Deaerator Design Calculation Report

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 1 OF 152

CALCULATION SHEET FOR

SPINNING-MEMBRANE DEAERATOR

(JOB NO.: 86811-345)

(DRAWING NO.: HMC-250(13)-00. REV. 0)

3 2 1 0

REVISION DATE DESCRIPTIONDESIGNED BY

ENGINEER TECHNOLOGY

DEPT. MANAGER

青岛畅隆电力设备有限公司

QINGDAO CHANGLONG POWER EQUIPMENT Co. Ltd

.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 2 OF 152

TABLE OF CONTENTS

1 DESIGN DATA 3 2 MAX. ALLOWABLE STRESS AT DESIGN TEMPERATURE 6 3 THICKNESS OF CYLINDRICAL SHELL UNDER INTERAL PRESSURE 7 4 THICKNESS OF ELLIPSOIDAL HEADS, PRESSURE ON CONCAVE SIDE 9 5 THICKNESS OF NOZZLE NECK UNDER INTERNAL PRESSURE 12 6 MAX. ALLOWABLE WORKING PRESSURE 21 7 HYDROSTATIC TEST PRESSURE AND TEMPERATURE 22 8 REINFORCEMENT FOR OPENINGS 23 9 PRESSURE-TEMPERATURE RATING FOR ASME FLANGE 139

10 THE CALCULATION OF LIFTING LUG 140 11 CHECK FOR STRENGTH AND STABILITY OF THE HORIZONTAL VESSEL 148 12 CHECK FOR POST WELD HEAT TREATMENT 152 13 EVALUATION OF IMPACT TEST REQUIREMENT 152

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 3 OF 152

1. DESIGN DATA:

(1) APPLICABLE CODE

CUSTOMER SPECIFICATION

ASME BOILER AND PRESSURE VESSELS CODE

SECTION Ⅷ DIVSION 1 2010 EDITION AND

PED 97/23/EC

DOC. NO. 2011-83-1-86811-345-0/Rev 0

(2) DESIGN PRESSURE INTERNAL 0.65 MPa

(3) DESIGN TEMPERATURE 300℃

(4) TYPE OF JOINTS OF CATEGORIES A AND B TYPE NO.1

(5) RADIOGRAPHY SPOT PER UW-11(b)

(6) JOINT EFFICIENCY SHELL: 0.85, HEAD: 0.85, SHELL to HEAD: 0.85

(7) CORROSION ALLOWANCE(TANK/TOWER) 2.6 mm / 3.5 mm.

(8) MATERIAL SHELL & HEAD :SA-516MGr.485

NOZZLE: SA-106Gr.B

FLANGE: SA-105M

(9) MAX. ALLOWABLE STRESS AT DESIGN

TEMPERATURE(SEE TABLE 2.1 )

SA-105: 129.3MPa at 300℃

SA-106Gr.B: 125.3MPa at 300℃

SA-516MGr.485: 136MPa at 300℃

(10) HEAD TYPE 2:1 Standard Ellipsoidal Head

(11) CAPACITY (TANK / TOWER) 64.9 m3 /6.7 m3

(12) SERVICE FLUID WATER AND STEAM (no lethal)

(13) MIN. SERVICE TEMPERATURE -10℃

(14) THE LOADING CONSIDERED IN DESIGNING SEE TABLE 1-1

(15) VESSEL DIMENSIONS SEE FIG. 1-1

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TABLE 1.1 LOADING CONSIDERED IN DESIGNING DEAERATOR′S

TANK DEAERATOR′S

TOWER Item Description Yes No Yes No

1 Internal pressure [ √ ] [ ] [ √ ] [ ] 2 External pressure [ ] [ √ ] [ ] [ √ ] 3 Weight of vessel [ √ ] [ ] [ √ ] [ ] 4 Weight of normal contents under operation

conditions [ √ ] [ ] [ ] [√ ]

5 Weight of normal contents under test conditions [ √ ] [ ] [ √ ] [ ] 6 Superimposed static reactions from weight of

attached equipment [ ] [ √ ] [ ] [ √ ]

7 The attachments of internals [ ] [ √ ] [ ] [ √ ] 8 The attachments of vessel supports (skirt, legs,

saddles etc.) [ √ ] [ ] [ √ ] [ ]

9 The attachments of hanger [ √ ] [ ] [ √ ] [ ] 10 Cyclic and dynamic reactions due to pressure [ ] [ √ ] [ ] [ √ ] 11 Cyclic and dynamic reactions due to thermal

variations [ ] [ √ ] [ ] [ √ ]

12 Cyclic and dynamic reactions due to equipment mounted on the vessel

[ ] [ √ ] [ ] [ √ ]

13 Cyclic and dynamic reactions due to mechanical loadings

[ ] [ √ ] [ ] [ √ ]

14 Wind reactions [ ] [ √ ] [ ] [ √ ] 15 Snow reactions [ ] [ √ ] [ ] [ √ ] 16 Seismic reactions [ ] [ √ ] [ ] [ √ ] 17 Impact reactions, such as those due to fluid shock [ ] [ √ ] [ ] [ √ ] 18 Temperature gradients [ ] [ √ ] [ ] [ √ ] 19 Differential thermal expansion [ ] [ √ ] [ ] [ √ ] 20 Abnormal pressure, such as those caused by

deflagration [ ] [ √ ] [ ] [ √ ]

21 Test pressure and coincident static head acting during the test (See UG-99)

[√ ] [ ] [√ ] [ ]

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LIST OF NOZZLES TABLE 1.2

NOZZLE NO. Q’TY SIZE TYPE DESCRIPTION REMARKS

A1 1 DN500 CLASS150 SO RF MANHOLE SA-516MGr.485

A2 1 DN450 CLASS150 SO RF MANHOLE SA-516MGr.485

B 1 DN200 WELDING STEAM CONNECT NOZZLE SA-106Gr.B

C1-2 2 DN80 WELDING RECYCLING NOZZLE SA-106Gr.B

D1-2 2 DN150 CLASS150 SO RF SAFETY VALVE NOZZLE SA-106Gr.B

E 1 DN100 WELDING HP DRAIN INLET SA-106Gr.B

F 1 DN150 CLASS150 SO RF CHECK-UP NOZZLE SA-106Gr.B

G 1 DN80 CLASS150 SO RF EXHAUST NOZZLE SA-106Gr.B

H 1 DN200 WELDING FEED WATER INLET SA-106Gr.B

I 1 DN150 WELDING SUPPLY WATER INLET SA-106Gr.B

J 1 DN80 WELDING SECONDARY STEAM INLET SA-106Gr.B

K 1 DN200 WELDING STEAM INLET SA-106Gr.B

L 1 DN100 WELDING STEAM LEAKING FROM GATE POLE SA-106Gr.B

M 1 DN80 WELDING REBOILING NOZZLE SA-106Gr.B

N 1 DN150 WELDING OUTFALL NOZZLE SA-106Gr.B

O 1 DN250 WELDING DEAERATED WATER OURLET SA-106Gr.B

P1-2 2 DN10 WELDING SAMPLING WATER NOZZLE SA-106Gr.B

Q 1 DN200 WELDING WATER CONNECT NOZZLE SA-106Gr.B

R 1 DN250 WELDING DEAERATED WATER OURLET SA-106Gr.B

S 1 DN100 WELDING HIGH LEVEL ELECTRIC OFFLET SA-106Gr.B

T1-2 2 DN50 CLASS150 SO.RF ELECTRIC CONTACT LEVEL GAUGE NOZZLE SA-106Gr.B

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 6 OF 152

NOZZLE NO. Q’TY SIZE TYPE DESCRIPTION REMARKS

U1-4 4 DN50 CLASS150 SO RF EQUALIZER NOZZLE SA-106Gr.B

V1-2 2 DN20 INTERNAL THREAD BIMETALLIC THERMOMETER NOZZLE SA-105M

V3 1 DN20 INTERNAL THREAD RESISTANCE THERMOMETER NOZZLE SA-105M

W1-2 2 DN15 INTERNAL THREAD PRESSURE GAUGE SA-105M

W3 1 DN10 WELDING PRESSURE SIGNAL NOZZLE SA-106Gr.B

X1-2 2 DN50 CLASS150 PL. RF LEVEL GAUGE NOZZLE SA-106Gr.B

Y1 1 DN100 WELDING DRAIN INLET SA-106Gr.B

Z1-2 2 DN50 CLASS150 SO RF ELECTRIC CONTACT LEVEL GAUGE NOZZLE SA-106Gr.B

Y2 1 DN80 WELDING WATER FROM SLAG-COOLER INLET SA-106Gr.B

Note: Bolt holes of flanges shall straddle center line of the vessel.

FIG.1-1 Brief Drawing of Shell

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2. MAX. ALLOWABLE STRESS AT DESIGN TEMPERATURE

TABLE 2.1

ALLOWABLE STRESS VALUE (MPa)YIELD STRENGTH

VALUE (MPa)

TENSILE STRENGTH

VALUE (MPa)

ASME PED ASME ASME

300℃ 20℃ 300℃ 20℃ 300℃ 20℃ 300℃ 20℃

SHELL AND HEAD MATERIAL

SA-516MGr.485 136 138 136 174.6 204 262 483 483

PIPE MATERIAL

SA-106Gr.B 118 118 125.3 160.6 188 241 414 414

FLANGE MATERIAL

SA-105 129 138 129.3 165.3 194 248 483 483

BOLT MATERIAL

SA-193.B7 130 130 287 287 595 724 689 689

注/NOTE: 1 材料的许用应力取值依据 PED/97/23/EC 附录Ⅰ规定: MATERIAL ALLOWANCE STRESS VALUE IS IN ACCORDANCE WITH PED/97/23/EC

REGULATION ANNEX Ⅰ: 1. 对材料/FOR MATERIAL SA-516MGr.485: Re/t=204MPa, Rm/20=483MPa, Sd=MIN{Re/t×2/3,

Rm/20×5/12}=136 MPa

2. 对材料 /FOR MATERIAL SA-106Gr.B: Re/t=188MPa, Rm/20=414MPa, Sd=MIN{Re/t×2/3,

Rm/20×5/12}=125.3 MPa

3. 对材料/FOR MATERIAL SA-105: Re/t=194MPa, Rm/20=483MPa, Sd=MIN{Re/t×2/3, Rm/20×

5/12}=129.3 MPa

4. 对材料/FOR MATERIAL SA-193.B7: Re/t=595MPa, Rm/20=689MPa, Sd=MIN{Re/t×2/3, Rm/20

×5/12}=287 MPa

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3. THICKNESS OF CYLINDRICAL SHELL UNDER INTERNAL PRESSURE 3-1 DEAERATOR′S TANK:

ASME SEC.Ⅷ DIV.1 UG-27

Part : Shell of tank

Design pressure P (MPa) : 0.65

Design temperature (℃) : 300

Material : SA-516MGr.485

Maximum allowable stress value at design temperature Sd (MPa) : 136

Maximum allowable stress value at test temperature St (MPa) : 174.6

Height to point under consideration H (m) : 6.769

Density of test medium (water) at test temperature ρ (kg/m3) : 1000

Type of welded joints in TABLE UW-12 : Type No. (1)

Radiographic examination : SPOT

Per UW-11(b)

Joint efficiency (specified in UW-12) E : 0.85

Negative Deviation: C1 (mm) : 0.3

Corrosion allowance (designated by customer) C2 (mm) : 2.6

Nominal shell thickness tn (mm) 16

Inside radius corroded R (mm) : 1402.6

Final center line radius Rf (mm) : 1408

Original center line radius (specified in UCS-79) Ro (mm) : ∞(Infinity）

Shell length L (mm) : 9280

Total weight WT (kg) : 95000

Reaction at each saddle Q (N) : 465975

Head depth H (mm) : 700

Saddle to tangent line A (mm) : 1140

(1) Thickness calculation for shells under internal pressure with supplemental loading.

Here three cases must be investigated:

(a) circumferential stress due to internal pressure

(b) longitudinal tensile stress due to bending must be added to the longitudinal stress due to

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 9 OF 152

internal pressure.

(c) Longitudinal compressive stress due to bending.

Case 1 circumferential tensile stress. In this horizontal vessel; the equation in UG-27 (c)(1) is used:

P = 0.65 + ρgH/106 = 0.65 + 1000×9.81×6.769/106 = 0.7165 MPa

mmPES

PRtd

73.87165.06.085.0136

6.14027165.06.01 =

×−××

=−

=

Case 2 longitudinal tensile stress. The following equation combines longitudinal tensile stress due

to pressure with the longitudinal tensile stress due to bending at the midpoint between two

saddles:

t2 = PSE

PR4.02 +

±

⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢

⎣

⎡

−+

−+

×LA

LH

LHR

SERQL 4

341

)(21

42

22

2π

= 7165.04.085.01362

6.14027165.0×+××

×±

⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢

⎣

⎡×

−

××

+

−+

××××

×9280

11404

9280370041

9280)7006.1402(21

85.01366.140249280465975 2

22

2π

= 4.35 ± 1.514×(0.9242-0.4914) = 4.35 ± 0.656 = 5.006 mm

Case 3 Longitudinal compressive stress. First determine the allowable compressive stress [see

UG-23(b)]

A = tRO /

125.0=

16/6.1418125.0

= 0.00141

B= 70 MPa (from Fig. CS-2)

The general equation for thickness is the same as for longitudinal tensile stress except the

pressure portion drops out since the most servere condition occurs when there is no pressure in

the vessels.

t3 =

⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢

⎣

⎡

−+

−+

×LA

LH

LHR

SERQL 4

341

)(21

42

22

2π

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 10 OF 152

=

⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢

⎣

⎡×

−

××

+

−+

××××

×9280

11404

9280370041

9280)7006.1402(21

85.0706.140249280465975 2

22

2π

= 2.94×(0.9242-0.4914) = 1.28 mm

(2) Design thickness

Required minimum shell thickness including allowance

t = max(t1,t2,t3) + C1+C2 = 8.73+0.3+2.6 = 11.63 mm

(3) Provided thickness

Nominal thickness (mm) 16 > t OK

(4) Check minimum required thickness for paragraph UG-16 (b) (4)

Minimum thickness required (including corrosion allowance) : 2.5 + 2.6 = 5.1 mm,

nominal thickness is 16 mm > 5.1 mm, OK

(5) Check extreme fiber elongation for paragraph UCS-79

Maximum allowable fiber elongation without post weld heat treatment is based on the following

formula: For single curvature

%5%569.0%140811408

1650%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f

None of the conditions in UCS-79 (1~5) apply, so no heat treatment after cold forming need to apply.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 11 OF 152

3-2 DEAERATOR′S TOWER:


Part : Shell of tower

Design pressure P (MPa) : 0.65

Design temperature (℃) : 300

Material : SA-516MGr.485

Maximum allowable stress value at design temperature Sd (MPa) : 136

Maximum allowable stress value at test temperature St (MPa) : 174.6

Height to point under consideration H (m) : 2.950

Density of test medium (water) at test temperature ρ (kg/m3) : 1000



Per UW-11(b)

Joint efficiency (specified in UW-12) E : 0.85


Corrosion allowance (designated by customer) C2 (mm) : 3.5

Nominal shell thickness tn (mm) 12

Inside radius corroded R (mm) : 903.5

Final center line radius Rf (mm) : 906

Original center line radius (specified in UCS-79) Ro (mm) : ∞（Infinity）

(1) Required minimum shell thickness excluding allowance (circumferential stress)

0.385SE = 0.385×136×0.85=44.506> P according to UG-27(b)&(c)

(a) For design condition

mmPES

PRtd

10.565.06.085.0136

5.90365.06.01min =

×−××

=−

=

(b) For hydrostatic test condition

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 12 OF 152

mm

HESRH

PESPRt

tt

12.415.097.3)10/100095.281.9(6.085.06.174

5.90310/100095.281.965.06.085.06.174

5.90365.0

)10/81.9(6.0)10/81.9(

6.0

6

6

6

6

2min

=+=×××−×

×××+

×−××

=

−+

−=

ρρ


Required minimum shell thickness including allowance

T = max(tmin1,tmin2)+C1+C2 = 5.10 + 0.3 + 3.5 = 8.9 mm


Nominal thickness (mm) 12 > t OK

(4) Check minimum required thickness for paragraph UG-16 (b) (4)


nominal thickness is 12 mm> 6.0 mm, OK



formula: For single curvature

%5%663.0%9061906

1250%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f

None of the conditions in UCS-79 (1~5) apply, so no heat treatment after cold forming need to

apply.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 13 OF 152

4. THICKNESS OF ELLIPSOIDAL HEAD, PRESSURE ON CONCAVE SIDE

4-1 DEAERATOR′S TANK:


●Part : Heads of tank

●Design pressure P (MPa) : 0.65

●Design temperature (℃) : 300

●Material : SA-516MGr.485

●Maximum allowable stress value at design temperature Sd (MPa) : 136

●Maximum allowable stress value at test temperature St (MPa) : 174.6

●Height to point under consideration (left head) H (m) : 6.769

●Height to point under consideration (right head) H (m) : 6.769

●Density of test medium at test temperature ρ(kg/m3) : 1000



Per UW-11(b)

●Weld joining heads to shell : Type No. (1)，

SPOT Per

UW-11(b)

●Joint efficiency (specified in UW-12(d)) E : 0.85


●Corrosion allowance (designated by customer) C2 (mm) : 2.6

●Inside diameter of ellipsoidal head (corroded) D 2805.2

●Inside spherical radius of hemispherical head R (mm) : 1402.6

●Crown final centerline radius (specified in UG-32(d)

and UCS-79)

Rf (mm) : 2528

●Knuckle final centerline radius (specified in UG-32(d)

and UCS-79)

rf (mm) : 482.96

●Original center line radius (specified in UCS-79) R0 (mm) : ∞（Infinity）

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 14 OF 152

(1) Required minimum head thickness

Without joint, according to UW-12(d), E=0.85, L = 0.9D = 0.9×2805.2 = 2524.68 mm

ts/L = 13.92/2524.68=0.00552 > 0.002 according to UG-32(d)

(a) For the left head according to UG-32(d)

(a-1) for design condition

Required minimum head thickness excluding allowance tmin

mmPES

PDtd

90.765.02.085.01362

2.280565.02.021min =

×−×××

=−

=

(b) For the right head

(b-1) for design condition


mmPES

PDtd

90.765.02.085.01362

2.280565.02.022min =

×−×××

=−

=

(b-2) for hydrostatic test condition

(Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)

mm

HESDH

PESPDt

tt

78.663.015.6)10/1000769.681.9(2.085.06.1742

2.280510/1000769.681.965.02.085.06.1742

2.280565.0

)10/81.9(2.02)10/81.9(

2.02

6

6

6

6

3min

=+=×××−××

×××+

×−×××

=

−+

−=

ρρ


Required minimum head thickness including allowance

t= max(tmin1,tmin2,tmin3) + C1+C2 = 7.90 + 0.3 + 2.6 = 10.8 mm


Nominal thickness (mm) 16

Minimum thickness after forming (mm) 13.92 ≥ t OK

(4) Check minimum head thickness for hemispherical head from paragraph UG-32 (b) & (f) 0.665SE =

0.665 × 136× 0.85 = 76.874 MPa >P

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 15 OF 152

Required minimum hemispherical head thickness

mmPSE

PLt h 11.765.02.085.01362

68.252465.02.02min =

×−×××

=−

=

Tr = tminh/E= 7.11/0.85 = 8.37 mm < 13.92 mm OK

(5) Check minimum required thickness for paragraph UG-16(b)(4)

Minimum thickness required (including corrosion allowance) : 2.5+2.6 = 5.1mm,

minimum thickness after forming is 13.92 mm.> 5.1 mm OK


Maximum allowable fiber elongation without heat treatment is based on the following formula: For

double curvature

Crown radius elongation

%5%475.0%252812528

1675%175

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f

Knuckle radius elongation

%5%49.2%96.482196.4821675%175

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

Rr

rtr f

f

None of the conditions listed in UCS-79(d)(1) through (5) exist, so no heat treatment of heads after

cold forming need to apply for SA-516MGr.485 (P-NO.1 Group NO.2).

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 16 OF 152



●Part : Heads of tower



●Material : SA-516MGr.485

●Maximum allowable stress value at design temperature Sd (MPa) : 136

●Maximum allowable stress value at test temperature St (MPa) : 174.6

●Height to point under consideration (bottom head) H (m) : 3.437

●Height to point under consideration (top head) H (m) : 0.787

●Density of test medium at test temperature ρ(kg/m3) : 1000



Per UW-11(b)

●Weld joining heads to shell : Type No. (1)，

SPOT Per

UW-11(b)

●Joint efficiency (specified in UW-12(d)) E : 0.85



●Inside diameter of ellipsoidal head (corroded) D 1807

●Inside spherical radius of hemispherical head R (mm) : 903.5

●Crown final centerline radius (specified in UG-32(d)

and UCS-79)

Rf (mm) : 1626

●Knuckle final centerline radius (specified in UG-32(d)

and UCS-79)

rf (mm) : 311.22

●Original center line radius (specified in UCS-79) R0 (mm) : ∞（Infinity）

(1) Required minimum head thickness

Without joint, according to UW-12(d), E = 0.85, L=0.9D = 0.9×1807 = 1626.3mm

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 17 OF 152

ts/L = 10.44/1626.3 =0.00642 > 0.002 according to UG-32(d)

(a) For the top head according to UG-32(d)

(a-1) for design condition


mmPES

PDtd

09.565.02.085.01362

180765.02.021min =

×−×××

=−

=

(b) For the bottom head

(b-1) for design condition


mmPES

PDtd

09.565.02.085.01362

180765.02.022min =

×−×××

=−

=

(b-2) for hydrostatic test condition

(Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)

mm

HESDH

PESPDt

tt

17.421.096.3)10/1000437.381.9(2.085.06.1742

180710/1000437.381.965.02.085.06.1742

180765.0

)10/81.9(2.02)10/81.9(

2.02

6

6

6

6

3min

=+=×××−××

×××+

×−×××

=

−+

−=

ρρ


Required minimum head thickness including allowance

t=max(tmin1,tmin2,tmin3)+C1+C2= 5.09 + 0.3+3.5 = 8.89 mm


Nominal thickness (mm) 12

Minimum thickness after forming (mm) 10.44 ≥ t OK

(4) Check minimum head thickness for hemispherical head from paragraph UG-32 (b) & (f) 0.665SE =

0.665 × 136× 0.85 =76.874 MPa >P

Required minimum hemispherical head thickness

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 18 OF 152

mmPSE

PLt h 58.465.02.085.01362

3.162665.02.02min =

×−×××

=−

=

tr=tminh/E= 4.58/0.85 = 5.39 mm < 10.44 mm OK

(5) Check minimum required thickness for paragraph UG-16(b)(4)


minimum thickness after forming is 10.44 mm.> 6.0 mm OK


Maximum allowable fiber elongation without heat treatment is based on the following formula: For

double curvature

Crown radius elongation

%5%554.0%162611626

1275%175

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f

Knuckle radius elongation

%5%892.2%22.311122.3111275%175

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

Rr

rtr f

f

None of the conditions listed in UCS-79(d)(1) through (5) exist, so no heat treatment of heads after

cold forming need to apply for SA-516MGr.485 (P-NO.1 Group NO.2).

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 19 OF 152

5. THICKNESS OF NOZZLE NECK INTERNAL PRESSURE


5-1-1 FOR NOZZLE A1 ASME SEC.Ⅷ DIV.1 UG-45


●Design temperature T (℃) : 300

●Material of nozzle neck : SA-516M Gr.485

●Allowable stress of nozzle neck material at design

temperature

Sd (MPa)

:

136

● Allowable stress of nozzle neck material at test

temperature

St (MPa)

:

174.6

●Material of head : SA-516M Gr.485

● Allowable stress of shell (or head) at design

temperature

Ss (MPa)

:

136

●Height to point under consideration H (m) : 6.387

●Density of test medium at test temperature (water) ρ(k/m3) : 1000

●Type of welded joints of nozzle neck in TABLE

UW-12

Type No. (1)

●Radiographic examination of nozzle neck SPOT Per UW-11(b)

●Joint efficiency of nozzle neck (specified in UW-12) E : 0.85

●Negative Deviation: C1 (mm) : 0.3


●Outside radius of nozzle neck Ro (mm) : 254

●Inside radius of nozzle corroded R (mm) : 244.6

●Inside radius of shell corroded Rs (mm) : 1402.6

●Final center line radius of nozzle Rf (mm) : 248

●Original center line radius of nozzle R0 (mm) : ∞(Infinity)

(1) Minimum required thickness of nozzle par. UG-45 (a) and UG-27 (c) (1)

0.385SE = 0.385×136×0.85 = 44.506 > P

(a) under design condition

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 20 OF 152

Required minimum thickness including allowance

mmCPES

PRtd

29.49.239.16.23.065.06.085.0136

6.24465.06.01min =+=++

×−××

=+−

=

(b) under hydrostatic test condition


mm

CHES

RHPES

PRttt

09.49.211.008.1

6.23.0)10/1000387.681.9(6.085.06.174

6.24410/1000387.681.965.06.085.06.174

6.24465.0

)10/81.9(6.0)10/81.9(

6.0

6

6

6

6

2min

=++=

++×××−×

×××+

×−××

=

+−

+−

=ρ

ρ

(c) With supplemental loading by flange and cover

● Weight of flange and cover W = 250 kg

● Bending moment due to supplemental loading

Under operating condition M1 = 250×9.81×0.166= 408 N·m

Under cover opened condition M2 = 250×9.81×0.466=1143 N·m

Per UG-27(c) and Appendix L, Use S = 136 × 1.5 = 204 MPa (see UG-23(c))

mm

CSER

MPSE

PRt

4.39.2000013.046.0

6.23.085.02046.244

40865.04.085.02042

6.24465.04.02

2

21

3

≈++=

++×××

+×+××

×=

+++

=

π

π

mmCSER

Mt 0.39.200004.06.23.085.02046.244

114322

24 ≈+=++

×××=+=ππ


Nominal thickness (mm) 12 > tmin1,tmin2,t3,t4 OK



formula: for single curvature

%5%42.2%2481248

1250%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f

None of the condition list in UCS-79 (d) (1-5) exists, so no heat treatment after cold forming need to

apply.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 21 OF 152

5-1-2 FOR NOZZLE B.K ASME SEC.Ⅷ DIV.1 UG-45



●Material of nozzle neck : SA-106Gr.B


temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6

●Material of shell : SA-516MGr.485


temperature

Ss (MPa)

:

136


●Density of test medium at test temperature (water) ρ(kg/m3) : 1000


UW-12

:

Seamless

●Joint efficiency of nozzle neck E : 1.0

●Corrosion allowance (designated by customer) C (mm) : 2.6

●Outside radius of nozzle neck Ro (mm) : 109.55

●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 8.18


(1) Minimum required thickness of nozzle neck for par. UG-45 (a)

0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P

(a) under design condition Appendix 1-1


mmCPES

PRtd

o 17.36.265.04.013.125

55.10965.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 22 OF 152

mm

CHES

RHPES

PRtt

o

t

o

08.36.203.045.0

6.2)10/1000953.381.9(4.016.160

55.10910/1000953.381.965.04.016.160

55.10965.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00

mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm

(3) Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)

tp = 0.875tstd + C = 0.875 × 8.18 + 2.6 = 9.76 mm

t = (the smaller value of ts or tp) per UG-45(b)

= 9.33 mm. > tmin1,tmin2


Nominal thickness (mm) 12.7

Minimum thickness (mm) 12.7×0.875 = 11.11 ≥ t OK

5-1-3 FOR NOZZLE C1-2. .M ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 23 OF 152

UW-12 : Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 84.26.265.04.013.125

45.4465.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

8.26.202.018.0

6.2)10/1000953.381.9(4.016.160

45.4410/1000953.381.965.04.016.160

45.4465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 5.49 + 2.6 = 7.41 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 24 OF 152

5-1-4 FOR NOZZLE D1 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 04.36.265.04.013.125

15.8465.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 25 OF 152

mm

CHES

RHPES

PRtt

o

t

o

98.26.203.035.0

6.2)10/1000953.381.9(4.016.160

15.8410/1000953.381.965.04.016.160

15.8465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 7.11 + 2.6 = 8.82 mm






5-1-5 FOR NOZZLE L ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 26 OF 152

UW-12 : Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 9.26.265.04.013.125

15.5765.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

86.26.202.024.0

6.2)10/1000953.381.9(4.016.160

15.5710/1000953.381.965.04.016.160

15.5765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 ×6.02 + 2.6 = 7.87 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 27 OF 152

5-1-6 FOR NOZZLE N ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 04.36.265.04.013.125

15.8465.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 28 OF 152

mm

CHES

RHPES

PRtt

o

t

o

99.26.204.035.0

6.2)10/1000919.681.9(4.016.160

15.8410/1000919.681.965.04.016.160

15.8465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 7.11 + 2.6 = 8.82 mm






5-1-7 FOR NOZZLE O.R ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 29 OF 152

UW-12 : Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 31.36.265.04.013.125

5.13665.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

22.36.206.056.0

6.2)10/1000919.681.9(4.016.160

5.13610/1000919.681.965.04.016.160

5.13665.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 9.27 + 2.6 = 10.7 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 30 OF 152

5-1-8 FOR NOZZLE S ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 9.26.265.04.013.125

15.5765.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 31 OF 152

mm

CHES

RHPES

PRtt

o

t

o

87.26.203.024.0

6.2)10/1000919.681.9(4.016.160

15.5710/1000919.681.965.04.016.160

15.5765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 ×6.02 + 2.6 = 7.87 mm






5-1-9 FOR NOZZLE Q ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 32 OF 152

UW-12 : Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 17.36.265.04.013.125

55.10965.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

1.36.205.045.0

6.2)10/1000919.681.9(4.016.160

55.10910/1000919.681.965.04.016.160

55.10965.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 8.18 + 2.6 = 9.76 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 33 OF 152

5-1-10 FOR NOZZLE T1.U1.U3.Z1.X1 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 76.26.265.04.013.125

15.3065.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 34 OF 152

mm

CHES

RHPES

PRtt

o

t

o

738.26.2008.013.0

6.2)10/1000284.481.9(4.016.160

15.3010/1000284.481.965.04.016.160

15.3065.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 3.91 + 2.6 = 6.02 mm






5-1-11 FOR NOZZLE T2.U2.U4.Z2.X2 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136

●Height to point under consideration H (m) : 6484



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 35 OF 152

UW-12 : Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 76.26.265.04.013.125

15.3065.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

75.26.202.013.0

6.2)10/1000484.681.9(4.016.160

15.3010/1000484.681.965.04.016.160

15.3065.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 3.91 + 2.6 = 6.02 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 36 OF 152

5-1-12 FOR NOZZLE W2 ASME SEC.Ⅷ DIV.1 UG-45



●Material of nozzle neck : SA-105M


temperature

Sd (MPa)

:

129.3


temperature

St (MPa)

:

165.3



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P



mmCPES

PRtd

o 69.26.265.04.013.129

5.1765.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 37 OF 152

mm

CHES

RHPES

PRtt

o

t

o

676.26.2006.007.0

6.2)10/1000364.581.9(4.013.165

5.1710/1000364.581.965.04.013.165

5.1765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 2.77 + 2.6 = 5.02 mm




Nominal thickness (mm) 6.5 ≥ t OK

5-1-13 FOR NOZZLE V2-3 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

129.3


temperature

St (MPa)

:

165.3



temperature

Ss (MPa)

:

136




UW-12

:

Seamless

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 38 OF 152







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P



mmCPES

PRtd

o 73.26.265.04.013.129

2565.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

708.26.2008.01.0

6.2)10/1000378.581.9(4.013.165

2510/1000378.581.965.04.013.165

2565.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 2.87 + 2.6 = 5.12 mm





5-1-14 FOR NOZZLE P1-2 ASME SEC.Ⅷ DIV.1 UG-45


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 39 OF 152




temperature

Sd (MPa)

:

129.3


temperature

St (MPa)

:

165.3

●Material of shell(nozzle R.O) : SA-106Gr.B

●Allowable stress of shell at design temperature Ss (MPa) : 125.3




UW-12

:

Seamless







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P



mmCPES

PRtd

o 67.26.265.04.013.129

5.1265.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

656.26.2006.005.0

6.2)10/1000852.681.9(4.013.165

5.1210/1000852.681.965.04.013.165

5.1265.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of shell (nozzle R.O) for par. UG-45 (b) (1), and UG-16 (b) (4),

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 40 OF 152

Es = 1.00

mmCPES

PRtss

ss 26.36.2

65.04.013.1254.12665.0

4.0=+

×+××

=++

= ＜ 2.5+2.6 = 5.1 mm

ts = 5.1 mm


tp = 0.875tstd + C = 0.875 × 2.31 + 2.6 = 4.62 mm





5-1-15 FOR ANNECTENT NOZZLE OF TANK AND

TOWER




●Material of nozzle neck : SA-516MGr.485


temperature

Sd (MPa)

:

136


temperature

St (MPa)

:

174.6



temperature

Ss (MPa)

:

136




UW-12

:

Type No. (1)

●Radiographic examination : SPOT

Per UW-11(b)

●Joint efficiency (specified in UW-12) E : 0.85

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 41 OF 152





●Final center line radius of nozzle Rf (mm) : 398.4



0.385SE = 0.385× 136 ×0.85 = 44.506 > P



mmCPES

PRtd

9.46.23.26.265.06.085.0136

4.40665.06.01min =+=+

×−××

=+−

=



mm

CHES

RHPES

PRttt

5.46.211.079.1

6.2)10/1000015.481.9(6.085.06.174

4.40610/1000015.481.965.06.085.06.174

4.40665.0

)10/81.9(6.0)10/81.9(

6.0

6

6

6

6

2min

=++=

+×××−×

×××+

×−××

=

+−

+−

=ρ

ρ


mm 5.16.22.533.96.273.66.265.06.01136

6.140265.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 9.33 mm


tp = 0.875tstd + C = 0.875 × 9.53 + 2.6 = 10.94 mm





(5) Maximum allowable fiber elongation without post weld heat treatment is based on the following


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 42 OF 152

%5%1.2%4.39814.398

1650%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f


apply.


5-2-1 FOR NOZZLE E ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 43 OF 152

mmCPES

PRtd

o 8.35.365.04.013.125

15.5765.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

75.35.301.024.0

5.3)10/1000378.281.9(4.016.160

15.5710/1000378.281.965.04.016.160

15.5765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 0.65.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 ×6.02 + 3.5 = 8.77 mm






5-2-2 FOR NOZZLE Y2 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 44 OF 152

temperature Ss (MPa) : 136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 74.35.365.04.013.125

45.4465.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

684.35.3004.018.0

5.3)10/1000165.181.9(4.016.160

45.4410/1000165.181.965.04.016.160

45.4465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 45 OF 152




5-2-3 FOR NOZZLE J ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 74.35.365.04.013.125

45.4465.04.01min =+

×+××

=++

=


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 46 OF 152


mm

CHES

RHPES

PRtt

o

t

o

684.35.3004.018.0

5.3)10/1000445.181.9(4.016.160

45.4410/1000445.181.965.04.016.160

45.4465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm






5-2-4 FOR NOZZLE F ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 47 OF 152


UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 94.35.365.04.013.125

15.8465.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

857.35.3007.035.0

5.3)10/1000205.181.9(4.016.160

15.8410/1000205.181.965.04.016.160

15.8465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 48 OF 152

5-2-5 FOR MANHOLE NOZZLE A2 ASME SEC.Ⅷ DIV.1 UG-45



●Material of nozzle neck : SA-516MGr.485

● Allowable stress of nozzle neck material at design

temperature

Sd (MPa)

:

136

●Allowable stress of nozzle neck material at test temperature St (MPa) 174.6



●Type of welded joints of nozzle neck in TABLE UW-12 Type No. (1)

●Radiographic examination of nozzle neck SPOT Per UW-11(b)

●Joint efficiency of nozzle neck (specified in UW-12) E : 0.85

●Negative Deviation: C1 (mm) : 0.3



●Inside radius of nozzle corroded R (mm) : 220




(1) Minimum required thickness of nozzle par. UG-45 (a) and UG-27 (c) (1)

0.385SE = 0.385×136×0.85 = 44.506 > P



mmCPES

PRtd

05.58.325.15.33.065.06.085.0136

22065.06.01min =+=++

×−××

=+−

=

(b)under hydrostatic test condition


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 49 OF 152

mm

CHES

RHPES

PRttt

802.48.3032.097.0

5.33.0)10/1000166.281.9(6.085.06.174

22010/1000166.281.965.06.085.06.174

22065.0

)10/81.9(6.0)10/81.9(

6.0

6

6

6

6

2min

=++=

++×××−××××

+×−×

×=

+−

+−

=ρ

ρ

(c) With supplemental loading by flange and cover

● Weight of flange and cover W = 193 kg

● Bending moment due to supplemental loading

Under operating condition M1 = 193×9.81×0.162 = 307 N·m

Under cover opened condition M2 = 193×9.81×0.462 =875 N·m

Per UG-27(c) and Appendix L, Use S = 136 × 1.5 = 204 MPa (see UG-23(c))

mm

CSER

MPSE

PRt

23.48.300002.042.0

5.33.085.0204220

30765.04.085.02042

22065.04.02

2

21

3

≈++=

++×××

+×+××

×=

+++

=

π

π

mmCSER

Mt 81.38.3000034.05.33.085.0204220

87522

24 ≈+=++

×××=+=ππ


Nominal thickness (mm) 12.0 > tmin1, tmin2, t3, t4 OK




%5%70.2%5.22215.222

1250%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f


apply.






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 50 OF 152

temperature Sd (MPa) : 129.3


temperature

St (MPa)

:

165.3



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P



mmCPES

PRtd

o 59.36.265.04.013.129

5.1765.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

572.35.3002.007.0

5.3)10/1000745.181.9(4.013.165

5.1710/1000745.181.965.04.013.165

5.1765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 0.65.32.584.76.234.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 51 OF 152

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 2.77 + 2.6 = 5.02 mm





5-2-7 FOR NOZZLE V1 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

129.3


temperature

St (MPa)

:

165.3



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 52 OF 152


mmCPES

PRtd

o 63.35.365.04.013.129

2565.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

603.35.3003.01.0

5.3)10/1000752.181.9(4.013.165

2510/1000752.181.965.04.013.165

2565.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 0.65.32.584.76.234.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 2.87 + 2.6 = 5.12 mm










temperature

Sd (MPa)

:

129.3


temperature

St (MPa)

:

165.3


●Allowable stress of shell at design temperature Ss (MPa) :

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 53 OF 152

136




UW-12

:

Seamless







0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P



mmCPES

PRtd

o 57.35.365.04.013.129

5.1265.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

552.35.3002.005.0

5.3)10/100074.181.9(4.013.165

5.1210/100074.181.965.04.013.165

5.1265.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of shell (nozzle R.O) for par. UG-45 (b) (1), and UG-16 (b) (4),

Es = 1.00

mm 0.65.32.584.76.234.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 2.31 + 2.6 = 4.62 mm


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 54 OF 152




5-2-9 FOR NOZZLE Y1 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6

●Material of shell (nozzle H) : SA-106Gr.B


temperature

Ss (MPa)

:

125.3




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 8.35.365.04.013.125

15.5765.04.01min =+

×+××

=++

=


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 55 OF 152


mm

CHES

RHPES

PRtt

o

t

o

75.35.301.024.0

5.3)10/1000178.181.9(4.016.160

15.5710/1000178.181.965.04.016.160

15.5765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mmCPES

PRtss

ss 39.45.3

65.04.013.12517.17065.0

4.0=+

×+××

=++

= ＜ 2.5 + 3.5 =6.0 mm

ts = 6.0 mm


tp = 0.875tstd + C = 0.875 ×6.02 + 3.5 = 8.77 mm






5-2-10 FOR NOZZLE I ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6

●Material of shell (nozzle H) : SA-106Gr.B


temperature

Ss (MPa)

:

125.3



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 56 OF 152


UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 94.35.365.04.013.125

15.8465.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

86.35.301.035.0

5.3)10/1000205.181.9(4.016.160

15.8410/1000205.181.965.04.016.160

15.8465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mmCPES

PRtss

ss 39.45.3

65.04.013.12517.17065.0

4.0=+

×+××

=++

= ＜2.5 + 3.5 = 6.0 mm

ts = 6.0 mm


tp = 0.875tstd + C = 0.875 ×7.11 + 3.5 = 9.72 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 57 OF 152

5-2-11 FOR NOZZLE H ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless






5-2-11-a: for large section (OD. = 355.6 mm)


0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 43.45.365.04.013.125

8.17765.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 58 OF 152

mm

CHES

RHPES

PRtt

o

t

o

235.45.3015.072.0

5.3)10/1000298.181.9(4.016.160

8.17710/1000298.181.965.04.016.160

8.17765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.84 mm






5-2-11-b: for conical reducer (α=11.7°)

(1) Minimum required thickness of conical reducer for par. UG-45 (a)


Required minimum thickness including allowance (for the large end):

mmCPES

PDtd

45.45.3)65.06.013.125(7.11cos2

6.35565.0)6.0(cos21min =+

×−×××

=+−

=α

Required minimum thickness including allowance (for the small end):

mmCPES

PDtd

09.45.3)65.06.013.125(7.11cos2

1.21965.0)6.0(cos21min =+

×−×××

=+−

=α


Required minimum thickness including allowance (for the large end):

CHESDH

PESPDt

dd

+−

+−

=)]10/81.9(6.0[cos2

)10/81.9()6.0(cos2 6

6

2minρα

ρ

α

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 59 OF 152

5.3)]10/1000298.181.9(6.016.160[7.11cos2

6.35510/1000298.181.9)65.06.016.160(7.11cos2

6.35565.06

6

+×××−×

×××+

×−×××

=）（

= 0.74 + 0.015 + 3.5 = 4.255 mm

Required minimum thickness including allowance (for the small end):

CHESDH

PESPDt

dd

+−

+−

=)]10/81.9(6.0[cos2

)10/81.9()6.0(cos2 6

6

2minρα

ρ

α

5.3)]10/100023.181.9(6.016.160[7.11cos2

1.21910/100023.181.9)65.06.016.160(7.11cos2

1.21965.06

6

+×××−×

×××+

×−×××

=）（

= 0.46 + 0.01 + 3.5 = 3.97 mm


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.84 mm






5-2-11-c: for small section (OD. = 219.1 mm THK. =12.7 mm )


0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P



mmCPES

PRtd

o 07.45.365.04.013.125

55.10965.04.01min =+

×+××

=++

=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 60 OF 152

mm

CHES

RHPES

PRtt

o

t

o

959.35.3009.045.0

5.3)10/100023.181.9(4.016.160

55.10910/100023.181.965.04.016.160

55.10965.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ


mm 6.05.32.584.75.334.45.365.06.01136

5.90365.06.0

=+=+=+×−×

×=+

−= ＞mmC

PESPRtss

ss

ts = 7.84 mm


tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm






5-2-12 FOR NOZZLE D2 ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6

●Material of shell : SA-516M Gr.485


temperature

Ss (MPa)

:

136




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 61 OF 152

UW-12 : Seamless





●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807


0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P



mmCPES

PRtd

o 94.35.365.04.013.125

15.8465.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

853.35.3003.035.0

5.3)10/100042.081.9(4.016.160

15.8410/100042.081.965.04.016.160

15.8465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00

mm 0.65.32.583.75.333.45.365.02.011362

180765.02.02

=+=+=+×−××

×=+

−= ＞mmC

PESPDtss

s

ts = 7.83 mm


tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 62 OF 152

5-2-13 FOR ANNECTENT NOZZLE OF TANK AND

TOWER




●Material of nozzle neck : SA-516M Gr.485


temperature

Sd (MPa)

:

136


temperature

St (MPa)

:

174.6



temperature

Ss (MPa)

:

136




UW-12

:

Type No. (1)

●Radiographic examination : SPOT

Per UW-11(b)

●Joint efficiency (specified in UW-12) E : 0.85








0.385SE = 0.385× 136 ×0.85 = 44.506 > P



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 63 OF 152

mmCPES

PRtd

8.55.33.25.365.06.085.0136

4.40665.06.01min =+=+

×−××

=+−

=



mm

CHES

RHPES

PRttt

39.55.31.079.1

5.3)10/1000542.381.9(6.085.06.174

4.40610/1000542.381.965.06.085.06.174

4.40665.0

)10/81.9(6.0)10/81.9(

6.0

6

6

6

6

2min

=++=

+×××−×

×××+

×−××

=

+−

+−

=ρ

ρ


mm 0.65.32.583.75.333.45.365.02.011362

180765.02.02

=+=+=+×−××

×=+

−= ＞mmC

PESPDtss

s

ts = 7.83 mm


tp = 0.875tstd + C = 0.875 × 9.53 + 2.6 = 10.94 mm





(5) Maximum allowable fiber elongation without post weld heat treatment is based on the following


%5%1.2%4.39814.398

1650%150

0

<=⎟⎠⎞

⎜⎝⎛

∞−×

×=⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

RR

Rtr f

f


apply.

5-2-14 FOR NOZZLE OF STEAM SEPARATOR ASME SEC.Ⅷ DIV.1 UG-45





DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 64 OF 152

temperature Sd (MPa) : 125.3


temperature

St (MPa)

:

160.6



temperature

Ss (MPa)

:

136




UW-12

:

Seamless







0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P



mmCPES

PRtd

o 43.45.365.04.013.125

8.17765.04.01min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

224.45.3004.072.0

5.3)10/1000321.081.9(4.016.160

8.17710/1000321.081.965.04.016.160

8.17765.0

)10/81.9(4.0)10/81.9(

4.0

6

6

6

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00

mm 0.65.32.583.75.333.45.365.02.011362

180765.02.02

=+=+=+×−××

×=+

−= ＞mmC

PESPDtss

s

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 65 OF 152

ts = 7.83 mm


tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.8 mm






5-2-15 FOR NOZZLE G ASME SEC.Ⅷ DIV.1 UG-45





temperature

Sd (MPa)

:

125.3


temperature

St (MPa)

:

160.6

●Material of blind flange : SA-105M


temperature

Ss (MPa)

:

129.3




UW-12

:

Seamless





●Long span of cover measured perpendicular to short

span(corroded)

D (mm) : 535

● Factor C : 0.3

● Diameter, measured as indicated in Fig. UG-34 d ( mm ) : 425.3

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 66 OF 152

● Gasket moment arm,as shown in table 2-5-2 hG (mm) : 25.5

● Effective gasket sealing width b (mm) : 12.1


0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P



mmCPES

PRtd

o 74.35.365.04.013.125

45.4465.04.0 21min =+

×+××

=++

=



mm

CHES

RHPES

PRtt

o

t

o

69.35.30006.018.0

5.3)10/1000185.081.9(4.016.160

45.4410/1000185.081.965.04.016.160

45.4465.0

)10/81.9(4.0)10/81.9(

4.0

6

6

26

6

2min

=++=

+×××+××××

+×+×

×=

++

++

=ρ

ρ

(2) Minimum required thickness of covers for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00

(a) under operating condition UG-34(C)-(3) Appendix 2-5


W:total bolt load, given for circular heads for Formulas (4) 2-5 (e)

Wm1 = 0.785G2P + (2b×3.14GmP) = 0.785×425.32×0.65 + (2×12.1×3.14×425.3×1.25×0.65)

= 92294.1 + 26258.1 = 118552.2 N

23/9.1/ CSEdWhSECPdt Gsa ++=

= 5.33.42513.129/5.252.1185529.10.13.129/65.03.03.425 3 +××××+×××

= 19.5 + 3.5 = 23.0 mm＞ 2.5 + 3.5 = 6.0 mm

tsa = 23.0 mm

(b) under gasket seating condition UG-34(C)-(3) Appendix 2-5


W:total bolt load, given for circular heads for Formulas (5) 2-5 (e)

W = 2

)( abm SAA +

Am: Total required bolt aream, Am = max.(Am1, Am2)

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 67 OF 152

Am1 = Wm1/Sb = 118552.2/287 = 413.1 mm2

Am2 = Wm2/Sa

Wm2 = 3.14bGγ= 3.14×12.1×425.3×2.8 = 45244.8 N

Am2 = Wm2/Sa = 45244.8/287 = 157.7 mm2

Am = max.(Am1, Am2) = 413.1 mm2

Ab = 0.785 ndB2 =0.785×12×272 = 6867.18 mm2

W =2

)( abm SAA +=

2287)18.68671.413( ×+

= 1044720.18 N

23/9.1/ CSEdWhSECPdt Gsb ++=

= 5.33.42513.165/5.2518.10447209.10.13.165/03.03.425 3 +××××+×××

= 26.9 + 3.5 = 30.4 mm＞ 2.5 + 3.5 = 6.0 mm

tsb = 30.4 mm

ts: the larger of (tsa, tsb) = 30.4 mm2


tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 68 OF 152

6. Max. Allowable working pressure (corroded)

The maximum allowable working pressure may be assumed to be the same as the design pressure

when calculations are not made to determine the maximum allowable working pressure.

(ASME SEC.Ⅷ DIV.1 UG-99 notes: 34)

So we take the maximum allowable working pressure is 0.65 MPa at 300 ℃

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 69 OF 152

7. HYDROSTATIC TEST PRESSURE AND TEMPERATURE

ASME SEC. Ⅷ DIV.1 UG-99 AND

PED/97/23/EC ANNEX Ⅰ

●Maximum allowable working pressure (Hot & Corroded) * (MPa) : 0.65 at 300 ℃

●Hydrostatic test pressure (MPa) : 1.04


●Test temperature (℃) : 5～40

●Minimum design metal temperature (℃) : -29

●Material of parts of the vessel : See table 7.1

●Allowable stress of vessel wall at design temperature Sd (MPa) : See table 7.1

●Allowable stress of vessel wall at test temperature St (MPa) : See table 7.1

*: The maximum allowable working pressure may be assumed to be the same as the design pressure. (specified in UG-99 note34)

(1) Minimum required test pressure per PED/97/23/EC annex Ⅰ

Table 7.1 Hydrostatic Test Pressure per PED/97/23/EC annex Ⅰ

Shell Head Nozzle B Nozzle E Nozzle

A.C.D.F.G.H1-4.I1-2 Flange

Ps MAWP (MPa) 0.2

Material SA-516MGr.485 SA-516MGr.485 SA-105M SA-516MGr.485 SA-106Gr.B SA-105M

St(MPa) 174.6 174.6 165.3 174.6 160.6 165.3

Sd(MPa) 136 136 129.3 136 125.3 129.3

ratio of (St/Sd) 1.2839 1.2839 1.2785 1.2839 1.2818 1.2785

The lowest ratio of (St/Sd) 1.2785

PT1(MPa): 1.25×min(St/Sd)×Ps 1.04

PT2(MPa): 1.43×Ps 0.93

PT(MPa): Max(PT1 , PT2) 1.04

PHT(MPa): Min. Req.

Hydrostatic test 1.04

(2) Provided test pressure per UG-99 (h)

Hydrostatic test pressure (MPa) is 1.04 at 5~40℃

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 70 OF 152

8. REINFORCEMENT FOR OPENINGS


8-1-1 For manhole A1 (DN500) per UG-37

●Internal design pressure P (MPa) : 0.65


●Material of the vessel wall : SA-516MGr.485

●Allowable stress of the vessel wall at design temperature SV (MPa) : 136

●Material of the nozzle wall : SA-516MGr.485

●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 136


●Inside diameter of ellipsoidal head (corroded) D (mm) : 2805.2

●Analysis thickness of the vessel wall corroded t (mm) : 11.32

●Outside radius of the nozzle Rno(mm) : 254

●Inside radius of the nozzle corroded Rn (mm) : 244.6

●Analysis thickness of nozzle wall corroded tn (mm) : 9.6

●Finished diameter of opening corroded d (mm) : 489.2

●Leg length of outward nozzle fillet weld tnc (mm) : 9.0

●Angle of plane with longitudinal axis θ (deg) : 0.0

●Correction factor F : 1.0

●Material of the reinforcing pad : SA-516MGr.485

●Allowable stress of reinforcing pad at design temperature Sp (MPa) : 136

●Outside diameter of reinforcing pad Dp (mm) : 840

●Nominal thickness of reinforcing pad te (mm) 12

8-1-1-1 Size of opening

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 71 OF 152

Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933mm, and doesn’t

exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7.

Now, the diameter of opening is 489.2 mm, so supplemental rules of 1-7 are not applied.

8-1-1-2 Wall thicknesses Required ellipsoidal head Required thickness of a seamless shell tr (E=1.0)

mmPES

PDtd

r 71.665.02.00.11362

2.280565.02.02

=×−××

×=

−=

Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)

mmPES

PRtn

norn 22.1

65.04.0113625465.0

4.01

=×+×

×=

+=

8-1-1-3 Material Strength Reduction Factor

Strength reduction factor for nozzle fr1

fr1= Sn/SV= 136/136 = 1.0


fr2= Sn/SV = 136/136 = 1.0

Strength reduction factor for all parts fr3

fr3= (less of Sn or Sp)/SV = 136/136 = 1.0

Strength reduction factor for reinforcing pad fr4

fr4= Sp/SV = 136/136 = 1.0

8-1-1-4 Size of weld required [UW-16(d),Fig.UW-16.1 Sketch (q)]

8-1-1-4(a) Inner (reinforcing pad) fillet weld size of weld required UW-16(b)

tc = not less than the smaller of 1/4 in. or 0.7 tmin

tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined.

= min.( 19 , 13.92 , 12.0 ) = 12.0 mm

tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×12.0 = 6.0 mm

Weld 41, actual weld leg = 9.0 mm

tc (actual) = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm

8-1-1-4(b) Outer (reinforcing pad) fillet weld:

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 72 OF 152

Throat = 1/2 tmin= 0.5 × 12.0 = 6.0 mm ( minimum throat required )

Throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm (actual)

8-1-1-4(c) Upper groove weld:

tw = 0.7 tmin = 0.7 × 12.0 = 8.4 mm ( required )

tw = 12mm (actual)

The weld size used is satisfactory.

8-1-1-4(d) Check for limits of reinforcement:

8-1-1-4(d) (1) Limit parallel to the vessel wall:

larger of d = 489.2 mm or Rn + tn + t = 244.6 + 9.6 + 11.32 = 265.52 mm

Use 489.2 mm

8-1-1-4(d) (2 ) Limit normal to the vessel wall:

smaller of 2.5t = 2.5×11.32 =28.3 mm or 2.5tn+te = 2.5×9.4 + 12 = 35.5 mm

Use 28.3 mm

8-1-1-5 Area of reinforcement required [UG-37]

8-1-1-5(a) Area of reinforcement required

)0.11(0.171.64.920.171.62.489)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 3282.6 + 0 = 3282.6 mm2

8-1-1-5(b) Area available in shell A1

[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=

= 489.2×(1.0×11.32-1×6.71)-2×9.4×(1.0×11.32-1.0×6.71)×(1-1.0)

= 2255.2 – 0 = 2255.2 mm2

( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=

=2(11.32 + 9.4) × (1.0×11.32-1×6.71)-2×9.4× (1.0×11.32-1.0×6.71)×(1-1.0)

= 191 – 0 = 191 mm2

A1= the larger of (A11,A12)= 2255.2 mm2

8-1-1-5(c) Area available in nozzle projecting outward A2

( ) ( ) 2221 9.46232.110.122.14.955 mmtfttA rrnn =××−×=−=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 73 OF 152

( ) ( ) 2222 7.5800.1)124.95.2(22.14.92)5.2(2 mmfttttA renrnn =×+××−×=+−=

A2=the smaller of (A21, A22) = 462.9 mm2

8-1-1-5(d) Area available in welds A4

8-1-1-5(d)(1) Area available in outward weld A41

A41= (leg)^2 × fr3 = 9.0 × 9.0 × 1.0 = 81 Sq. mm

A42= (leg)^2 × fr4 = 9.0 × 9.0 × 1.0 = 81 Sq. mm

8-1-1-5(e) Area provided by:

A1 +A2 +A41 +A42 = 2255.2 + 462.9 + 81 +81 = 2880.1 Sq. mm

8-1-1-5(f) Area available in reinforcing pad:

A5 = (Dp-d-2tn) te fr4 =(840-489.2-2×9.4)×12×1.0

= 3984 Sq. mm

8-1-1-5(g) Total area available

A1 +A2 +A41 + A42 + A5 = 2918.1 + 3984 = 6864.1 Sq. mm This is greater than the required reinforcing area of 3282.6 sq. mm; therefore, the opening is

adequately reinforced.

8-1-1-6 Check the welds per UW-16 and UW-16.1 (q)

8-1-1-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)]

8-1-1-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 462.9 + 3984 + 81 + 81 ) × 136

= 626810.4 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 462.9+ 0 + 81 + 0 + 2 × 9.4 ×11.32 × 1.0 )× 136

= 102913.4 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2 tn t fr1) Sv

= ( 462.9+ 0 + 3984 + 81 + 81+ 0 + 2 × 9.4 ×11.32 × 1.0 )× 136

= 655753.3 N

8-1-1-6-1 (b) Per UG-41 (b) (2)

W= [A - A1 + 2tn fr1 (E1t – F tr )]Sv

= [3282.6 –2255.2 + 2× 9.4 × 1.0× (1.0 × 11.32 - 1.00× 6.71)] × 136

= 151513.2 N

Since W is smaller than W1-1 and W3-3, W may be used in place of W1-1 and W3-3 for comparing

weld capacity to weld load.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 74 OF 152

8-1-1-6-2 Unit Stresses per UG-45(c) and UW-15 (c)

8-1-1-6-2 (a) Fillet weld shear

= 0.49×136 = 66.64 Mpa

8-1-1-6-2 (b) Groove weld tension

= 0.74×136 = 100.64 Mpa

8-1-1-6-2 (c) Groove weld shear

= 0.6×136 = 81.6 Mpa

8-1-1-6-2 (d) Nozzle wall shear

= 0.7×136 = 95.2 Mpa

8-1-1-6-3 Strength of connection elements

8-1-1-6-3 (a) Upper fillet or cover weld

= π/2 × nozzle O.D. × weld leg × 66.64

= 1.57 × 508 × 9.0 × 66.64 = 478344.6 N

8-1-1-6-3 (b) Nozzle wall shear

= π/2 × mean nozzle diameter × tn × 95.2

= 1.57 × 496 × 9.4 × 95.2 = 696860.9 N

8-1-1-6-3 (c) Lower groove weld tension


= 1.57 × 508 × 9.0 × 100.64 = 722397.9 N

8-1-1-6-3 (d) Outer (reinforcing element) fillet weld

= π/2 × reinforcing pad O.D. × weld leg × 66.64

= 1.57 × 840 × 9.0 ×66.64 = 790963.5 N

8-1-1-6-3 (e) Upper groove weld tension


= 1.57 × 508 × 9.0 × 100.64 = 722397.9 N

8-1-1-6-4 Check Strength paths

Path 1-1 = 790963.5 + 696860.9 = 1487824.4 N ＞W1-1 = 626810.4 N OK

Path 2-2 = 478344.6 + 722397.9 + 722397.9 = 1923140.4 N＞W2-2 = 102913.4 N OK

Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N＞W3-3 = 655753.3 N OK

Also paths are stronger than the required strength of W of 151513.2 N [see UG-41 (b) (2)] thus, the

Weld Strength Paths Are Adequate.

8-1-2 For steam connect nozzle B and water connect nozzle Q (DN200) per UG-37


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 75 OF 152

(℃) ●Design temperature : 300



●Material of the nozzle wall : SA-106 Gr.B

●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 125.3


●Inside radius of shell corroded R (mm) : 1402.6


●Outside radius of the nozzle Rno(mm) : 109.55




●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0




Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t



8-1-2-2 Wall thicknesses Required

Shell Required thickness of a seamless shell tr (E=1.0)

mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 57.0

65.04.013.12555.10965.0

4.01

=×+×

×=

+=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 76 OF 152



fr1=Sn/SV= 125.3/136= 0.9214


fr2=Sn/SV = 125.3/136 = 0.9214

8-1-2-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)]

8-1-2-4(a) throat size of weld required UW-16(b)



= min.( 19 , 16.0, 12.7 ) = 12.7 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7×12.7 = 6.0 mm


tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory

8-1-2-4(b) Check for limits of reinforcement:

8-1-2-4(b) (1) Limit parallel to the vessel wall:


Use 98.9 mm

8-1-2-4(b) (2 ) Limit normal to the vessel wall:

smaller of 2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5×10.1 + 0 = 25.25 mm

Use 25.25 mm



)9213.01(0.173.61.1020.173.69.198)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1338.6 + 10.7 = 1349.3 mm2



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 77 OF 152

= 198.9×(1.0×13.4-1×6.73)-2×10.1×(1.0×13.4-1.0×6.73)×(1-0.9213)

= 1326.6 – 10.6 = 1316 mm2

( )( ) ( )( )122 rrnrn fFttEtFttEttA 11112 −−−−+=

=2(13.4 + 10.1) × (1.0×13.4-1×6.73)-2×10.1× (1.0×13.4-1.0×6.73)×(1-0.9213)

= 313.5 – 10.6 = 302.9 mm2

A1 = the larger of (A11,A12) = 1316 mm2


( ) ( ) 2221 3.5884.139213.057.01.1055 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.4431.109213.057.01.1055 mmtfttA nrrnn =××−×=−=




A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-2-5(e) Total area available

A1 +A2 +A41 = 1316 + 443.4 + 74.6 = 1834 Sq. mm This is greater than the required area so is a reinforcing element is not needed.

8-1-2-6 Strength calculations for attachment welds are not required for this detail which

conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]

8-1-3 For recycling nozzle C1-2 and reboiling nozzle M (DN80) per UG-37










DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 78 OF 152






●Leg length of inward nozzle fillet weld Weld leg (mm) : 12.0









mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 24.0

65.04.013.12545.4465.0

4.01

=×+×

×=

+=



fr1=Sn/SV=125.3/136 = 0.9213


fr2=Sn/SV =125.3/136 = 0.9213

8-1-3-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (i)]


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 79 OF 152

t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin


= min.( 19 , 16.0 , 11.13 ) = 11.13 mm

t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm

therefore throat must be at least 6.0 mm



t1 or t2 = 0.7 × weld size = 0.7 ×12.0 = 8.4 mm (actual)

check t1 + t2 ≥ 411 tmin = 13.9125 mm

t1 + t2 = 8.4 + 8.4 = 16.8 ＞411 tmin = 13.9125 mm

Cover weld satisfactory



larger of d= 71.84 mm or Rn + tn + t = 35.92 + 8.53 + 13.4 = 57.85 mm

Use 71.84 mm



Use 21.325 mm



)9213.01(0.173.653.820.173.684.71)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 483.5 + 9.1 = 492.6 mm2



= 71.84×(1×13.4-1×6.73)-2×8.53×(1×13.4-1.0×6.73)×(1-0.9213)

= 479.2 – 9.0 = 470.2 mm2


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 80 OF 152

=2(13.4 + 8.53) × (1×13.4-1×6.73)-2×8.53× (1×13.4-1.0×6.73) × (1-0.9213)

= 292.5 – 9.0 = 283.5 mm2

A1=the larger of (A11,A12)= 470.2 mm2


( ) ( ) 2221 7.5114.139213.024.053.855 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 7.32553.89213.024.053.855 mmtfttA nrrnn =××−×=−=

A2= the smaller of (A21, A22) = 325.7 mm2

8-1-3-5(d) Area available in nozzle projecting inward A3

Inner "h" limit: min[h, 2.5t , 2.5tn]= [345, 33.5 , 21.325] = 21.325 mm 2

231 5.5269213.053.84.1355 mmfttA rj =×××==

2232 1.3359213.053.853.855 mmfttA rjj =×××==

2233 9.8379213.053.8325.2155 mmfhtA rj =×××==

A3= the smaller of (A31, A32, A33 ) = 335.1 mm2

8-1-3-5(e) Area available in fillet welds A4

8-1-3-5(e)(1) Area available in outward fillet weld A41

A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm

8-1-3-5(e)(2) Area available in inward fillet weld A43

A43= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-3-5(f) Total area available

A1 +A2 +A3 +A41 +A43 = 470.2 + 325.7 + 335.1 + 132.6 + 132.6 = 1396.2 Sq. mm This is greater than the required area so is a reinforcing element is not needed.

8-1-3-6 Check the welds per UW-16 and UW-16.1 (i)


8-1-3-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 325.7 + 0 + 132.6 + 0) × 136

= 62328.8 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 325.7+ 335.1 + 132.6 + 132.6 +2 × 8.53 × 13.4 × 0.9213)× 136

= 154579.3 N

8-1-3-6-1 (b) Per UG-41 (b) (2)

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 81 OF 152

W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv

= [ 492.6 – 470.2 + 2× 8.53× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136

= 17303.9 N





= 0.49×125.3 = 61.4 Mpa


= 0.7×125.3 = 87.71 Mpa




= 1.57 × 88.9 × 12.0 ×61.4 = 102837.4 N

8-1-6-3 (b) Nozzle wall shear


= 1.57×77.77×8.53 × 87.71 = 91350.3 N


Path 1-1 = 102837.4 + 91350.3 = 194187.7 N

Path 2-2 = 102837.4 + 102837.4 = 205674.8 N

All paths are stronger than the required strength of W of 17303.9 N [see UG-41 (b) (2)]


8-1-4 For safety valve nozzle D1 and outfall nozzle N (DN150) per UG-37









DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 82 OF 152















mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 44.0

65.04.013.12515.8465.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 125.3/136= 0.9214


fr2=Sn/SV = 125.3/136 = 0.9214



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 83 OF 152



= min.( 19 , 16.0, 10.97 ) = 10.97 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 10.97 = 6.0 mm






Use 151.56 mm



Use 20.925 mm



)9213.01(0.173.637.820.173.656.151)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1020 + 8.9 = 1028.9 mm2



= 151.56×(1.0×13.4-1×6.73)-2×8.37×(1.0×13.4-1.0×6.73)×(1-0.9213)

= 1011 – 8.8 = 1002.2 mm2


=2(13.4 + 8.37) × (1.0×13.4-1×6.73)-2×8.37× (1.0×13.4-1.0×6.73)×(1-0.9213)

= 290.4 – 8.8 = 281.6 mm2

A1 = the larger of (A11,A12) = 1002.2 mm2


( ) ( ) 2221 5.4894.139213.044.037.855 mmtfttA rrnn =××−×=−=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 84 OF 152

( ) ( ) 2222 7.30537.89213.044.037.855 mmtfttA nrrnn =××−×=−=





A1 +A2 +A41 = 1002.2 + 305.7 + 74.6 = 1382.5 Sq. mm This is greater than the required area so is a reinforcing element is not needed.



8-1-5 For steam inlet nozzle K (DN200) per UG-37
















DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 85 OF 152









mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 57.0

65.04.013.12555.10965.0

4.01

=×+×

×=

+=



fr1=Sn/SV=125.3/136 = 0.9213


fr2=Sn/SV =125.3/136 = 0.9213





= min.( 19 , 16.0 , 12.7 ) = 12.7 mm

t1 or t2 ≥ min.( 6 , 0.7×12.7 ) = 6.0 mm




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 86 OF 152


check t1 + t2 ≥ 411 tmin = 15.875 mm

t1 + t2 = 8.4 + 8.4 = 16.8 ＞411 tmin = 15.875 mm





Use 198.9 mm



Use 25.25 mm



)9213.01(0.173.61.1020.173.69.198)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1338.6 + 10.7 = 1349.3 mm2



= 198.9×(1×13.4-1×6.73)-2×10.1×(1×13.4-1.0×6.73)×(1-0.9213)

= 1326.6 – 10.6 = 1316 mm2


=2(13.4 + 10.1) × (1×13.4-1×6.73)-2×10.1× (1×13.4-1.0×6.73) × (1-0.9213)

= 313.5 – 10.6 = 302.9 mm2

A1=the larger of (A11,A12)= 1316 mm2


( ) ( ) 2221 3.5884.139213.057.01.1055 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.4431.109213.057.01.1055 mmtfttA nrrnn =××−×=−=


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 87 OF 152



231 4.6239213.01.104.1355 mmfttA rj =×××==

2232 9.4699213.01.101.1055 mmfttA rjj =×××==

2233 8.11749213.01.1025.2555 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm



A1 +A2 +A3 +A41 +A43 = 1316 + 443.4 + 469.9 + 132.6 + 132.6 = 2494.5 Sq. mm This is greater than the required area so is a reinforcing element is not needed.



8-1-5-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 443.4 + 0 + 132.6 + 0) × 136

= 78336 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 443.4+ 469.9 + 132.6 + 132.6 +2 × 10.1 × 13.4 × 0.9213)× 136

= 194191.3 N

8-1-5-6-1 (b) Per UG-41 (b) (2)


= [ 1349.3 – 1316 + 2× 10.1× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136

= 21410.5 N





= 0.49×125.3 = 61.4 Mpa


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 88 OF 152

= 0.7×125.3 = 87.71 Mpa




= 1.57 × 219.1 × 12.0 ×61.4 = 253449.6 N



= 1.57×206.4×10.1 × 87.71 = 287064.7 N


Path 1-1 = 253449.6 + 287064.7 = 540514.3 N

Path 2-2 = 253449.6 + 253449.6 = 506899.2 N



8-1-6 For steam leaking from gate pole nozzle L (DN100) per UG-37















DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 89 OF 152










mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 3.0

65.04.013.12515.5765.0

4.01

=×+×

×=

+=



fr1=Sn/SV=125.3/136 = 0.9213


fr2=Sn/SV =125.3/136 = 0.9213





= min.( 19 , 16.0 , 11.13 ) = 11.13 mm

t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 90 OF 152



check t1 + t2 ≥ 411 tmin = 13.9125 mm

t1 + t2 = 8.4 + 8.4 = 16.8 ＞411 tmin = 13.9125 mm





Use 97.24 mm



Use 21.325 mm



)9213.01(0.173.653.820.173.624.97)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 654.5 + 9.1 = 663.6 mm2



= 97.24×(1×13.4-1×6.73)-2×8.53×(1×13.4-1.0×6.73)×(1-0.9213)

= 648.6 – 9.0 = 639.6 mm2


=2(13.4 + 8.53) × (1×13.4-1×6.73)-2×8.53× (1×13.4-1.0×6.73) × (1-0.9213)

= 292.5 – 9.0 = 283.5 mm2



( ) ( ) 2221 5084.139213.03.053.855 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.32353.89213.03.053.855 mmtfttA nrrnn =××−×=−=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 91 OF 152




231 5.5269213.053.84.1355 mmfttA rj =×××==

2232 1.3359213.053.853.855 mmfttA rjj =×××==

2233 9.8379213.053.8325.2155 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm






8-1-6-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 323.4 + 0 + 132.6 + 0) × 136

= 62016 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 323.4+ 335.1 + 132.6 + 132.6 +2 × 8.53 × 13.4 × 0.9213)× 136

= 154266.5 N

8-1-6-6-1 (b) Per UG-41 (b) (2)


= [ 663.6 – 639.6 + 2× 8.53× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136

= 17521.5 N





= 0.49×125.3 = 61.4 Mpa

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 92 OF 152


= 0.7×125.3 = 87.71 Mpa




= 1.57 × 114.3 × 12.0 ×61.4 = 132219.5 N



= 1.57×103.17×8.53 × 87.71 = 121185.6 N


Path 1-1 = 132219.5 + 121185.6 = 253405.1 N

Path 2-2 = 132219.5 + 132219.5 = 264439 N



8-1-7 For high level electric offlet nozzle S (DN100) per UG-37














DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 93 OF 152










mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 3.0

65.04.013.12515.5765.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 125.3/136= 0.9213


fr2=Sn/SV = 125.3/136 = 0.9213





= min.( 19 , 16.0, 11.13 ) = 11.13 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7×11.13 = 6.0 mm


tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 94 OF 152





Use 97.24 mm



Use 21.325 mm



)9213.01(0.173.653.820.173.624.97)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 654.5 + 9.1 = 663.6 mm2



= 97.24×(1.0×13.4-1×6.73)-2×8.53×(1.0×13.4-1.0×6.73)×(1-0.9213)

= 648.6 – 9.0 = 639.6 mm2


=2(13.4 + 8.53) × (1.0×13.4-1×6.73)-2×8.53× (1.0×13.4-1.0×6.73)×(1-0.9213)

= 292.5 – 9.0 = 283.5 mm2



( ) ( ) 2221 5084.139213.03.053.855 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.32353.89213.03.053.855 mmtfttA nrrnn =××−×=−=



8-4-5(d)(1) Area available in outward weld A41


A1 +A2 +A41 = 639.6 + 323.4 + 74.6 = 1037.6 Sq. mm

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 95 OF 152

This is greater than the required area so is a reinforcing element is not needed.



8-1-8 For water outlet nozzle O (R) (DN250) per UG-37






















DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 96 OF 152


mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 71.0

65.04.013.1255.13665.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 125.3/136= 0.9213


fr2=Sn/SV = 125.3/136 = 0.9213





= min.( 19 , 16.0, 12.7 ) = 12.7 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 12.7= 6.0 mm






Use 252.8 mm


smaller of 2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5× 10.1 + 0 = 25.25 mm

Use 25.25 mm


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 97 OF 152


)9213.01(0.173.61.1020.173.68.252)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1701.4 + 10.7 = 1712.1 mm2



= 252.8×(1.0×13.4-1×6.73)-2×10.1×(1.0×13.4-1.0×6.73)×(1-0.9213)

= 1686.2 – 10.6 = 1675.6 mm2

( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=

=2(13.4 + 10.1) × (1.0×13.4-1×6.73)-2×10.1× (1.0×13.4-1.0×6.73)×(1-0.9213)

= 313.5 – 10.6 = 302.9 mm2



( ) ( ) 2221 6.5794.139213.071.01.1055 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 8.4361.109213.071.01.1055 mmtfttA nrrnn =××−×=−=





A1 +A2 +A41 = 1675.6 + 436.8 + 74.6 = 2187 Sq. mm This is greater than the required area so is a reinforcing element is not needed.



8-1-9 For thermometer nozzle V2-3 (DN20)

Since the welded nozzles V2-3 (DN20) are neither subject to rapid fluctuations in pressure nor larger

than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)]

8-1-10 For pressure gauge nozzle W2 (DN15) per UG-37

Since the welded nozzles nozzle W2 (DN15) is neither subject to rapid fluctuations in pressure nor larger

than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)]

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 98 OF 152

8-1-11 For sampling water nozzle P1-2 (DN10) per UG-37

Since the welded nozzles nozzle P1-2 (DN10) are neither subject to rapid fluctuations in pressure nor

larger than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)]

8-1-12 For water level nozzle T1-2.U1-4.X1-2.Z1-2 (DN50) per UG-37















●Angle of plane with longitudinal axis θ (deg) : 90






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 99 OF 152



mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 16.0

65.04.013.12515.300.1

4.01

=×+×

×=

+=



fr1= Sn/SV= 125.3/136 = 0.9213


fr2= Sn/SV = 125.3/136 = 0.9213

8-1-12-4 Size of weld required [UW-16(b), Fig.UW-16.1 Sketch (e)]

8-1-12-4 (a) Outward nozzle fillet weld:



= min.( 19 , 16.0 , 8.74 ) = 8.74 mm

tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×8.74 = 6.0 mm


Weld throat = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm

The weld size is satisfactory .

8-1-12-4 (b) In plane 90 deg to longitudinal axis :

8-1-12-4 (b) (1) calculate the opening chord length at mid-surface of the required shell

thickness as follows:

Rm = R+tr/2= 1402.6 + 6.73/2 = 1405.965 mm

L= 1100 mm

α1= cos-1(Rm

RnL +) = cos-1(

965.140501.241100 +

) = 36.9 deg

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 100 OF 152

α2= cos-1(Rm

RnL −) = cos-1(

965.140501.241100 −

) = 40.1 deg

α=α2-α1=40.1-36.9= 3.2 deg

d = 2Rm )2/(cos1 2а− =2×1405.965× )2/2.3(cos1 2− =78.52 mm

Per UG-37(b) and Fig.UG-37, F=0.5

8-1-12-4(b) (2) Check for limits of reinforcement:

8-1-12-4 (b) (2-1) Limit parallel to the vessel wall (circumferentially):

larger of dc = 78.52 mm or Rnc + tn + t = 39.26 + 6.14 + 13.4 = 58.8 mm

Use 78.52 mm

8-1-12-4 (b) (2-2) Limit normal to the vessel wall:


Use 15.35 mm

8-1-12-5 Area of reinforcement required in plane 90 deg to longitudinal axis

)9213.01(5.073.614.625.073.652.78)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 264.3 + 3.3 = 267.6 mm2

8-1-12-6 Area of reinforcement available in plane 90 deg to longitudinal axis

8-1-12-6 (a) Area available in shell A1


= 78.52×(1×13.4-0.5×6.73)-2×6.14×(1×13.4-0.5×6.73)×(1-0.9213)

= 787.9 –9.7 = 778.2 mm2


=2(13.4 + 6.14) × (1×13.4-0.5×6.73)-2×6.14× (1×13.4-0.5×6.73)×(1-0.9213)

= 392.2 – 9.7 = 382.5 mm2


8-1-12-6 (b) Area available in nozzle A2

α3= cos-1(tR

RnL+−

) = cos-1(4.136.1402

01.241100+

−) = 40.5 deg

A2 = the smaller of the following

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 101 OF 152

By observation, A2 on the upper side of the nozzle is smaller than A2 on the lower side

of the nozzle. In accordance with UG-37(b), not less than half the required reinforcement

shall be on each side of the opening. Therefore,A2 on the lower side shall not be greater

than A2 on the upper side.

( ) ( ) 23221 3.5685.40sin/4.139213.016.014.65)sin(/5 mmtfttA rrnn =××−×=−= α

( ) ( ) 23222 4.2605.40sin/9213.014.616.014.65)sin(/5 mmftttA rnrnn =××−×=−= α

A2 = the smaller of (A21, A22) = 260.4 mm2

8-1-12-6(c) Area available in outward nozzle weld:

Since the welds vary from a fillet to a butt-type weld, and A41 will not be considered.

8-1-12-6 (d) Area provided by A1 + A2

= 778.2 + 260.4 = 1038.6 Sq. mm ＞ A= 267.6 Sq. mm

This is greater than the required reinforcing area of 267.6 sq. mm. Therefore, the opening is adequately reinforced in the plane considered.

8-4-7 Since the plane under consideration requires only 50% (F=0.5) of the required

reinforcement in the plane parallel to the longitudinal shell axis, the opening may not be

adequately reinforced in the other planes. A check for reinforcement in plane parallel to the

longitudinal shell axis is needed.

d = 48.02 mm F = 1.0

8-1-12-7 (a) Area of reinforcement required

)1(2 1rrnr fFttFdtA −+= = 48.02 × 6.73 ×1.0 + 2 × 6.14×6.73×1.0 × (1-0.9213)

= 323.2 + 6.6 = 329.8 mm2

8-1-12-7 (b) Area available in shell A1


= 48.02×(1×13.4-1×6.73)-2×6.14 ×(1×13.4-1.0×6.73)×(1-0.9213)

= 320.2 – 6.5 = 313.7 mm2


=2×(13.4+6.14) × (1×13.4-1×6.73)-2×6.14× (1×13.4-1.0×6.73)×(1-0.9213)

= 260.6 – 6.5 = 254.1 mm2

A1=the larger of (A11,A12) = 313.7 mm2

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 102 OF 152

8-1-12-7 (c) Area available in nozzle A2

( ) ( ) 2221 1.3694.139213.016.014.655 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 1.16914.69213.016.014.655 mmtfttA nrrnn =××−×=−=

A2 = the smaller of (A21, A22) =169.1 mm2

8-1-12-7 (d) Area available in outward nozzle weld A41:

A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-12-7 (e) Total area available

A1 +A2 +A41 = 313.7 + 169.1 + 74.6 = 557.4 Sq. mm This is greater than the required reinforcing area of 329.8 Sq. mm; therefore, opening is


8-1-13 For annectent nozzle of tank and tower (DN800) per UG-37











●Inside radius of the nozzle corroded Rn (mm) : 393


●Finished diameter of opening corroded d (mm) : 786



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 103 OF 152






Now, the diameter of opening is 786 mm, so supplemental rules of 1-7 are not applied.



mmPES

PRtV

r 73.665.06.01136

6.140265.06.0

=×−×

×=

−=


mmPES

PRtn

norn 88.1

65.04.0113639365.0

4.01

=×+×

×=

+=



fr1=Sn/SV=136/136 = 1.0


fr2=Sn/SV =136/136 = 1.0

8-1-13-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (i)]




= min.( 19 , 16.0 , 16.0 ) = 16.0 mm

t1 or t2 ≥ min.( 6 , 0.7×16.0 ) = 6.0 mm




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 104 OF 152


check t1 + t2 ≥ 411 tmin = 20.0 mm

t1 + t2 = 11.2 + 11.2 = 22.4 ＞411 tmin = 20.0 mm




larger of d= 786 mm or Rn + tn + t = 393 + 13.4 + 13.4 = 419.8 mm

Use 786 mm



Use 33.5 mm



)0.11(0.173.64.1320.173.6786)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 5289.78 + 0 = 5289.78 mm2



= 786×(1×13.4-1×6.73)-2×13.4×(1×13.4-1.0×6.73)×(1-1.0)

= 5242.62 – 0 = 5242.62 mm2


=2(13.4 + 13.4) × (1×13.4-1×6.73)-2×13.4× (1×13.4-1.0×6.73) × (1-1.0)

= 357.5 – 0 = 357.5 mm2



( ) ( ) 2221 84.7714.130.188.14.1355 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 84.7714.130.188.14.1355 mmtfttA nrrnn =××−×=−=


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 105 OF 152



231 8.8970.14.134.1355 mmfttA rj =×××==

2232 8.8970.14.134.1355 mmfttA rjj =×××==

2233 8.22370.14.135.3355 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 16.0 × 16.0 × 1.0 = 196 Sq. mm


A43= (leg)^2 × fr2 = 16.0 × 16.0 × 1.0 = 196 Sq. mm 8-1-13-5(f) Total area available

A1 +A2 +A3 +A41 +A43 = 5242.62 + 771.84 + 897.8 + 196 + 196 = 7304.26 Sq. mm This is greater than the required area so is a reinforcing element is not needed.



8-1-13-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 771.84 + 0 + 196 + 0) × 136

= 131626.2 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= (771.84+ 897.8 + 196 + 196 +2 × 13.4 × 13.4 × 1.0)× 136

= 329223.4 N

8-1-13-6-1 (b) Per UG-41 (b) (2)


= [5289.78 – 5242.62 + 2× 13.4× 1.0× (1.0 × 13.4 - 1.0 × 6.73)] *136

= 30725 N





= 0.49×136 = 66.64 Mpa


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 106 OF 152

= 0.7×136 = 95.2 Mpa




= 1.57 × 812.8 × 16.0 ×66.64 = 1360624.6 N



= 1.57×796.8×13.4 × 95.2 = 1595845 N


Path 1-1 = 1360624.6 + 1595845 = 2956469.6 N

Path 2-2 = 1360624.6 + 1360624.6 = 2721249.2 N

All paths are stronger than the required strength of W of 30725 N [see UG-41 (b) (2)]



8-2-1 For HP drain inlet nozzle E (DN100) per UG-37














DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 107 OF 152











mmPES

PRtV

r 34.465.06.01136

5.90365.06.0

=×−×

×=

−=


mmPES

PRtn

norn 3.0

65.04.013.12515.5765.0

4.01

=×+×

×=

+=



fr1=Sn/SV=125.3/136 = 0.9213


fr2=Sn/SV =125.3/136 = 0.9213





= min.( 19 , 12.0 , 11.13 ) = 11.13 mm

t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 108 OF 152





check t1 + t2 ≥ 411 tmin = 13.9 mm

t1 + t2 = 7.0 + 7.0 = 14.0 ＞411 tmin = 13.9 mm





Use 99.04 mm



Use 19.075 mm



)9213.01(0.134.463.720.134.404.99)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 429.9 + 5.3 = 435.2 mm2



= 99.04×(1×8.5-1×4.34)-2×7.63×(1×8.5-1.0×4.34)×(1-0.9213)

= 412 – 5.0 = 407 mm2


=2(8.5 + 7.63) × (1×8.5-1×4.34)-2×7.63× (1×8.5-1.0×4.34) × (1-0.9213)

= 106.8 – 5.0 = 101.8 mm2

A1=the larger of (A11,A12)= 407 mm2


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 109 OF 152

( ) ( ) 2221 2875.89213.03.063.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 6.25763.79213.03.063.755 mmtfttA nrrnn =××−×=−=




231 7.2989213.063.75.855 mmfttA rj =×××==

2232 1.2689213.063.763.755 mmfttA rjj =×××==

2233 4.6709213.063.7075.1955 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm



A1 +A2 +A3 +A41 +A43 = 407 + 257.6 + 268.1 + 92.1 + 92.1 = 1116.9 Sq. mm This is greater than the required area so is a reinforcing element is not needed.



8-2-1-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 257.6 + 0 + 92.1 + 0) × 136

= 47559.2 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 257.6+ 268.1 + 92.1 + 92.1 +2 × 7.63 × 8.5 × 0.9213)× 136

= 112798.6 N

8-2-1-6-1 (b) Per UG-41 (b) (2)


= [ 435.2 – 407 + 2× 7.63× 0.9213× (1.0 × 8.5 - 1.0 × 4.34)] *136

= 11789 N



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 110 OF 152



= 0.49×125.3 = 61.4 Mpa


= 0.7×125.3 = 87.71 Mpa




= 1.57 × 114.3 × 10.0 ×61.4 = 110182.9 N



= 1.57×103.17×8.53 × 87.71 = 121185.6 N


Path 1-1 = 110182.9 + 121185.6 = 231368.5 N

Path 2-2 = 110182.9 + 110182.9 = 220365.8 N



8-2-2 For water inlet from slag-cooler Y2 and secondary steam inlet nozzle J (DN80) per UG-37












DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 111 OF 152












mmPES

PRtV

r 34.465.06.01136

5.90365.06.0

=×−×

×=

−=


mmPES

PRtn

norn 24.0

65.04.013.12545.4465.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 125.3/136= 0.9213


fr2=Sn/SV = 125.3/136 = 0.9213

8-2-2-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (c)]




= min.( 19 , 12.0, 11.13 ) = 11.13 mm

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 112 OF 152







Use 73.64 mm



Use 19.075 mm



)9213.01(0.134.463.720.134.464.73)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 319.6 + 5.3 = 324.9 mm2



= 73.64×(1.0×8.5-1×4.34)-2×7.63×(1.0×8.5-1.0×4.34)×(1-0.9213)

= 306.3 – 5.0 = 301.3 mm2


=2(8.5 + 7.63) × (1.0×8.5-1×4.34)-2×7.63× (1.0×8.5-1.0×4.34)×(1-0.9213)

= 134.2 – 5.0 = 129.2 mm2



( ) ( ) 2221 3.2895.89213.024.063.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 7.25963.79213.024.063.755 mmtfttA nrrnn =××−×=−=



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 113 OF 152





conforms with Fig. UW-16.1 sketch (c) [see UW-15(b)]

8-2-3 For check-up nozzle F (DN150) per UG-37



















DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 114 OF 152





mmPES

PRtV

r 34.465.06.01136

5.90365.06.0

=×−×

×=

−=


mmPES

PRtn

norn 44.0

65.04.013.12515.8465.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 125.3/136= 0.9213


fr2=Sn/SV = 125.3/136 = 0.9213





= min.( 19 , 12.0, 10.97 ) = 10.97 mm







Use 153.36 mm

8-2-3-4(b) (2) Limit normal to the vessel wall:

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 115 OF 152


Use 18.675 mm



)9213.01(0.134.447.720.134.436.153)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 665.6 + 5.2 = 670.8 mm2



= 153.36×(1.0×8.5-1×4.34)-2×7.47×(1.0×8.5-1.0×4.34)×(1-0.9213)

= 638 – 4.9 = 633.1 mm2


=2(8.5 + 7.47) × (1.0×8.5-1×4.34)-2×7.47× (1.0×8.5-1.0×4.34)×(1-0.9213)

= 132.9 – 4.9 = 128 mm2



( ) ( ) 2221 2.2755.89213.044.047.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 9.24147.79213.044.047.755 mmtfttA nrrnn =××−×=−=








8-2-4 For feed water inlet nozzle H (large end of conical reducer) (DN350) per UG-37



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 116 OF 152





















mmPES

PRtV

r 34.465.06.01136

5.90365.06.0

=×−×

×=

−=


mmPES

PRtn

norn 93.0

65.04.013.1258.17765.0

4.01

=×+×

×=

+=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 117 OF 152



fr1=Sn/SV= 125.3/136= 0.9213


fr2=Sn/SV = 125.3/136 = 0.9213





= min.( 19 , 12.0, 11.13 ) = 11.13 mm







Use 340.34 mm



Use 19.075 mm



)9213.01(0.134.463.720.134.434.340)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1477.1 + 5.3 = 1482.4 mm2



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 118 OF 152

= 340.34×(1.0×8.5-1×4.34)-2×7.63×(1.0×8.5-1.0×4.34)×(1-0.9213)

= 1415.9 – 5.0 = 1410.9 mm2


=2(8.5 + 7.63) × (1.0×8.5-1×4.34)-2×7.63× (1.0×8.5-1.0×4.34)×(1-0.9213)

= 134.2 – 5.0 = 129.2 mm2



( ) ( ) 2221 3.2625.89213.093.063.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.23563.79213.093.063.755 mmtfttA nrrnn =××−×=−=








8-2-5 For manhole nozzle A2 (DN450) per UG-37










DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 119 OF 152


●Inside radius of the nozzle corroded Rn (mm) : 220


●Finished diameter of opening corroded d (mm) : 440







Now, the diameter of opening is 440 mm, so supplemental rules of 1-7 are not applied.



mmPES

PRtV

r 34.465.06.01136

5.90365.06.0

=×−×

×=

−=


mmPES

PRtn

norn 1.1

65.04.011365.22865.0

4.01

=×+×

×=

+=



fr1=Sn/SV= 136/136= 1.0


fr2=Sn/SV = 136/136 = 1.0




DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 120 OF 152


= min.( 19 , 12.0 , 12.0 ) = 12.0 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×12.0 = 6.0 mm


tc (actual) = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm Cover weld satisfactory



larger of d= 440 mm or Rn + tn + t = 220 + 8.5 + 8.5 = 237 mm

Use 440 mm


smaller of 2.5t =2.5×8.5=21.25 mm or 2.5tn+te = 2.5×8.5 + 0 = 21.25 mm

Use 21.25 mm



)0.11(0.134.45.820.134.4440)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1909.6 mm2



=440×(1×8.5-1×4.34)-2×8.5 ×(1×8.5-1.0×4.34)×(1-1.0)

= 1830.4 mm2


=2(8.5+8.5) × (1×8.5-1×4.34)-2×8.5× (1×8.5-1.0×4.34)×(1-1.0)

= 141.44 mm2



( ) ( ) 2221 5.3145.80.11.15.855 mmtfttA rrnn =××−×=−=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 121 OF 152

( ) ( ) 2222 5.3145.80.11.15.855 mmtfttA nrrnn =××−×=−=








8-2-6 For thermometer nozzle V1 (DN20) per UG-37

Since the welded nozzles nozzle V1 (DN20) is neither subject to rapid fluctuations in pressure nor


8-2-7 For pressure gauge nozzle W1 (DN15) per UG-37

Since the welded nozzles nozzle W1 (DN15) is neither subject to rapid fluctuations in pressure nor


8-2-8 For pressure signal nozzle W3 (DN10) per UG-37

Since the welded nozzles nozzle W3 (DN10) is neither subject to rapid fluctuations in pressure nor


8-2-9 For steam separator nozzle (DN350) per UG-37







DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 122 OF 152

















mmPES

PDtd

r 33.465.02.00.11362

180765.02.02

=×−××

×=

−=


mmPES

PRtn

norn 93.0

65.04.013.1258.17765.0

4.01

=×+×

×=

+=



fr1= Sn/SV=125.3/136=0.9213

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 123 OF 152


fr2= Sn/SV =125.31/136=0.9213





= min.( 19 , 10.44 , 11.13 ) = 10.44 mm

t1 or t2 ≥ min.( 6 , 0.7×10.44 ) = 6.0 mm





check t1 + t2 ≥ 411 tmin = 13.05 mm

t1 + t2 = 7.0 + 7.0 = 14.0 ＞411 tmin = 13.05 mm




Use 340.34 mm


smaller of 2.5t=2.5×6.94 =17.35 mm or 2.5tn+te = 2.5×7.63 + 0 = 19.075 mm

Use 17.35 mm



)9213.01(0.133.463.720.133.434.340)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 1473.7 + 5.3 = 1479 mm2



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 124 OF 152

= 340.34×(1×6.94-1×4.33)-2×7.63×(1×6.94-1.0×4.33)×(1-0.9213)

= 888.3-3.1 = 885.2 mm2


=2(6.94+7.63) × (1×6.94-1×4.33)-2×7.63× (1×6.94-1.0×4.33)×(1-0.9213)

= 76.1 – 3.1 = 73 mm2



( ) ( ) 2221 2.21494.69213.093.063.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 5.23563.79213.093.063.755 mmtfttA nrrnn =××−×=−=

A2=the smaller of (A21, A22) =214.2 mm2



231 9.2439213.063.794.655 mmfttA rj =×××==

2232 1.2689213.063.763.755 mmfttA rjj =×××==

2233 8.6099213.063.735.1755 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm






8-2-9-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 214.2 + 0 + 92.1 + 0) × 136

= 41656.8 N

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 125 OF 152

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 214.2+ 243.9 + 92.1 + 92.1 +2 × 7.63 × 6.94 × 0.9213)× 136

= 100622.3 N

8-2-9-6-1 (b) Per UG-41 (b) (2)


= [1479 – 885.2 + 2× 7.63× 0.9213× (1.0 × 6.94 - 1.0 × 4.33)] *136

= 85747 N

Since W is smaller than W2-2, W may be used in place of W2-2 for comparing weld capacity to

weld load.



= 0.49×125.3 = 61.4 Mpa


= 0.7×125.3 = 87.71 Mpa




= 1.57 × 355.6 × 10.0 ×61.4 = 342791.3 N



= 1.57×344.47×7.63 × 87.71 = 361930 N


Path 1-1 = 342791.3 + 361930 = 704721.3 N

Path 2-2 = 342791.3 + 342791.23 = 685582.6 N



8-2-10 For annectent nozzle of tank and tower (DN800) per UG-37






DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 126 OF 152












●Material of the reinforcing pad : SA-516MGr.485

●Allowable stress of reinforcing pad at design temperature Sp (MPa) : 136

●Outside diameter of reinforcing pad Dp (mm) : 1200

●Nominal thickness of reinforcing pad te (mm) 12


Since ID is 1800 mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t

exceed 1000 mm, therefore, 1000 mm is maximum limit without considering supplemental rules of 1-7.



mmPES

PDtd

r 33.465.02.00.11362

180765.02.02

=×−××

×=

−=


DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 127 OF 152

mmPES

PRtn

norn 94.1

65.04.011364.40665.0

4.01

=×+×

×=

+=



fr1= Sn/SV= 136/136 = 1.0


fr2= Sn/SV = 136/136 = 1.0

Strength reduction factor for all parts fr3

fr3= (less of Sn or Sp)/SV = 136/136 = 1.0

Strength reduction factor for reinforcing pad fr4

fr4= Sp/SV = 136/136 = 1.0

8-2-10-4 Size of weld required [UW-16(d),Fig.UW-16.1 Sketch (q)]

8-1-1-4(a) Inner (reinforcing pad) fillet weld size of weld required UW-16(b)



= min.( 19 , 10.44 , 16.0 ) = 10.44 mm

tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7× 10.44 = 6.0 mm


tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm

8-2-10-4(b) Outer (reinforcing pad) fillet weld:

Throat = 1/2 tmin= 0.5 ×10.44 = 5.22 mm ( minimum throat required )

Throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm (actual)

8-2-10-4(c) Upper groove weld:

tw = 0.7 tmin = 0.7 ×10.44 = 7.308 mm ( required )

tw = 10.44 mm (actual)

The weld size used is satisfactory.

8-2-10-4(d) Check for limits of reinforcement:

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 128 OF 152

8-2-10-4(d) (1) Limit parallel to the vessel wall:


Use 787.8 mm

8-2-10-4(d) (2 ) Limit normal to the vessel wall:


Use 17.35 mm



)0.11(0.133.45.1220.133.48.787)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 3411.2 + 0 = 3411.2 mm2



= 787.8×(1.0×6.94-1×4.33)-2×12.5×(1.0×6.94-1.0×4.33)×(1-1.0)

= 2056.1 – 0 = 2056.1 mm2


=2(6.94 + 12.5) × (1.0×6.94-1×4.33)-2×12.5× (1.0×6.94-1.0×4.33)×(1-1.0)

= 101.5 – 0 = 101.5 mm2



( ) ( ) 2221 4.36694.60.194.15.1255 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 4.9130.1)125.125.2(94.15.122)5.2(2 mmfttttA renrnn =×+××−×=+−=




A41= (leg)^2 × fr3 = 9.0 × 9.0 × 1.0 = 81.0 Sq. mm

A42= (leg)^2 × fr4 = 9.0 × 9.0 × 1.0 = 81 Sq. mm

8-2-10-5(e) Area provided by:

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 129 OF 152

A1 +A2 +A41 +A42 = 2056.1 + 366.4 + 81 +81 = 2584.5 Sq. mm

8-2-10-5(f) Area available in reinforcing pad:

A5 = (Dp-d-2tn) te fr4 = (1200-787.8-2×12.5)×12×1.0

= 4646.4 Sq. mm

8-2-10-5(g) Total area available

A1 +A2 +A41 + A42 + A5 = 2584.5 + 4646.4 = 7230.9 Sq. mm This is greater than the required reinforcing area of 3411.2 sq. mm; therefore, the opening is


8-2-10-6 Check the welds per UW-16 and UW-16.1 (q)


8-2-10-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= (366.4 + 4646.4 + 81 +81 ) × 136

= 703772.8 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= (366.4+ 0 + 81 + 0 + 2 × 6.94 ×12.5 × 1.0 )× 136

= 84442.4 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2 tn t fr1) Sv

= (366.4+ 0 + 4646.4 + 81 + 81+ 0 + 2 × 6.94 ×12.5 × 1.0 )× 136

= 727368.8 N

8-2-10-6-1 (b) Per UG-41 (b) (2)

W= [A - A1 + 2tn fr1 (E1t – F tr )]Sv

= [3411.2 –2056.1 + 2× 12.5 × 1.0× (1.0 × 6.94 - 1.00× 4.33)] × 136

= 193167.6 N





= 0.49×136 = 66.64 Mpa

8-2-10-6-2 (b) Groove weld tension

= 0.74×136 = 100.64 Mpa

8-2-10-6-2 (c) Groove weld shear

= 0.6×136 = 81.6 Mpa

8-2-10-6-2 (d) Nozzle wall shear

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 130 OF 152

= 0.7×136 = 95.2 Mpa


8-2-10-6-3 (a) Upper fillet or cover weld


= 1.57 × 508 ×9.0 × 66.64 = 478344.6 N



= 1.57 × 496 × 9.4 × 95.2 = 696860.9 N

8-2-10-6-3 (c) Lower groove weld tension


= 1.57 × 508 ×9.0 × 100.64 = 722397.9 N

8-2-10-6-3 (d) Outer (reinforcing element) fillet weld

= π/2 × reinforcing pad O.D. × weld leg × 66.64

= 1.57 × 840 ×9.0 ×66.64 = 790963.5 N

8-1-1-6-3 (e) Upper groove weld tension


= 1.57 × 508 × 9.0 × 100.64 = 722397.9 N


Path 1-1 = 790963.5 + 696860.9 = 1487824.4 N ＞W1-1 = 626810.4 N OK

Path 2-2 = 478344.6 + 722397.9 + 722397.9 = 1923140.4 N＞W2-2 = 102913.4 N OK

Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N＞W3-3 = 655753.3 N OK

Also paths are stronger than the required strength of W of 151513.2 N [see UG-41 (b) (2)] thus, the


8-2-11 For safety valve nozzle B (DN150) per UG-37








DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 131 OF 152








●Angle of plane with longitudinal axis θ (deg) : 90



Since ID is 1800 mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t

exceed 1000 mm, therefore, 1000 mm is maximum limit without considering supplemental rules of 1-7.



ellipsoidal head Required thickness of a seamless shell tr (E=1.0)

mmPES

PDtd

r 33.465.02.00.11362

180765.02.02

=×−××

×=

−=


mmPES

PRtn

norn 44.0

65.04.013.12515.8465.0

4.01

=×+×

×=

+=



fr1= Sn/SV= 125.3/136 = 0.9213


fr2= Sn/SV = 125.3/136 = 0.9213

8-2-11-4 Size of weld required [UW-16(b), Fig.UW-16.1 Sketch (e)]

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 132 OF 152




= min.( 19 , 10.44 , 10.97 ) = 10.44 mm

tc (mininum) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×10.44 = 6.0 mm


Weld throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm ＞6.0 mm

The weld size is satisfactory.

8-2-11-4 (b) In plane 90 deg to longitudinal axis :

8-2-11-4 (b) (1) calculate the opening chord length at mid-surface of the required shell

thickness as follows:

Rm = R+tr/2= 903.5+4.33/2 = 905.665 mm

L= 500 mm

α1= cos-1(Rm

RnL +) = cos-1(

665.90568.76500 +

) = 50.5 deg

α2= cos-1(Rm

RnL −) = cos-1(

665.90568.76500 −

) = 62.1 deg

α=α2-α1= 62.1- 50.5 = 11.6 deg

d = 2Rm )2/(cos1 2 α− =2×905.665× )2/6.11(cos1 2− =183.1 mm

Per UG-37(b) and Fig.UG-37, F=0.5

8-2-11-4(b) (2) Check for limits of reinforcement:

8-2-11-4 (b) (2-1) Limit parallel to the vessel wall (circumferentially):

larger of dc = 183.1 mm or Rnc + tn + t = 91.55 + 7.47 + 6.94 = 105.96 mm

Use 183.1 mm

8-2-11-4 (b) (2-2) Limit normal to the vessel wall:


Use 17.35 mm

8-2-11-5 Area of reinforcement required in plane 90 deg to longitudinal axis

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 133 OF 152

)9213.01(5.033.447.725.033.41.183)1(2 1 −××××+××=−+= rrnr fFttFdtA

= 396.5 + 2.6 = 399.1 mm2

8-2-11-6 Area of reinforcement available in plane 90 deg to longitudinal axis

8-2-11-6 (a) Area available in shell A1


= 183.1×(1×6.94-0.5×4.33)-2×7.47×(1×6.94-0.5×4.33)×(1-0.9213)

= 477.9 – 3.1 = 474.8 mm2


=2(6.94 + 7.47) × (1×6.94-0.5×4.33)-2×7.47× (1×6.94-0.5×4.33)×(1-0.9213)

= 137.6 – 3.1 = 134.5 mm2


8-2-11-6 (b) Area available in nozzle A2

α3= cos-1(tR

RnL+−

) = cos-1(94.65.90368.76500

+−

) = 62.3 deg

A2 = the smaller of the following

By observation, A2 on the upper side of the nozzle is smaller than A2 on the lower side

of the nozzle. In accordance with UG-37(b), not less than half the required reinforcement

shall be on each side of the opening. Therefore, A2 on the lower side shall not be greater

than A2 on the upper side.

( ) ( ) 23221 8.2533.62sin/94.69213.044.047.75)sin(/5 mmtfttA rrnn =××−×=−= α

( ) ( ) 23222 2.2733.62sin/9213.047.744.047.75)sin(/5 mmftttA rnrnn =××−×=−= α

A2 = the smaller of (A21, A22) = 253.8 mm2

8-2-11-6(c) Area available in outward nozzle weld:

Since the welds vary from a fillet to a butt-type weld, and A41 will not be considered.

8-2-11-6 (d) Area provided by A1 + A2

= 474.8 + 253.8 = 728.6 Sq. mm ＞ A= 399.1 Sq. mm

This is greater than the required reinforcing area of 399.1 sq. mm. Therefore, the opening is adequately reinforced in the plane considered.

8-2-11-7 Since the plane under consideration requires only 50% (F=0.5) of the required

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 134 OF 152

reinforcement in the plane parallel to the longitudinal shell axis, the opening may not be

adequately reinforced in the other planes. A check for reinforcement in plane parallel to the

longitudinal shell axis is needed.

d = 153.36 mm F = 1.0

8-2-11-7 (a) Area of reinforcement required

)1(2 1rrnr fFttFdtA −+= = 153.36 ×4.33 ×1.0 + 2 ×7.47×4.33×1.0 × (1-0.9213)

= 664.1 + 5.1 = 669.2 mm2

8-2-11-7 (b) Area available in shell A1


= 153.36×(1×6.94-1×4.33)-2×7.47 ×(1×6.94-1.0×4.33)×(1-0.9213)

= 400.3 – 3.1 = 397.2 mm2


=2×(6.94+7.47) × (1×6.94-1×4.33)-2×7.47× (1×6.94-1.0×4.33)×(1-0.9213)

= 75.2 – 3.1 = 72.1 mm2

A1=the larger of (A11,A12) = 397.2 mm2

8-2-11-7 (c) Area available in nozzle A2

( ) ( ) 2221 7.22494.69213.044.047.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 9.24147.79213.044.047.755 mmtfttA nrrnn =××−×=−=

A2 = the smaller of (A21, A22) =224.7 mm2

8-2-11-7 (d) Area available in outward nozzle weld A41:

A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-2-11-7 (e) Total area available

A1 +A2 +A41 = 397.2 + 224.7 + 74.6 = 696.5 mm This is greater than the required reinforcing area of 669.2 Sq. mm; therefore, opening is


8-2-12 For exhaust nozzle G (DN80) per UG-39



●Material of the vessel wall (cover) : SA-105M

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 135 OF 152

● Allowable stress of the vessel wall (cover) at design

temperature

SV (MPa) : 129.3




● Diameter, measured as indicated in Fig. UG-34 dG ( mm ) : 425.3











Since ID is 350mm, according to UG-36(b) (1), one half the vessel diameter is 175 mm, and doesn’t

exceed 500mm, therefore, 500mm is maximum limit without considering supplemental rules of 1-7.Now,

the diameter of opening is 73.64 mm, so supplemental rules of 1-7 are not applied.


cover Required thickness of cover tr (E=1.0)

ts = 26.9 mm (calculated by 5-2-15)


mmPES

PRtn

norn 24.0

65.04.013.12545.4465.0

4.01

=×+×

×=

+=

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 136 OF 152



fr1=Sn/SV= 125.3/129.3 = 0.9691


fr2=Sn/SV = 125.3/129.3 = 0.9691




= min.( 19 , 33.4 , 11.13 ) = 11.13 mm

t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm





check t1 + t2 ≥ 411 tmin = 13.9125 mm

t1 + t2 = 7.0 + 7.0 = 14.0 ＞411 tmin = 13.9125 mm





Use 76.35 mm



Use 19.075 mm



)9691.01(63.79.269.2635.765.0)1(5.0 1 −××+××=−+= rrnr fttdtA

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 137 OF 152

= 1027 + 6.4 = 1033.4 mm2



= 76.35×(1.0×31.9-1×26.9)-2×7.63×(1.0×31.9-1.0×26.9)×(1-0.9691)

= 382.5 – 2.4 = 380.1 mm2


=2(31.9 + 7.63) × (1.0×31.9-1×26.9)-2×7.63× (1.0×31.9-1.0×26.9)×(1-0.9691)

= 395.3 – 2.4 = 392.9 mm2



( ) ( ) 2221 3.11429.319691.024.063.755 mmtfttA rrnn =××−×=−=

( ) ( ) 2222 2.27363.79691.024.063.755 mmtfttA nrrnn =××−×=−=




231 4.11799691.063.79.3155 mmfttA rj =×××==

2232 1.2829691.063.763.755 mmfttA rjj =×××==

2233 2.7059691.063.7075.1955 mmfhtA rj =×××==




A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9691 = 96.9 Sq. mm



A1 +A2 +A3 +A41 +A43 = 392.9 + 273.2 + 282.1 + 96.9 + 96.9 = 1142 Sq. mm This is greater than the req uired area of 1033.4 Sq. mm so is a reinforcing element is not

needed.



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 138 OF 152

8-2-12-6-1 (a) Per UG-41 (b) (1)

W1-1 = (A2 + A5 + A41 + A42) × Sv

= ( 273.2 + 0 + 96.9 + 0) × 129.3

= 47853.9 N

W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv

= ( 273.2+ 282.1 + 96.9 + 96.9 +2 × 7.63 × 31.9 × 0.9691)× 129.3

= 157856.2 N

8-2-12-6-1 (b) Per UG-41 (b) (2)


= [1033.4 – 392.9 + 2× 7.63× 0.9691× (1.0 × 31.9 - 1.0 × 26.9)] *129.3

= 92377.4 N

Since W is smaller than W2-2, W may be used in place of W2-2 for comparing weld capacity to

weld load.



= 0.49×125.3 = 61.4 Mpa


= 0.7×125.3 = 87.71 Mpa




= 1.57 × 88.9 × 10.0 ×61.4 = 85697.8 N



= 1.57×77.77×7.63× 87.71 = 81712 N


Path 1-1 = 85697.8 + 81712 = 167409.8 N

Path 2-2 = 85697.8 + 85697.8 = 171395.6 N



DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 139 OF 152

9. Pressure – temperature rating for flange and flange cover

(ASME B16.5 TABLE 2-1.1)

Part: nozzle A1 A2.D1-2.G..T1-2.U1-4.X1-2.Z1-2

Flange rating: class 150 pressure – temperature rating

Design condition

Flange material: SA-105M

Design pressure: 0.65 MPa

Design temperature: 300℃

Pressure – temperature rating of table 2-1.1

Material group 1.1

Materials Carbon Steel

Temp (℃) 200 250 300

Pressure (bar) 13.8 12.1 10.2

Therefore, Allowance Pressure:1.02MPa

(Design pressure)

0.65 MPa < 1.02 MPa …… OK.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 140 OF 152

10 CALCULATION OF LIFTING LUGS OF TOWER ( Appendix A of HG/T21574-2008)

Equipment empty mass: m= 4420 kg

Lifting plate of material: SA-516MGr.485

Backing strip of material: SA-516MGr.485

Lifting plate of thickness: S=16 mm

Backing strip of thickness: S= 10 mm

Allowable tensile stress: SA=136 MPa

Allowable shearing stress: τA = 95.2 MPa

Fillet welded joint factor: φa= 0.7

Dynamic load factor: k= 1.65

Lifting vertical load

FV=0.5×4420×9.81×1.65= 35773 N

Lifting transverse load

FH = FV×tan30°= 35773×tan30°= 20654 N

Lifting sling load

FL = FV/cos30°= 35773/cos30°= 41308 N

Lifting radial bend of moment

M = FH×L = 20654×80 = 1652320 N·mm

Lifting sling max. tensile stress

SL= FL/[S(2R-D)]= 41308/[16(2×60-50)]= 36.9 MPa

SL＜SA, It is safe.

Lifting sling max. shearing stress

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 141 OF 152

τL= SL= 36.9 MPa

τL＜τA , It is safe.

Area of fillet weld:

A = 2 (L×tan15°+R) S = 2× (80×tan15°+60) ×16 = 2606 mm2

Lifting plate weld tensile stress:

St= Fv/A = 35773/2606 = 13.8 MPa

Lifting plate weld shearing stress

τt= FH/A = 20654/2606 = 8.0 MPa

Lifting plate weld bend stress

Sab′=6M/S[2(Ltan15°+R)]2

= 6×1652320/{16[2×(80×tan15°+60)] 2}= 23.4 MPa

Compound stress

Sab= MPaSS tabt 5.400.84)4.238.13(4)( 2222 =×++=+′+ τ

Lifting plate weld allowable stress [τ]=0.7×SA= 95.2 MPa

Sab＜[τ] ,It is safe.

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 142 OF 152

11. check for strength and stability of the horizontal vessel with supplemental loading

(according to Appendix A of JB/T4731-2005)

11-1 Calculation for Support Reaction Force (due to Uniform Loading)

(1) Mass of Cylindrical Shell(between Two Tangents) m1=π(Di+δn)Lδnγe = 10311.5 ㎏

(2) Mass of Head(Curved Surface Portion) m2= 937.911 kg

δ

(3) Mass of Attachments (including platform) m3= 8000 ㎏

(4) Volume of Head Vh= 2.87351e+09 mm3

(5) Volume of Vessel V = 6.28888e+10 mm3

(6) Mass of Vesse Filled with Liquid:

Under Operating Condition, m4=Vγ= 51460.1 ㎏

Under Hydrostatic Test Condition, m4′=VγT= 62888.8 ㎏

(7) Total Mass:

Under Operating Condition: m = m1 + m2 + m3 + m4 + m5 = 71647.4 ㎏

Under Hydrostatic Test Condition: m′= m1 + m2 + m3 + m4′+ m5 = 83076.1 ㎏

(8) Uniform Load

Under Operating Condition: q=mg/(L+4hi/3)= 68.832 N/mm

Under Hydrostatic Test Condition: q′=m′g/(L+4hi/3)= 79.8116 N/mm

(9) Support Reaction Force due to Uniform Loading

Under Operating Condition: F′=mg/2= 351430.5 N

Under Hydrostatic Test Condition F″= m′g/2 =407488.3 N

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 143 OF 152

(10) Shearing Force at Support due to Uniform Loading

Under Operating Condition, V=F′((L-2A)/(L+4hi/3)= 240862.9 N

Under Hydrostatic Test Condition, V′=F″((L-2A)/(L+4hi/3)= 279283.8 N

11-2 Calculations for Radial Load and External Moment due to Accessory Equipments

(1) Structure size:

L= 7000mm; l1 = 3687 mm; H0 = 250 mm; a = 3500 mm; b = 3500 mm

Ri = 1400 mm ; δn = 16 mm ; di = 1800 mm; Si = 12mm; h = 1843.5 mm

(2) Radial Load

Mass of Cylindrical Shell and Head m1a′ + m2a′ = 1836 ㎏

Mass of Internals,Attachments and Insulation m3a′ + m5a′ = 3000 ㎏

Mass of Filled Water

Under Operating Condition: m4a′ = 6510 ㎏

Under Hydrostatic Testing Condition: m4a″ = 7160 ㎏

Mass of Attachment

Under Operating Condition, m a′= m1a′ + m2a′ + m3a′ + m4a′ + m5a′ = 11346 ㎏

under Hydrostatic Testing Condition

m a″ = m1a′ + m2a′ + m3a′ + m4a″+ m5a′ = 11996 ㎏

Weight Force Acted by Attachment

Under Operating Condition, W′= ma′g = 111304.26 N

Under Hydrostatic Testing Condition, W” = ma″g = 117680.76 N

W = max(W’, W”) =117680.76 N

(3) Calculation Condition without Seismic Load

(3)-1 Support Reaction(Concentrated Load)

Due to Weight Force FI=(b/l)W′ = 55652.13 N FII=(a/l)W′= 55652.13 N

FI″ =(b/l)W = 58840.38 N FII″=(a/l)W = 58840.38 N

Combination of Support Reaction

Combined Support Force FIo=F′+ FI = 407082.63 N FII

o=F′+ FII = 407082.63 N

FIo′=F″+ FI″ = 466328.68 N FII

o′=F″+ FII″ = 466328.68 N

FI=(b/l)W′= 55652.13 N FII=(a/l)W′= 55652.13 N

Maximum Shearing Force at Support

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 144 OF 152

)32(

34

2 AhhL

FF i

i

A ++

−= °Ⅰν = )1140700

32(

700349280

5.351430263.407082 +××+

×−

= 296515.1 N

)32(

34

2 AhhL

FF i

i

A ++

−= °Ⅱν = )1140700

32(

700349280

5.351430263.407082 +××+

×−

= 296515.1 N

(3)-2 Combined Moment due to Uniform and Concentrated Load

Bending Moment due to Uniform Load

At Acting Point K of Concentrated Load

Under Operating Condition

)]1(223

24

[222

laalAAhhRqM i

iaKq −+−−

−=

)]700035001(

270003500

211401140700

32

47001408[832.68

222

−×

+−××−−

×=

]6125000649800532000373116[832.68 +−−×=

=3.65933×108 N.mm

Under Hydrostatic Testing Condition:

)]1(223

24

[222

laalAAhhRqM i

iaKq −+−−

−= ′′

)]700035001(

270003500

211401140700

32

47001408[8116.79

222

−×

+−××−−

×=

]6125000649800532000373116[8116.79 +−−×=

=4.24304×108 N.mm

At Support

Under Operating Condition

]

341

21

1[

22

2

Lh

ALhR

LA

AFMi

ia

+

−+−

−−= ′

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 145 OF 152

= ]

9280370041

9280114027001408

928011401

1[11405.351430

22

××

+

××−

+−−××−

= -400630770×(1-100575.01

0705377.0122845.01+

+−)=-5.565214×107 N.mm

Under Hydrostatic Testing condition

]

341

21

1[

22

2

Lh

ALhR

LA

AFMi

ia

T

+

−+−

−−= ″′

= ]

9280370041

9280114027001408

928011401

1[11403.407488

22

××

+

××−

+−−××−

= -464536662×(1-100575.01

0705377.0122845.01+

+−)=-6.452939×107 N.mm

(4) Bending Moment due to Concentrated Load

(4)-1 due to Radial Force at Point K

Under Operating Condition:

8'' 1046926.126.1113049280

35003500×=×

×== W

LabM k N

Under Hydrostatic Testing Condition

810553437.176.1176809280

35003500×=×

×== ″″ W

LabM k N

(4)-2 Combined Bending Moment

At Acting Point K of Concentreated Load

Under Operating Condition:

MK = MKq + Mk′= 3.65933×108 + 1.46926×108 = 5.12859×108 N.mm

Under Hydrostatic Testing Condition:

MKT = M′Kq + Mk″= 4.24304×108 + 1.553437×108 = 5.796477×108 N.mm

(5) Calculation for Axial Stress of Cylindrical Shell

(5)-1 At Acting Point K of Concectrated Load,

di = 812.8 mm, Di = 2800 mm arcsinβ= 0.290285714, β= 16.875

K10=0.785 K11=0.89

under Operating Condition

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 146 OF 152

ea

k

e

ack RK

MRpδπδ

σ 210

1 2−= =

4.131408785.01012859.5

4.132140865.0

2

8

××××

−××

π

= 34.15 - 7.83 = 26.32 MPa

At Acting Point K of Concectrated Load underHydrostatic Testing Condition (Vessel under

Internal Pressure)

After water filling, if PT = 0

ea

kTkT RK

Mδπ

σ 210

1 −= =4.131408785.0

10796477.52

8

××××

−π

= -8.85 MPa

At Acting Point K of Concectrated Load under Operating Condition

ea

k

e

ack RK

MRpδπδ

σ 211

2 2+= =

4.13140889.01012859.5

4.132140865.0

2

8

××××

−××

π

= 34.15 + 6.91 = 41.06 MPa

At Acting Point K of Concectrated Load underHydrostatic Testing Condition(Vessel under

Outside Pressure)

ea

kT

e

aTkT RK

MRpδπδ

σ 211

2 2+= =

4.13140889.010796477.5

4.132140804.1

2

8

××××

−××

π

= 54.64 + 7.81 = 62.45 MPa

(5)-2 At Mid-Point C of Cylindrical Shell under Operating Condition:

x1 = Ahq

Fi −−

320

Ⅰ = 114070032

832.6863.407082

−×− = 4307.48

if x1＞ a =3500 then x2 = Ahq

Fi −−

320

Ⅱ = 114070032

832.6863.407082

−×− = 4307.48

if x2＞ b =3500 then Mm =0

x1T = Ahq

Fi −−

′′

320

Ⅰ = 114070032

8116.7968.466328

−×−　

= 4236.2

X2T = Ahq

Fi −−

′′

320

Ⅱ = 114070032

8116.7968.466328

−×−　

= 4236.2

MmT =0

(5)-3 When Mm = 0, there is no need to calculate σ1 and σ2

When Mm T= 0, there is no need to calculate σT1 and σT2 .

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 147 OF 152

At Mid-Point C of Cylindrical Shell under Operating Condition

ea

m

e

ac

RMRp

δπδσ 21 2

−= = 0

At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal

Pressure)

After water filling, if PT = 0

ea

mTT R

Mδπ

σ 21 −= = 0

At Mid-Point C of Cylindrical Shell under Operating Condition

ea

m

e

ac

RMRp

δπδσ 22 2

+= = 0

At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal

Pressure)

ea

mT

e

aTT R

MRpδπδ

σ 22 2+= = 0

(5)-4 Calculation Factors

A = 1140, Ra/2 = 704, θ = 120, K1= 1 K2 = 1

At Top Point of Central Section of Support

(a) under Operating Condition

eae

ac

RKMRp

δπδσ 2

1

23 2

−= = 4.1314081

10565214.54.132

140865.02

7

××××−

−××

π

= 34.15 + 0.67 = 34.82 MPa

(b) undet Hydrostatic Testing Conditiong

PT = 0

ea

TT RK

Mδπ

σ 21

23 −= =

4.131408110452939.6

2

7

××××−

−π

= 0.78 MPa

PT ≠ 0

ea

T

e

aTT RK

MRpδπδ

σ 21

23 2

−= = 4.1314081

10452939.64.132

140804.12

7

××××−

−××

π

= 54.64 + 0.78 = 55.42 MPa

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 148 OF 152

At Bottom Point of Central Section of Support

(a) under Operating Condition

eae

ac

RKMRp

δπδσ 2

2

24 2

+= = 4.1314081

10565214.54.132

140865.02

7

××××−

+××

π

= 34.15 - 0.67 = 33.48 MPa

(b) undet Hydrostatic Testing Conditiong

PT = 0

ea

TT RK

Mδπ

σ 22

24 = =

4.131408110452939.6

2

7

××××−

π= -0.78 MPa

PT ≠ 0

ea

T

e

aTT RK

MRpδπδ

σ 22

24 2

+= = 4.1314081

10452939.64.132

140804.12

7

××××−

+××

π

= 54.64 - 0.78 = 53.86 MPa

(5)-5 check for axial stress in cylindrical shell

(a) allowable compressive stress. see UG-23(b)

A = tRO /

125.0=

16/1416125.0

= 0.001412

E = 185×103 MPa

ET = 202×103 MPa

Under Operating Condition: B = 75 MPa (from Fig. CS-2)

Under Hydrostatic Testing Condition: B = 98 MPa (from Fig. CS-2)

Allowable Compresive Sress

[σ] t = min(σac t, B) = 75 MPa

[σ] = min(0.9Rac el, B) = min(0.9×204, 75) = 75 MPa

(b) Stress Checking

Maximum Axial Tensile Stress Under Operating Condition < φ[σ ]t = 115.6 MPa O.K

Maximum Axial Compressive Stress Under Operating Condition < [σ ]ac = 75 MPa O.K

Maximum Axial Tensile Stress Under Hydrostatic Test Condition < 0.9ReL = 183.6 MPa O.K

Maximum Axial Compressive Stress Under Hydrostatic Test Condition < [σ ]ac = 75 MPa O.K

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 149 OF 152

11-3 Calculation for Circumferential Shearing Stress

With Ra/2, A and θ, from table 6-2: K3 = 0.319 K4 = ， K0 = 1.2

A>Ra/2, Cylindrical Shell Not Stiffened by Head

(1) calculation for circumferential shearing stress in cylindrical shell:

F = 466328.68 N

=⎟⎟⎠

⎞⎜⎜⎝

⎛+−

=3/4

2

iea

3

hLAL

RFKδ

τ MPa41.53/70049280

1140292804.131408

68.466328319.0=⎟

⎠⎞

⎜⎝⎛

×+×−

××

(2) check for circumferential shearing stress

τ = 5.41 MPa ＜ 0.8 [σ ]t = 108.8 MPa OK.

11-4 circumferential stress in cylindrical shell at saddle support:

Effective Width of Cylindrical Shell

b2 = b+1.56 neaR δ = 378 +1.56 161408× = 612.146 mm

Cylindrical Shell With Stiffening Ring

Parameters of Stiffening Ring

e=66.5682 mm

d=112.532 mm

Number of Stiffening Rings, n = 1

Total Combined Sectional Area , A0= 9841.01 mm2

Total Moment of Innertia of Combined Section, I0 = 5.01192e+07 mm4

Allowable Stress at Design Temperature [σ ]t = 136 MPa

Stiifening Ring Located at Same Plane of Saddle Support

C4=-1 C5=1 K7=0.053 K8=0.341

Circumferential Stress of Cylindrical Shell at Side Corner of Saddle Suport：

σ7= -0

74

0

8

IeFRKC

AFK a+

= 71001192.55682.66140868.466328053.01

01.984168.466328341.0

×××××−

+×

−

= -16.17 - 46.25 = -62.42 MPa

Circumferential Stress of Inner or Outer Surface of Stiffening Ring at Side Corner of Saddle Support：

σ8= -0

75

0

8

IdFRKC

AFK a+

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 150 OF 152

= 71001192.5532.112140868.466328053.01

01.984168.466328341.0

×××××

+×

−

= -16.17 +78.14 = 61.97 MPa

Stress Identification

|σ7| < 170 MPa O.K [ ]125. σ t =

|σ8| < 170 MPa O.K [ ]125. σ t =R

11-5 Calculation for Saddle Support Stress:

(1) horizontal component and strength identification

(a) Horizontal component θ= 120deg; K9 = 0.204

FS=K9F = 95131.1 N horizontal

(b) horizontal stress in Web

Calculated Height HS=min(Rm/3, H0) = 250 mm

Thickness of Saddle Support Web b0 = 18 mm

Actual width of Saddle Support Backing Plate

b4= 620 b= 378 b2 = 612.146 mm

Effective Width of Saddle Support Backing Plate br= min(b4, b2) = 612.146 mm

Backing Plate Having Stiffening Action:

σ9= rers

s

bbHF

δ+0

= 12146.61218250

1.95131×+×

= 8.031 MPa

(c) stress identification

Stress Identification

σ9 < 32

[σ]sa = 32×81 = 54 MPa O.K

(2) compressive stress and strength identification

(a) compressive stress

FEV = α1mg = 0.24×71647.4×9.81 = 168686.7 N

Combined Sectional Area of Web and Small End of Rib Asa = 58872 mm2

Section Modulus of Combined Section of Web and Small End of Rib Zr = 1.88936×106 mm

3

σsa = -)2(2 ALA

HFZ

HFAF

sa

VEV

r

EV

sa −−−

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 151 OF 152

= )114029280(58872

16667.16868618893602

2507.16868658872702861

×−×

−×

×−−

= -11.94 –11.17- 0.69 = -23.8 MPa

|σsa| = 23.8 < Koσsa = 1.2 × 81 = 97.2 MPa OK

(b) stress due to thermal difference

σtsa = -

rsa ZFfH

AF

− = -1889360

2504.070286158872702861 ××

−

= -11.94 –37.21 = -49.15 MPa

|σtsa| = 49.15 <σsa = 81 MPa OK

DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 152 OF 152

12 Check for post-weld heat treatment

Material for shell and head is SA-516MGr.485

P-No. = 1 GR-No. =2

According to table UCS-56 (note 2) and UW-2(not lethal), the thickness of shell and heads (= 10

mm.) is less than 32mm. So no post weld heat treatment is needed.

13. Material characteristics requirement (according to PED/97/23/EC annex Ⅰ7.5)

Unless other values are required in accordance with other criteria that must be taken into account, a steel carried out by a standard procedure, its elongation after rupture is no less than 14% and its bending rupture energy measured on an ISO V test-piece is no less than 27J, at a temperature not greater than 20℃ ,but not higher than the lowest scheduled operating temperature.

Documents

Deaerator Design Calculation Report