 Thk

5.058

0

5.058

31
32
33
34
35
∑

2149.7

∑

4439.8


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
/ R00 , 30-03-2015 23:35:19
TEST PRESSURES CALCULATION AS PER UG-99 / UG-100 : Vessel Inside
Design Temperature

T

150 °C

Operating Liquid Density

r

12 kg/m³

Hydrotest Liquid Density

rh

1000 kg/m³

Hydrotest Liquid Column

Lh

2254.6 mm

Pressure ( kgf/mm² g )

Sr.

No.

Item Name

Pi

Pl

Pc

Pe

Stress Correction ( kgf/mm² )
Peff

Sfo

Sfa

Sfa
Sfo

Pt

1

Cover (Front)

0.12

0

0

0.01055

0.12

14.06

14.06

1

0.12

2

Shell Flng (Front)

0.12

0

0

0.01055

0.12

14.06

14.06

1

0.12

3

Main Shell

0.12

0

0

0.01055

0.12

14.06

14.06

1

0.12

4

Dished End (Rear)

0.12

0

0

0.01055

0.12

14.06

14.06

1

0.12

5
Min. Pr., Pt
Legend :
Pi

=

Internal positive pressure

Pl

=

Pressure due to design liquid column

Pe

=

Internal vacuum pressure

Pc

=

External negative pressure

Peff

=

Pi + Pl + Pc

Sfo

=

Allowabe stress at design temperature

Sfa

=

Allowable stress at ambient temperature

Pt
=
MAX [ Peff + Pc, Pe ] x ( Sfa / Sfo )
Test Pressure Calculations
Pressure due to hydro liquid column, [ Plh ]
= Lh x rh x 1E-09
= 0.00225 kgf/mm² g
Hydrotest pressure, [ Ph ]
= 1.3 x Pt - Plh
= 1.3 x 0.12 - 0.00225
= 0.154 kgf/mm² g
Pneumatic test pressure, [ Pn ]
= 1.1 x Pt
= 1.1 x 0.12
= 0.132 kgf/mm² g

0.12


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India

Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

CALC. OF MIN. DESIGN METAL TEMPERATURE

Design Mode 1 , Corroded
Condition

CODE
Vessel Inside

ASME VIII Div.1, 10 A11

Design Pressure

Pi

0.12 kgf/mm² g

T

150 °C

Design Temperature
Sr.
No.

Item Name / Material /
Group

Stress (kgf/mm²)

Thickness (mm)

MDMT (°C)

Smt

Sdt

tn

tg

tr

Tm

Tc

MDMT

1

Cover (Front)
SA-516 GR. 70 Plt.
[UNS:K02700]
Curve : B

14.06

14.06

70.41

17.6

17.6

-11.98

40.56

-52.53

2

Shell Flng (Front)
SA-105 Frg. [UNS:K03504]
Curve : B

14.06

14.06

125.7

7

6.343

-28.89

-17.14

-11.75

3

Main Shell
SA-516 GR. 70 Plt.
[UNS:K02700]
Curve : B

14.06

14.06

7

7

6.343

-28.89

-14.73

-14.16

4

Dished End (Rear)
SA-516 GR. 70 Plt.
[UNS:K02700]
Curve : B

14.06

14.06

7

7

5.364

-28.89

-14.61

-14.28

5
Max, MDMT
Legend :
Smt
=

Stress at minimum design metal temperature.

Sdt

=

Pressure due to design liquid column

tn

=

Stress at design metal temperature.

tg

=

Nominal item thickness excluding corrosion and thinning.

tr

=

Governing metal thickness for the item.

Tg

=

Required minimum thickness of the item.

Tm

=

Minimum metal temperature for the the item.

Tc

=

MDMT Correction

MDMT

=

Final MDMT for the item = Tm - Tc.

-11.75

'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date
EXTREME FIBRE ELONGATION CALCULATION

/ R00 , 30-03-2015 23:35:19

Item Name

Sr.
No.

MOC

Rf

t

mm

mm

Eqn.
No.

e

HT

%

1

Main Shell

SA-516 GR. 70 Plt. [UNS:K02700]

625

10

1

0.8

False

2

Dished End (Rear)

SA-516 GR. 70 Plt. [UNS:K02700]

1130

10

2

0.664

False

3
4
5
Legend :
Rf
=

Mean radius after forming

Ro

=

Infinity

t

=

Nominal thickness of the plate before forming

Eqn. 1

=

50 x t / Rf x [ 1 - Rf / Ro ]

Eqn. 2

=

75 x t / Rf x [ 1 - Rf / Ro ]


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

WIND LOAD CALCULATION
CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Basic wind speed
( Section 5.2 )
Vb

Wind [IS:875, 87]

Expected life of equipment

( Section 5.3.1 )

25 Years

Probability factor (Risk coeff)

( Section 5.3.1 )

Terrain category

K1

( Section 5.3.2 )

Structure class

( Section 5.3.3 )

Force coefficient (Shape factor)
3. CALCULATION OF FORCES AND MOMENTS:

0.902
Category 2

( Section 5.3.2.2 )

Topography factor

50 m/s

Class B
K3

1.3

Cf

0.8

Equivalent diameter

De

1820 mm

Overall length of equipment

L

2254.6 mm

Height of C.G. of equipment

Hcg

1807.5 mm

K2

0.98

A

4103343.3 mm²

Vz

57.44 m/s

Pz

0.0002 kgf/mm²

Size and height factor

( Section 5.3.2 )

Effective transverse cross sectional area
= De x L
Effective wind speed
= K1 x K2 x K3 x Vb
Wind pressure
= 6E-08 x Vz

2

Longitudinal force
= Cf x A x Pz
Support elevation

F

649.9 kgf

H

372.5 mm

M

932661.5 kgf-mm

Turning moment
= F x ( Hcg - H )

'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

SEISMIC LOAD CALCULATION
CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Weight of equipment
Wo

Seismic [IS:1893, 02]

Importance factor

1.5

( Table-6 , 2002 )

I

1926.8 kgf

Soil profile type

Stiff Soil Profile (SD)

Foundation type

RCC footings + Tie Beams

Damping factor

5

Seismic zone

Zone III

Seismic zone factor

( Table-2 , 2002 )

Z

0.16

Response reduction factor

( Table-7 , 2002 )

R

2.9

Sa / g

2.5, Use max value

Cf

1

Ah

0.103

Spectral accelerations coeff.
Damping correction factor
Seismic coefficient

( Fig. 2 , 2002 )
( Table-3 , 2002 )

( Clause-6.4.2 , 2002 )

= 0.5 x Z x I x Cf x ( Sa / g ) x ( 1 / R )
= 0.5 x 0.16 x 1.5 x 1 x

2.5 x ( 1 / 2.9 )
2. CALCULATION OF FORCES AND MOMENTS:
Elevation of support

H

372.5 mm

Height of C.G. of equipment

Hcg

1807.5 mm

Vb

199.3 kgf

M

286034.2 kgf-mm

Seismic base shear force
= Ah x Wo
= 0.103 x 1926.8
Seismic moment of support
= Vb x ( Hcg - H )
= 199.3 x ( 1807.5 - 372.5 )

'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

DESIGN OF FLAT BOLTED HEAD ( INTERNAL )

Cover (Front)

CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Design pressure
P

ASME VIII Div.1, 10 A11

Design temperature

T

150 °C

Allowance

CA

3 mm

Groove allowance

Tg

0 mm

Joint efficiency
2. COVER DATA :
M.O.C.

E

1

Code allw. stress @ design temp.

Sfo

14.06 kgf/mm²

Radiography

0.12 kgf/mm² g

Spot + T Joints

SA-516 GR. 70 Plt. [UNS:K02700]

Code allw. stress @ atm. temp.

Sfa

14.06 kgf/mm²

Young’s modulus

Ey

19888.4 kgf/mm²

A

1420 mm

Self reinforced

False

Flange OD
Thickness provided

73.41 mm

Thickness available
3. BOLTING DATA :
M.O.C.

70.41 mm
SA-193 GR. B7 Bolt [UNS:G41400]

Code allw. stress @ design temp.

Sb

17.58 kgf/mm²

Code allw. stress @ atm. temp.

Sa

17.58 kgf/mm²

Bolt PCD

PCD

1363 mm

Bolt dia.

db

24 mm

No. of bolts
4. LINER DATA :

nb

56

M.O.C.
Liner ID

mm

Liner OD

mm

Liner thk.
5. GASKET DATA :
M.O.C.

mm
Spiral metal wound CAF filled (S.S.)

Gasket seating stress

y

7.031 kgf/mm²

Gasket factor

m

3

Inside diameter

Gi

1256 mm

Outside diameter

Go

1313.5 mm

Width of gasket

N

28.75 mm

Width of gasket

( as per Table 2-5.2 )

31.75 mm

Basic gasket seating width

( as per Table 2-5.2 )

b0

14.38 mm

Effective gasket width

( as per Table 2-5.2 )

b

9.554 mm

( see Table 2-5.2 )

G

1294.4 mm

Wp

0 mm

Dia. at load reaction
Pass partition gasket width

Pass partition gasket length

Lp

0 mm

Effective pass partition gasket width

b'

0 mm

6. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b1) :
Total joint - contact surface compression load [Hp]
= 2 x (  x b x G + b' x Lp ) x m x P
= 2 x (  x 9.554 x 1294.4 + 0 x 0 ) x 3 x 0.12
= 27973 kgf
Total hydrostatic end force [H]
= 0.25 x  x G 2 x P
= 0.25 x  x 1294.4 2 x 0.12
= 157907.4 kgf
Minimum required bolt load for operating condition [Wm1]
= Hp + H


= 27973 + 157907.4
= 185880.4 kgf
7. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b2) :
Minimum required bolt load for gasket seating [Wm2]
= (  x b x G + b' x Lp ) x y

= (  x 9.554 x 1294.4 + 0 x 0 ) x 7.031
= 273152.4 kgf
8. BOLT AREAS AS PER APPENDIX 2-5 (d) :
Total required cross-sectional area of bolts [Am]
= MAX [ Wm2 / Sa , Wm1 / Sb ] ........ For Internal '+' Pr Design
= Wm2 / Sa ..................................... For External Pr & Self Sealing Design
= 15540.6 mm²
Actual bolt area using root diameter [Ab]
= 17513.9 mm²
Flange design bolt load for the gasket seating [W]
= 0.5 x ( Am + Ab ) x Sa x 1 .................... average bolt area
= Ab x Sa x 1 ..........................................full bolt area
= 307837.2 kgf ( Full bolt area and margin factor of 1 )
9. CHECK FOR GASKET CRUSHING :
Minimum gasket width required [Nmin]
= Ab x Sb / ( 2 x  x y x G )
= 17513.9 x 17.58 / ( 2 x  x 7.031 x 1294.4 )
= 5.384 mm
10. DESIGN CALCULATION AS PER UG 34, BOLTING CONDITION :
Required thickness for bolting condition [t]
= G x SQRT [ 1.9 x W x 0.5 x ( PCD - G ) / ( Sfa x E x G 3 ) ]
= 1294.4 x SQRT [ 1.9 x 307837.2 x 0.5 x ( 1363 - 1294.4 ) / ( 14.06 x 1 x 1294.4 3 ) ]
= 33.2 mm
11. DESIGN CALCULATION AS PER UG 34, OPERATING CONDITION :
Self reinforced
False
Factor C is user input

False

Factor C taken from fig. UG 34 or user input

0.3

Maximum factor C value
Factor C (effective)

C

0.75
0.3

C = Min ( 2 x 0.3, 0.75 ) for self reinf.
C = 0.3 in other cases
Required thickness for operating condition [t]
= G x SQRT { [ C x P / ( Sfo x E ) ] + 1.9 x Wm1 x 0.5 x ( PCD - G ) / ( Sfo x E x G 3 ) }
= 1294.4 x SQRT { [ 0.3 x 0.12 / ( 14.06 x 1 ) ] + 1.9 x 185880.4 x 0.5 x ( 1363 - 1294.4 ) /
( 14.06 x 1 x 1294.4 3 ) }
= 70.65 mm


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

DESIGN OF FLAT BOLTED HEAD ( EXTERNAL )

Cover (Front)

CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Design pressure
P

ASME VIII Div.1, 10 A11

Design temperature

T

150 °C

Allowance

CA

3 mm

Groove allowance

Tg

0 mm

Joint efficiency
2. COVER DATA :
M.O.C.

E

1

Code allw. stress @ design temp.

Sfo

14.06 kgf/mm²

Radiography

0.01055 kgf/mm² g

Spot + T Joints

SA-516 GR. 70 Plt. [UNS:K02700]

Code allw. stress @ atm. temp.

Sfa

14.06 kgf/mm²

Young’s modulus

Ey

19888.4 kgf/mm²

A

1420 mm

Self reinforced

False

Flange OD
Thickness provided

73.41 mm

Thickness available
3. BOLTING DATA :
M.O.C.

70.41 mm
SA-193 GR. B7 Bolt [UNS:G41400]

Code allw. stress @ design temp.

Sb

17.58 kgf/mm²

Code allw. stress @ atm. temp.

Sa

17.58 kgf/mm²

Bolt PCD

PCD

1363 mm

Bolt dia.

db

24 mm

No. of bolts
4. LINER DATA :

nb

56

M.O.C.
Liner ID

mm

Liner OD

mm

Liner thk.
5. GASKET DATA :
M.O.C.

mm
Spiral metal wound CAF filled (S.S.)

Gasket seating stress

y

7.031 kgf/mm²

Gasket factor

m

3

Inside diameter

Gi

1256 mm

Outside diameter

Go

1313.5 mm

Width of gasket

N

28.75 mm

Width of gasket

( as per Table 2-5.2 )

31.75 mm

Basic gasket seating width

( as per Table 2-5.2 )

b0

14.38 mm

Effective gasket width

( as per Table 2-5.2 )

b

9.554 mm

( see Table 2-5.2 )

G

1294.4 mm

Wp

0 mm

Dia. at load reaction
Pass partition gasket width
Pass partition gasket length

Lp

0 mm

Effective pass partition gasket width

b'

0 mm

6. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b1) :
Total joint - contact surface compression load [Hp]
= 2 x (  x b x G + b' x Lp ) x m x P
= 2 x (  x 9.554 x 1294.4 + 0 x 0 ) x 3 x 0.01055
= 2458.4 kgf
Total hydrostatic end force [H]
= 0.25 x  x G 2 x P
= 0.25 x  x 1294.4 2 x 0.01055
= 13877.8 kgf
Minimum required bolt load for operating condition [Wm1]
= Hp + H


= 2458.4 + 13877.8
= 16336.3 kgf
7. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b2) :
Minimum required bolt load for gasket seating [Wm2]
= ( p x b x G + b' x Lp ) x y
= ( p x 9.554 x 1294.4 + 0 x 0 ) x 7.031
= 273152.4 kgf
8. BOLT AREAS AS PER APPENDIX 2-5 (d) :
Total required cross-sectional area of bolts [Am]
= MAX [ Wm2 / Sa , Wm1 / Sb ] ........ For Internal '+' Pr Design
= Wm2 / Sa ..................................... For External Pr & Self Sealing Design
= 15540.6 mm²
Actual bolt area using root diameter [Ab]
= 17513.9 mm²

Flange design bolt load for the gasket seating [W]
= 0.5 x ( Am + Ab ) x Sa x 1 .................... average bolt area
= Ab x Sa x 1 ..........................................full bolt area
= 307837.2 kgf ( Full bolt area and margin factor of 1 )
9. CHECK FOR GASKET CRUSHING :
Minimum gasket width required [Nmin]
= Ab x Sb / ( 2 x p x y x G )
= 17513.9 x 17.58 / ( 2 x p x 7.031 x 1294.4 )
= 5.384 mm
10. DESIGN CALCULATION AS PER UG 34, BOLTING CONDITION :
Required thickness for bolting condition [t]
= G x SQRT [ 1.9 x W x 0.5 x ( PCD - G ) / ( Sfa x E x G 3 ) ]
= 1294.4 x SQRT [ 1.9 x 307837.2 x 0.5 x ( 1363 - 1294.4 ) / ( 14.06 x 1 x 1294.4 3 ) ]
= 33.2 mm
11. DESIGN CALCULATION AS PER UG 34, OPERATING CONDITION :
Self reinforced
False
Factor C is user input

False

Factor C taken from fig. UG 34 or user input

0.3

Maximum factor C value
Factor C (effective)

C

0.75
0.3

C = Min ( 2 x 0.3, 0.75 ) for self reinf.
C = 0.3 in other cases
Required thickness for operating condition [t]
= G x SQRT { [ C x P / ( Sfo x E ) ] + 1.9 x Wm1 x 0.5 x ( PCD - G ) / ( Sfo x E x G 3 ) }
= 1294.4 x SQRT { [ 0.3 x 0.01055 / ( 14.06 x 1 ) ] + 1.9 x 16336.3 x 0.5 x ( 1363 - 1294.4 ) /
( 14.06 x 1 x 1294.4 3 ) }
= 32.29 mm


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

FLANGE DESIGN ( INTERNAL )

Shell Flng (Front)

CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Design pressure
P

ASME VIII Div.1, 10 A11

Design temperature

T

150 °C

Allowance

CA

3 mm

Groove allowance
2. FLANGE DATA :
M.O.C.

Tg

0 mm

Code allw. stress @ design temp.

Sfo

14.06 kgf/mm²

0.12 kgf/mm² g

SA-105 Frg. [UNS:K03504]

Code allw. stress @ atm. temp.

Sfa

14.06 kgf/mm²

Inside diameter

B

1256 mm

Outside diameter

A

1420 mm

Hub length

h

30 mm

Thickness ( hub end )

g1

17 mm

Thickness ( pipe end )

g0

7 mm

Thickness provided

128.7 mm

Thickness available
3. BOLTING DATA :
M.O.C.

125.7 mm
SA-193 GR. B7 Bolt [UNS:G41400]

Code allw. stress @ design temp.

Sb

17.58 kgf/mm²

Code allw. stress @ atm. temp.

Sa

17.58 kgf/mm²

Bolt PCD

C

1363 mm

Bolt dia.

db

24 mm

No. of bolts
4. LINER DATA :

nb

56

M.O.C.
Liner ID

mm

Liner OD

mm

Liner thk.
5. GASKET DATA :
5a. Flange gasket data :
M.O.C.

mm

Gasket type

Ring Gasket

Gasket confinement type

Unconfined

Flange face type

Raised Face

Flange gakset surface finish

Serrated (Normal)

Counter flange face type

Raised Face

Counter gakset surface finish

Serrated (Normal)

Applicalbe gasket sketch in Table 2-5.2

Type 1B

Spiral metal wound CAF filled (S.S.)

Applicable gasket column in Table 2-5.2
Gasket seating stress
Gasket factor

( refer to Note 1, Table 2-5.1 )
( from Table 2-5.1 )

Inside diame

5b. Partition groove gasket data (For H.E. body flange) :

1
y

7.031 kgf/mm²

m

3


Gasket seating stress

( refer to Note 1, Table 2-5.1 )

Gasket factor

( from Table 2-5.1 )

y'

0 kgf/mm²

m'

0

Pass partition gasket width

Wp

0 mm

Pass partition gasket length

Lp

0 mm

Effective pass partition gasket width
b'
0 mm
6. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b1)
Total joint - contact surface compression load [Hp]
= 2 x ( p x b x G x m + b' x Lp x m' ) x P
= 2 x ( p x 9.554 x 1294.4 x 3 + 0 x 0 x 0 ) x 0.12
= 27973 kgf
Total hydrostatic end force [H]
= 0.25 x p x G ² x P
= 0.25 x p x 1294.4 ² x 0.12
= 157907.4 kgf
Minimum required bolt load for operating condition [Wm1a]
= Hp + H
= 27973 + 157907.4
= 185880.4 kgf
Minimum required bolt load for operating condition [Wm1b]
( from mating flange )
= 185880.4 kgf
Governing bolt load for operating condition [Wm1]
= MAX [ Wm1a , Wm1b ]
= MAX [ 185880.4 , 185880.4 ]
= 185880.4 kgf
7. BOLT LOAD CALCULATION AS PER APPENDIX 2-5 (b2)
Minimum required bolt load for gasket seating [Wm2]
= ( p x b x G x y + b' x Lp x y' )
= ( p x 9.554 x 1294.4 x 7.031 + 0 x 0 x 0 )
= 273152.4 kgf

8. BOLT AREAS AS PER APPENDIX 2-5 (d)
Total required cross-sectional area of bolts [Am]
= MAX [ Wm2 / Sa , Wm1 / Sb ] ........ For Internal '+' Pr Design
= Wm2 / Sa ..................................... For External Pr & Self Sealing Design
= 15540.6 mm²
Actual bolt area using root diameter [Ab]
= 17513.9 mm²
Flange design bolt load for the gasket seating [W]
= 0.5 x ( Am + Ab ) x Sa x 1 .................... average bolt area
= Ab x Sa x 1 ..........................................full bolt area
= 307837.2 kgf ( Full bolt area and margin factor of 1 )
9. CHECK FOR GASKET CRUSHING
Minimum gasket width required [Nmin]
= Ab x Sb / ( 2 x p x y x G )
= 17513.9 x 17.58 / ( 2 x p x 7.031 x 1294.4 )
= 5.384 mm
10. BOLT SPACING CORRECTION FACTOR
As per Brownell & Young or IS 2825,
= SQRT [ Bolt spacing / ( 2 x db + t ) ]
As per TEMA or BS 5500,
= SQRT [ Bolt spacing / Bmax ] ................... where,
Bmax = maximum recommended bolt spacing = 2 x db + 6 x t / ( m + 0.5 )
Brownell & Young, Cf = 1 ( min. equal to 1 )
INTEGRAL FLANGE DESIGN
Shell Flng (Front)
11. LOADS AND FORCES DURING OPERATING CONDITION AS PER APPENDIX 2-3
Hydrostatic end force on area inside of flange [HD]
= 0.25 x p x B 2 x P
= 0.25 x p x 1256 2 x 0.12
= 148679.3 kgf

Gasket load (difference between flange design bolt load and total hydrostatic end force) [HG]
= Wm1 - H
= 185880.4 - 157907.4
= 27973 kgf
Difference between total hydrostatic end force and hydrostatic end force on area inside of flange [HT]
= H - HD
= 157907.4 - 148679.3
= 9228.2 kgf
12. MOMENT ARMS FOR FLANGE LOADS AS PER TABLE 2-6
Radial distance from the bolt circle to intersection of hub and back of flange, as per Appendix 2-3 [R]
= 0.5 x ( C - B ) - g1
= 0.5 x ( 1363 - 1256 ) - 17


= 36.5 mm
Radial distance from the bolt circle to the circle on which HD acts [hD]
= R + 0.5 x g1
= 36.5 + 0.5 x 17
= 45 mm
Radial distance from gasket load reaction to the bolt circle [hG]
= 0.5 x ( C - G )
= 0.5 x ( 1363 - 1294.4 )
= 34.3 mm
Radial distance from the bolt circle to the circle on which HT acts [hT]
= 0.5 x ( R + g1 + hG )
= 0.5 x ( 36.5 + 17 + 34.3 )
= 43.9 mm
13. FLANGE MOMENTS UNDER OPERATING CONDITION AS PER APPENDIX 2-6
Component of moment due to HD [MD]
= HD x hD

= 148679.3 x 45
= 6690566.9 kgf-mm
Component of moment due to HG [MG]
= HG x hG
= 27973 x 34.3
= 959588.9 kgf-mm
Component of moment due to HT [MT]
= HT x hT
= 9228.2 x 43.9
= 405136.1 kgf-mm
Total moment acting on the flange for operating condition [MO]
= MD + MG + MT
= 6690566.9 + 959588.9 + 405136.1
= 8055291.9 kgf-mm
14. LOADS AND FORCES DURING GASKET SEATING AS PER APPENDIX 2-3
Gasket load for seating condition [HG]
=W
= 307837.2 kgf
15. MOMENT UNDER GASKET SEATING AS PER APPENDIX 2-6
Total moment acting on the flange for gasket seating [MO']
= W x hG
= 307837.2 x 34.3
= 10560086 kgf-mm
16. SHAPE CONSTANTS
A/B
K
1.131
Flange factors from Fig. 2-7.1

T

1.866

Z

8.189

Y

15.84

U

17.41

e

0.00922

h0

93.77

F / h0
Factor from Fig. 2-7.2

F

0.864

Factor from Fig. 2-7.3

V

0.261

g1 / g0

2.429

h / h0
( U / V ) x h0 x g0

0.32
2

Factor from Fig. 2-7.6
17. STRESS FORMULA FACTORS
Assumed thickness [t]
= 108.7 mm
Factor [a]
=txe+1
= 108.7 x 0.00922 + 1
= 2.002
Factor [b]
= 1.333 x t x e + 1
= 1.333 x 108.7 x 0.00922 + 1
= 2.336
Factor [g]
=a/T

= 2.002 / 1.866
= 1.073
Factor [d]
=t3/d

d

306079.1

f

2.935


= 108.7 3 / 306079.1
= 4.195
Factor [l]
=g+d
= 1.073 + 4.195
= 5.268
18. FLANGE STRESSES AS PER APPENDIX 2-7 & 2-8
Equivalent moment [Mmax]
= MAX [ MO , MO' x Sfo / Sfa ]
= MAX [ 8055291.9 , 10560086 x 14.06 / 14.06 ]
= 10560086 kgf-mm
Corrected equivalent moment per unit length [M]
= Mmax x ( Cf / B )
= 10560086 x ( 1 / 1256 )
= 8407.7 kgf
Longitudinal hub stress [SH]

= f x M / ( l x g1 2 )
= 2.935 x 8407.7 / ( 5.268 x 17 2 )
= 16.21 kgf/mm²
.................................... < 1.5 x Sfo
Radial flange stress [SR]
=bxM/(lxt2)
= 2.336 x 8407.7 / ( 5.268 x 108.7 2 )
= 0.316 kgf/mm²
.................................... < Sfo
Tangential flange stress [ST]
= ( M x Y / t 2 ) - Z x SR
= ( 8407.7 x 15.84 / 108.7 2 ) - 8.189 x 0.316
= 8.69 kgf/mm²
.................................... < Sfo
Average stress
= MAX [ 0.5 x ( SH + SR ) , 0.5 x ( SH + ST ) ]
= MAX [ 0.5 x ( 16.21 + 0.316 ) , 0.5 x ( 16.21 + 8.69 ) ]
= 12.45 kgf/mm²
.................................... < Sfo
19. FLANGE RIGIDITY CHECKING AS PER APPENDIX 2-14
Modulus of elasticity for flange

Efo

19888.4 kgf/mm²

Rigidity factor
Rigidity index [J]
= 52.14 x V x Mmax / ( l x Efo x g0 2 x KI x h0 )
= 52.14 x 0.261 x 10560086 / ( 5.268 x 19888.4 x 7

= 0.996
Since J < 1.0, design is safe

KI

0.3

2

x 0.3 x 93.77 )


'CademPVD' Version 14.91 by CADEM Softwares , Pune , Website www.cadem.in
Sunay Wagle, CADEM Services,
Licensee :
Pune, India
Customer

ABC Company Ltd.

Project / Equipment

Soap Plant / Gas Filter

Designed By / Revision and Date

/ R00 , 30-03-2015 23:35:19

FLANGE DESIGN ( EXTERNAL )

Shell Flng (Front)

CODE
1. DESIGN CONDITIONS ( Design Mode 1 , Corroded Condition ) :
Design pressure
P

ASME VIII Div.1, 10 A11

Design temperature

T

150 °C

Allowance

CA

3 mm

Groove allowance
2. FLANGE DATA :
M.O.C.

Tg

0 mm

Code allw. stress @ design temp.

Sfo

14.06 kgf/mm²

0.01055 kgf/mm² g

SA-105 Frg. [UNS:K03504]

Code allw. stress @ atm. temp.

Sfa

14.06 kgf/mm²

Inside diameter

B

1256 mm

Outside diameter

A

1420 mm

Hub length

h

30 mm

Thickness ( hub end )

g1

17 mm

Thickness ( pipe end )

g0

7 mm

Thickness provided

128.7 mm

Thickness available
3. BOLTING DATA :
M.O.C.

125.7 mm
SA-193 GR. B7 Bolt [UNS:G41400]

Code allw. stress @ design temp.

Sb

17.58 kgf/mm²

Code allw. stress @ atm. temp.

Sa

17.58 kgf/mm²

Bolt PCD

C

1363 mm

Bolt dia.

db

24 mm

No. of bolts
4. LINER DATA :

nb

56

M.O.C.
Liner ID

mm

Liner OD

mm

Liner thk.
5. GASKET DATA :
5a. Flange gasket data :
M.O.C.

mm

Gasket type

Ring Gasket

Gasket confinement type

Unconfined

Flange face type

Raised Face

Flange gakset surface finish

Serrated (Normal)

Counter flange face type

Raised Face

Counter gakset surface finish

Serrated (Normal)

Applicalbe gasket sketch in Table 2-5.2

Type 1B

Spiral metal wound CAF filled (S.S.)

Applicable gasket column in Table 2-5.2
Gasket seating stress

( refer to Note 1, Table 2-5.1 )

Gasket factor

( from Table 2-5.1 )

Inside diameter
Outside diameter

1
y

7.031 kgf/mm²

m

3

Gi

1256 mm

Go

1313.5 mm

Width of gasket

( as per Table 2-5.2 )

N

28.75 mm

Width of gasket

( as per Table 2-5.2 )

w

28.75 mm

Width of raised face or gasket contact width

31.75 mm

( as per Table 2-5.2 )
Basic gasket seating width

( as per Table 2-5.2 )

b0

14.38 mm

Effective gasket width

( as per Table 2-5.2 )

b

9.554 mm

G

1294.4 mm

Dia. at load reaction
( see Table 2-5.2 )
5b. Partition groove gasket data (For H.E. body flange) :
M.O.C.

--

Gasket seating stress

( refer to Note 1, Table 2-5.1 )

Gasket factor

( from Table 2-5.1 )

y'

0 kgf/mm²

m'

0

Pass partition gasket width

Wp

0 mm

Pass partition gasket length

Lp

0 mm

Effective pass partition gasket width

b'
0 mm
6. BOLT LOAD CALCULATIONS AS PER APPENDIX 2-5 (b1)
Total joint - contact surface compression load [Hp]
= 2 x ( p x b x G x m + b' x Lp x m' ) x P
= 2 x ( p x 9.554 x 1294.4 x 3 + 0 x 0 x 0 ) x 0.01055
= 2458.4 kgf
Total hydrostatic end force [H]
= 0.25 x p x G ² x P
= 0.25 x p x 1294.4 ² x 0.01055
= 13877.8 kgf
Minimum required bolt load for operating condition [Wm1a]
= Hp + H
= 2458.4 + 13877.8
= 16336.3 kgf
Minimum required bolt load for operating condition [Wm1b]
( from mating flange )
= 16336.3 kgf
Governing bolt load for operating condition [Wm1]
= MAX [ Wm1a , Wm1b ]
= MAX [ 16336.3 , 16336.3 ]
= 16336.3 kgf
7. BOLT LOAD CALCULATION AS PER APPENDIX 2-5 (b2)
Minimum required bolt load for gasket seating [Wm2]
= ( p x b x G x y + b' x Lp x y' )
= ( p x 9.554 x 1294.4 x 7.031 + 0 x 0 x 0 )
= 273152.4 kgf
8. BOLT AREAS AS PER APPENDIX 2-5 (d)
Total required cross-sectional area of bolts [Am]
= MAX [ Wm2 / Sa , Wm1 / Sb ] ........ For Internal '+' Pr Design

= Wm2 / Sa ..................................... For External Pr & Self Sealing Design
= 15540.6 mm²
Actual bolt area using root diameter [Ab]
= 17513.9 mm²
Flange design bolt load for the gasket seating [W]
= 0.5 x ( Am + Ab ) x Sa x 1 .................... average bolt area
= Ab x Sa x 1 ..........................................full bolt area
= 307837.2 kgf ( Full bolt area and margin factor of 1 )
9. CHECK FOR GASKET CRUSHING
Minimum gasket width required [Nmin]
= Ab x Sb / ( 2 x p x y x G )
= 17513.9 x 17.58 / ( 2 x p x 7.031 x 1294.4 )
= 5.384 mm
10. BOLT SPACING CORRECTION FACTOR
As per Brownell & Young or IS 2825,
= SQRT [ Bolt spacing / ( 2 x db + t ) ]
As per TEMA or BS 5500,
= SQRT [ Bolt spacing / Bmax ] ................... where,
Bmax = maximum recommended bolt spacing = 2 x db + 6 x t / ( m + 0.5 )
Brownell & Young, Cf = 1 ( min. equal to 1 )
INTEGRAL FLANGE DESIGN
Shell Flng (Front)
11. LOADS AND FORCES DURING OPERATING CONDITION AS PER APPENDIX 2-3
Hydrostatic end force on area inside of flange [HD]
= 0.25 x p x B 2 x P
= 0.25 x p x 1256 2 x 0.01055
= 13066.8 kgf
Difference between total hydrostatic end force and hydrostatic end force on area inside of flange [HT]
= H - HD
= 13877.8 - 13066.8

= 811 kgf
12. MOMENT ARMS FOR FLANGE LOADS AS PER APPENDIX TABLE 2-6
Radial distance from the bolt circle to intersection of hub and back of flange, as per Appendix 2-3 [R]
= 0.5 x ( C - B ) - g1
= 0.5 x ( 1363 - 1256 ) - 17
= 36.5 mm
Radial distance from the bolt circle to the circle on which HD acts [hD]
= R + 0.5 x g1
= 36.5 + 0.5 x 17


= 45 mm
Radial distance from gasket load reaction to the bolt circle [hG]
= 0.5 x ( C - G )
= 0.5 x ( 1363 - 1294.4 )
= 34.3 mm
Radial distance from the bolt circle to the circle on which HT acts [hT]
= 0.5 x ( R + g1 + hG )
= 0.5 x ( 36.5 + 17 + 34.3 )
= 43.9 mm
13. FLANGE MOMENTS UNDER OPERATING CONDITION AS PER APPENDIX 2-6
Component of moment due to HD [MD]
= HD x ( hD - hG )
= 13066.8 x ( 45 - 34.3 )
= 139760.9 kgf-mm
Component of moment due to HT [MT]
= HT x ( hT - hG )
= 811 x ( 43.9 - 34.3 )
= 7784.2 kgf-mm
Total moment acting on the flange for operating condition [MO]

= MD + MT
= 139760.9 + 7784.2
= 147545.1 kgf-mm
14. LOADS AND FORCES DURING GASKET SEATING AS PER APPENDIX 2-3
Gasket load for seating condition [HG]
=W
= 307837.2 kgf
15. MOMENT UNDER GASKET SEATING AS PER APPENDIX 2-6
Total moment acting on the flange for gasket seating [MO']
= W x hG
= 307837.2 x 34.3
= 10560086 kgf-mm
16. SHAPE CONSTANTS
A/B
K
1.131
Flange factors from Fig. 2-7.1

T

1.866

Z

8.189

Y

15.84

U

17.41

h0

93.77

F / h0

e

0.00922

Factor from Fig. 2-7.2

F

0.864

Factor from Fig. 2-7.3

V

0.261

g1 / g0

2.429

h / h0

0.32

( U / V ) x h0 x g0 2

d

306079.1

Factor from Fig. 2-7.6
17. STRESS FORMULA FACTORS
Assumed thickness [t]
= 108.9 mm
Factor [a]
=txe+1
= 108.9 x 0.00922 + 1
= 2.004
Factor [b]
= 1.333 x t x e + 1
= 1.333 x 108.9 x 0.00922 + 1
= 2.338
Factor [g]
=a/T
= 2.004 / 1.866
= 1.074
Factor [d]
=t3/d
= 108.9 3 / 306079.1
= 4.217

Factor [l]
=g+d
= 1.074 + 4.217
= 5.29
18. FLANGE STRESSES AS PER APPENDIX 2-7 & 2-8
Equivalent moment [Mmax]

f

2.935