ASME V111 Div2 APP 3 Flanges Stress Calculation in excel

INPUT DATA PROCESS CONDITIONS AMBIENT AMBIENT TEMPERATURE

PROCESS CONDITIONS DESIGN/OPERATING 20 (Deg F) DESIGN/OPERATING TEMPERATURE DESIGN/OPERATING PRESSURE

MATERIAL ALLOWABLE STRESSES AMBIENT

20 (Deg F)

12038 (psi)

MATERIAL ALLOWABLE STRESSES DESIGN

ALLOWABLE BOLT STRESS S a

87150 (psi)

ALLOWABLE BOLT STRESS S b

87150 (psi)

ALLOWABLE FLANGE STRESS S f (AMBIENT)

30000 (psi)

ALLOWABLE FLANGE STRESS S f (DESIGN)

30000 (psi)

ALLOWABLE HUB STRESS S n (AMBIENT)

30000 (psi)

ALLOWABLE HUB STRESS S n (DESIGN)

30000 (psi)

FLANGE DATA

GASKET DATA

FLANGE OD A

19.88 (IN)

FLANGE ID B

7.06 (IN)

BOLT CIRCLE DIAMETER C THICKNESS OF HUB AT SMALL END g o

16.88 (IN) 2.3 (IN)

GASKET LOAD REACTION DIA G GASKET JOINT SEALING FACTOR m

0.733 (IN)

GASKET DESIGN SEATING STRESS y

18000 (psi)

3.33 (IN)

BOLT DATA

HUB LENGTH h

3.62 (IN)

CROSS SECTION AREA OF BOLTS A b

FLANGE THICKNESS t

4.57 (IN)

NUMBER OF BOLTS

2.3 (IN)

5.5

GASKET WIDTH w

THICKNESS OF HUB AT BACK OF FLANGE g 1

NOMINAL THICKNESS OF ATTACHED PIPE t n

9 (IN)

ROOT AREA OF BOLT

2 22.784 (IN )

16 2 1.424 (IN )

RESULTS DATA FLANGE RESULTS DATA

BOLT RESULTS DATA

S H = LONGITUDINAL HUB STRESS

35181.7

S H < 1.5S f THEREFORE S H /1.5S f < 1

0.78182

S R = RADIAL STRESS

42227

S R < S f THEREFORE S R /S f < 1

1.40757

S T = TANGENTIAL STRESS

27759.5

S T < S f THEREFORE S T /S f < 1

0.92532

(psi)

(psi)

(psi)

A m = REQUIRED BOLT CROSS SECTION AREA

2 12.71726 (IN )

A m < A b THEREFORE Am/Ab < 1

0.558166

W = REQUIRED INITIAL TOTAL BOLT LOAD

1546967 (lb)

BOLT STRESS

67897.09 (psi)

NOMENCLATURE

FORMULA

METRIC

UNITS IMPERIAL

Outside Diameter of the Flange

505 (mm)

UNITS

A

=

19.88 (in)

Ab

=

15675.2 (mm2)

22.784 (in2)

Am

=

12289.6708 (mm2)

12.71725917 (in2)

A m1

=

W m1 / S b

12289.6708 (mm2)

12.71725917 (in2)

A m2

=

W m2 / S a

344.271562 (mm2)

0.534799828 (in2)

B

=

Inside Diameter Of Flange

156.3 (mm)

7.06 (in)

B1

=

B + g 1 or B + g o

214.7 (mm)

9.36 (in)

B1

=

B+go

214.7 (mm)

9.36 (in)

2.3275 (mm)

0.091625 (in)

b

=

bo

=

C

=

c

b=b o , when b o 1/4 in (6mm).

2.3275 (mm)

0.091625 (in)

426.974 (mm)

16.88 (in)

=

58.4 (mm)

2.3 (in)

d

=

3

d

=

d

=

Bolt Circle Diameter

(U/V) h o g o 2 (U/V L )h o g o

1835716.211 (mm )

136.9617504 (in3)

1835716.211 (mm3)

136.9617504 (in3)

2

(mm3)

#DIV/0!

-1

(in3)

#DIV/0!

0.008747392 (mm )

-1 0.207394969 (in )

-1 0.008747392 (mm )

-1 0.207394969 (in )

-1 0 (mm )

-1 0 (in )

e

=

e

=

F/h o

e

=

F L /h o

F

=

FL

=

f

=

G

=

go

=

58.4 (mm)

2.3 (in)

g1

=

75.184 (mm)

3.33 (in)

H

=

0.835727102

0.835727102

1

1

228.6 (mm)

0.785G 2 P (Total Hydrostatic Force) 2

9 (in)

5107.301076 (kN)

765436.23 (lb)

HD

=

0.785B P (Hydrostactic Force on Inside Area)

2387.574678 (kN)

471013.5466 (lb)

H G (Operating)

=

W - H (Load on the Gasket while operating)

2288.008325 (kN)

342872.9068 (lb)

H G (Gasket Seating)

=

W- H (Load on Gasket at installed conditions)

3306.629425 (kN)

781531.1384 (lb)

Hp

=

2b x 3.14 GmP (Compressive Load on Gasket to maintain a tight joint during operation)

2288.008325 (kN)

342872.9068 (lb)

HT

=

H-HD

2719.726398 (kN)

294422.6834 (lb)

h

=

Hub Length

92.202 (mm)

3.62 (in)

h D (Integral)

=

R + 0.5g 1

97.745 (mm)

3.245 (in)

hG

=

(C - G)/2

99.187 (mm)

3.94 (in)

95.54014863 (mm)

4.029640182 (in)

1/2

ho

=

(B g o )

h T (Integral)

=

(R + g 1 + h G )/2

K

=

A/B

3.230966091

2.815864023

L

=

((t e + 1) / T )+ (t 3 /d)

2.568823355

2.212926818

MD

=

HD hD

233.3734869 (kN.m)

1528438.959 (in.-lb)

MG

=

HG hG

226.9406818 (kN.m)

1350919.253 (in.-lb)

M o (Operating)

=

MD +MT +MG

779.2347255 (kN.m)

4182178.586 (in.-lb)

M o (Gasket Seating)

=

W(C - G)/2

834.5525246 (kN.m)

6095051.432 (in.-lb)

MT

=

HThT

318.9205569 (kN.m)

1302820.374 (in.-lb)

m

=

N

=

P

=

R

=

Sa Sb

117.262 (mm)

4.425 (in)

5.5 N/A

5.5 (mm) N/A

(in)

124500 (kPa)

12038 (psi)

60.153 (mm)

1.58 (in)

=

601750 (kPa)

87150 (psi)

=

601750 (kPa)

87150 (psi)

Sf

=

249750 (kPa)

30000 (psi)

Sn

=

249750 (kPa)

30000 (psi)

SH

=

f M o / Lg 1 2 B

367713.5223 (kPa)

35181.72703 (psi)

SR

=

(1.33te + 1)M o /Lt 2 B

362587.2863 (kPa)

42227.04342 (psi)

ST

=

(YM o /t 2 B) - ZS R

251319.2879 (kPa)

27759.47772 (psi)

1.173906651

1.284773699

((C - B)/2) - g 1

2

2

(K (1 + 8.55246log 10 K) - 1)/(1.04720 + 1.9448K )(K - 1)

T

=

t

=

116.078 (mm)

4.57 (in)

tn

=

58.4 (mm)

2.3 (in)

tx

=

116.8 (mm)

4.6 (in)

for intgral flanges = 2 x g o but not less than 1/4 in. 2

2

(K (1 + 8.55246log 10 K) - 1)/1.36136(K - 1)(K - 1)

U

=

V

=

VL

=

W

=

W (Operating)

=

W=W m1

W (Gasket Seating)

=

W= (A m + A b )S a /2 2

1.915458969

2.184521253

0.34

0.34

7395.309401 (kN)

1108309.137 (lb)

8413.9305 (kN)

1546967.368 (lb)

W m1

=

H + H p = 0.785G P + (2b x 3.14GmP)

7395.309401 (kN)

1108309.137 (lb)

W m2

=

3.14bGy

207.1654124 (kN)

46607.805 (lb)

w

=

Y

=

y

=

Z

=

18.62 (mm) 1/(K - 1) [066845 + 5.71690 (K 2 log 10 K)/(K 2 - 1) ]

1.743071802 124000 (KPa)

2

2

(K + 1)/(K - 1)

1.211883668

0.733 (in) 1.987919024 18000 (psi) 1.288638182

g1

=

go

=

h

=

ho

=

A

=

C

=

C1

=

C2

=

C3

=

C4

=

C5

=

C6

=

C7

=

C8

=

C9

=

C 10

=

C 11

=

C 12

=

C 13

=

C 14

=

C 15

=

C 16

=

C 17

=

C 18

=

C 19

=

C 20

=

C 21

=

C 22

=

C 23

=

C 24

=

C 25

=

C 26

=

C 27

=

C 28

=

C 29

=

C 30

=

C 31

=

C 32

=

C 33

=

C 34

=

C 35

=

C 36

=

C 37

=

E1

=

E2

=

E3

=

E4

=

E5

=

E6

=

INTEGRAL FLANGE F

=

V

=

f

=

LOOSE HUB FLANGE

FL

=

VL

=

f

=

h/h o

=

g1/go

=

(g 1 /g o )-1 43.68(h/h o ) 4 1/3 + A/12 5/42 + 17A/336 1/210 + A/360 11/360 + 59A/5040 + (1 + 3A)/C 1/90 + 5A/1008 - (1 + A) 3 /C 1/120 + 17A/5040 + 1/C 215/2772 + 51A/1232 + (60/7 + 225A/14 + 75A 2 /7 + 5A 3 /2)/C 31/6930+128A/45045+(6/7+15A/7+12A 2 /7+5A 3 /11)/C 533/30240+653A/73920+(1/2+33A/14+39A 2 /28+25A 3 /84)/C 29/3780+3A/704-(1/2+33A/14+81A 2 /28+13A 3 /12)/C 31/6048+1763A/665280+(1/2+6A/7+15A 2 /28+5A 3 /42)/C 1/2925+71A/300300+(8/35+18A/35+156A 2 /385+6A 3 /55)/C

761/831600+937A/1663200+(1/35+6A/35+11A 2 /70+3A 3 /70)/C 197/415800+103A/332640-(1/35+6A/35+17A 2 /70+A 3 /10)/C 233/831600+97A/554400+(1/35+3A/35+A 2 /14+2A 3 /105)/C C 1 C 7 C 12 +C 2 C 8 C 3 +C 3 C 8 C 2 -(C 3 2 C 7 +C 8 2 C 1 +C 2 2 C 12 ) [C 4 C 7 C 12 +C 2 C 8 C 13 +C 3 C 8 C 9 -(C 13 C 7 C 3 +C 8 2 C 4 +C 12 C 2 C 9 )]/C 16 [C 5 C 7 C 12 +C 2 C 8 C 14 +C 3 C 8 C 10 -(C 14 C 7 C 3 +C 8 2 C 5 +C 12 C 2 C 10 )]/C 16 [C 6 C 7 C 12 +C 2 C 8 C 15 +C 3 C 8 C 11 -(C 15 C 7 C 3 +C 8 2 C 6 +C 12 C 2 C 11 )]/C 16 [C 1 C 9 C 12 +C 4 C 8 C 3 +C 3 C 13 C 2 -(C 3 2 C 9 +C 13 C 8 C 1 +C 12 C 4 C 2 )]/C 16 [C 1 C 10 C 12 +C 5 C 8 C 3 +C 3 C 14 C 2 -(C 3 2 C 10 +C 14 C 8 C 1 +C 12 C 5 C 2 )]/C 16 [C 1 C 11 C 12 +C 6 C 8 C 3 +C 3 C 15 C 2 -(C 3 2 C 11 +C 15 C 8 C 1 +C 12 C 6 C 2 )]/C 16 [C 1 C 7 C 13 +C 2 C 9 C 3 +C 4 C 8 C 2 -(C 3 C 7 C 4 +C 8 C 9 C 1 +C 2 2 C 13 )]/C 16 [C 1 C 7 C 14 +C 2 C 10 C 3 +C 5 C 8 C 2 -(C 3 C 7 C 5 +C 8 C 10 C 1 +C 2 2 C 14 )]/C 16 [C 1 C 7 C 15 +C 2 C 11 C 3 +C 6 C 8 C 2 -(C 3 C 7 C 6 +C 8 C 11 C 1 +C 2 2 C 15 )]/C 16 -(C/4) 1/4 C 20 -C 17 -5/12+C 17 C 26 C 22 -C 19 -1/12+C 19 C 26 -(C/4) 1/2 -(C/4) 3/4

3A/2-C 17 C 30 1/2-C 19 C 30 0.5C 26 C 32 +C 28 C 31 C 29 -(0.5C 30 C 28 +C 32 C 27 C 29 ) 1/12+C 18 -C 21 -C 18 C 26 -C 18 (C/4) 3/4 (C 28 C 35 C 29 -C 32 C 34 C 29 )/C 33 [0.5C 26 C 35 +C 34 C 31 C 29 -(0.5C 30 C 34 +C 35 C 27 C 29 )]/C 33 C 17 C 36 +C 18 +C 19 C 37 C 20 C 36 +C 21 +C 22 C 37 C 23 C 36 +C 24 +C 25 C 37 1/4+C 37 /12+C 36 /4-E 3 /5-3E 2 /2-E1 E 1 (1/2+A/6)+E 2 (1/4+11A/84)+E 3 (1/70+A/105) E 5 -C 36 (7/120+A/36+3A/C)-1/40-A/72-C 37 (1/60+A/120+1/C)

INTEGRAL FLANGE -E6/(C/2.73)1/4 (1+A)3/C E4/(2.73/C)1/4 (1+A)3 C36/(1+A) LOOSE HUB FLANGE

1/4

3

-[(C18(1/2+A/6)+C21(1/4+11A/84)+C24(1/70+A/105)-(1/40+A/72)]/[(C/2.73) (1+A) /C] [1/4-(C24/5)-(3C21/2)-C18]/[(2.73/C)1/4(1+A)3] 1

h/(Bg o ) 1/2

CHECK 75.184 58.4 92.202 95.54014863 0.28739726 checked 37.88788356 checked 0.357283105 checked 0.133588552 checked 0.00556023 checked 0.083069989 checked -0.043780033 checked 0.035696391 checked 0.462523063 checked 0.048189688 checked 0.054464308 checked -0.029165497 checked 0.026828394 checked 0.011295455 checked

0.003500915 checked -0.002083787 checked 0.001902406 checked 0.000892606 0.000892606 0.209528776 0.209528776 -0.110819463 -0.110819463 0.08700055

0.08700055

0.064250855 0.064250855 -0.03152609

-0.03152609

0.035626917 0.035626917 -0.067313982 -0.067313982 0.004570656 0.004570656 -0.026398883 -0.026398883 -1.754325147 -1.754325147 -0.929526187 -0.929526187 -0.287334219 -0.287334219 -3.077656721 -3.077656721 -5.399210579 -5.399210579

1.562385873 1.562385873 0.96973429

0.96973429

-3.018840145 -3.018840145 -0.190373411 -0.190373411 0.598337619 0.598337619 0.012935969 0.012935969 0.607871246 0.607871246 -0.055223873 -0.055223873 -0.009038365 -0.009038365 -0.012347238 -0.012347238 0.375140797 0.375140797 -0.033067073 -0.033067073 -0.09084192

-0.09084192

0.835727102 0.835727102 1.544957236 1.544957236 1 0.010048157

0.908017755 0.368339718 1

0.965060253 1.28739726

Blind Flange Thickness C Factor

0.3

P Design Pressure

12038 psi

S Allowable Stress

30000 psi

d

diameter

hG Gasket Moment Arm W

Total Bolt Load

9 IN 3.94 IN 1546967.4 lb

T Minimum Required Thickness

7.2554726 IN

Min Groove to OS of Flange

6.5491299 IN

Pressure Calc For Threaded Component D

21.3 mm

P

124.5 N/mm2

S

282 N/mm2

c

0

t

4.254212 mm

tm

4.254212 mm