15000 mm 15000 mm 30000 mm 2000 mm 320000 kg 1.5 480000 kg AXIS 0 0.000 1.000 240000 240000 0 240000 240000 120000 0 120000 5 0.087 0.996 238608 237700 20796 238608 241392 120237 10519 120696 10 0.174 0.985 237212 233608 41191 237212 242788 119550 21080 121394 15 0.259 0.966 235788 227754 61026 235788 244212 117945 31603 122106 20 0.342 0.940 234314 220184 80140 234314 245686 115434 42015 122843 25 0.423 0.906 232764 210956 98370 232764 247236 112036 52243 123618 30 0.500 0.866 231105 200143 115552 231105 248895 107775 62224 124448 35 0.574 0.819 229296 187829 131519 229296 250704 102682 71899 125352 40 0.643 0.766 227286 174111 146096 227286 252714 96795 81221 126357 45 0.707 0.707 225000 159099 159099 225000 255000 90156 90156 127500 50 0.766 0.643 222335 142914 170319 222335 257665 82812 98691 128832 55 0.819 0.574 219136 125691 179506 219136 260864 74813 106844 130432 60 0.866 0.500 215156 107578 186331 215156 264844 66211 114681 132422 65 0.906 0.423 209980 88741 190306 209980 270020 57058 122361 135010 70 0.940 0.342 202846 69377 190613 202846 277154 47396 130220 138577 75 0.966 0.259 192184 49741 185635 192184 287816 37246 139004 143908 80 0.985 0.174 174155 30242 171509 174155 305845 26555 150599 152923 85 0.996 0.087 136209 11871 135690 136209 343791 14982 171242 171896 90 1.000 0.000 0 0 0 0 480000 0 240000 240000 MAX. 240000 240000 190613 480000 120237 240000 kg kg kg kg kg kg TOTAL RADIAL (fr) AXIAL (fL) TOTAL LIFT (P) LIFT ANALYSIS
L2(liftig lug to vessel C.G.) L3(Vessel C.G. to tailing lug) L1=L2+L3
DEG SIN (ø) COS(ø) TAIL (T)
TANGE NTIAL (PT) AXIAL (PL) Impact factor
W(with Impact Factor)
REACTION
TAILING LUG LIFTING LUG / TRUNION L4(Vessel center line to tailing lug hole)
CALCULATION OF CENTROID AND MOM OF INERTIA OF A SKIRT ANCHOR CHAIR Lg 180 tb 50 Dsk 5528 tsk 14 lr=(lg-tb)+0.55*(Dsk*tsk)^0.5 283 Lr 500 Area Mark Bread th depth Area Y dist.from base a*y C1=(Sa*y)/ Sa h dist.from centroid h^2 a*h^2 Ig= b*d^3/12
1 19 85 1.62E+03 42.5 6.86E+04 65.38 4275 6.90E+06 9.72E+05
2 500 10 5.00E+03 90 4.50E+05 17.88 320 1.60E+06 4.17E+04
3 38 115 4.37E+03 152.5 6.66E+05 44.62 1991 8.70E+06 4.82E+06
210 1.10E+04 1.19E+06 1.72E+07 5.83E+06
CENTROID = C1 107.88
C2 102.12
Moment of Inertia =Ig sum 5.83E+06
Ixs= sum of Ig+ sum of a*h^2 2.30E+07 Sec. modulus 1= Ixs/C1 213500 Sec. modulus 2= Ixs/C2 225543
all Dimensions are in mm
BOLD indicate input
Lg 162 tb 32 Dsk 5528 tsk 14 lr=(lg-tb)+0.55*(Dsk*tsk)^0.5 283 Lr 500 Area
Mark Breadth depth Area
Y dist.from base a*y C1=(Sa*y )/Sa h dist.from centroid 1 19 115 2185 57.5 1.256E+05 102.18 2 19 115 2185 57.5 1.256E+05 102.18 3 500 10 5000 120 6.000E+05 37.68 4 19 85 1615 167.5 2.705E+05 7.82 5 28 250 7000 250 1.750E+06 35.32 575 17985 2.872E+06 CENTROID = C1 159.68 C2 215.32
Moment of Inertia =Ig sum 42288468.8
Ixs= sum of Ig+ sum of a*h^2 103842357.0
Sec. modulus 1= Ixs/C1 650328
Sec. modulus 2= Ixs/C2 482263
all Dimensions are in mm
BOLD indicate input
159.68
h^2 a*h^2 Ig= b*d^3/12 10440.10 2.281E+07 2.408E+06 10440.10 2.281E+07 2.408E+06 1419.54 7.098E+06 4.167E+04 61.20 9.884E+04 9.724E+05 1247.73 8.734E+06 3.646E+07 6.155E+07 4.229E+07
for three point
MATERIAL :
MATERIAL : SA 285 GR C
2109 kg/cm²
Sba - ALLOW.BENDING STRESS = 0.66 x Ys 1391.94 kg/cm²
F2 - MAXIMUM LOAD (in horiz. position) : 16198 kg
Z - SECTION MODULUS OF BASE RING+SKIRT 213500 mm3
2830 mm 1625 mm
602768 kg-mm
BENDING STRESS IN BASE RING = BM / Z 282.33 kg/cm²
SAFE MATERIAL : SA 36 H 200*200*12*12 YIELD (Ys): 2530 kg/cm² 1669.8 kg/cm² 479221.76 mm3 479221.76 mm3 7337.69 kg L : 200 mm 306.23 kg/cm2 safe
HENCE BRACING BEAM OF HE 200 B OR OF EQUIVALENT IS PROVIDED.
(0.0229 = Internal moment Coefficient for Base Ring for 3 point lifting at Zero deg)
HENCE BASE RING IS SAFE WITH ADDITIONAL STIFFENING BEAM.
MAXIMUM LOAD F2 : (0.453*T) FOR 3 BEAM CONST Di - INSIDE DIAMETER OF BASERING
Rm - MEAN RADIUS OF SECTION
BM - MAX.BENDING MOMENT PRODUCED AROUND RING F2 x Rm x 0.0229
SECTION MODULUS OF BEAM :
MAX.BENDING STRESS (F2*L/Z) :
CHECK FOR SUFFICIENCY OF BRACING BEAM
STIFFNER BEAMS PROVIDED AS INDICATED ABOVE WITH THE TAILING LUG TAILING BEAM SIZE SELECTED
ALLOW.BENDING STRESS (Sba = 0.66 Ys) : SECTION MODULUS OF BEAM (Z) :
BASE RING
(Refer Procedure 7-5 of Pressure Vessel Design Manual by Dennis R Moss.)
Ys - YIELD STRESS Ys - YIELD STRESS Skirt Bracing
Tailing Lug
Rm
Dist from N.Axis from CL T
for two point
MATERIAL :
MATERIAL : SA 285 GR C
2109 kg/cm²
Sba - ALLOW.BENDING STRESS = 0.66 x Ys 1391.94 kg/cm²
F2 - MAXIMUM LOAD (in horiz. position) : 31290 kg
Z - SECTION MODULUS OF BASE RING+SKIRT 650328 mm3
5630 mm 3025 mm
7524854 kg-mm
BENDING STRESS IN BASE RING = BM / Z 1157.09 kg/cm²
SAFE MATERIAL : SA 36 H 250*250*9*14 YIELD (Ys): 2530 kg/cm² 1669.8 kg/cm² 846305 mm3 846305 mm3 15645.00 kg L : 250 mm 462.16 kg/cm2 safe
HENCE BRACING BEAM OF HE 200 B OR OF EQUIVALENT IS PROVIDED.
BASE RING
(Refer Procedure 7-5 of Pressure Vessel Design Manual by Dennis R Moss.)
Ys - YIELD STRESS
Ys - YIELD STRESS
MAX.BENDING STRESS (F2*L/Z) :
ALLOW.BENDING STRESS (Sba = 0.66 Ys) : SECTION MODULUS OF BEAM :
SECTION MODULUS OF BEAM (Z) :
MAXIMUM LOAD F2 : (0.5*T) FOR 1 BEAM CONST Di - INSIDE DIAMETER OF BASERING
Rm - MEAN RADIUS OF SECTION
BM - MAX.BENDING MOMENT PRODUCED AROUND RING F2 x Rm x 0.0795
(0.0795 = Internal moment Coefficient for Base Ring for 2 point lifting at Zero deg)
HENCE BASE RING IS SAFE WITH ADDITIONAL STIFFENING BEAM.
STIFFNER BEAMS PROVIDED AS INDICATED ABOVE WITH THE TAILING LUG TAILING BEAM SIZE SELECTED
CHECK FOR SUFFICIENCY OF BRACING BEAM
Skirt Bracing Tailing Lug
Rm
Dist from N.Axis from CL
MATERIAL :
Sba - ALLOW.BENDING STRESS = 0.66 x Ys F2 - MAXIMUM LOAD (in horiz. position) : Z - SECTION MODULUS OF BASE RING+SKIRT
BM =
BENDING STRESS IN BASE RING = BM / Z
BASE RING ADEQUACY
(For One Point)
(Refered Procedure 7-5 of Pressure Vessel Design Manual by Dennis R Moss.)
(0.2387 = Internal moment Coefficient for Base Ring for One point lifting at Zero deg)
HENCE BASE RING IS UNSAFE WITHOUT ADDITIONAL STIFFENING BEAM
Ys - YIELD STRESS
Di - INSIDE DIAMETER OF BASERING Rm - MEAN RADIUS OF SECTION
BM - MAX.BENDING MOMENT PRODUCED AROUND RING
IS 2062 GR B 2249 kg/cm² 1484.34 kg/cm² 86274 kg 766398 mm3 3640 mm 1111.45 mm F2 x Rm x 0.2387 22888761 kg-mm 2986.54 kg/cm² UNSAFE
(For One Point)
(Refered Procedure 7-5 of Pressure Vessel Design Manual by Dennis R Moss.)
(0.2387 = Internal moment Coefficient for Base Ring for One point lifting at Zero deg)
WO (Erection weight) 320000 kg
Impact factor 2
WL (with impact factor) 640000 kg
CG(distance from bottom) 15000 mm
Distance between tail lug hole to bottom 100 mm Distance between lift lug hole to bottom 30000 mm Distance from C.G. to tailing lug hole (L3) 14900 mm Distance from lifting lug hole to C.G. (L2) 15000 mm Distance from vessel centerline to tailing lug hole (L4) 2000 mm Distance between lifting lug hole to tailing lug hole (L1) 29900 mm
FORCE WHILE LIFTING
ϴ (DEG) SIN(ϴ) COS(ϴ) LL (P) LV (PT) LH (PL) TL (T) TV (fr) TH (fL)
=Pcosϴ =Psinϴ =Tcosϴ =Tsinϴ
0 0.000 1.000 318930 318930 0 321070 321070 0 5 0.087 0.996 320798 319577 27959 319202 317988 27820 10 0.174 0.985 322672 317770 56031 317328 312507 55103 15 0.259 0.966 324583 313523 84008 315417 304669 81636 20 0.342 0.940 326561 306867 111690 313439 294537 107203 25 0.423 0.906 328641 297850 138890 311359 282187 131586 30 0.500 0.866 330868 286540 165434 309132 267716 154566 35 0.574 0.819 333295 273019 191170 306705 251238 175919 40 0.643 0.766 335993 257385 215972 304007 232883 195412 45 0.707 0.707 339060 239751 239751 300940 212797 212797 50 0.766 0.643 342635 220241 262473 297365 191143 227795 55 0.819 0.574 346927 198989 284186 293073 168100 240072 60 0.866 0.500 352266 176133 305071 287734 143867 249185 65 0.906 0.423 359208 151808 325553 280792 118668 254484 70 0.940 0.342 368775 126128 346535 271225 92764 254868 75 0.966 0.259 383069 99146 370016 256931 66499 248176 80 0.985 0.174 407231 70715 401044 232769 40420 229233 85 0.996 0.087 458044 39921 456301 181956 15858 181263 90 1.000 0.000 640000 0 640000 0 0 0 MAX. 640000 319577 640000 321070 321070 254868
WO (Erection weight) 320000 kg
Impact factor 2
WL (with impact factor) 640000 kg CG(distance from bottom) 7500 mm Distance between tail lug hole to bottom 100 mm Distance between lift lug hole to bottom 14750 mm Distance from C.G. to tailing lug hole (L3) 7400 mm Distance from lifting lug hole to C.G. (L2) 7250 mm Distance from vessel centerline to tailing lug hole (L4) 2800 mm Distance between lifting lug hole to tailing lug hole (L1) 14650 mm
w 42.67 kg/mm
L (dist. Of top of the vessel to mid of the span) 7500 mm H (Height of the vessel) 15000 mm Allowable bending stress in shell 1764 kg/cm² Allowable tensile stress in shell 1406 kg/cm²
Do (vessel OD) 5010 mm
Di (vessel ID) 5000 mm
Z 9.83E+07 mm^3
A 78618 mm^2
ϴ (DEG) SIN(ϴ) COS(ϴ) LL (P) LV (PT) LH (PL) TL (T) TV (fr) TH (fL) Sb Sac Sat Sc St Bend st =Pcosϴ =Psinϴ =Tcosϴ =Tsinϴ
0 0.000 1.000 323276 323276 0 316724 316724 0 11.884 0.000 0.000 11.884 11.884 11.639 5 0.087 0.996 328485 327235 28629 311515 310329 27150 12.226 0.345 0.364 12.571 12.590 11.985 10 0.174 0.985 333602 328534 57929 306398 301743 53205 12.462 0.677 0.737 13.138 13.199 12.233 15 0.259 0.966 338706 327165 87664 301294 291027 77981 12.590 0.992 1.115 13.582 13.705 12.381 20 0.342 0.940 343876 323138 117613 296124 278265 101280 12.610 1.288 1.496 13.899 14.106 12.428 25 0.423 0.906 349194 316477 147576 290806 263560 122900 12.522 1.563 1.877 14.085 14.399 12.372 30 0.500 0.866 354753 307225 177376 285247 247032 142624 12.324 1.814 2.256 14.138 14.580 12.214 35 0.574 0.819 360660 295435 206866 279340 228822 160223 12.018 2.038 2.631 14.056 14.649 11.953 40 0.643 0.766 367050 281177 235935 272950 209091 175449 11.603 2.232 3.001 13.835 14.604 11.591 45 0.707 0.707 374097 264527 264527 265903 188022 188022 11.082 2.392 3.365 13.474 14.447 11.127 50 0.766 0.643 382035 245567 292656 257965 165817 197613 10.454 2.514 3.722 12.968 14.177 10.562 55 0.819 0.574 391191 224378 320445 248809 142711 203813 9.720 2.592 4.076 12.312 13.796 9.895 60 0.866 0.500 402048 201024 348184 237952 118976 206072 8.878 2.621 4.429 11.499 13.307 9.126 65 0.906 0.423 415353 175536 376438 224647 94940 203599 7.923 2.590 4.788 10.513 12.711 8.247 70 0.940 0.342 432328 147865 406256 207672 71028 195148 6.845 2.482 5.167 9.327 12.012 7.246 75 0.966 0.259 455138 117798 439629 184862 47846 178563 5.620 2.271 5.592 7.891 11.212 6.093 80 0.985 0.174 488016 84743 480602 151984 26392 149675 4.196 1.904 6.113 6.100 10.309 4.716 85 0.996 0.087 540545 47112 538488 99455 8668 99077 2.447 1.260 6.849 3.707 9.297 2.917 90 1.000 0.000 640000 0 640000 0 0 0 0.000 0.000 8.141 0.000 8.141 0.000 MAX. 640000 328534 640000 316724 316724 206072 12.610 2.621 8.141 14.138 14.649 12.428 Maximum Bending stress = 1242.8 kg/cm² Safe
Maximum stress = 1464.9 kg/cm² Unsafe
7550 1.4 10570 2 5285 572 98 165 40 145 427 455 305 405 735 635
Bearing pad Diameter (S) = (mm) 205
Bearing Pad THK (t) = (mm) 40
50 75 SA 516 GR 70
Yield Strenght at Room Temp Sy = 2672 kg/cm²
Sa = 1406 Sa 1406 kg/cm² 0.8 Sy 2137.6 kg/cm² 0.4 Sy 1068.8 kg/cm² 0.66 Sy 1763.52 kg/cm² 9280 mm² 56.95 kg/cm² SAFE 24600.00 mm² 21.48 kg/cm² SAFE Shear Area 2T x (√[R² - (D/2)²]) 12604.51 mm² 41.93 kg/cm² SAFE 45623 Kg 647 mm 29518081 kg-mm 2688167 mm3 1098.07 kg/cm² SAFE 0.55*Sa= 773.30 kg/cm² 74.72 mm E = (mm) b+a+H = (mm) LUG DIMENSIONS D = (mm) H = (mm)
LIFTING LUG CALCULATIONS
A = (mm) B = (mm) R = (mm) T = (mm) Calculation based on Procedure 7-6 of Vessel Design Manual by Moss
Erection Weight (Kg) Impact factor for Lifting Total Lifting Wt. (Kg) No. of Lifting Lug
Load on one Lifting lug PL (Kg)
Lifting Lug Material
Allowable Tensile ( St ) Allowable Bearing Allowable Bending Stress Code Allowable Stress
Tensile Stress Induced Bearing Area = D x (T + 2t) Bearing Stress Induced
f =(mm)
INDUCED STRESSES IN LIFTING LUG
Tensile str area of Lug [ 2R - D] x T
Allowable Shear
Max Load normal at Lifting Lug (PT) = (Refer Calculated Max Load during lifting) Shear Stress Induced
Maximum Moment Arm (L2=C+b) Bending Moment (M=P*L2) Sec Modulus
c=(H^2/(W+2*H)) Bending Stress Induced WELD CHECK Allowable Weld Shear
Location of CG (Long) from bot of lug (c ) = CHECKING LUG WELDS
W = (mm)
a = (mm) b = (mm)
94793495.36 mm3 23.34 Kg/mm 102.77 Kg/mm 136.12 Kg/mm 185.56 Kg/mm 34 mm 24.04 mm 771.82 kg/cm² SAFE 849.5 mm 38756739 kg-mm 246924000.00 mm3 28 mm 20.01 Kg/mm 31.78 Kg/mm 63.57 Kg/mm 82.00 Kg/mm 20 mm 14.14 mm 579.81 kg/cm² SAFE fc = sqrt ((f1+f2)^2+f3^2)
Hence Provided Leg to Pad/ Shell fillet size is safe Throat unit area (w)
Maximum Shear Stress = fc / w Fillet Size
Polar Moment of Inertia (Jw) =
Finding Shear Loads on Weld
f3 = (C+b+a+H-c)*P*H/Jw f1 = P / (2*H + 2*H + W+2*a) f2 = [(C+b+a+H-c)*P*(H-c)] / Jw
Jw=((W+2*H)^3/12)-(H^2(W+H)^2/(W+2H))
i) Transverse Shear due to P (f1) = ii) Transverse Shear due to M (f2) = iii) Longitudinal Shear due to M (f3) =
iv) Combined Load (fc) = Fillet Size
Hence Provided Leg to Pad/ Shell fillet size is safe CHECKING PAD WELDS
Throat unit area (w)
Maximum Shear Stress = fc / w
i) Transverse Shear due to P (f1) = ii) Transverse Shear due to M (f2) =
f3 = M1*A/Jw
iii) Longitudinal Shear due to M (f3) = f2 = 0.5*M1*A / Jw
iv) Combined Load (fc) = fc = sqrt ((f1+f2)^2+f3^2)
f1 = P / (2*A + 2*B)
Finding Shear Loads on Weld
Maximum Moment Arm (L1=C+b+0.5A) = Polar Moment of Inertia (Jw=(A+B)^3/6) = Bending Moment (M1=P*L1) =
kg / kg-mm N / N-m 39897314 391261 45623 447412 7550 74041 FC = P LOCAL LOADS
Vessel is horizontal position : MT = [ H+F+E-(h2/2) ]xP
FL = PL Vessel is vertical position :
LOADS
AXIAL LOAD / TAILING LUG Kg
RADIAL LOAD / TAILING LUG Kg
TAILING LUG CALCULATION:
MATERIAL: Sa = 1049 kg/cm² YEILD STRES S (Sy) TENSILE SHEAR (0.4 * Sy) BENDIN G (0.66 * Sy) WELD SHEAR (0.55*Sa) ALLOWABLE STRESS ( kg/cm² ) 2249 1049 899.6 1484.34 576.95
TAILING LUG DIMENSIONS: (…mm) (MIN.) H - DEPTH 284
M - MOMENT ARM 92
D - PIN HOLE DIA 75
T - THK. 32
R - RADIUS OF TAILING LUG 142 D' - DIAMETER OF BEARING PAD 150
T' - THK OF BEARING PAD 16
WIDTH mm 284
THK mm 32
AREA mm² 18176
STRESS: kg/cm² 463.15
safe
CHECK ON SEC 'BB' IN SHEAR: (LOAD CASE B)
SEC. WIDTH ( w' ) mm 136.96
TAILING LUG ANALYSIS
IS 2062 GR B
CHECK ON SEC 'AA' IN TENSION: (LOAD CASE B) (Refer calculated maximum reaction values in lifting analysis) MAX TENSION MAX BENDING CASE B CASE A WITH IMPACT 68192 84182 H M (When no continuous ring)
D R B A A C B C ` M C
THK ( T + 2 * T' ) mm 64 AREA ( 2 x w' x (T + 2 * T' ) mm² 17530.74 STRESS: kg/cm² 480.20
safe
WIDTH mm 75 THK (T + 2 * T' ) mm 64 PROJECTED AREA mm² 4800 STRESS: kg/cm² 1420.67safe
ALLOWABLE STRESS (0.8 x Sy) kg/cm² 1799.2
DEPTH mm 284 WIDTH mm 64 MOMENT ARM mm 92 AREA mm² 18176 SECTION MODULUS mm3 860330.6667 BENDING MOMENT kg-mm 6273664 BENDING STRESS kg/cm² 729.22 TENSILE STRESS kg/cm² 463.15
TOTAL STRESS kg/cm² 1192.36
safe
TAILING LUG WELD CHECKING
TAILING LUG HEIGHT @ SKIRT WELD H1 284 mm
BASERING O/D Db 3630 mm
SKIRT O/D Ds 3250 mm
LENGTH OF WELD ON ONE SIDE 474 mm
TOTAL LENGTH OF WELD L = 2 x L1 948 mm
WELD FILLET SIZE f 14 mm
THROAT AREA OF FILLET w f / SQRT(2) 9.90 mm
TOTAL AVAILABLE AREA OF WELD A w x L 9384.7212 mm²
LOAD ON TAILING LUG WD 84182 Kg
ALLOWABLE SHEAR STRESS IN WELD Ssa = 0.4 x Sy 899.6 Kg/cm² (Eq. to Tailing Lug Material.)
REQUIRED AREA OF WELD :
LOAD CASE 'D' Ar WD/Ssa 9357.71454 mm²
safe
CHECK ON SEC 'CC' IN BENDING: (LOAD CASE A)
Therefore weld provided between Tailing Lug & Skirt is safe. CHECK ON PIN HOLE BEARING AREA (LOAD CASE B)
Tailing Beam if req
0.932787 [(actual bending stress/ allowable
bending stress) + (actual tensile stress/ allowable tensile
No. of Tailing lugs 1
IMPACT FACTOR 1.4
LOADS
WITHOUT WITH WITHOUT WITH
IMPACT IMPACT IMPACT IMPACT
AXIAL LOAD / TAILING LUG Kg 66755 93457 0 0
RADIAL LOAD / TAILING LUG Kg 86274 120783.6 86274 120783.6
TAILING LUG CALCULATION:
MATERIAL: Sa = 1049 kg/cm² YEILD STRES S (Sy) TENSILE (0.6 * Sy) SHEAR (0.4 * Sy) BENDIN G (0.66 * Sy) WELD SHEAR (0.55*Sa) ALLOWABLE STRESS ( kg/cm² ) 2249 1349.4 899.6 1484.34 576.95
TAILING LUG DIMENSIONS: (…mm) (MIN.) H - DEPTH 327
M - MOMENT ARM 95
D - PIN HOLE DIA 75
T - THK. 32
R - RADIUS OF TAILING LUG 163.5 D' - DIAMETER OF BEARING PAD 150
T' - THK OF BEARING PAD 16
WIDTH mm 327
THK mm 32
AREA mm² 10464
STRESS: kg/cm² 1154.28
safe
TAILING LUG ANALYSIS
IS 2062 GR B
CHECK ON SEC 'AA' IN TENSION: (LOAD CASE B) (Refer calculated maximum reaction values in lifting analysis)
CASE A CASE B
MAX BENDING MAX TENSION
H M (When no continuous ring)
D R B A A C B C ` M C
CHECK ON SEC 'BB' IN SHEAR: (LOAD CASE B) SEC. WIDTH ( w' ) mm 159.14 THK ( T + 2 * T' ) mm 64 AREA ( 2 x w' x (T + 2 * T' ) mm² 20370.11 STRESS: kg/cm² 592.95
safe
WIDTH mm 75 THK (T + 2 * T' ) mm 64 PROJECTED AREA mm² 4800 STRESS: kg/cm² 2516.33unsafe
ALLOWABLE STRESS (0.75 x Sy) kg/cm² 1686.75
DEPTH mm 327 WIDTH mm 32 MOMENT ARM mm 95 AREA mm² 10464 SECTION MODULUS mm3 570288 BENDING MOMENT kg-mm 8878415 BENDING STRESS kg/cm² 1556.83 TENSILE STRESS kg/cm² 1154.28
TOTAL STRESS kg/cm² 2711.11
unsafe
TAILING LUG WELD CHECKING
TAILING LUG HEIGHT @ SKIRT WELD H1 327 mm
BASERING O/D Db 4174 mm
SKIRT O/D Ds 3924 mm
LENGTH OF WELD ON ONE SIDE 452 mm
TOTAL LENGTH OF WELD L = 2 x L1 904 mm
WELD FILLET SIZE f 16 mm
THROAT AREA OF FILLET w f / SQRT(2) 11.31 mm
TOTAL AVAILABLE AREA OF WELD A w x L 10227.59248 mm²
LOAD ON TAILING LUG : LOAD CASE 'B' WD 120783.6 Kg
ALLOWABLE SHEAR STRESS IN WELD Ssa = 0.4 x Sy 899.6 Kg/cm² (Eq. to Tailing Lug Material.)
REQUIRED AREA OF WELD :
LOAD CASE 'D' Ar WD/Ssa 13426.36727 mm²
unsafe
CHECK ON SEC 'CC' IN BENDING: (LOAD CASE A)
Therefore weld provided between Tailing Lug & Skirt is safe. CHECK ON PIN HOLE BEARING AREA (LOAD CASE B)
Tailing Beam if req
1.904237 [(actual bending stress/ allowable
bending stress) + (actual tensile stress/ allowable tensile
7550 1.4 10570 2 5285 60 100 20 200 159.5 200 130 0 0 SA 516 GR 70 Sy = 2672 kg/cm² Sa 1406 kg/cm² 0.8 Sy 2137.6 kg/cm² 0.4 Sy 1068.8 kg/cm² 0.66 Sy 1763.52 kg/cm² Sa 1406 2800 mm² 188.75 kg/cm² SAFE 1200.00 mm² 440.42 kg/cm² SAFE Shear Area = 2T x (√[R² - (d/2)²]) 3815.76 mm² 138.50 kg/cm² SAFE 79625 Kg 200 mm 15925000 kg-mm 133333 mm3 11943.75 kg/cm² UNSAFE 0.55*Sa= 773.30 kg/cm² 36.74 mm 4110442.03 mm3 110.59 Kg/mm 361.32 Kg/mm 503.66 Kg/mm
Impact factor for Lifting Total Lifting Wt. (Kg) No. of Lifting Lug
LIFTING LUG CALCULATIONS
Calculation based on Procedure 7-6 of Vessel Design Manual by Moss
Erection Weight (Kg)
Load on one Lifting lug PL (Kg) LUG DIMENSIONS
d = (mm)
h2 = (mm) A = (mm) B = (mm) Lifting Lug Material
R = (mm) T = (mm) H= (mm) E = (mm)
Sec Modulus
Yield Strenght at Room Temp Allowable Tensile ( St ) Allowable Bearing Allowable Bending Stress
INDUCED STRESSES IN LIFTING LUG
Tensile str area of Lug = [ 2R - d] x T
Allowable Shear
c=(h2^2/(2*h2+2*R)) Tensile Stress Induced Bearing Area (= d x T) Bearing Stress Induced
Max Load normal at Lifting Lug (P) = (Refer Calculated Max Load during lifting) Shear Stress Induced
Maximum Moment Arm (L2=H) Bending Moment (M=P*L2)
f2 = M*(h2-c) / Jw
Jw=(((2*R+2*h2)^3/12)-(h2^2(2*R+h2)^2/(2*R+2*h2))
i) Transverse Shear due to P (f1) = Bending Stress Induced
WELD CHECK Allowable Weld Shear
Location of CG (Long) from bot of lug (c ) = CHECKING LUG WELDS
ii) Transverse Shear due to M (f2) = iii) Longitudinal Shear due to M (f3) = Polar Moment of Inertia (Jw) =
Finding Shear Loads on Weld f1 = (P / (2*R + 4* h2))
F=(mm) H
F
690.19 Kg/mm 35 mm 24.75 mm 2788.80 kg/cm² UNSAFE 559.5 mm 44550188 kg-mm 0.00 mm3 22 mm #DIV/0! Kg/mm #DIV/0! Kg/mm #DIV/0! Kg/mm #DIV/0! Kg/mm 22 mm 15.56 mm #DIV/0! kg/cm² #DIV/0! kg / kg-mm N / N-m 39374563 386135 79625 780859 7550 74041 FC = P LOCAL LOADS fc = sqrt ((f1+f2)^2+f3^2) Fillet Size
Throat unit area (w)
Maximum Shear Stress = fc / w
FL = PL iv) Combined Load (fc) =
fc = sqrt ((f1+f2)^2+f3^2) f3 = M*h2/Jw
Fillet Size
Hence Provided Leg to Pad/ Shell fillet size is safe CHECKING PAD WELDS
Throat unit area (w)
Maximum Shear Stress = fc / w
ii) Transverse Shear due to M (f2) = f1 = (P / (2*A + 2* B))
Finding Shear Loads on Weld Maximum Moment Arm (L1=H+F+E) = Polar Moment of Inertia (Jw=(A+B)^3/6) = Bending Moment (M1=P*L1) =
Lifting Lug pad thickness =
Vessel is vertical position :
Hence Provided Leg to Pad/ Shell fillet size is safe
Vessel is horizontal position : MT = [ H+F+E-(h2/2) ]xP
iii) Longitudinal Shear due to M (f3) = f2 = 0.5*M1*B / Jw
f3 = M1*B/Jw
iv) Combined Load (fc) = i) Transverse Shear due to P (f1) =
2
Without Without Without Without Impact Impact Impact Impact
Axial Load Kg 0 0 21000 42000 Tangential Load Kg 20000 40000 0 0 Sa 1104 Kg/cm² MATERIAL: Yield Stress (Sy) Tensile (0.6 * Sy) Shear (0.4 * Sy) Bending (0.66 * Sy) Weld Shear (0.55*Sa) ALLOWABLE STRESS (Kg/cm²) 2672 1603.2 1068.8 1763.52 607.2 DIMENSIONS ID OF TRUNNION mm 288.89 THK OF TRUNNION mm 17.48 OD OF TRUNNION mm 323.85
CROSS SECTION AREA mm^2 16824.32
SECTION MODULUS mm^3 1223031.32
STRESSES IN TRUNNION
MOMENT ARM mm 500
BENDING MOMENT Kg-mm 21000000
BENDING STRESS Kg/cm² 1717.05 safe
SHEAR STRESS IN TRUNNION (LOAD CASE D) Kg/cm² 249.64 safe
SHEAR STRESS IN WELD Kg/cm^2 249.64 safe
RF PAD THK. mm 18
RF PAD DIAMETER mm 550
392268 N
0 N
CIRECUMFERENTIAL MOMENT 500 mm Moment arm 196134 N-m
0 N-m
411882 N
205941 N-m LONGITUDINAL MOMENT
CASE D: (AXIS VERTICAL) LONGITUDINAL MOMENT
LONGITUDINAL SHEAR
Axis Vertical
LONGITUDINAL SHEAR
SA 516 Gr.70
LIFTING TRUNNION ANALYSIS
Case C
(Refer calculated maximum reaction values in lifting analysis)
VALUES USED FOR LOCAL LOAD CALCULATION:
CHECK TRUNNION TO SHELL ATTACHMENT WELD FOR SHEAR (LOAD CASE D) IMPACT FACTOR
BENDING STRESS IN TRUNNION (LOAD CASE D)
Case D LOADS
CIRECUMFERENTIAL SHEAR CASE C: (AXIS HORIZONTAL)