Calculation of Flange (conical Hub)
Acc.d-0701
Rev./SHM/01/2020
INPUT
1 DEVICE NUMBER
(max. 40 characters)
2
PART
(max. 40 characters)
3 PROJECT NUMBER (max.
40 characters)
4 CALCULATED BY
(max. 40 characters)
5 DESIGN
TEMPERATURE
Qm
[Grad C]
10 MATERIAL FLANGE (max. 40
characters)
11 CROSS-SECT.AREA ROOT BOLT
Abk
[mm2]
12 MIN.CROSS-SECT.AREA BOLT
Abmin
[mm2]
13 GASK.WID.in CONT.SCAL.FAC.
bg
[mm]
14
15 INDIC. BOLT = 0 / CLAMP =
1
[-]
16 NOM.THREAD DIAMET. BOLD
Ddb
[mm]
17 INSIDE DIAMETER FLANGE
Di
[mm]
18 OUTSIDE DIAMETER FLANGE
Df
[mm]
19 DIAMETER BOLD CIRCLE
Df1
[mm]
20 DIAM.BOLD HOLE/WIDTH CLAMP
Df2,bc
[mm]
21 DIAMET. EFFECT.SEAL. CIRC.
Dg
[mm]
22 INSIDE DIAM.FLANGE CONNEC.
Di1
[mm]
23 THICKNESS
FLANGE
df
[mm]
24 WALL THICK.CYLIND.PART
df1
[mm]
25 THUCK.CONICAL PART HUB
df2
[mm]
26 0 or THICKNESS GASKET
dg
[mm]
27 GASKET -
FACTOR
cg
[-]
28 INTERN.WELDED DIAPHRAGM (0/1)
0 = no [-]
30 MODULUS ELASTI.(20 GR.C)
Ef
[N/mm2]
31 EXTERN.AXIAL.FORCE(or0/1/2-switch) Fe
**
[N]or[-]
32 EXTER.BENDING MOM(or0/1/2-switch) Me
** [Nmm]or[-]
33 ACTUAL BOLT FORCE(or1/0-switch) F4mw
*** [N]or[-]
34 DESIG.STRES.SEAT.COND.BOLT
fbm
[N/mm2]
35 DESIG.STRES.TEST COND.BOLT
fbt
[N/mm2]
36 DESIG.STRES.OPER.COND.BOLT
fbw
[N/mm2]
37 ESIG.STRES.MAX.BOLT FORCE
Reb
[N/mm2]
38 DESIG.STRES.SEAT.COND.FLAN.
ffm
[N/mm2]
39 DESIG.STRES.TEST COND.FLAN.
fft
[N/mm2]
40 DESIG.STRES.OPER.COND.FLAN.
ffw
[N/mm2]
41 DESIG.STRES.SEAT.COND.CYLI.
fcm
[N/mm2]
42 DESIG.STRES.TEST COND.CYLI.
fct
[N/mm2]
43 DESIG.STRES.OPER.COND.CYLI.
fcw
[N/mm2]
44 SHAPE STABIL. FLANGE 1.35 *
Ref
[N/mm2]
50 HEIGHT CONICAL
HUB
h
[mm]
51 LENGTH
CYLIND.PART
lc
[mm]
52 NUMBER of BOLTS /CLAMPS
nb,nc
[-]
53 DESIGN
PRESSURE
Pd
[MPa]
54 REQUIR.PRESS.SEAT GASKET
Pgmmin
[N/mm2]
55 REQUIR.PRESS.SEAT GASKET
Pgmmax
[N/mm2]
56 REQUIR.PRESS.SEAT GASKET
Pgwmax
[N/mm2]
57 TEST
PRESSURE
Pt
[bar]
58 EXTERN.AXIAL FORCE SEAT.C.
Fem
[N]
59 EXTERN.AXIAL FORCE TEST C.
Fet
[N]
60 EXTERN.AXIAL FORCE OPER.C.
Few
[N]
61 EXTERN.BENDI.MOM. SEAT CO.
Mem
[Nmm]
62 EXTERN.BENDI.MOM. TEST CO.
Met
[Nmm]
63 EXTERN.BENDI.MOM. OPER.CO.
Mew
[Nmm]
** Axial Force or Moment
Switch = 0 none
= 1 - ( 0.25*Pie*Di*Di*Pd ) * 2
= 2 - Declare Last 3 Data
*** Real Bols-Force
Switch = 0 Without Hand-Key
= -1 With Hand-Key
Calculation of Flange ( conical Hub )
Acc.d-0701
Rev./SHM/01/2020
1 DEVICE
NUMBER
:Plant WEST III/VI-23 ?
2
PART
:Main pipe 401/3
3 PROJECT
NUMBER
:New part 5
4 CALCULATED
BY
:shm test
5 DESIGN
TEMPERATURE
Qm : 125.36 [degrees]
9 FLANGE DATA
10 MATERIAL FLANGE
:
MATERIAL TEXT
11 CROSS-SECT.AREA ROOT BOLT Abk
:
303.00 [mm2]
12 MIN.CROSS-SECT.AREA BOLT
Abmin:
300.00 [mm2]
13 GASK.WID.in CONT.SCAL.FAC.bg
:
20.00 [mm]
14 Reserved ( =BG
)
: 0.00 [mm]
15 INDIC. BOLT = 0 / CLAMP = 1
:
0.00 [-]
16 NOM.THREAD DIAMETER BOLD Ddb
:
24.00 [mm]
17 INSIDE DIAMETER FLANGE Di
:
486.00 [mm]
18 OUTSIDE DIAMETER FLANGE Df
:
640.00 [mm]
19 DIAMETER BOLD CIRCLE Df1
: 590.00 [mm]
20 DIAM.BOLD HOLE/WIDTH CLAMP
Df2,bc
27.00 [mm]
21 DIAMET. EFFECT.SEAL. CIRC Dg
:
510.00 [mm]
22 INSIDE DIAM.FLANGE CONNEC Di1
:
486.00 [mm]
23 THICKNESS
FLANGE
df : 75.00
[mm]
24 WALL THICK.CYLIND.PART df1
:
10.50 [mm]
25 THUCK.CONICAL PART HUB df2
:
70.00 [mm]
26 0 or THICKNESS GASKET dg
: .00 [mm]
27 GASKET -
FACTOR
cg :
1.00 [-]
28 INTERN.WELDED DIAPHRAGM (0/1)
:
.00 [-]
30 MODULUS ELASTI.(20 GR.C) Ef
:
205800.00 [N/mm2]
31 EXTERN.AXIAL.FORCE(0/1/2) Fe
:
2.00 [N]or[-]
32 EXTERN.BENDING MOM(0/1/2) Me
:
2.00 [Nmm]or[-]
33 ACTUAL BOLT FORCE(or 1/0) F4mw
:
-1.00 [N]or[-]
34 DESIG.STRES.SEAT.COND.BOLT fbm
:
413.00 [N/mm2]
35 DESIG.STRES.TEST COND.BOLT fbt
:
378.00 [N/mm2]
36 DESIG.STRES.OPER.COND.BOLT fbw
:
286.00 [N/mm2]
37 DESIG.STRES.MAX.BOLT FORCE Reb
:
549.40 [N/mm2]
38 DESIG.STRES.SEAT.COND.FLAN.ffm
:
300.00 [N/mm2]
39 DESIG.STRES.TEST COND.FLAN.fft
:
276.00 [N/mm2]
40 DESIG.STRES.OPER.COND.FLAN.ffw
:
141.00 [N/mm2]
41 DESIG.STRES.SEAT.COND.CYLI.fcm
:
318.00 [N/mm2]
42 DESIG.STRES.TEST COND.CYLI.fct
:
293.00 [N/mm2]
43 DESIG.STRES.OPER.COND.CYLI.fcw
:
150.90 [N/mm2]
44 SHAPE STABIL. FLANGE 1.35 *
Ref:
324.00 [N/mm2]
Date : 1.01.2020 Page : 1 of : 5
Calculation of Flange (conical Hub
)
Acc.d-0701
Rev./SHM/01/2020
50 HEIGHT CONICAL HUB
h : 135.00
[mm]
51 LENGTH CYLINDRICAL PART lc
:
100.00 [mm]
52 NUMBER of BOLTS/CLAMPS nb,nc
:
20.00 [-]
53 DESIGN
PRESSURE
Pd :
2.60 [MPa]
54 REQUIR.PRESS.SEAT GASKET
Pgmmin:
50.00 [N/mm2]
55 REQUIR.PRESS.SEAT GASKET
Pgmmax:
135.00 [N/mm2]
56 REQUIR.PRESS.SEAT GASKET
Pgwmax:
135.00 [N/mm2]
57 TEST
PRESSURE
Pt : 35.00
[bar]
58 EXTERN.AXIAL FORCE SEAT.C.Fem
:
100000. [N]
59 EXTERN.AXIAL FORCE TEST C.Fet
:
200000. [N]
60 EXTERN.AXIAL FORCE OPER.C.Few
:
400000. [N]
61 EXTERN.BENDI.MOM. SEAT CO.Mem
:
10000. [Nmm]
62 EXTERN.BENDI.MOM. TEST CO.Met
:
20000. [Nmm]
63 EXTERN.BENDI.MOM. OPER.CO.Mew
:
40000. [Nmm]
Date : 1.01.2020 Page : 2 of : 5
Calculation of Flange (conical Hub
)
Acc.d-0701
Rev./SHM/01/2020
110 RESULTS of CALCULATION
111 GASKET SEAT. CONDI.BOLT acc.$5
STRESS CALCULAT.
:
283.72 [N/mm2] acc.$7.2
STRESS CALCULAT.
:
280.91 [N/mm2]
STRESS ALLOWED
:
413.00 [N/mm2]
AUXILIARY VAL.zbm
:
.680 [-]
112 TEST CONDITION BOLT acc.$5
STRESS CALCULAT.
:
171.22 [N/mm2] acc.$7.2
STRESS CALCULAT.
:
169.52 [N/mm2]
STRESS ALLOWED
:
378.00 [N/mm2]
AUXILIARY VAL.zbt
:
.448 [-]
113 OPERATING CONDIT. BOLT acc.$5
STRESS CALCULAT.
:
171.90 [N/mm2] acc.$7.2
STRESS CALCULAT.
:
170.20 [N/mm2]
STRESS ALLOWED
:
286.00 [N/mm2]
AUXILIARY VAL.zbw
:
.595 [-]
114 GASKET SEAT FLANGE
STRESS CALCULAT.
:
38.24 [N/mm2] acc.$7.1
STRESS ALLOWED
:
300.00 [N/mm2]
AUXILIARY VAL.zfm
:
.127 [-]
115 TEST CONDITION FLANGE
STRESS CALCULAT.
:
26.27 [N/mm2] acc.$7.1
STRESS ALLOWED .
:
276.00 [N/mm2]
AUXILIARY VAL.zft
:
.095 [-]
116 OPERATING CONDIT.FLANGE
STRESS CALCULAT.
:
26.49 [N/mm2] acc.$7.1
STRESS ALLOWED
:
141.00 [N/mm2]
AUXILIARY VAL.zfw
:
.188 [-]
117 SHAPE STABILITY FLANGE
STRESS CALCULAT.
:
36.59 [N/mm2] acc.$4.2
STRESS ALLOWED
:
324.00 [N/mm2]
AUXILIARY VAL.zfv
:
.113 [-]
118 ANGLE ROTATION FLANGE
ROTATION
CALCULAT.:
.000 [Rad.] acc.$8. ?
ROTATION ALLOWED
:
.017 [Rad.]
AUXILIARY zfh
:
.022 [-]
*****
ACC.REQ.
*****
Date : 1.01.2020 Page : 3 of : 5
Calculation of Flange (conical Hub)
Acc.d-0701
Rev./SHM/01/2020
130 RESULTS of GENERAL CALCULATION
131 CYLINDRICAL
PART
: 72.20 [-]
132 IRREGULARITY FACTOR
cb : 1.00
[-]
133 DIAMETER of BOLT HOLE Df2*
:
13.88 [mm]
134 GASKET FACTOR IT-GASKET cx
:
.00 [-]
135 DIST.NEUTR.LINE to SEAL.FACE s
:
84.72 [mm]
136 CROSS-SECTION.AREA FLANGE A1
:
4734.15 [mm2]
137 CROSS-SECTION.AREA CONIC. A2
:
4016.25 [mm2]
138 CROSS-SECTION.AREA CYLIN. A3
:
1417.50 [mm2]
139 CROSS-SECTION.AREA TOT. Atot
:
10167.90 [mm2]
140 SECTION MODUL.FLANGE A-A WAA
:
302072.80 [mm3]
141 SECTION MODUL.FLANGE B-B WBB
:
59176.88 [mm3]
142 GASKET FORCE SEAT.CONDIT. F3m1 :
1602212. [N]
143 GASKET FORCE SEAT.CONDIT. F3m2 :
1130029. [N]
144 GASKET FORCE SEAT.CONDIT. F3m3 :
1237710. [N]
145 INITIAL.FORCES BOLT Sigma
bm:
275.57 [N/mm2]
146 MAX. BOLT-FORCE TEMPOR. F4m
:
1669940. [N]
147 MAX. BOLF-FORCE DEFINIT. F4m
:
1669940. [N]
148 INTERNAL AREA DIAMET.INSI.AiDi :
185507.90
[mm2]
149 INTERNAL AREA SEALING CIR.Aadc :
204282.00
[mm2]
150 MOMENT ARM BY
F1
lF1 : 93.50 [mm]
151 MOMENT ARM BY
F2
lF2 : 92.00 [mm]
152 MOMENT ARM BY
F3
lF3 : 80.00 [mm]
153 MOMENT ARM for
C-C
lCC : -18.00 [mm]
154 MIN.ALLOW.PITCH of BOLTS STmi
:
50.40 [mm]
155 CALCUL.PITCH of BOLTS STad
:
56.00 [mm]
156 REAL PITCH of BOLTS
STre : 92.68 [mm]
Date : 1.01.2020 Page : 4 of : 5
Calculation of Flange (conical Hub
)
Acc.d-0701
Rev./SHM/01/2020
80 RESULTS
FLANGE-CALCULATION SEATING
OPERATING
TEST CONDITION
81 WALL-THICK. CYLINDER
d1
.2
4.01
1.97 [mm]
82 CORR.FACT.DESIGN
STRES.cf
1.0
1.00
1.00 [-]
83 FORCE on FLANGE ADJOIN.F1 100078.4
882634.30
849434.60 [N]
84 FORCE on FLANGE
INTERN.F2
.0 48812.80 65709.55 [N]
85 GASKET
FORCE
F3 1602212.0 99978.04 112154.90 [N]
86 BOLT FORCE TOTAL
F
1702291.0 1031425.00 1027299.00 [N]
87 SECTION MODUL. CYLIN. WAA
4559.7
3895.21 4400.51 [mm3]
88 SECTION MODUL. A-A WAA
306632.5
305968.00 306473.30 [mm3]
89 SECTION MODUL. B-B WBB
286208.1
285463.90 286029.80 [mm3]
90 SECTION MODUL. C-C WCC 1843722.0
1843722.00 1843722.00 [mm3]
91 ACTUAL BOLD STRESS Sigmab
280.9 170.20
169.5
[N/mm2]
92 ACTUAL MOMENT FLANGE M
10944630.
7561080. 7515280. [Nmm]
93 ACTUAL MOMENT C-C MCC
-30641230.-18565650.
-18491380. [Nmm]
94 ACTUAL STRESS A-A
SigmaAA
35.6 24.71
24.5 [N/mm2]
95 ACTUAL STRESS B-B
SigmaBB
38.2 26.49
26.2 [N/mm2]
96 ACTUAL STRESS C-C SigmaCC
-16.6 -10.07
-10.0
[N/mm2]
97 MIN.CLOSE-FLANGE
THICK.d
54.32 43.36 [mm]
98 MAX.SEALING FORCE
Fdic
754795.50 [N]
99 STRESS CALCULAT.
$5
283.7 171.90 171.22
[N/mm2]
100 RESULTS CALCULATION SHAPE STABILITY
101 MOMENT MAX. BOLT FORCE Mt*
:
11606460. [Nmm]
102 MOMENT MCC MAX.BOLT FORCE MCCt*: -30058910.
[Nmm]
103 EXTRA SECTION MODUL.
WAA*ex:
10772.42 [mm3]
104 EXTRA SECTION MODUL.
WBB*ex:
82174.80 [mm3]
105 ACTUAL STRESS A-A
SigmaAA*:
36.59 [N/mm2]
106 ACTUAL STRESS B-B
SigmaBB*:
31.52 [N/mm2]
107 ACTUAL STRESS C-C
SigmaCC*:
-16.30 [N/mm2]
108 FIBRE
DISTANCE
s1 : 213.10 [mm]
109 ACTUAL ANGLE ROTATION B-B Alfa
:
.000 [Rad.]
Date : 1.01.2020 Page : 5 of : 5