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. Sheet : 1 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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] Subjected to internal pressure
Blind Cover Material, Clad Metal : SB171 UNS No. C63000 ASME SA266 Class 2
Stud bolt material SA 193 Grade B7
Design Temperature 140oF 60
oC
Min. Design Metal Temperature, MDMT 53.6oF 12
oC
Bolt-up and Gasket Seating Temperature 86oF 30
oC
Assume corrosion allowance, C [UG-25] 0.19685 INCH 5 MM
Operating Pressure (tube side) 56.8182 PSIG 4 Kg/CM2G
Internal Design Pressure, P (MAWP) 71.7082 PSIG 5.04826 Kg/CM2G
Allowable Stress of Bolt Material, SB :
* at design temp.(operating condition), Sb 25000 PSIG 1760 Kg/CM2G
* or at atmospheric temp./bolt-up temp. (gasket seating), Sa 25000 PSIG 1760 Kg/CM2G
Allowable Stress of Flange Material :
* at design temp.(operating condition), SfH 20000 PSIG 1408 Kg/CM2G
* or at atmospheric temp./bolt-up temp. (gasket seating), SfC 20000 PSIG 1408 Kg/CM2G
[Table 1A , SubPart 1 , ASME Sec. II , Part D]
Joint efficiency, E 1
Bolt Hole, 1.10236 INCH 28 MM
Flange outside diameter, A 26.9685 INCH 685 MM
Bolt circut diameter (B.C.D.), 24.5276 INCH 623 MM
Fig. UG-34, Sketch (j)
Figure (5)
No. of bolts 28
Nominal bolt dia., dB 1 INCH 25.4 MM
Actual cross-sectional area of each bolt, [TEMA Table D-5] 0.551 INCH2 355.4832 MM
2
Total actual cross-sectional area of bolts, Ab 15.428 INCH2 9953.528 MM
2
Flange face outer diameter 22.1654 INCH 563 MM
Flange face inner diameter 19 INCH 482.6 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. Sheet : 2 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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 0.125 INCH 3.175 MM
- Outside diameter 22.0472 INCH 560 MM
- Inside diameter = O.D - 2N 20.8661 INCH 530 MM
- Width, N 0.59055 INCH 15 MM
Gasket Dimensions:
Basic gasket seating width, bO = N/2 [Table 2-5.2] 0.29528 INCH 7.5 MM
Since bo > 1/4 ", Effective gasket seating width, b = 0.5 SQRT(bO) [Table 0.2717 INCH 6.901087 MM
Gasket Factor, m [Table 2-5.1] 3.5
Min. Seating Stress, y [Table 2-5.1] 6500 PSIG 457.6 Kg/CM2G
Facing Sketch [Table 2-5.1] (1a); Column II
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 21.5039 INCH 546.1978 MM
[Appendix 2-3]
Factor depending upon method of attachment of head, C [Fig. UG-34, Sketch (j)] 0.3
Gasket moment arm, hG = (B.C.D - d)/2 = (C-G)/2 [Table 2-5.2] 1.51185 INCH 38.40109 MM
Calculating the Min. required Thickness of Blind Flange, t:
[UG-34(c)(2)]
When using this formula, the thickness t shall be calculated for
both operating conditions, and gasket seating, and the greater
of the two values shall be used.
SA 193 Grade B7oF 100 140 150
PSI 25000 ? 25000
ASME SA266 Class 2oF 100 140 200
PSI 20000 ? 20000
3G/SEd1.9Wh+ CP/SEd = t
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. Sheet : 3 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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)]
For operating conditions, W = Wm1 (3)
Wm1 = H + Hp = 0.785 G2P + (2b x 3.14 GmP) (1) [Appendix 2-5(e35243.2 lb 15986.05 Kg
Flange thickness 0.85602 INCH 21.74301 MM
2. For gasket seating, P equals zero, and the values of S at
atmospheric and W from Formula (4) of 2-5(e) shall be used.
[UG-34(c)(2)]
P 0 PSIG 0 Kg/CM2G
S 20000 PSIG 1408 Kg/CM2G
Flange Design Bolt Load for circular heads, W [Appendix 2-5(e)]
For gasket seating, W = 0.5(Am + Ab) Sa (4)
Total required cross-sectional area of bolts, Am = Max (Am1,Am2)
Required bolt load under atmospheric temp.conditions, Wm2 = 3.14bGy (2) 119246 lb 54089.04 Kg
* Total cross-sectional area of bolts at root of thread requiired
at operating conditions , Am1 = Wm1/ Sb 1.40973 INCH2 909.4991 MM
2
* Total cross-sectional area of bolts at root of thread required
gasket seating, Am2 = Wm2/ Sa 4.76983 INCH2 3077.304 MM
2
Total required cross-sectional area of bolts, Am = Max (Am1,Am2) 4.76983 INCH2 3077.304 MM
2
For gasket seating, W = 0.5(Am + Ab) Sa (4) 252473 lb 114519.9 Kg
1.29857 INCH 32.98372 MM
t = max. of t of operating and gasket seating 1.29857 INCH 32.98372 MM
Use t without corrosion allowance 1.29921 INCH 33 MM
Use t for construction including R.F. 2.00787 INCH 51 MM
N.B. Check which the deflection is considered a governing thickness or not. 2.48031 INCH 63 MM
The deflection is ehe governing thickness
t = d CP / SE +1.9Wh / SEd^G 3
t = d CP / SE + 1.9Wh / SEd^G 3
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. Sheet : 4 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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.) 1.29857 INCH 32.98372 MM
Use t for construction including R.F. 2.04724 INCH 52 MM
For a proper design of flange :
1. You have to make a check for flange deflection.
GASKET SUMMARY
Gasket width, N 0.59055 INCH 15 MM
Required cross-sectional of bolts, Am 4.76983 INCH2 3077.304 MM
2
Actual cross-sectional area of bolts, Ab 15.428 INCH2 9953.528 MM
2
BOLT SUMMARY
No. of bolts 28 Bolt
Size of bolt (the bolt size is represented by its actual cross-sectional area) 1 INCH 25.4 MM
Bolt hole dia. 1.125 INCH 28.575 MM
Total required cross-sectional area of bolts, Am 4.76983 INCH2 3077.304 MM
2
Total actual cross-sectional area of bolts, Ab 15.428 INCH2 9953.528 MM
2
Actual cross-sectional area of bolt, [TEMA TABLE D-5] 0.551 INCH2 355.4832 MM
2
Since the actual bolt area Ab > The required bolt area Am,
the bolts are adequately enough.
N.B. When using bolt with size 0.75 INCH NA
Total required cross-sectional area of bolts, Am 4.76983 INCH2
Total ctual cross-sectional area of bolts, Ab 8.456 INCH2
Actual cross-sectional area of bolt, [TEMA TABLE D-5] 0.302 INCH2
Since the actual bolt area Ab < The required bolt area Am,
the bolts are inadequately enough.
Edge distance, E from drawing = 1/2 (A - C) 1.22047 INCH 31 MM
Min. Edge distance, E (for bolt size 0.75") 0.8125 INCH 20.6375 MM
Min. Edge distance, E (for bolt size 1") 1.0625 INCH 26.9875 MM
Min. edge distance, E (for bolt size 1-1/8") [TEMA Table D-5] 1.125 INCH 28.575 MM
Min. Edge distance, E (for bolt size 1.25") 1.25 INCH 31.75 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. Sheet : 5 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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 2.74622 INCH 69.75387 MM
Min. Bolt spacing, B (for bolt size 0.75") 1.75 INCH 44.45 MM
Min. Bolt spacing, B (for bolt size 7/8") [TEMA Table D-5] 2.0625 INCH 52.3875 MM
Min. Bolt spacing, B (for bolt size 1") 2.25 INCH 57.15 MM
Min. Bolt spacing, B (for bolt size 1-1/8") 2.5 INCH 63.5 MM
Min. Bolt spacing, B (for bolt size 1-1/4") 2.8125 INCH 71.4375 MM
Max. Recommended bolt spacing, Bmax = 2 dB + 6 t / (m + 0.5) [TEMA RCB3.94882 INCH 100.3 MM
Check for Flat Channel Cover Deflection [TEMA RCB-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" 0.03 INCH 0.762 MM
0.125% of nominal diameters (nominal diameter/800) for larger sizes 0.025 INCH 0.635 MM
Nominal diameter = Shell ID + 2 ts 20 INCH 508 MM
A method for calculating of channel cover deflection at the center, Y is:
Where G = Gasket load reaction diameter as defined by the Code 21.5039 INCH 546.1978 MM
E = Modulus of elasticity at design temperature [ASME Sec.II,Part D, TM-31460000 PSI 2214784.07 Kg/CM2G
T = Thickness under consideration (minus groove and C.A.) 1.29921 INCH 33 MM
P = Design pressure 71.7082 PSIG 5.04826 Kg/CM2G
SB = Allowable bolting stress at design temperature (Wm1) 25000 PSIG 25000 Kg/CM2G
AB =Actual total cross-sectional root area of bolts 15.428 INCH2
9953.528 MM2
hG = Radial distance from diameter G to bolt circle 1.51185 INCH 38.40109 MM
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 limit.
(b) Use of strong backs.
(c) Change type of construction.
Note: For single pass channels, or others in which there is no pass partition
gasket seal against the channel cover, no deflection criteria need be
considered.
( )GBB
33
hAS5.0+PG0435.0TE
G=Y
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. Sheet : 6 of 6
Designed by : Eng. Abdel Halim Galala, Design General Manager (Assistant) Rev. : 0
Project : Design & Fabrication of Heat Exchanger for APRC Refinery Date : 4.7.2003
Job No. : 7443-33 Location : Alex.
Dwg. No. : 7443-33-1A, Rev. 0 Sheet : 14 Client : APRC
Exchanger : Residue Cooler, Type : AES, TEMA class : R 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)]
The calculated deflection is 0.10054 INCH 2.553795 MM
The recommended deflection limit 0.03 INCH 0.762 MM
Since the calculated deflection exceeds the recommended deflection, we have
to increase the flange tickness by the cubic root of the ratio of deflections,
[TEMA RCB-9.21] 2.88948 INCH 73.39285 MM
0.00914 INCH 0.232149 MM
Easier approach :
1. Assume T, 1.88283 INCH 47.824 MM
2. Find Calculated deflection 0.03303 INCH 0.839054 MM
3. 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 1.88283 INCH 47.824 MM
The thickness neglecting corrosion allowance is 1.88976 INCH 48 MM
Conclusion : Checking of Deflection
The min. thickness of channel cover to resist the internal pressure is 1.33858 INCH 34 MM
Where the min. thickness of channel cover to avoid deflection is 1.88976 INCH 48 MM
The min. thickness of channel cover as derived from drawings is 1.9685 INCH 50 MM
The flange thickness increased by 0.07874 INCH 2 MM
Tthickness including groove depth ( 5 MM) 2.08661 INCH 53 MM
Overall thickness including raised faces & groove depth 2.48031 INCH 63 MM
Max. Working Pressure, MWP at New (cold) & Operating (corroded)
at New (cold) P = SE t2 /d
2 c - 1.9 W hG / d
3 c 104.094 PSIG 7.328196 Kg/CM
2G
at Operating (corroded) P = SE t2 /d
2 c - 1.9 W hG / d
3 c 104.094 PSIG 7.328196 Kg/CM
2G
( )YG
E TG P S A h
B B G= +
3
30 0435 0 5. .
T TY
Yassumed
calculated
recommended
= + 3
( )YG
E TG P S A h
B B G= +
3
30 0435 0 5. .
( )YG
E TG P S A h
B B G= +
3
30 0435 0 5. .