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12 in NPS x 150 psig Horizontal Separator

ASME Section VIII Div. 1, 2023 Edition | Two-phase separator | NPS 12 Sch 40 shell, 2:1 ellipsoidal heads, two saddles

This worked example documents the ASME Section VIII Division 1 design of a 12 in NPS Sch 40 horizontal two-phase separator at 150 psig and 200 °F. The vessel uses a rolled-and-welded SA-516 Grade 70 Normalized shell, two 2:1 ellipsoidal heads, five Class 150 RFWN flange connections, and a pair of saddle supports at 120 ° wrap angle spaced 24 in inside each head tangent. The published vessel MAWP is 240 psig at 200 °F, set by the Class 150 flange rating per ASME B16.5 Group 1.1.

The analysis follows the 2023 Edition of ASME Section VIII Division 1. Every code clause used in the rating is listed in section 4. Section 5 contains five worked numerical examples: the shell wall thickness (UG-27), the 2:1 ellipsoidal head thickness (UG-32(d)), the vessel MAWP set by the flange P-T rating (UG-44 with B16.5), the NPS 4 inlet nozzle reinforcement (UG-37), and the Zick saddle analysis (Appendix G-1, longitudinal bending S1 worked out and the remaining four Zick stresses tabulated). This page is a generic worked example, not a project record, and should not be used as the basis for a built unit.

Code
ASME VIII Div 1, 2023
Design Pressure
150 psig
Design Temperature
200 °F
Design MDMT
-20 °F
Rated MDMT
-55 °F at MAWP
MAWP
240 psig (flange-limited)
Shell
NPS 12 Sch 40, SA-516-70 N
Heads
2:1 SE, 0.375 in SA-516-70 N
Saddle Supports
Two, 120 ° wrap, 6 in wide
Corrosion Allowance
0.0625 in
Empty Weight, New
745 lb
Hydrotest
312 psig (shop)
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Calculation Walkthrough

Five sections. Each section is a collapsible block. Open to read the full design basis, summary tables, materials, code clause index, and the worked numerical examples for this configuration.

1. Design Basis and Code Compliance

Design Conditions

ParameterValueReference
Code of constructionASME Section VIII Division 1, 2023 EditionU-1, U-2
Equipment typeHorizontal two-phase separator on two saddles
Design pressure150 psigUG-21
Design temperature200 °FUG-20(a)
Design MDMT-20 °FUG-20(b), UCS-66
Corrosion allowance0.0625 in (internal surfaces)UG-25
Joint efficiency, shell1.00 (full RT on long seam, or seamless pipe per Table UW-12)UW-12
Joint efficiency, heads1.00 (one-piece formed)UW-12
RadiographyFull RT on Cat. A welds (shell long seam + head-to-shell circumferentials), surface NDE on nozzle weldsUW-11, UW-50
ServiceNon-lethal, non-cyclic, two-phase gas-liquid (gas continuous)UG-22, UW-2

Loadings Considered (UG-22)

The vessel is analyzed for the loadings listed in UG-22. Governing loads for this configuration are:

  • Internal design pressure of 150 psig at 200 °F.
  • Weight of the vessel and its contents at design and at hydrostatic test, distributed across two saddle supports.
  • Saddle reactions transmitted into the shell, evaluated by the Zick saddle method per the nonmandatory Appendix G-1.
  • Skid-mounted, indoor or sheltered installation. Wind and seismic loadings are screened out for this configuration; they are addressed on larger horizontal separators in companion pages.

The vessel is non-cyclic per UG-22(e) screening, so an explicit fatigue check is not required.

Toughness Basis

The Minimum Design Metal Temperature is -20 °F at the full design pressure of 150 psig. Each pressure-boundary component is qualified to the design MDMT by the methods of UCS-66 and UCS-66.1:

  • Shell, SA-516 Grade 70 Normalized. Curve D per Table UCS-66. Required MDMT at 0.406 in nominal wall is approximately -55 °F at no impact testing.
  • Heads, SA-516 Grade 70 Normalized, 2:1 ellipsoidal. Curve D. Required MDMT at 0.375 in nominal is approximately -55 °F.
  • Nozzle necks and flanges, SA-105 forgings and SA-106 Grade B pipe. Curve B. Required MDMT bounded by the head treatment after the UCS-66.1 stress-ratio reduction.

The shell and head govern the published rated MDMT. The vessel is rated to -55 °F at full MAWP. With a stress-ratio reduction from the flange-limited MAWP of 240 psig, the rated MDMT could be moved colder still; the no-credit value of -55 °F is the conservative published rating.

Hydrostatic Test Basis

The shop hydrostatic test follows UG-99(b). Test pressure is 1.3 times MAWP at design temperature multiplied by the lowest stress ratio across pressure-boundary components, with water at 70 °F in the horizontal as-shipped orientation:

P_test = 1.3 × MAWP × LSR = 1.3 × 240 × 1.00 = 312 psig

SA-516 Grade 70 and SA-105 do not derate below 300 °F, so the material stress ratio is 1.00. The B16.5 Group 1.1 Class 150 flange rating is higher at the 70 °F test temperature (285 psig) than at the 200 °F design temperature (240 psig), so the flange ratio is favorable for test and is not the lowest ratio. Using LSR = 1.00 keeps the test at the standard UG-99(b) value.

2. Pressure and Thickness Summary

Pressure by Component

ComponentMaterialt_req (in)t_avail (in)MAWP (psig)Clause
Cylindrical shellSA-516 Gr 70 N0.0460.293936UG-27(c)(1)
2:1 ellipsoidal heads (each)SA-516 Gr 70 N0.0460.282923UG-32(d)
Cl 150 RFWN flanges (5)SA-105standardstandard240UG-44, B16.5 Gp 1.1
NPS 4 inlet nozzle neckSA-106 Gr B0.0150.232matches shellUG-27(c)(1), UG-45
NPS 3 / NPS 2 / NPS 1.5 nozzle necksSA-106 Gr B< 0.020> 0.150matches shellUG-27(c)(1), UG-45
NPS 1 instrument couplingSA-105exempt0.250 bodymatches shellUG-36(c)(3), UG-43

The Class 150 RFWN flanges govern the vessel MAWP at 240 psig at 200 °F. The shell and heads are capable of 923 to 936 psig, so the pressure-retaining capacity sits well above the flange P-T rating. Moving to a Class 300 flange (740 psig at 200 °F) would lift the vessel MAWP toward the shell-and-head limit; for a 150 psig design the Class 150 flange is the obvious selection.

Governing Thickness, UG-16(b)

Per UG-16(b), the minimum required thickness of any pressure-retaining wall is the larger of the calculated required thickness and 0.0625 in (1/16 in). All components meet UG-16(b) by a wide margin. The shell at 0.293 in (corroded, mill-min) sits 0.230 in above the UG-16(b) floor; the heads at 0.282 in (after the typical 10% forming thinning and corrosion allowance) sit 0.220 in above.

Hydrostatic Test Summary

ComponentCalc Stress at 312 psig (psi)0.9 × S_y at 70 °F (psi)Status
Shell, UG-99 Note 356,48534,200PASS
Heads6,72034,200PASS
Cl 150 flange (B16.5 rating)312 psig (above 285 psig cold rating)standard productPASS

Calculated test stresses on the shell and heads are an order of magnitude below the 0.9 × S_y limit of UG-99(b) Note 35. The flange test pressure of 312 psig is just above the Class 150 cold rating of 285 psig at the 70 °F test temperature; UG-99(b) permits test pressures to exceed the standard P-T rating during the controlled hydrotest as long as the flange-bolt stress stays below 0.9 × S_y, which the standard Class 150 stud-bolt arrangement satisfies for this small flange size.

3. Materials and Construction

Material Schedule

ComponentSpecificationS at 200 °F (psi)UCS-66 CurveForm
ShellSA-516 Grade 70, normalized20,000D0.406 in plate, rolled and welded long seam
Heads (2 ea.)SA-516 Grade 70, normalized20,000D2:1 ellipsoidal, one-piece formed, 0.375 in nominal
Nozzle necksSA-106 Grade B, seamless17,100BNPS 4 / 3 / 2 / 1.5 Schedule 80 pipe
FlangesSA-10517,500BASME B16.5 RFWN, Class 150, all five process nozzles
Instrument couplingSA-10517,500BNPS 1 Class 6000 threaded coupling, ASME B16.11
BoltingSA-193 Gr B7 studs, SA-194 Gr 2H nuts25,000n/astandard B16.5 stud-and-nut sets
SaddlesSA-36 platen/an/a120 ° saddle wrap, 6 in saddle width, two skid-mounted

Nozzle Schedule

TagFunctionSize and ClassLocationTypeWeld
N1Process inletNPS 4 Cl 150 RFWN, Sch 80 neckShell, topSet-in radial, no repad requiredFull pen + fillet per UW-16(f)
N2Gas outletNPS 3 Cl 150 RFWN, Sch 80 neckShell, topSet-in radial, exempt per UG-36(c)(3)(a)Full pen + fillet per UW-16(f)
N3Liquid outletNPS 2 Cl 150 RFWN, Sch 80 neckShell, bottomSet-in radial, exempt per UG-36(c)(3)(a)Full pen + fillet per UW-16(f)
N4Pressure-relief (PSV)NPS 1.5 Cl 150 RFWN, Sch 80 neckShell, topSet-in radial, exemptFull pen + fillet per UW-16(f)
N5Level-bridle instrumentNPS 1 Cl 6000 threaded half-couplingHead (one each end)Set-on, exemptFull pen + fillet per UW-16(f)

Four of the five openings are below the size limit of UG-36(c)(3)(a) (3.5 in finished diameter on a shell of 0.293 in corroded wall) and are exempt from detailed UG-37 reinforcement calculation. The NPS 4 inlet exceeds that limit (4.151 in finished diameter, corroded) and requires a UG-37 area check, written out as worked example 4 in section 5.

Radiography

The Category A long seam in the shell is examined by full radiography per UW-11(a)(1), giving E = 1.00. The Category A circumferential head-to-shell welds are also fully radiographed. The seamless one-piece formed heads carry E = 1.00 in Table UW-12 without further examination. Nozzle attachment welds are examined by surface NDE (MT or PT) per UW-50.

Dimensional Summary

ItemValue
Shell OD12.750 in (NPS 12)
Shell wall, nominal (Sch 40)0.406 in
Shell wall, mill-min (-12.5%)0.355 in
Shell wall, corroded (mill-min less CA)0.293 in
Shell tangent-to-tangent length144 in (12 ft)
Head nominal thickness0.375 in
Head minimum after forming (typ. 10% thinning)0.345 in
Head minimum corroded0.282 in
Head depth, D/4 (2:1 ellipsoidal)3.04 in (inside crown)
Saddle wrap angle120 °
Saddle width6 in
Saddle location, A (head tangent to saddle centerline)24 in
Saddle span (centerline to centerline)96 in
Internal volume, new (shell + 2 heads)17,700 in³ (77 US gal)
Empty weight, new (shell + heads + saddles + nozzles)745 lb
Empty weight, corroded695 lb
Test weight, water-filled1,385 lb
4. Calculations Performed (Code Clause Index)

Every clause applied in the analysis, grouped by topic. The substitutions and results for the most-asked clauses are written out in section 5.

Wall Thickness

ClauseComponentUse
UG-16(b)AllMinimum required thickness floor of 0.0625 in
UG-23AllAllowable stress tables, S-values at design temperature
UG-25AllCorrosion allowance, 0.0625 in on internal surfaces
UG-27(c)(1)Cylindrical shell, nozzle necksRequired thickness for internal pressure, circumferential stress
UG-32(d)2:1 ellipsoidal headsRequired thickness for internal pressure, K = 1.00 for the 2:1 aspect ratio
UG-32(o)Instrument couplings on headsNozzle openings in formed heads, exempt by size

Nozzle Reinforcement and Standard Fittings

ClauseUse
UG-36(c)(3)(a)Exempts the NPS 3, NPS 2, NPS 1.5 process openings and the NPS 1 instrument coupling on a 0.293 in corroded shell from detailed UG-37 reinforcement calculation. The NPS 4 inlet is above the limit and requires UG-37.
UG-37Area replacement procedure, run on the NPS 4 inlet
UG-41Strength of reinforcement, not invoked because no repad is required (A1 alone exceeds A_required by 4.3 times)
UG-43(a)Threaded openings, NPS 1 half-coupling permitted
UG-44Flanges and pipe fittings, ASME B16.5 RFWN Class 150 accepted at the standard P-T rating. This clause is where the vessel MAWP is established.
UG-45Nozzle minimum-thickness check on each neck (each Sch 80 nozzle exceeds the UG-45 floor by more than two times)

Welds

ClauseUse
UW-9Design of welded joints, Category A long seam and head-to-shell circumferentials
UW-11(a)(1)Full radiography on all Category A welds
Table UW-12Joint efficiency E = 1.00 for fully radiographed butt welds and one-piece formed heads
UW-15Strength of attachment welds, nozzle to shell
UW-16Minimum requirements for nozzle attachment welds, including the full-penetration plus fillet detail per UW-16(f)
UW-50Final NDE on nozzle attachment welds (MT or PT, full surface)

Supports and Loadings

ClauseUse
UG-22Loadings considered: pressure, weight of vessel and contents, saddle reactions
Appendix G-1 (nonmandatory)Zick saddle analysis for two-saddle horizontal vessels: S1 longitudinal bending, S2 tangential shear, S3 circumferential bending at saddle horn, S4 additional stress in head used as stiffener, S5 ring compression in shell at saddle horn

Toughness

ClauseUse
UCS-66Required MDMT at the actual component thickness, Fig UCS-66 curves
UCS-66.1Stress-ratio MDMT reduction, available but not taken (no-credit rating is colder than the design MDMT)

Hydrostatic Test

ClauseUse
UG-99(b)Standard hydrostatic test, 1.3 × MAWP × LSR
UG-99(b) Note 35Stress at test pressure check against 0.9 × S_y

Marking and Reports

ClauseUse
UG-116Nameplate marking, U stamp
UG-118Nameplate location and attachment
UG-120(c)Manufacturer's Data Report, Form U-1A
5. Worked Examples (Numerical)

Five worked examples. Each shows the inputs, the equation, the substitution with units, and the result. Example numbering is independent of the clause numbers used elsewhere on the page.

Example 1. Shell Wall Thickness, UG-27(c)(1)

Required thickness of the SA-516 Grade 70 Normalized cylindrical shell under 150 psig at 200 °F.

SymbolValueSource
P150 psigDesign pressure
R6.082 inInside radius, corroded: ½ × (12.75 - 2 × (0.355 - 0.0625))
S20,000 psiSA-516 Gr 70 at 200 °F, ASME II-D Table 1A
E1.00Full RT long seam, Table UW-12
UG-27(c)(1): t = P R / (S E - 0.6 P) t = 150 × 6.082 / (20,000 × 1.00 - 0.6 × 150) t = 912.3 / (20,000 - 90) t = 912.3 / 19,910 t = 0.0458 in

Adding corrosion allowance gives t_total = 0.0458 + 0.0625 = 0.108 in required. Mill-minimum supplied is 0.355 in, which leaves 0.293 in available after corrosion. PASS, with 0.247 in margin between t_avail and t_total. The shell is not the governing component.

Shell MAWP at corroded thickness 0.293 in: P_max = S E t / (R + 0.6 t) P_max = 20,000 × 1.00 × 0.293 / (6.082 + 0.6 × 0.293) P_max = 5,860 / (6.082 + 0.176) P_max = 5,860 / 6.258 P_max = 936 psig

Shell MAWP is 936 psig, six times the design pressure.

Example 2. Head Thickness, 2:1 Ellipsoidal per UG-32(d)

Required thickness of the SA-516 Grade 70 Normalized 2:1 ellipsoidal head under 150 psig at 200 °F.

SymbolValueSource
P150 psigDesign pressure
D12.165 inInside diameter at the head skirt (shell ID, corroded)
S20,000 psiSA-516 Gr 70 at 200 °F
E1.00One-piece formed head, Table UW-12
K1.002:1 ellipsoidal aspect ratio, UG-32(d)
UG-32(d): t = P D K / (2 S E - 0.2 P) t = 150 × 12.165 × 1.00 / (2 × 20,000 × 1.00 - 0.2 × 150) t = 1,824.8 / (40,000 - 30) t = 1,824.8 / 39,970 t = 0.0457 in

Adding corrosion allowance gives t_req = 0.0457 + 0.0625 = 0.108 in. The nominal head thickness ordered is 0.375 in. After the typical 10% forming thinning at the knuckle and the corrosion allowance, the minimum thickness in service is 0.282 in. PASS with 0.174 in margin.

Head MAWP at minimum formed corroded thickness 0.282 in: P_max = 2 S E t / (D + 0.2 t) P_max = 2 × 20,000 × 1.00 × 0.282 / (12.165 + 0.2 × 0.282) P_max = 11,280 / (12.165 + 0.056) P_max = 11,280 / 12.221 P_max = 923 psig

Head MAWP is 923 psig, six times the design pressure.

Example 3. Vessel MAWP Set by Cl 150 Flange Rating, UG-44

The shell and heads are both rated near 925 psig, but the pressure-retaining capacity of the vessel cannot exceed the lowest-rated pressure-boundary component. Per UG-44, ASME B16.5 flanges are accepted at their standard pressure-temperature rating. All five process nozzles use ASME B16.5 Class 150 raised-face weld-neck flanges in Material Group 1.1 (carbon steel SA-105).

ItemValueSource
Flange standardASME B16.5Referenced by UG-44
Class150Selected for the 150 psig design pressure
Material group1.1 (carbon steel)SA-105 forgings
Cl 150 P-T rating at 70 °F285 psigB16.5 Table 2-1.1
Cl 150 P-T rating at 200 °F240 psigB16.5 Table 2-1.1
Cl 150 P-T rating at 300 °F215 psigB16.5 Table 2-1.1, for reference
Vessel MAWP at design temperature: MAWP_vessel = min(MAWP_shell, MAWP_head, MAWP_flange) = min(936, 923, 240) = 240 psig at 200 °F

The flanges set the vessel MAWP at 240 psig, well below the shell and head capacity. PASS against the 150 psig design pressure. A move to Class 300 flanges (740 psig at 200 °F) would lift the vessel MAWP toward the shell-and-head limit; for a 150 psig design the Class 150 flange is the correct selection and the resulting MAWP of 240 psig is the published vessel rating.

Example 4. NPS 4 Inlet Nozzle Reinforcement, UG-37

The process inlet is a NPS 4 Class 150 RFWN flange on a Sch 80 neck. The finished opening (4.151 in corroded bore) exceeds the UG-36(c)(3)(a) exemption limit of 3.5 in for a shell of 0.293 in corroded wall, so a UG-37 area-replacement calculation is required.

SymbolValueSource
d4.151 inFinished opening, NPS 4 ID corroded: 4.026 + 2 × 0.0625
t_r0.0458 inShell required thickness from Example 1, F = 1.0
t0.293 inShell wall, corroded mill-min
t_n0.232 inNPS 4 Sch 80 wall, corroded mill-min: 0.337 × 0.875 - 0.0625
F1.00Radial opening in cylindrical shell, Fig UG-37
f_r10.855S_n / S_v = 17,100 / 20,000 (SA-106 Gr B nozzle in SA-516-70 shell)
UG-37 area required: A = d × t_r × F + 2 × t_n × t_r × F × (1 - f_r1) A = 4.151 × 0.0458 × 1.00 + 2 × 0.232 × 0.0458 × 1.00 × (1 - 0.855) A = 0.1901 + 0.00308 A = 0.193 in²
Area available in shell (A1), larger of: A1a = d × (E1 t - F t_r) = 4.151 × (1.00 × 0.293 - 1.00 × 0.0458) = 4.151 × 0.2472 = 1.026 in² A1b = 2 × (t + t_n) × (E1 t - F t_r) = 2 × (0.293 + 0.232) × 0.2472 = 0.260 in² A1 = max(A1a, A1b) = 1.026 in²

A1 alone (1.026 in²) exceeds A_required (0.193 in²) by 4.3 times. PASS. No reinforcing pad is required. Nozzle wall excess area (A2) and weld leg area (A3) are not needed and are not computed.

For the other four openings (NPS 3, NPS 2, NPS 1.5, NPS 1), the finished diameter is below the 3.5 in exemption limit of UG-36(c)(3)(a), so UG-37 is not required. A check on the largest of those (NPS 3 at 3.07 in finished diameter) would give A_req < 0.15 in² against the same A1 > 0.75 in², so the exemption is conservative.

Example 5. Zick Saddle Analysis, Longitudinal Bending Stress S1

The horizontal vessel is supported on two saddles equally spaced from each end. Saddle reactions are evaluated per the nonmandatory Appendix G-1 using the Zick procedure. Five stresses are checked: S1 longitudinal bending at the saddle and at midspan, S2 tangential shear, S3 circumferential bending at the saddle horn, S4 additional stress in the head where it acts as a stiffener, S5 ring compression in the shell at the saddle horn. S1 at midspan is worked out below; the remaining four are summarized in the table that follows.

SymbolValueSource
W1,385 lbTotal test weight (vessel full of water)
Q692 lbReaction per saddle, W/2
L144 inTangent-to-tangent length
R6.172 inMean shell radius, (OD - t_nom)/2
H3.04 inHead depth (2:1 ellipsoidal, D/4)
A24 inHead tangent to saddle centerline
θ120 °Saddle wrap angle
t0.293 inShell wall, corroded mill-min
Zick longitudinal bending moment at midspan (Zick Eq. 4): M_mid = Q L / 4 × [(1 + 2(R² - H²)/L²) / (1 + 4H/(3L))] - Q A M_mid = 692 × 144 / 4 × [(1 + 2(38.1 - 9.24)/20,736) / (1 + 4(3.04)/432)] - 692 × 24 M_mid = 24,912 × [1.00278 / 1.0282] - 16,608 M_mid = 24,912 × 0.9753 - 16,608 M_mid = 24,302 - 16,608 M_mid = 7,694 in-lb
Shell section modulus: I = π R³ t = π × (6.172)³ × 0.293 = 217 in&sup4; Z = I / R = 217 / 6.172 = 35.2 in³ S1 = M_mid / Z = 7,694 / 35.2 = 219 psi

The Zick longitudinal bending stress at midspan is 219 psi, two orders of magnitude below the UG-23 allowable stress of 20,000 psi at design temperature. PASS with very large margin.

Zick stressCalculated (psi)Allowable (psi)Status
S1, longitudinal bending at midspan21920,000 (S)PASS
S1, longitudinal bending over saddle16520,000 (S)PASS
S2, tangential shear18016,000 (0.8 S)PASS
S3, circumferential bending at saddle horn1,15025,000 (1.25 S)PASS
S4, additional stress in head (head as stiffener)n/a, A < R/2 satisfied1.25 SPASS
S5, ring compression at saddle horn62010,000 (0.5 S_y)PASS

All five Zick stresses pass with very large margins on this 12 in NPS vessel. For larger horizontal separators (the 36 in OD three-phase separator on a companion page is a good comparison), the Zick stresses climb into the same order of magnitude as the allowables and become the governing design check. On this small unit, the Zick analysis is a formality and the saddle plates are sized for fabrication and shipping convenience rather than for stress.

About this example

12 in NPS horizontal two-phase separators at 150 psig design pressure are common in upstream and midstream gas processing as wellhead test separators, fuel-gas knockouts, and skid-mounted package separators. The configuration uses standard pipe-and-plate construction, a pair of saddle supports, and Class 150 RFWN process flanges. The teaching value of the example is the contrast between the shell and heads (both rated above 900 psig) and the Class 150 flanges (rated 240 psig at 200 °F), which set the vessel MAWP. A move to Class 300 flanges would lift the vessel rating toward 740 psig at the same temperature; the choice of flange class is the single largest lever on the published vessel MAWP for this size of separator.

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Cyclogen5D · Calgary, Canada · ASME Section VIII Div. 1 design, FEA, and CFD for separation and pressure equipment. This page is a generic worked example for educational and reference use. Numerical values illustrate a typical configuration and should not be used as the basis for any built equipment. Project work is sealed under the engineering authority of the project of record.