296675650-design-calculation-anchor-flange-asme-viii-div-1.xlsx

Design calculation Anchor Flanges According ASME VIII div 1 appendix 2 Customer: Customer ref: Date: PFF ref:

Design data figure de di dfd rimod fd bc df2 NB th x re

273.1 242.9 15.1 480 150 0 0 0 400 330 100

mm

description

mm mm mm mm mm mm mm

Outside diameter welding end Inside diameter Wall thickness welding end Flange blade outside diameter Flange blade thickness Diameter bolt circle Bolt holes diameter Number of bolts total hight Diameter conical hub Design temperature

mm mm °C

Rt

382

N/mm2

Yield at design temperature

Rm ca milt TD pd

620 3 1

N/mm mm %

Tensile at 20° Corrosion allowance Mill tolerance

218

bar

Design pressure

dsf fe me

0.5 1450 110

N/mm2 kN kNm

Design factor B31.X External axial force External moment

2

Calculated figures FEC = MEC = PDC =

1450000 N 110000000 N 21.8 Mpa

[= fe x 1000] [= me *1000*1000] [= pd/10]

ge = 381

g0 = dimax = h= g1 = h0 =

11.949

mm

[= dfd-dfd x milt / 100 - ca]

(minimum wall thickness)

249.051 125 40.475

mm mm mm

[= di+dfd x milt / 100 + ca x 2] [= (th-fd)/2] [= (x - di)/2] [= √(dimax x g0)]

(Maximum ID) (Hight conical hub) (Average thickness conical hub)

54.55190555 mm

(Square root (max id x minimum WT))

Calculation of value c: C1 = C2 = C3 = C4 =

0.5322725751 0.2398321587 0.0113932128 0.0652798148

[=1/3 + (a/12) [=5/42+17 x a/336] [=1/210 + a/360] [=11/360 + 59 x a/5040+(1+3 x a)/c]

C5 = C6 =

-0.00932231 0.0172160927

[=1/90 + 5 x a/1008-(1+a)3/c] [=1/120 + 17 x a/5040 + 1/c]

C7 =

0.29432043

[=215/2772 + 51 x a/1232 + (60/7 + 225 x a/14 + 75 x a 2/7 + 5 x a3/2)/c]

C8 =

0.0294661804

[=31/6930 + 128 x a /45045 + (6/7 + 15 x a/7 + 12 x a 2/7 + 5 x a3/11)/c]

C9 =

0.0537576445

[=533/30240 + 653 x a/73920 + (1/2 + 33 x a/14 + 39 x a2/28 + 25 x a3/84)/c]

C10 =

-0.0131748

C11 =

0.0174469992

[=31/6048 + 1763 x a/665280 + (1/2 + 6 x a/7 + 15 x a 2/28 + 5 x a3/42)/c]

C12 =

0.0052659899

[=1/2925 + 71 x a/300300 + (8/35 + 18 x a/35 + 156 x a 2/385 + 6 x a3/55)/c]

C13 =

0.0038515659

[=761/831600+937 x a/1663200 + (1/35 + 6 x a/35 + 11 x a 2/70 + 3 x a3/70)/c]

C14 =

-0.00142985

C15 =

0.0014524687

[=233/831600+97 x a/544400 + (1/35 + 3 x a/35 + a2/14 + 2 x a3/105)/c]

C16 =

0.0001827433

[=(C1 x C7 X C12 + C2 x C8 x C3 + C3 x C8 x C2 - (C32 x C7 + C82 x C1 + C22 x C12)]

C17 =

0.0489984794

[=(C4 x C7 x C12 + C2 x C8 x C13 + C3 x C8 x C9 - (C13 x C7 x C3 + C8 2 x C4 + C12 x C2 x C9))/C16]

C18 =

0.0030194494

[=(C5 x C7 x C12 + C2 x C8 x C14 + C3 x C8 x C10 - (C14 x C7 x C3 + C8 2 x C5 + C12 x C2 x C10))/C16]

C19 =

0.0052068386

[=(C6 x C7 x C12 + C2 x C8 x C15 + C3 x C8 x C11 - (C15 x C7 x C3 + C8 2 x C6 + C12 x C2 x C11))/C16]

C20 =

0.1821552523

[=(C1 x C9 x C12 + C4 x C8 x C3 + C3 x C13 x C2 - (C3 2 x C9 + C13 x C8 x C1 + C12 x C4 x C2))/C16]

C21 =

-0.0440792

[=(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]

C22 =

0.0649162487

[=(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]

C23 =

-0.39386777

[=(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 + C2 2 x C13))/C16]

C24 =

-0.03141068

[=(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 + C2 2 x C14))/C16]

C25 =

-0.0986875897

C26 = C27 = C28 =

-4.16539074 -0.48760771 -0.04531244

C29 =

-17.35048

C30 = C31 = C32 = C33 = C34 =

-72.2715287 7.122101365 0.8763061852 -5.27688508 0.1430091734

C35 = C36 = C37 = E1 = E2 = E3 = E4 = E5 = E6 =

-0.21822022 -0.37954133 1.933619375 -0.00550945 0.0123086657 -0.0727458197 0.3178452361 -0.0007149 -0.08160568

[=29/3780 + 3 x a/704 - (1/2 + 33 x a/14 + 81 x a2/28 + 13 x a3/12)/c]

[=197/415800 + 103 x a/332640 - (1/35 + 6 x a/35 + 17 x a 2/70 + a3/10)/c]

[=(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 + C2 2 x C15))/C16 [=-(c/4)0,25] [=C20 - C17 - 5/12 + C17 x C26] [=C22 - C19 - 1/12 + C19 x C26] [=-(c/4)0,5] [=-(c/4)0,75] [=3 x a/2 - C17 x C30] [=1/2 - C19 x C30] [=0,5 x C26 x C32 + C28 x C31 x C29 - (0,5 x C30 x C28 + C32 x C27 x C29)] [=1/12 + C18 - C21 - C18 x C26] [=-C18 x (c/4)0,75] [=(C28 x C35 x C29 - C32 x C34 x C29)/C33] [=(0,5 x C26 x C35 + C34 x C31 x C29 - (0,5 x C30 x C34 x+ C35 x C27 x C29))/C33] [=C17 x C36 + C18 + C19 x C37] [=C20 x C36 + C21 + C22 x C37] [=C23 x C36 + C24 + C25 x C37] [=1/4 + C37/12 + C36/4 - E3/5 - 3 x E2/2 - E1] [=E1 x (1/2 + a/6) + E2 x (1/4 + 11 x a/84) + E3 x (1/70 + a/105)] [=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 [=43,68 x (h/h0)4]

Calculation of value F, f & v: F= f=

3 0.5517260562 [=-E6/((c/2,73)0,25 x ((1+a)0.551726 )/c) 1 [=C36 / (1+a)] -0.11205

If g1 = g0 F=0,90892 If g1 = g0 or f<1, f=1

v=

0.0017845792 [=E4/((c/2,73)0,25 x (1+a)3)]0.001785

If g1 = g0 v=0,550103

Calculation of value Sr, St, & Sh: e= K= q= Z1=

0.0101137816 1.9273160919 1 0.2849529475

[=F/h0] [=rimod/di] [=1/log(10)] [=log(K)]

t=

1.5341565409

[=(K2 x (1+8,55246 x q x Z1)-1)/((1,0472 + 1,9448 x K2) x (K-1))

U=

3.4337645031

[=K2 x (1 + 8,55246 x q x Z1)-1)/(1,36136 x (K2-1) x (K-1)]

Y=

3.1247328589

[=(1/(K - 1)) x (0,66845 + 5,7169 x (K2 x q x Z1/(K2 - 1)))]

Z=

1.736771095

[=(K2 + 1)/(K2 - 1)]

D=

14986759.0508383

[=(U/v) x h0 x g02]

L= B1= FT= R= M= Sr= St= Sh= S1= S2= FB=

1.865883535 261 3135823.75478927 0 108185919.54023 31.2242043005 6.097857071 135.6071898207 83.4156970606 70.8525234459 191

[=(fd x e + 1)/t + fd3/D] [=di + gi] [=FEC + 4 x MEC / (di + g0)] [=(bc-x)/2] -165 [=FT*(R+g1-g2/2)] [=M*(1,33*fd*e+1)/(L*di*fd^2)] [=Y*M/(di*fd^2)-Z*SR] [=f*M/(L*B1*G1^2)] [=(Sh+Sr)/2)] [=(Sh+St)/2] [=dsf*Rt]

Results: Sr =

31.2242043005 N/mm2

≤

FB =

191

St =

6.097857071 N/mm2

≤

FB =

191

Sh =

135.6071898207 N/mm2

≤

Rt =

382

(Sh + Sr)/2 =

83.4156970606 N/mm2

≤

FB =

191

(Sh + St)/2 =

70.8525234459 N/mm2

≤

FB =

191

Conclusion:

if f<=1 B1=di,max+g0 if R<0 than R=0