Accumulator Saddle Design Calculations
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Transcript of Accumulator Saddle Design Calculations
Accumulator Saddle DesignMetric British
Parameter Symbol Unit Value UnitDesign Pressure (Internal) P kg/mm2 0.1
Design Pressure (External) kg/mm2 0.0
Shell ID mm 2000 ft
Shell mean radius mm 1014Shell Straight Length L mm 10000 ftDish End Type Semiellipsoidal (2:1)Material SA 516 Gr 70Allowable stress S kg/mm2 14.1
Minimum Yield stress kg/mm2 26.5Dish End Length H mm 567.4 ft
Dish End thcikness mm 12.0 inch
Dish End OD mm 2024 inchStraight Face SF mm 50.0 inchKnuckle Radius Kr mm 344.1 inch
Shell thickness mm 14.0 inchCalculation of maximum operating weight
Dish End Blank Dia mm 2402 inchDish End Weight kg 435 lbShell Weight kg 7086 lbEmpty vessel weight kg 7956 lbDish end volume m3 1.2 ft3Shell volume m3 31.4 ft3Total vessel volume m3 33.8 ft3
Hydrostatic wt of vessel kg 41781 lb
Consider saddle dimensions as highlighted in the saddle tableSaddle angle Deg 120A/L ratio to be considered A/L 0.2Shell Overhang beyond saddle A mm 2000 ft
Distance between saddles mm 6000 ftDimension B (CL Height from base) B mm 1295 inchBase Plate Width F mm 203 inchSaddle width b mm 178 inch
Wear Plate thickness mm 14Wear Plate Width mm 370
Stiffener ring cross section area mm2 4340
Stiffener ring moment of inertia mm4 8107447 Seismic Load EstimationHorizontal seismic factor Ch (Procedure 3-3)Importance factor I 1.0
Pe
Di
Rm
Fy
th
Do dish
ts
Dblank
Wo
Ls
tw
Ar
I1
Coefficent (max value from Table 3-9a) 0.36
Coefficent (max value from Table 3-9b) 0.84
Coefficiecnt for self supported 2.9Period of Vibration T NAShear Load 1 V1 kg 8423 lbShear Load 2 V2 kg NAShear Load 3 V3 kg 12966Max shear load V kg 6016
Horizontal Seismic factor 0.14
Seimic Load (longitudinal) kg 6016
Seimic Load (transverse) kg 3008
Wind Load EstimationHorizontal seismic factor Ch (Procedure 3-3)
Shell ID mm 2000 inchEffective diameter factor from table 3-22 1.3
mm 2560 ft
Area 5.1
Factor 0.80Factor G 0.85
Factor from Table 3-23 0.85Factor I 1.15Basic wind speed from IS 875 V m/s 47 mph
velocity pressure 135.2 psf
Area Af m2 28.5 ft2
wind Load (Longitudinal) kg 473 lb
wind Load (transverse) kg 1310 lb
Maximum Londitudinal load kg 6016 lb
Maximum Transverse load kg 3008 lb
Longitudinal Q1 kg 22189 lb
Transverse Q2 kg 22839 lbTotal saddle reaction force Q kg 22839 lb
Longiudinal Bending
Moment at Saddle kg m 131521 lb ftFactor k1 from Table k1 0.335
Bending stress in tension w/o stiffener 27.7Factor k7 from Table k7 0.603
Bending stress compression w/o stiffener -15.4
Ca
Cv
Rw
Ch
FL
Ft
Di
De
Ai m2 ft2
Cf
Kz
qz kg/m2
Af
FL
Ft
FL
Ft
Q1
Q2
M1
S1 kg/mm2
S2 kg/mm2
Bending stress with stiffener 3.0
Moment at midspan kg m 97789
Bending stress at midspan 2.2Tangential Shear
Tangential shear (Stiffened shell) 0.3Factor k2 from Table k2 1.171
Tangential shear ( shell not stiffened) 1.1Factor k3 from Table k3 0.880
Tangential shear ( shell not stiffened) NA
Tangential shear ( shell not stiffened) 0.0Circumferential BendingA/R ratio 2.0
k6 0.053
At saddle horn (shell not stiffened) -10.4
At saddle horn (shell not stiffened) NAAdditional Tension Stress in HeadFactor k4 from Table k4 0.401
Stress 0.0Circumferential Tension / CompressionFactor k5 from Table k5 0.760
Circumferential Compression -2.8Factor k8 from Table k8 0.340Factor k9 from Table k9 0.053
Circ Stress in shell with stiffener -10.9
Compressive stress in stiffener -10.9Pressure Stresses
3.8
7.6
0.4
4.7
7.6Combined Stress Table
Tension CompressionFormula Value Result Formula Value Result
Actual Allowed Actual Allowed
31.5 14.1 Unsafe 15.0 14.1 Unsafe
6.8 14.1 Safe -3.3 14.1 Safe
6.0 14.1 Safe -2.6 14.1 Safe
7.6 17.6 Safe 10.5 13.3 Safe
S3 kg/mm2
M2
S4 kg/mm2
S5 kg/mm2
S6 kg/mm2
S7 kg/mm2
S8 kg/mm2
Factor k6 from graph for A/R and S9 kg/mm2
S10 kg/mm2
S11 kg/mm2
S12 kg/mm2
S13 kg/mm2
S14 kg/mm2
x kg/mm2
kg/mm2
e kg/mm2
s kg/mm2
h kg/mm2
S1 + x -S2 - e
S3 + x -S3 - e
S4 + x -S4 - e
S11 + h -S13 - e
-3.2 21.1 Safe 10.5 23.9 SafeS13 + -S14 - e
Value
6.6
32.8Shell Stiffener Dimensions
1 No at each saddle all round the shell
1.9 14
0.5
79.72.0 120
13.5
0.6 14190
94.6957
155901750442.5
1108.61193.6
91917
0.26.6
19.75187
0.6
1
0.36
0.84
18531
13236
0.144
13236
6618
78.71.28
8.4
55.4
0.800.85
0.851.15105
27.6
306.7
1041
2883
13236
6618
48816
5024550245
949301
Confirms stiffeners are required.
For plate thickness less than 25 mm / 1.0 inch
Blank Diameter = D + (D/42) + (2*S.F)+ ((2/3) * Kr)
For plate thickness equal or more than 25 mm / 1.0 inchBlank Diameter = D + (D/42) + (2*S.F) + ((2/3) * Kr)+ thk
where,D = Outside Diameter of Ellipsoidal Head
Kr = 0.17*D = Knuckle Radiusthk = Thickness of Head
S.F. = Straight Face
Ellipsoidal Head Volume = (π * D³ )/ 24 + (π* D² * S.F )/ 4
where,
π = 3.141D = Inside Diameter of Ellipsoidal HeadS.F. = Straight Face
HEAD VOLUME