PART 1 – ALLOWABLE NOZZLE LOADS DURCO PUMPS (ASME B73.1M).
FIGURE I-1: Axis System. The allowable nozzle loads listed in Figure I-2 may be
...
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Pump Division Appendix I
APPENDIX I PART 1 – ALLOWABLE NOZZLE LOADS DURCO PUMPS (ASME B73.1M) FIGURE I-1: Axis System
The allowable nozzle loads listed in Figure I-2 may be applied to any Mark III Standard Horizontal, Sealmatic, Lo-Flo, Recessed Impeller, or Unitized Self-Priming pumps in Ductile cast iron, all Durco 18-8 alloys, Chlorimet, Durimet 20, Carbon Steel, Monel, and Inconel. The allowable loads must be multipled by 0.70 for pumps made of nickel, titanium, zirconium and high chrome iron.
The loads listed in Figure I-2 are the combined values resolved to the center of the pump, except for the Fr + Mr/3 limits, which apply to the separate suction and discharge flanges. Some piping analysis programs calculate forces and moments on each flange, and do not translate them to a common point at the center of the pump. The formulas in Figure I-3 and Dimensions in Figure I-4 can be used to translate the forces and moments on each flange to the common center point.
FIGURE I-2: Allowable Forces and Moments (U.S. Customary Units)
81
Pump Nozzle Sizes
Combined Loading at Center of Pump Forces (lbf) Moments (lbf • ft) Fy Fz Mx My
Mz
Flange Suction Frs+Mrs/3
Loading Discharge Frd+Mrd/3
Fx
1.5 x 1
120
295
235
590
295
295
325
220
1.5 x 1.5
120
295
235
590
295
295
325
325
2x1
145
365
285
730
365
365
435
220
2 x 1.5
165
405
325
815
405
405
435
325
2x2
175
435
350
875
435
435
435
435
3 x 1.5
220
545
435
1090
545
545
650
325
3x2
235
590
470
1170
590
590
650
435
3x3
260
650
520
1300
650
650
650
650
4x3
325
815
650
1625
815
815
865
650
6x4
470
1170
940
2345
1170
1170
1300
865
8x6
610
1520
1215
3030
1520
1520
1730
1300
10 x 8
670
1670
1335
3350
1670
1670
1870
1730
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Pump Division Appendix I
FIGURE I-2: Allowable Forces and Moments (Metric Units) Pump Nozzle Sizes
Fx
Combined Loading at Center of Pump Forces (N) Moments (N•m) Fy Fz Mx My
Mz
Flange Suction Frs+Mrs*1.09
Loading Discharge Frd+Mrd*1.09
1.5 x 1
534
1313
1046
802
401
401
1446
979
1.5 x 1.5
534
1313
1046
802
401
401
1446
1446
2x1
645
1624
1268
993
496
496
1936
979
2 x 1.5
734
1802
1446
1108
551
551
1936
1446
2x2
779
1936
1558
1190
592
592
1936
1936
3 x 1.5
979
2425
1936
1482
741
741
2893
1446
3x2
1046
2626
2092
1591
802
802
2893
1936
3x3
1157
2893
2314
1768
884
884
2893
2893
4x3
1446
3627
2893
2210
1108
1108
3849
2893
6x4
2093
5207
4183
3189
1591
1591
5785
3849
8x6
2715
6764
5407
4121
2067
2067
7699
5785
10 x 8
2982
7432
5941
4556
2271
2271
8322
7699
FIGURE I-3: Load Translation Formulae Formula for all pumps except Recessed
Formula for Recessed Impeller
Fx = Fxs + Fxd
Same
Fy = Fys + Fyd
Same
Fz = Fzs + Fzd
Same
Mx = Mxs + Mxd + (Fzd*H) + (Fzs*M)
Mxs + Mxd + (Fzd*H) + (Fyd*M)
My = Mys + Myd + (-Fzs*L)
Mys + Myd + (-Fzs*L) + (-Fxd*M)
Mz = Mzs + Mzd + (Fys*L) - (Fxd*H) - (Fxs*M)
Mzs + Mzd + (Fys*L) - (Fxd*dH)
Frs = √(Fxs + Fys + Fzs )
Same
2
2
2
Mrs = √(Mxs + Mys + Mzs ) 2
2
2
Frd = √(Fxd + Fyd + Fzd ) 2
2
2
Same Same
Mrd = √(Mxd2 + Myd2 + Mzd2)
Same
Suction Loading (US Customary) = Frs + Mrs/3
Same
Discharge Loading (US Customary) = Frd + Mrd/3
Same
Suction Loading (Metric) = Frs + Mrs*1.09
Same
Discharge Loading (Metric) = Frd + Mrd*1.09
Same
Where: Forces are expressed lbf or N and moments are expressed in lbf•ft or N•m. Forces and Moments are positive in the directions shown on Figure I-1. Fx = Calculated total force in the x direction at the center of the pump. Fxs = Force in the x direction applied to the suction nozzle. Fxd = Force in the x direction applied to the discharge nozzle. Mx = Calculated total moment about the x-axis at the center of the pump. Mxs = Moment about the x-axis applied to the suction nozzle. Frs = Resultant force applied to the suction. Mrs = Resultant moment applied to the suction.
H = Vertical distance from the centerline of the pump to the top of the discharge flange. L = Horizontal distance from the centerline of the discharge to the front of the suction flange. M = Vertical distance from the centerline of the pump to the centerline of the suction on Unitized Self-priming pumps or the horizontal distance from the centerline of the pump to the centerline of the discharge on Recessed Impeller pumps. These dimensions are listed in Figure I-4 and are shown in Figure I-5.
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Pump Division Appendix I
FIGURE I-4: Dimensional Data U.S. Customary (inches)
Metric (meters)
Pump Size H L M H 1K1.5 x 1-6 6.5 4 0 0.165 1K3 x 1.5-6 6.5 4 0 0.165 1K3 x 2-6 6.5 4 0 0.165 1K1.5 x 1LF-4 6.5 4 0 0.165 1K1.5 x 1LF-8 6.5 4 0 0.165 11K1.5 x 1-8 6.5 4 0 0.165 1K3 x 1.5-8 7.5 4 0 0.191 2K3 x 2-8 9.5 4 0 0.241 2J4 x 3-8 11 4 0 0.279 2K2 x 1-10A 8.5 4 0 0.216 2J2 x 1LF-10 8.5 4 0 0.216 2K3 x 1.5-10A 8.5 4 0 0.216 2K3 x 2-10A 9.5 4 0 0.241 2K4 x 3-10 11 4 0 0.279 2K4 x 3-10H 12.5 4 0 0.318 2K6 x 4-10 13.5 4 0 0.343 2K6 x 4-10H 13.5 4 0 0.343 2K3 x 1.5-13 10.5 4 0 0.267 2K3 x 1.5LF-13 10.5 4 0 0.267 2K3 x 2-13 11.5 4 0 0.292 2K4 x 3-13 12.5 4 0 0.318 2K4 x 3-13HH 12.5 4 0 0.318 2K6 x 4-13A 13.5 4 0 0.343 3K8 x 6-14A 16 6 0 0.406 3K10 x 8-14 18 6 0 0.457 3K6 x 4-16 16 6 0 0.406 3K8 x 6-16A 18 6 0 0.457 3K10 x 8-16 19 6 0 0.483 3K10 x 8-16H 19 6 0 0.483 3K10 x 8-17 20 6 0 0.508 1J1x5 x 1US-6 7.25 4 2.5 0.184 1K1.5 x 1.5US-8 7.875 5 4 0.200 2K2 x 1.5US-10 10 5.25 4 0.254 2K3 x 2US-10 10.5 5.25 4 0.267 2K4 x 3US-10H 12.5 5.75 5 0.318 2K3 x 2US-13 12 5.25 4 0.305 2K4 x 3US-13 13.5 5.75 5 0.343 2K6 x 4US-13A 15 6 5 0.381 1J2 x 2R-6 6.5 3.25 2.75 0.165 2K2 x 2R-10 8.5 3.5 5.25 0.216 2K3 x 3R-10 9 4.25 5.125 0.229 2K4 x 3R-13 10.5 4.125 6.625 0.267 2K6 x 4R-13 11.5 4.75 6.625 0.292 Sealmatic versions have the same dimensions and allowable loads as the above standard pumps.
L 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.102 0.152 0.152 0.152 0.152 0.152 0.152 0.152 0.102 0.127 0.133 0.133 0.146 0.133 0.146 0.152 0.083 0.089 0.108 0.105 0.121
M 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064 0.102 0.102 0.102 0.127 0.102 0.127 0.127 0.070 0.133 0.130 0.168 0.168
FIGURE I-5 M
H M
H
H
L
L
Unitized Self-Priming
Recessed Impeller
L 83
Standard, Lo-Flo, Sealmatic
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Pump Division Appendix I
PART 2 – MARK IIIA IN-LINE ALLOWABLE NOZZLE LOADS Pump Mounting Please review “Pump Mounting” in Section 9.2. 1. Free mounted pump: the pump is free to move with the piping. A. the piping supports the pump. In this case, the suction and discharge pipes should be supported close to the pump to carry the pump’s dead weight. B. The dead weight of the pump may also be supported underneath the casing foot or the optional pump stand. However, the pump is free to move with the piping in all directions except for vertically downward. In both cases, piping loads are limited only by the casing limitations. These are the recommended mounting methods as they reduce piping loads. 2. Rigid mounted pump: the pump is fixed in place and resists movement of the piping. A. The pump is supported by the optional pump stand that has been tied down to prevent pump movement. In this case, piping loads impart stress upon the casing and the pump stand. Piping loads are limited by both the casing and pump stand limitations. It may be necessary to use pipe supports to reduce loads on the pump assembly. Casing Limitations 1. To simplify or eliminate additional calculations, the In-Line casing may be treated as a spool of schedule 40 pipe with diameter equal to the discharge, length equal to the face to face dimension (SD) and material equal to that of the casing. In cases where pump movement is limited, the constraint may be placed at the center of the spool. Stress in pump flanges and bolting should not be ignored. This method allows for the use of automated piping programs to determine the acceptability of loads. 2. The casing limitations can also be determined by Hydraulic Institute Standard, ANSI/HI 9.6.2. For complete details, please review the standard. All information necessary to complete the evaluation is given below. A. Determine the appropriate casing “Material Group” from Figure I-7. B. Find the correct factor in Figure I-8 based upon the Material Group and operating temperature. Interpolation may be used to determine the correction factor for a specific temperature. C. Apply the correction factor to the allowable loads found in Figure I-9. The corrected loads are the allowable casing loads. D. Calculate the applied piping loads at the casing flanges according to the coordinate system found in Figure I-6. Please note the coordinate system used is that which has been adopted by Hydraulic Institute and is different from those previously used by Flowserve. The 12 forces and moments possible are designated as FXS, FYS, FZS, MXS, MYS, MZS, FXD, FYD, FZD, MXD, MYD, and MZD. For example, FXS designates Force in the x direction on the suction flange and FYD designates Force in the y direction on the discharge flange. MXS designates the Moment about the x-axis on the suction flange.
E. The absolute value of the applied suction loads divided by the corrected allowable loads must be less than or equal to one. Also, the absolute value of the applied discharge load divided by the corrected allowable load must be less than or equal to one. For example: FXS FXD MZD ≤ 1.0, ≤ 1.0…… ≤ 1.0 FXCorrected FXCorrected MZCorrected FIGURE I-6: Axis System Fz Mz Fy
My
Fx Fz
Suction Fy
Fx Mx
Discharge FIGURE I-7: Material Specifications Material Spec Designation Group No. 1.0 Ductile Cast Iron A395 1.1 Carbon Steel A216 2.1 Type 304 A744 2.2 Type 316 A744 2.3 Type 304L A744 Type 316L 2.4 Type 321 –– 2.8 CD-4MCu A744 CD-4MCu A890 3.1 3.2 3.4
Alloy 20 Nickel Monel
A744 A494 A744
3.5
3.7
Inconel 600 Inconel 625 Inconel 825 Hastelloy B
A744 A744 A744 A494
3.8
Hastelloy C
A494
Use 1.0
Titanium Titanium Palladium Zirconium
B367 –– B752
Grade(s) –– WCB CF-8 CF8-M CF-3 CF-3M –– CD-4MCu CD-4MCu Grade 1A, 1B CN-7M CZ-100 M-35-1 M30C M35-2 CY-40 CW-6MC Cu-5MCuC N-12MV N-7M CW-6M CW-2M CW-12MW CX-2MW C3 –– 702C
Durco Symbol DCI DS –– D4 –– D4L –– CD4M –– D20 DNI DMM DMC DM DIN –– –– –– DC2 DC3 –– –– –– Ti Ti-Pd Zr 84
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Pump Division Appendix I
FIGURE I-8: Correction Factors Temp F
Temp C
1.0
1.1
Ductile Cast Iron (20 to 650°F) -20 to 100 -20 to 38 0.89 200 93 0.83 300 150 0.78 400 205 0.73 500 260 0.69 600 315 0.65 650 344 0.63 700 370 ––
2.1
Carbon Type Steel 304
1.00 0.94 0.91 0.88 0.83 0.76 0.74 0.74
1.00 0.83 0.74 0.65 0.6 0.58 0.57 0.56
2.1 2.3 2.4 2.8 3.1 3.2 3.4 3.5 3.7 3.8 Austenitic Steels Nickel and Nickel Alloys Type Type Type CD-4MCu Alloy 20 Nickel Monel Inconel Hast B. Hast C. 316 304L 321 (-20 to Type 600°F) 316L 1.00 0.83 1.00 1.00 0.83 0.5 0.83 1.00 1.00 1.00 0.86 0.7 0.98 1.00 0.77 0.5 0.74 0.93 1.00 1.00 0.78 0.63 0.83 1.00 0.73 0.5 0.69 0.89 1.00 1.00 0.72 0.58 0.69 0.98 0.67 0.5 0.67 0.85 0.98 0.98 0.67 0.53 0.64 0.92 0.65 0.5 0.66 0.83 0.92 0.92 0.63 0.5 0.6 0.84 0.63 0.5 0.66 0.8 0.84 0.84 0.62 0.49 0.6 0.82 0.63 –– 0.66 0.78 0.82 0.82 0.6 0.48 0.58 0.79 0.62 –– 0.66 0.77 0.79 0.79
FIGURE I-9: Dimensional Data and Casing Limitations Dimensions (Feet)
2x1.5V-6 2x1.5V-8 3x2V-7 2x1.5V-10A 3x2V-10 4x3V-10 3x2V-13 4x3V-13 6x4V-13
SD 1.25 1.42 1.42 1.58 1.67 2.08 2.00 2.33 2.50
SRD 0.63 0.75 0.67 0.75 0.79 0.96 0.96 1.08 1.17
SRS 0.63 0.67 0.75 0.83 0.88 1.13 1.04 1.25 1.33
RS 0.53 0.53 0.53 0.65 0.65 0.65 0.81 0.81 0.81
FX 410 360 635 320 540 638 450 570 350
RS 0.163 0.163 0.163 0.197 0.197 0.197 0.248 0.248 0.248
Allowable Casing Loads (Suction or Discharge) Forces (Newton) Moments (Nm) FX FY FZ MX MY MZ 1824 17685 1824 692 976 692 1601 17685 1601 692 976 692 2824 28147 2824 1220 1722 1220 1423 17685 1423 692 976 692 2402 28147 2402 1220 1722 1220 2838 28147 2838 1803 2549 1803 2002 28147 2002 1220 1722 1220 2535 28147 2535 1803 2549 1803 1557 83195 2891 2210 3119 2210
Dimensions (Meter)
2x1.5V-6 2x1.5V-8 3x2V-7 2x1.5V-10A 3x2V-10 4x3V-10 3x2V-13 4x3V-13 6x4V-13
85
SD 0.381 0.432 0.432 0.483 0.508 0.635 0.61 0.711 0.762
SRD 0.191 0.229 0.203 0.229 0.241 0.292 0.292 0.33 0.356
SRS 0.191 0.203 0.229 0.254 0.267 0.343 0.318 0.381 0.406
Allowable Casing Loads (Suction or Discharge) Forces (lbf) Moments (lbf•ft) FY FZ MX MY MZ 3976 410 510 720 510 3976 360 510 720 510 6328 635 900 1270 900 3976 320 510 720 510 6328 540 900 1270 900 6328 638 1330 1880 1330 6328 450 900 1270 900 6328 570 1330 1880 1330 18704 650 1630 2300 1630
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Pump Division Appendix I
Pump Stand Limitations In cases where the pump is rigidly mounted by the pump stand, both the casing limitations and the pump stand limitations must be met. Due to the limited load capacity of the pump stands, it may be necessary to restrain the piping to prevent excessive loads. A. Ensure all applied loads are within the allowable limits of the casing. B. Translate the flange loads using the formulae found in Figure I-10. Dimensional variables SRS, SRD and RS can be found in Figure I-9. C. Calculate FT and FN using the formulae found in Figure I-10. D. FT and FN must be less than FT MAX and FN MAX found in Figure I-11. E. FT and FN must meet the combination formulae found in Figure I-11. Figure I-10: Pump Stand Load Translation Formulae Forces FXC = FXS + FXD FYC = FYS + FYD FZC = FZS + FZD
FT =
FN =
Moments MXC = MXS + MXD + (FZS•SRS) - (FZD•SRD) MYC = MYS + MYD MZC = MZS + MZD - (FXS•SRS) + (FXD•SRD)
√[ ( FXC +
FZC +
0.707 * MZC RS
MXC + MYC .707 RS
)]
2
+
[ (
0.707 * MZC
FYC +
RS
)]
2
≤ FT MAX
≤ FN MAX
FIGURE I-11: Allowable Stand Loading
GP1 Pumps GP2 10 Inch Pumps GP2 13 Inch Pumps
GP1 Pumps GP2 10 Inch Pumps GP2 13 Inch Pumps
FT MAX lbf
FN MAX lbf
Combination Loading lbf
1,800
24,400
FN + (13.556)FT ≤ 24400
1,827
27,004
FN + (0.0086)FT – (0.941) FT ≤ 27004
1,535
31,579
FN + (0.0079)FT – (8.453) FT ≤ 31579
FT MAX N
FN MAX N
Combination Loading N
8,020
108,531 FN + (13.556) FT ≤ 108531
8,129
120,115 FN + (0.0019)FT – (0.941) FT ≤ 120115
6,792
140,461 FN + (0.0018)FT – (8.453) FT ≤ 140461
2
2
2
2
86
