DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 76 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 1 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A 7443-33-1A,, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex. Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange(Channel Cover) Thickness (item no. 22)
[UG-34 & Fig. UG-34 Sketch (j)]
[Attached by Bolts] Blind Cover Material, Clad Metal : SB171 UNS No. C63000
Subjected to internal pressure
Stud bolt material Design Temperature Min. Design Metal T emperature, MDMT Bolt-up and Gasket Seating T emperature Assume corrosion allowance, C Operating Pressure (tube side) Internal Design Pressure, P (MAWP) Allowable Stress of Bolt Material, SB :
[UG-25]
ASME SA266 Class 2 SA 193 Grade B7 o F 140 60 o 53.6 F 12 o F 86 30 0.19685 INCH 5 56.8182 PSIG 4 71.7082 PSIG 5.04826
o
C C o C MM o
2
Kg/CM G 2
Kg/CM G 2
* at design temp.(operating condition), Sb * or at atmospheric temp./bolt-up temp. (gasket seating), Sa Allowable Stress of Flange Material : * at design temp.(operating temp.(operating condition), SfH
25000 25000
PSIG PSIG
1760 1760
Kg/CM G
20000
PSIG
1408
Kg/CM G
* or at atmospheric temp./bolt-up temp. (gasket seating), SfC
20000
PSIG
1408
Kg/CM G
INCH INCH INCH
28 685 623
MM MM MM
INCH
25.4
MM
355.4832 9953.528 563 482.6
MM
2
Kg/CM G 2 2
[Table 1A , SubPart 1 , ASME Sec. II , Part D]
Joint efficiency, E
1
Bolt Hole, Flange outside diameter, A Bolt circut diameter (B.C.D.),
1.10236 26.9685 24.5276
Fig. UG-34, Sketch (j) Figure (5)
No. of bolts Nominal bolt dia., dB Actual cross-sectional area of each bolt, Total actual cross-sectional area of bolts, Ab Flange face outer diameter Flange face inner diameter
28 1 [TEMA Table D-5]
0.551 15.428 22.1654 19
INCH
2
INCH
2
INCH INCH
2 2
MM
MM MM
DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 77 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 2 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A, 7443-33-1A, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex. Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange (Channel Cover) Thickness (item no. 22) ( cont.) [Attached by Bolts]
[UG-34 & Fig. UG-34 Sketch (j)]
Gasket Details: - Flat metal, jacketed asbestos filled, soft copp[er or brass - Outside diameter - Inside diameter = O.D - 2N - Width, N Gasket Dimensions: Basic gasket seating width, bO = N/2 [Table 2-5.2] Since bo > 1/4 ", Eff ective gasket seating width, b = 0.5 SQRT(bO) Gasket Factor, m Min. Seating Stress, y Facing Sketch
0.125 22.0472 20.8661 0.59055
INCH INCH INCH INCH
3.175 560 530 15
MM MM MM MM
0.29528
INCH
7.5
MM
INCH
6.90 6.9010 108 87 MM
[Table 0.2717
3.5 6500 PSIG (1a); Column II
457.6
21.5039
INCH
546 546.19 .1978 MM
Factor depending upon method of attachment of head, C [Fig. UG-34, Sketch (j)] 0.3 [Table 2-5.2] Gasket moment arm, hG = (B.C.D - d)/2 = (C-G)/2 1.51185
INCH
38.40109 MM
[Table 2-5.1] [Table 2-5.1] [Table 2-5.1]
Diameter at location of gasket load reaction, d ( d represnts G ) When bo is larger than 1/4", d = O.D.of gasket contact face - 2 b
2
Kg/CM G
[Appendix 2-3]
Calculating the Min. required Thickness of Blind Flange, t: t =d
3
CP/SE +1.9WhG /SEd
[UG-34(c)(2)]
When using this formula, the thickness t shall be calculated for both operating conditions, conditions, and gasket seating, seating, and the greater of the two values shall be used.
SA 193 Grade B7 o F 100 140 PSI 25000 ? ASME SA266 Class 2 o F 100 140 20000 ? PSI
150 25000 200 20000
DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 78 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 3 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A, 7443-33-1A, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex. Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange (Channel Cover) Thickness (item no. 22) ( cont.) [Attached by Bolts]
[UG-34 & Fig. UG-34 Sketch (j)]
Calculating the total bolt load, W (for circular heads): 1. For operating conditions, the value of P shall be the design pressure, and the value of S at the design temperature and W from Formula (3) of 2-5(e) shall be used. Flange Design Bolt Load for circular heads, W [Appendix 2-5(e)] (3) For operating conditions, W = Wm1 2 Wm1 = H + Hp = 0.785 G P + (2b x 3.14 GmP) (1) [Appendix 2-5( 35243.2
lb
159 15986.0 86.05 5 Kg
Flange thickness
0.85602
INCH
21.7 21.743 430 01 MM
0 20000
PSIG PSIG
0 1408
lb
540 54089.0 89.04 4 Kg
t = d
C P / S E + 1. 9 9W Wh G / S Ed Ed^ 3
2. For gasket seating, P equals zero, and the values of S at atmospheric atmosphe ric and W from Formula (4) of 2-5(e) shall be used. [UG-34(c)(2)]
P S Flange Design Bolt Load for circular heads, W [Appendix 2-5(e)] For gasket seating, W = 0.5(Am + Ab) Sa (4)
2
Kg/CM G 2
Kg/CM G
Total required cross-sectional area of bolts, Am = Max (Am1,Am2) Required bolt load under atmospheric temp.conditions, Wm2 = 3.14bGy
(2) 119246
* Total cross-sectional area of bolts at root of thread requiired at operating conditions , Am1 = Wm1/ Sb
1.40973
INCH
2
909.4991 MM2
* Total cross-sectional area of bolts at root of thread required gasket seating, Am2 = Wm2/ Sa
4.76983
INCH
2
3077.304 MM2
4.76983
INCH
2
3077.304 MM2
252473
lb
114 114519. 519.9 9 Kg
1.29857
INCH
32.9 32.983 837 72 MM
1.29857 1.29921 2.00787
INCH INCH INCH
32.9 32.983 837 72 MM 33 MM 51 MM
2.48031 2.48 031
INCH
63
Total required cross-sectional area of bolts, Am = Max (Am1,Am2) For gasket seating,
W = 0.5(Am + Ab) Sa
t = d
(4)
C P / S E + 1. 9 Wh Wh G / S Ed Ed^ 3
t = max. of t of operating and gasket seating Use t without corrosion allowance Use t for construction including R.F. N.B. Che Check ck which which the defle deflection ction is conside considered red a gover governing ning thick thickness ness or not. not. The deflection is ehe governing thickness
MM
DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 79 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 4 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A, 7443-33-1A, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex. Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange (Channel Cover) Thickness (item no. 22) ( cont.) [Attached by Bolts]
[UG-34 & Fig. UG-34 Sketch (j)]
CONCLUSION: FLANGE SUMMARY Flange thickness (without C.A.) Use t for construction including R.F. For a proper design of flange : 1. You have to make a check for flange deflection.
1.29857 2.04724
INCH INCH
32.9 32.983 837 72 MM 52 MM
GASKET SUMMARY Gasket width, N Required cross-sectional of bolts, Am Actual cross-sectional area of bolts, Ab
0.59055 4.76983 15.428
INCH 2 INCH
15 MM 2 3077.304 MM 2 9953.528 MM
BOLT SUMMARY No. of bolts Size of bolt (the bolt size is represented by its actual cross-sectional area) Bolt hole dia. Total required cross-sectional area of bolts, Am Total actual cross-sectional area of bolts, Ab Actual cross-sectional area of bolt, [TEMA TABLE D-5]
28 1 1.125 4.76983 15.428 0.551
Bolt
0.75 4.76983 8.456 0.302
INCH 2 INCH 2 INCH 2 INCH
NA
1.22047 0.81 0. 8125 25 1.0625 1.125 1.25
INCH INC IN CH INCH INCH INCH
31 20.6 20 .637 375 5 26.9875 28.575 31.75
INCH
2
INCH INCH 2 INCH INCH
2
INCH
2
25.4 28.575 3077.304 9953.528 355.4832
MM MM 2
MM
2
MM
2
MM
Since the actual bolt area Ab > The required bolt area Am Am,, the bolts are adequately enough. N.B. Wh Whe en using bolt with size Total required cross-sectional area of bolts, Am Total ctual cross-sectional area of bolts, Ab Actual cross-sectional area of bolt, [TEMA TABLE D-5] Since the actual bolt area Ab < The required bolt area Am Am,, the bolts are in inadequately adequately enough. Edge distance, E from drawing = 1/2 (A - C) Min in.. Edg dge e di dist stan ance ce,, E (f (fo or bol oltt si size ze 0.7 .75" 5")) Min. Edge distance, E (fo forr bolt size 1") Min. edge distance, E (for bolt size 1-1/8") [TEMA Table D-5] Min. Edge distance, E (for bolt size 1.25")
MM MM MM MM MM
DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 80 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 5 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A, 7443-33-1A, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex. Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange (Channel Cover) Thickness (item no. 22) ( cont.) [Attached by Bolts]
[UG-34 & Fig. UG-34 Sketch (j)]
Actual Bolt spacing, B (c/c) from drawing Min. Bolt spacing, B (for bolt size 0.75") Min. Bolt spacing, B (for bolt size 7/8") [TEMA Table D-5] Min. Bolt spacing, B (for bolt size 1") Min. Bolt spacing, B (for bolt size 1-1/8") Min. Bolt spacing, B (for bolt size 1-1/4") Max. Recommended bolt spacing, Bmax = 2 d B + 6 t / (m + 0.5) [TEMA 0.5) [TEMA RC
2.74622 1.75 2.0625 2.25 2.5 2.8125 3.94882
INCH INCH INCH INCH INCH INCH
69.75387 44.45 52.3875 57.15 63.5 71.4375 100.3
MM MM MM MM MM MM MM
0.03 0.02 0. 025 5 20
INCH INC IN CH INCH
0.762 0.63 0. 635 5 508
MM MM MM
G = Gasket load reaction diameter as defined by the Code 21.5039 E = Modulus of elasticity at design temperature [ASME Sec.II,Part D, TM 31460000 T = Thickness under consideration (minus groove and C.A.) 1.29921 P = Design pressure 71.7082
INCH PSI INCH PSIG
546 546.19 .1978 MM
SB = Allowable bolting stress at design temperature (Wm1) AB =Actual total cross-sectional root area of bolts hG = Radial distance from diameter G to bolt circle
PSIG 2 INCH
Check for Flat Channel Cover Deflection
[TEMA RCB- 9.21 9.21 ]
The effective thickness of a flat channel cover shall be the thickness at the bottom of the pass partition groove (or the face if there is no groove) minus corrosion allowance in excess of groove depth. The thickness is to be at least that required by the appropriate Code formula and thicker if required to meet proper deflection criteria. The recommended limit for channel cover deflection is: 0.03" for nominal diameters thru 24" 0.1 .125 25% % of nom omin ina al dia diam mete ters rs (n (no omin ina al dia diam mete ter/ r/80 800 0) fo for lar larg ger siz izes es Nominal diameter = Shell ID + 2 ts A method for calculating of channel cover deflection at the center, Y is: G 3 Y = 0.0435G P+0.5SB A B h G 3 ET
(
Where
INCH
)
If the calculated deflection is greater than the recommended limit, the deflection may be reduced by acceptance methods such as: (a) Increase channel cover thickness by the cube root of the ratio of calculated deflection to the recommended recommended limit. (b) Use of strong backs. backs. (c) Change type of construction. Note: For single pass channels, or others in which there is no pass partition gasket seal against the the channel cover, no deflection criteria criteria need be considered.
25000 15.428 1.51185
INCH
2
2214784.07 Kg/CM G
33 5.04826
Kg/CM G
MM
25000
Kg/CM G
2 2
2
9953.528 MM 38.4 38.401 010 09 MM
DESIGN CALCULATIONS OF HEAT EXCHANGER
Page : 81 of 136
According to ASME Code, Sec. VIII, Div. 1, Edition 2001, Addenda 2002 / TEMA "R" 7th Edition 88. Designed by : Eng. Abdel Halim Galala, Galala, Design General Manager (Assistant)
Sheet : 6 of 6 Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Job No. : 7443-33 Dwg. No. : 7443-33-1A, 7443-33-1A, Rev. 0 Exchanger : Residue Cooler, Type : AES, AES, TEMA class class : R
Date : 4.7.2003 Location : Alex.
Client : APRC
Sheet : 14
Item : E-323A/B & E-514C/D
P. Flat Unstayed Circular Blind Flange (Channel Cover) Thickness (item no. 22) ( cont.) [Attached by Bolts]
The calculated deflection is
G
(0.0435 G
[UG-34 & Fig. UG-34 Sketch (j)]
)
0.10054
INCH
2.55 2.5537 379 95 MM
0.03
INCH
0.762
2.88948
INCH
73.3 73.392 928 85 MM
0.00914
INCH
0.23 0.2321 214 49 MM
1.88283
INCH
47.824
0.03303
INCH
0.83 0.8390 905 54 MM
3. Recommended Recommended deflection limit
0.03
INCH
0.762
MM
4. Compare the calculated deflection with the recommended deflection
OK
The minimum thickness of channel cover at bottom of pass partition is The thickness neglecting corrosion allowance is
1.88283 1.88976
INCH INCH
47.824 48
MM MM
Conclusion : Checking of Deflection The min. thickness of channel cover to resist the internal pressure is Where the min. thickness of channel cover to avoid deflection is The min. thickness of channel cover as derived from drawings is The flange thickness increased by
1.33858 1.88976 1.9685 0.07874
INCH INCH INCH INCH
34 48 50 2
MM MM MM MM
Tthickness including groove depth ( 5 MM) Overall thickness including raised faces & groove depth
2.08661 2.48031
INCH INCH
53 63
MM MM
Max. Working Pressure, MWP at New (cold) & Operating (corroded) 2 2 3 at New (cold) P = SE t /d c - 1.9 W h G / d c
104.094
PSIG
2 7.328196 Kg/CM G
104.094
PSIG
2 7.328196 Kg/CM G
Y
=
E T
3
3
P
+
0.5 S
B
A
B
h
G
The recommended deflection limit
MM
Since the calculated deflection exceeds the recommended recommended deflection, we have to increase the flange tickness by the cubic root of the ratio of deflections, Tassumed = T
Y
G =
E T
3
+ 3
Ycalculated Yrecommended
(0.0435 G
3
P
+
[TEMA RCB-9.21]
0.5 S
B
)
ABh G
Easier approach : 1. Assume T, 2. Find Calculated deflection
Y
at Operating (corroded)
G =
E T
3
(0.0435 G
2
2
3
P
+
0.5 S
B
)
ABh G
3
P = SE t /d c - 1.9 W hG / d c
MM