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KNM STEEL CONSTRUCTION SDN. BHD.
VENDOR DOC. NO.: K99087-E-C-006
200140X
Page 42
DESIGN CALCULATION FOR C-2432 C2C SUCTION DRUM 2ND STAGE
APPROVED
WITH COMMENT
REVIEWED
RESUBMIT
This approval or review does not relieve the vendor / subcontractor of his responsibilities to meet all requirements of the contract ORIGINAL
CHECKED
APPD (PRJ.)
SIGN DATE SAMSUNG ENGINEERING CO., LTD.
0
7/18/2013
FOR APPROVAL
REV.
ISSUE DATE
DESCRIPTION
PROJECT NAME SECL JOB NO. REQUISITION NO. LETTER OF INTENT NO.
: : : :
WINSON LIM
KS LAW
TC MOK
PREPARED BY CHECKED BY APPROVED BY
MALAYSIA OLEFINS PROJECT (MOP) SC0273 MFA-003-1 98-MOP-SEM-06
OWNER :
PURCHASER :
PLANT LOCATION :
KERTEH, MALAYSIA
OPTIMAL OLEFINS MALAYSIA SDN. BHD.
SAMSUNG ENGINEERING CO., LTD.
TABLE OF CONTENT 1.
Design pressure case
1
2.
Equivalent design pressure case
7
3.
M.A.W.P. case
13
4.
Skirt design calculation
19
5.
Nozzle design calculation
25
WIND LOAD CALCULATIONS TO - ASCE 7 - 1995 A ) AT OPERATING CONDITION 1 .0
1 .1
WIND DESIGN CALCULATION Design code Exposure category
: :
GEOMETRIC DATA Basic design wind speed, V As per ASCE 7, the wind pressure shall be determined as follows : Qw = Qz.Gh.Cf N/m² where Qz = Velocity pressure ( N/m² ) Gh = Gust response factor ( dimensionless ) Cf = Force coefficient ( dimensionless ) Calculate : Qz = 0.613.Kz.(I.V)² where I = Importance factor ( table 5 ) V = Basic design wind speed
1 .2
ASCE 7 - 95 C
= =
145.08 km/hr 40.30 m/s
= =
1 40.30 m/s
= =
274320 mm 7
case 4572mm z zg
Kz
= 2.58 ( z / zg )(2/a)
zg a
= 2.58 ( 4572 / zg )(2/a) case z < 4572mm = Gradient height ( table C6 ) = 900 ft = Ground surface roughness factor ( table C6 )
Gh where
= 0.65 + 3.65.Tz
Tz Do
= ( 2.35 Do1/2 )/( z/ 9144 )(1/a) = Surface drag coefficient ( table C6 )
Cf
= Force coefficient ( table 12 )
=
0.005
WIND FORCE CALCULATION PRESSURE VESSEL Height above average level of ground, z Velocity pressure, Qz Gust Response Factor, Gh Force Coefficient, Cf Wind design pressure, Qw
overall diameter h/D D*(Qz)^(1/2)
3000.4 mm 3.6161845 95.856227 >
= = = = =
0.7436031 2.5
10850 mm 1020.66 N/m² 1.242 0.74 942.55 N/m²
% OVER DIAMETER CALCULATION
Vessel diameter, ID Vessel thickness, ts Vessel diameter, OD Insulation thickness (if applicable) Vessel OD + insulation, Do'
: : : : :
2000 14 2028 140 2308
mm mm mm mm mm
The diameter to be used for section B calculation, D" or Larger of the two
= =
Do' Do'
=
3000
+ x
600 1.3
= =
2908 mm 3000 mm
mm
To convert the diameter used to the % over diameter D" - Do' Do'
= =
3000 30.00 %
2308
2308 over diameter
x
100 %
WEIGHT CALCULATION Equipment no: Equipment name: Equipment size:
09-F004 NH3 SEPARATOR ID 1500 T/T 2000
Description Ellip Head (top) Ellip Head (bottom) Shell plate Jacket head Jacket shell Lifting lugs Reinforcement Plate Nozzle, N1 Nozzle, N2 Nozzle, N3 Nozzle, N4 Nozzle, N5 Nozzle, N6A Nozzle, N6B Nozzle, N7 Nozzle, N8 Nozzle, N9A Nozzle, N9B Nozzle, N10 Nozzle, N11 Line pipe Demister Elbow N6B Elbow N9B Skirt & base ring Name plate Miscellaneous Total
Weight (kg) 286.74 560.21 1799.53 385.25 393.46 36 63 31 31 4 2.9 5.3 5.3 5.3 7.3 138.5 5.3 5.3 4.5 2.9 26 85 2.5 2.5 645.7 2 113.51 4650
Fabrication weight Empty weight Content weight Operating weight Water weight Hydrotest weight Full of water weight
4650 5580 2823 8403 4420 10230 10230
kg kg kg kg kg kg kg
PAGE ............ OF ................ C-2432
CALCULATION OF LIFTING FORCE
W = 1.5 * Wo, (1.5 = DYNAMIC LOAD FACTOR, Wo = TOTAL LIFTING WEIGHT) = 1.5 x 116699 = 175048 N,(USED W.T IS= Y=
3825 mm
X=
4225 mm
R=
1005 mm
LL = W*( Y*COSá + RSINá ) / ( ( X+Y )*COSá + R*SINá ) TL = W*( X*COSá ) / ( ( X+Y)*COSá + R*SINá) LV = LL*COSá LH = LL*SINá TV = TL*COSá TH = TL*SINá PV = 0.5*LH PH = PV*TAN15 °
175048
N)
PAGE ............ OF ................ C-2432
RESULT OF LIFTING FORCE ( á = 0° TO 90° )
DEG.à --------0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 ---------
LL LV LH TL TV TH PV PH ------------------ --------------------- -------------------- --------------------------- ----------------- ------------------ -------------------------- ------------83175 83175 0 91873 91873 0 0 0 84168 83847 7336 90880 90534 7921 3668 ## 85154 83860 14787 89894 88528 15610 7393 ## 86149 83213 22297 88899 85870 23009 11148 ## 87168 81911 29813 87880 82580 30057 14907 ## 88229 79963 37287 86819 78684 36691 18644 ## 89352 77381 44676 85696 74215 42848 22338 ## 90561 74183 51943 84487 69208 48460 25972 ## 91887 70389 59064 83161 63705 53455 29532 ## 93372 66024 66024 81676 57754 57754 33012 ## 95074 61112 72831 79974 51406 61264 36415 ## 97077 55681 79521 77971 44722 63870 39760 ## 99509 49755 86177 75539 37769 65418 43089 ## 102577 43351 92967 72470 30627 65680 46483 ## 106639 36473 100208 68408 23397 64283 50104 ## 112376 29085 108546 62672 16221 60537 54273 ## 121259 21056 119417 53789 9340 52972 59708 ## 137193 11957 136671 37855 3299 37711 68335 ## 175048 0 175048 0 0 0 87524 ## ---------------------------------------------------------------------------------------------------------
MAX. FORCE SUMMARY AT LIFTING AND TAILING LUGS FORCE ( N ), ANGLE ( DEG. )
FORCE --------ANGLE ---------
LL 175048 -------------90 --------------
LV 83860 ---------------5 ----------------
LH 175048 ---------------90 ----------------
TL 91873 --------------0 ---------------
TV 91873 -------------0 --------------
TH 65680 --------------65 ---------------
PV 87524 -----------------90 ------------------
PH ## ---90 ----
PAGE ............ OF ................ C-2432
************** *** ************** *** ************* * * LIFTING LUG * ************** *** ************** *** ************* * ERECTION WEIGHT (WT) : MATERIAL OF LUG : MATERIAL OF PAD : YIELD STRESS (LUG) : YIELD STRESS (PAD) : LUG THICKNESS (t) : PAD THICKNESS (tp) : 476 a = 200.0 w = 197.0 206 c = 91.0 e = 577.0 g = d' = 110.0 710 A = 394.0 E = 500.0 t1 = 22.0 leg ( 35 1. DESIGN LOAD PER LIFTING LUG
1.5 x 17650g
=
175047.8 SA 537 CL1 SA 240 304 334.8 118.9 22.0 14.0
MM MM b = MM d = MM f = MM h = MM B = MM tr = MM t2 = mm leg (
110.0 38.0 81.0 0.0 264.0 0.0 14.0 15
N
MPa MPa MM MM MM MM MM MM MM MM MM mm)
PK
262 182 444 Note : t1 and t2 are throat length
We had considered the 5o out of bending by dividing the max load with cos 5o
WT P=
=
87858 N
2 x COS 5° 2. STRENGTH OF LIFTING LUG 1) SHEAR STRESS P Ss = 2 ( t x f + 2tr x h ) =
t= =
24.7 MPa
< Sa = 0.4Sy =
Shear Stress, Ss x 2 49.30316 Mpa
133.9 MPa
<< OK >> Please note that P is not vertical load. P is the max load during lifting.
2) BENDING STRESS Pxg Sb = M / Z = t x a² / 6
0.5WT =
65.9 Mpa
< Sa = 0.66Sy =
220.9 MPa
o
0.5WT/cos(5 )
<< OK >>
3) BEARING STRESS, Sbr PIN DIAMETER USED = 70 mm 2 A= 3500 mm Sbr = P/A = = 25.10 MPa < Sa = 0.9Sy =
5
301.275 Mpa OK
X
X
Y
Y
At Y-Y section COMBINE STRESSES s1/2 = (sx + sy/2 = (Sb + Ss/2
= = =
SQRT[ (sx + sy2/4 + t2 ]
SQRT[ (Sb + Ss2/4 + t2 ]
65.89
+ 24.65 2 45.27 ± 66.94 112.21 OR -21.66326
± SQRT [ (
(
MPa < Sa = 0.9Sy =
65.89 +
24.65
301.275 Mpa OK
BENDING STRESS AT HORIZONTAL POSITION O P' = 1/2 x WT/2 COS 5 = 43595.66 N Sb' = M/Z
2
= P' x d' / (t1 x a /6) = 33.700165 MPa < Sa = 0.66Sy =
220.94 Mpa
2
) /4 + t ]
OK OK
2
PAGE ............ OF ................ C-2432
2. STRENGTH OF WELDMENT (PAD AND LUG) 1) CRITICAL WELD CROSS SECTION PROPERTIES b² + c² + d * c/2 n=
=
36.7 MM
a + 2b + 2c POLAR MOMENT OF INERTIA (J) (a - d)² J = (2.b [(b²/12) + r1²] + (a-d)[
+
n²]
12 d² + 2.c [(c²/12) + r2²] + d [
+ (c - n)²]).t1 12 =
bb WHERE,
r1² = (
-n)²+( 2
r2² = (
c -n)²+ 2
(
4 74063936 MM
a )²= 2 d )²= 2
10334 MM
438 MM
2) MAX. TORSIONAL STRESS S1 = P (e + b - n) rmax / J = WHERE, rmax = SQRT ( (b - n)² + (a/2)² ) = 122.8 MM Sv = S1 cosá = Sh = SI siná =
94.7 MPa
76.0 MPa 56.5 MPa
(b - n) WHERE, á = atan ( ----------) = a/2 3) DIRECT SHEAR STRESS S2 = P / (2*b*t1 + a*t1) = 4) MAX. SHEAR STRESS S = @SQRT ( (S2 + Sv)² + Sh² ) = 102.5 MPa < Sa = 0.55 x 0.6Sy =
36.6 °
9.5 MPa
110.5 MPa
<< OK >>
PAGE ............ OF ................ C-2432
3. STRENGTH OF WELDMENT (PAD AND SHELL) 1) TORSIONAL SHEAR STRESS S3 = P (E+B/2)/(2 A B t2) = 19.1 MPa 2) DIRECT SHEAR STRESS S4 = P /(2 (A+B) t2) = 4.8 MPa 3) MAX. SHEAR STRESS S = S3 + S4 =
23.8 MPa < Sa = 0.55 x 0.6Sy =
REFERENCE : PRESSURE VESSEL DESIGN HANDBOOK (H. BEDNAR) AISC - ALLOWABLE STRESS
110.5 MPa
<< OK >>
PAGE ............ OF ................ C-2432
************** *** ************** *** ************* * * TAILING LUG * ************** *** ************** *** ************* * MATERIAL : YIELD STRESS (Sy) : LOAD AT TAIL.LUG (P) TV : RADIUS (R) : HOLE DIAMETER (d) : LUG THICKNESS (t) : B : H = 2R : Lw = 2 H :
SA 537 CL1 334.8 MPa 91872.92 N 104.0 MM 60.0 MM 22.0 MM 60 MM 208.0 MM 416.0 MM
1. STRENGTH OF TAILING LUG 1) SHEAR STRESS P Ss = -----------2 (2tlt x(R-d/2) f + 2tr x h ) =
28.2 MPa < Sa = 0.4Sy =
133.9 MPa
<< OK >>
220.9 MPa
<< OK >>
2) BENDING STRESS PxB Sb = M / Z = --------------t x H² / 6 =
34.7 MPa < Sa = 0.66Sy =
2. STRENGTH OF WELDMENT 1) REQUIRED WELDMENT BY SHEAR P P Aw = ------- = ------------- = Sa 0.55x0.4 Sy
1248 MM²
2) LEG LENGTH Aw l = ---------------- = Lw USE LEG LENGTH
3.0 MM
=
16 MM
REFERENCE : PRESSURE VESSEL DESIGN HANDBOOK (H. BEDNAR) AISC - ALLOWABLE STRESS
<< OK >>
C-2432
PAGE ............ OF ................
TENSILE STRENGTH AT "A"
A= =
P x K2 (a x T) + ( 2 x c x t) 95.94 MPa
WHERE , a = d= b= a/d = T= c= t=
74 60 208 1.2333333 22 0 0
<
220.935 MPa ===>
K2 =
O.K!
1.7
PAGE ............ OF ................ C-2432
************ ** ************** *** ************** * ************* ********* ************ ** * STRENGTH OF BASE BLOCK * * DURING ERECTION * ************ ** ************** *** ************** *** ************* ********* ************ ** MATERIAL YIELD STRESS (Sy) ALLOW. STRESS (Sall.) LOAD (P = TV) Le = 0.55 SQRT ( Do x t2 ) HOLE DIAMETER (d ) Rm = MEAN RADIUS
l1 = l2 = l3 =
: : : : : : :
A 283 GR C 206.8 103.4 91872.92 70.8 41.0 857.5
100.0 MM,L1 = 84.0 MM,L2 = 125.6 MM,L3 =
MPa MPa N MM MM MM
200.0 MM,t1 = 320.8 MM,t2 = 112.0 MM,t3 =
1. CALCULATION OF N.A (L1xt1xl1) + (L2xt2xl2) + (L3xt3xl3) Y = = ---------------------------------------------------(L1xt1) + (L2xt2) + (L3xt3)
15.9 MM,A1 = 8.0 MM,A2 = 15.9 MM,A3 =
=
3180.0 MM² 2566.4 MM² 1780.8 MM²
100.6 MM
2. MOMENT OF INERTIA
I
(t1xL1^3 + L2xt2^3 + t3xL3^3) + A1x(Y-l1)² + A2x(Y-l2)² + A3x(Y-l3)² = -----------------------------------------------------12 =
1.4E+07 MM^4
3. SECTION MODULUS I Z = ------- = Y
142111 MM^3
4. BENDING STRESS OF BASE BLOCK DUE TO TV ( á = 0ø ) 1) BENDING MOMENT Mo = 1.5 w Rm² = 0.239 x P x Rm = 2) BENDING STRESS Mo Sb =-------= Z
1.9E+07 N-MM
132.5 MPA < Sa =0.66Sy =
136.5 MPa P
5. SHEAR STRESS
==>
Po
P = ¶ w Rm w = P / ¶ Rm
Mo 34.10 N/MM
Wo = 0.5 w Rm
14622.03 N w
6. COMBINED STRESSES Wo / A2 ± Sb
=
138.19008
THEREFORE, BRACING OF SHELL IS REF. : " FORMULAS FOR STRESS AND STRAIN"
> 1.5 Sall.
155.1 MPa NOT REQUIRED.
BY RAYMOND J.ROARK.
PAGE ............ OF ................ C-2432
7. CHECK FOR SHELL BRACING BRACING MATERIAL : YIELD STRESS Sy : SHELL I.D (L) : SIZE : AREA [A] :
P(TV)
A 106 GR B 206.844 MPa 6236 MM W 6" X 6" X 20 LB/FT 10389.52 MM²
:
91872.92 N
TENSILE STRESS ST = P / A
RADIUS OF GYRATION
COMPRESSION STRESS Pxw Sc = ----- = A WHERE; w =
=
(i) :
LAMDA 20 30 40 50 60 70 80 90 100 110
0 1 1.03 1.07 1.12 1.19 1.28 1.39 1.53 1.7 2.03
124.1064 MPa
O.K
67.39328 MM
9.5 MPA < Sa = 0.6Sy =
124.1 MPa
1.07 ; FROM TABLE 16-2 (JIS B8821)
L LAMDA =------ = n^0.5xi n=
8.842843 MPa < 0.6Sy
46.3
4
; WHEN BOTH FIXED.
1 1 1.03 1.07 1.13 1.20 1.29 1.40 1.54 1.73 2.08
2 1 1.04 1.08 1.13 1.20 1.30 1.41 1.56 1.76 2.13
3 1 1.04 1.08 1.14 1.21 1.31 1.43 1.58 1.79 2.14
THEREFORE, THIS BRACING IS SUITABLE. REFERENCE : FORMULAS FOR STRESS AND STRAIN (ROARK) JIS
4 1 1.05 1.09 1.15 1.22 1.32 1.44 1.59 1.81 2.20
5 1 1.05 1.09 1.16 1.23 1.33 1.46 1.61 1.87 2.40
6 1.01 1.05 1.10 1.17 1.24 1.34 1.47 1.63 1.90 2.47
7 1 ## ## ## ## ## ## ## ## ##
AISC
C-2432
PAGE ............ OF ................
STRENGTH OF WELDMENT (PAD AND LUG)
LIFTING IN HORIZONTAL POSITION, LV/2
L1 L2 D1 D2 e JOINT EFFICIENCY, n THROAT = 0.7 t1 = C1
= = = = = = =
41930.05
110 110 197 38 577 0.49 22
N y
x
AW1 = 2xC1x(C1+L1)+C1xD1+2xC1xL2
14982
r
= ((D1/2+C1)²+f2²)
144.2666
f1
= {2xC1x(C1+L1)²/2 + (D1-D2)xC1²/2 + 2xC1xL2²/2 + D2xC1 x(L2+C1/2)}/AW1 52.67401
f2 = C1 + L1 - f1
79.32599
Ix = 2x{(C1+L1)xC1^3/12 + (C1+L1)xC1x((C1+D1)/2)²} +2x{C1x((D1-D2)/2)^3/12 + C1x(D1-D2)/2x(D2/2+(D1-D2)/4)²} +2x{L2xC1^3/12+L2xC1x((D2-C1)/2)²} + C1xD2^3/12
69873628 + 13915919 + 605572 84395119
Iy = 2x{C1x(C1+L1)^3/12 + C1x(C1+L1)x((C1+L1)/2-f1)²} +2x{((D1-D2)/2xC1^3)/12 + (D1-D2)/2xC1x(f1-C1/2)²} +2x{C1xL2^3/12+C1xL2x(L2/2-f1)²} +{D2xC1^3/12 + D2xC1x(L2+C1/2-f1)²}
9464612 6216143 4906519 3936535 24523810
Ip = Ix + Iy
1.09E+08
+ + +
SHEAR STRESS DUE TO TORSIONAL MOMENT S1 = LV x (f2+e) x r / (Ip x n)
74.389
MPa <0.6*0.7*Sy =
140.595 MPa < OK >
5.712
MPa
<
140.595 MPa < OK >
80.101
MPa
<
140.595 MPa < OK >
SHEAR STRESS S2 = LV / (AW1xn) COMBINED SHEARING STRESS Ss = S1 + S2
LIFTING IN VERTICAL POSITION LIFTING IN VERTICAL POSITION, P
87858.23
N
SHEAR STRESS SV1 = P / (AW1xn)
11.968
<
140.595 < OK >
MPA
0.816
<
234.325 < OK >
MPA (0.7*Sy)
TENSILE STRESS SV2 = R1 / (AW1*n)
PAGE ............ OF ................ C-2432
5. STRENGTH OF WELDING JOINT OF LIB LIB MATERIAL YIELD STRENGTH , Sy t = L7 = f2 + e - ( g + t/2) L8 = t/2 + g + d/2
A283 Gr.C/ A285 Gr. C 206.844 MPa 16 MM 538.32599 MM 137 MM
R = P TAN 15° * (L7+L8)/L7
29532.691 N
R1 = R - PTAN 15°
5991.1491 N
COMPRESSIVE STRESS Sc = R / AW2
AW2 = a * t / 1.414
13.25
2229.14
MPa < 0.7 Sy =
MM2
144.7908 MPa