Design calculation Anchor Flanges
According ASME VIII div 1 appendix 2
Customer:
Customer ref:
Date:
PFF ref:
Design data
figure
mm
description
de
273.1
mm
Outside diameter welding end
di
242.9
mm
Inside diameter
dfd
15.1
mm
Wall thickness welding end
rimod
480
mm
Flange blade outside diameter
fd
150
mm
Flange blade thickness
bc
0
mm
Diameter bolt circle
df2
0
mm
Bolt holes diameter
NB
0
Number of bolts
th
400
mm
total hight
x
330
mm
Diameter conical hub
re
100
°C
Design temperature
Rt
382
Yield at design temperature
Rm
620
ca
3
mm
Corrosion allowance
milt
1
%
Mill tolerance
TD
pd
218
bar
Design pressure
dsf
0.5
Design factor B31.X
fe
1450
kN
External axial force
ge = 381
me
110
kNm
External moment
Calculated figures
FEC =
1450000
N
[= fe x 1000]
MEC =
110000000 N
[= me *1000*1000]
PDC =
21.8
Mpa
[= pd/10]
N/mm
2N/mm
2Tensile at 20°
N/mm
2g0 =
11.949
mm
[= dfd-dfd x milt / 100 - ca]
(minimum wall thickness)
249.051
mm
[= di+dfd x milt / 100 + ca x 2] (Maximum ID)
h =
125
mm
[= (th-fd)/2]
(Hight conical hub)
g1 =
40.475
mm
[= (x - di)/2]
(Average thickness conical hub)
h0 =
54.551905549 mm
(Square root (max id x minimum WT))
di
max=
(minimum wall thickness)
(Average thickness conical hub)
(Square root (max id x minimum WT))
Calculation of value c:
C1 = 0.5322725751 [=1/3 + (a/12) C2 = 0.2398321587 [=5/42+17 x a/336] C3 = 0.0113932128 [=1/210 + a/360] C4 = 0.0652798148 [=11/360 + 59 x a/5040+(1+3 x a)/c] C5 = -0.00932231 C6 = 0.0172160927 [=1/120 + 17 x a/5040 + 1/c] C7 = 0.29432043 C8 = 0.0294661804 C9 = 0.0537576445 C10 = -0.0131748 C11 = 0.0174469992 C12 = 0.0052659899 C13 = 0.0038515659 C14 = -0.00142985 C15 = 0.0014524687 C16 = 0.0001827433 C17 = 0.0489984794 C18 = 0.0030194494 C19 = 0.0052068386 C20 = 0.1821552523 C21 = -0.0440792 C22 = 0.0649162487 C23 = -0.39386777 C24 = -0.03141068 C25 = -0.0986875897 C26 = -4.16539074 C27 = -0.48760771 [=C20 - C17 - 5/12 + C17 x C26] C28 = -0.04531244 [=C22 - C19 - 1/12 + C19 x C26] C29 = -17.35048 C30 = -72.2715287 C31 = 7.122101365 [=3 x a/2 - C17 x C30] C32 = 0.8763061852 [=1/2 - C19 x C30] C33 = -5.27688508 [=0,5 x C26 x C32 + C28 x C31 x C29 - (0,5 x C30 x C28 + C32 x C27 x C29)] C34 = 0.1430091734 [=1/12 + C18 - C21 - C18 x C26] C35 = -0.21822022 C36 = -0.37954133 [=(C28 x C35 x C29 - C32 x C34 x C29)/C33] C37 = 1.933619375 [=(0,5 x C26 x C35 + C34 x C31 x C29 - (0,5 x C30 x C34 x+ C35 x C27 x C29))/C33] E1 = -0.00550945 [=C17 x C36 + C18 + C19 x C37] E2 = 0.0123086657 [=C20 x C36 + C21 + C22 x C37] E3 = -0.0727458197 [=C23 x C36 + C24 + C25 x C37]E4 = 0.3178452361 [=1/4 + C37/12 + C36/4 - E3/5 - 3 x E2/2 - E1]
E5 = -0.0007149 [=E1 x (1/2 + a/6) + E2 x (1/4 + 11 x a/84) + E3 x (1/70 + a/105)]
E6 = -0.08160568 [=E5 - C36 x (7/120 + a/36 + 3 x a/c) - 1/40 - a/72 - C37 x (1/60 + a/120 + 1/c)] a = 2.387270901 [=(g1/g0)-1]
c = 1204.1566259088
Calculation of value F, f & v:
F= 0.5517260562 0.551726 If g1 = g0 F=0,90892 f= 1 [=C36 / (1+a)] -0.112049 If g1 = g0 or f<1, f=1 v= 0.0017845792 0.001785 If g1 = g0 v=0,550103
Calculation of value Sr, St, & Sh:
e= 0.0101137816 [=F/h0] K= 1.9273160919 [=rimod/di] q= 1 [=1/log(10)] Z1= 0.2849529475 [=log(K)] t= 1.5341565409 U= 3.4337645031 Y= 3.1247328589 Z= 1.736771095 D= 14986759.0508383 L= 1.865883535
B1= 261 [=di + gi] if f<=1 B1=di,max+g0 FT= 3135823.75478927 [=FEC + 4 x MEC / (di + g0)]
R= 0 [=(bc-x)/2] -165 if R<0 than R=0 M= 108185919.54023 [=FT*(R+g1-g2/2)] Sr= 31.2242043005 [=M*(1,33*fd*e+1)/(L*di*fd^2)] [=1/90 + 5 x a/1008-(1+a)3/c] [=215/2772 + 51 x a/1232 + (60/7 + 225 x a/14 + 75 x a2/7 + 5 x a3/2)/c] [=31/6930 + 128 x a /45045 + (6/7 + 15 x a/7 + 12 x a2/7 + 5 x a3/11)/c] [=533/30240 + 653 x a/73920 + (1/2 + 33 x a/14 + 39 x a2/28 + 25 x a3/84)/c] [=29/3780 + 3 x a/704 - (1/2 + 33 x a/14 + 81 x a2/28 + 13 x a3/12)/c] [=31/6048 + 1763 x a/665280 + (1/2 + 6 x a/7 + 15 x a2/28 + 5 x a3/42)/c] [=1/2925 + 71 x a/300300 + (8/35 + 18 x a/35 + 156 x a2/385 + 6 x a3/55)/c] [=761/831600+937 x a/1663200 + (1/35 + 6 x a/35 + 11 x a2/70 + 3 x a3/70)/c] [=197/415800 + 103 x a/332640 - (1/35 + 6 x a/35 + 17 x a2/70 + a3/10)/c] [=233/831600+97 x a/544400 + (1/35 + 3 x a/35 + a2/14 + 2 x a3/105)/c] [=(C1 x C7 X C12 + C2 x C8 x C3 + C3 x C8 x C2 - (C32 x C7 + C82 x C1 + C22 x C12)] [=(C4 x C7 x C12 + C2 x C8 x C13 + C3 x C8 x C9 - (C13 x C7 x C3 + C82 x C4 + C12 x C2 x C9))/C16] [=(C5 x C7 x C12 + C2 x C8 x C14 + C3 x C8 x C10 - (C14 x C7 x C3 + C82 x C5 + C12 x C2 x C10))/C16] [=(C6 x C7 x C12 + C2 x C8 x C15 + C3 x C8 x C11 - (C15 x C7 x C3 + C82 x C6 + C12 x C2 x C11))/C16] [=(C1 x C9 x C12 + C4 x C8 x C3 + C3 x C13 x C2 - (C32 x C9 + C13 x C8 x C1 + C12 x C4 x C2))/C16] [=(C1 x C10 x C12 + C5 x C8 x C3 + C3 x C14 x C2 - (C32 x C10 + C14 x C8 x C1 + C12 x C5 x C2))/C16] [=(C1 x C11 x C12 + C6 x C8 x C3 + C3 x C15 x C2 - (C32 x C11 + C15 x C8 x C1 + C12 x C6 x C2))/C16] [=(C1 x C7 x C13 + C2 x C9 x C3 + C4 x C8 x C2 - (C3 x C7 x C4 + C8 x C9 x C1 + C22 x C13))/C16] [=(C1 x C7 x C14 + C2 x C10 x C3 + C5 x C8 x C2 - (C3 x C7 x C5 + C8 x C10 x C1 + C22 x C14))/C16] [=(C1 x C7 x C15 + C2 x C11 x C3 + C6 x C8 x C2 - (C3 x C7 x C6 + C8 x C11 x C1 + C22 x C15))/C16 [=-(c/4)0,25] [=-(c/4)0,5] [=-(c/4)0,75] [=-C18 x (c/4)0,75] [=43,68 x (h/h0)4] [=-E6/((c/2,73)0,25 x ((1+a)3)/c) [=E4/((c/2,73)0,25 x (1+a)3)] [=(K2 x (1+8,55246 x q x Z1)-1)/((1,0472 + 1,9448 x K2) x (K-1)) [=K2 x (1 + 8,55246 x q x Z1)-1)/(1,36136 x (K2-1) x (K-1)] [=(1/(K - 1)) x (0,66845 + 5,7169 x (K2 x q x Z1/(K2 - 1)))] [=(K2 + 1)/(K2 - 1)] [=(U/v) x h0 x g02] [=(fd x e + 1)/t + fd3/D]
St= 6.097857071 [=Y*M/(di*fd^2)-Z*SR] Sh= 135.6071898207 [=f*M/(L*B1*G1^2)] S1= 83.4156970606 [=(Sh+Sr)/2)] S2= 70.8525234459 [=(Sh+St)/2] FB= 191 [=dsf*Rt]
