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.
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.
| Parameter | Value | Reference |
|---|---|---|
| Code of construction | ASME Section VIII Division 1, 2023 Edition | U-1, U-2 |
| Equipment type | Horizontal two-phase separator on two saddles | |
| Design pressure | 150 psig | UG-21 |
| Design temperature | 200 °F | UG-20(a) |
| Design MDMT | -20 °F | UG-20(b), UCS-66 |
| Corrosion allowance | 0.0625 in (internal surfaces) | UG-25 |
| Joint efficiency, shell | 1.00 (full RT on long seam, or seamless pipe per Table UW-12) | UW-12 |
| Joint efficiency, heads | 1.00 (one-piece formed) | UW-12 |
| Radiography | Full RT on Cat. A welds (shell long seam + head-to-shell circumferentials), surface NDE on nozzle welds | UW-11, UW-50 |
| Service | Non-lethal, non-cyclic, two-phase gas-liquid (gas continuous) | UG-22, UW-2 |
The vessel is analyzed for the loadings listed in UG-22. Governing loads for this configuration are:
The vessel is non-cyclic per UG-22(e) screening, so an explicit fatigue check is not required.
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:
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.
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:
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.
| Component | Material | t_req (in) | t_avail (in) | MAWP (psig) | Clause |
|---|---|---|---|---|---|
| Cylindrical shell | SA-516 Gr 70 N | 0.046 | 0.293 | 936 | UG-27(c)(1) |
| 2:1 ellipsoidal heads (each) | SA-516 Gr 70 N | 0.046 | 0.282 | 923 | UG-32(d) |
| Cl 150 RFWN flanges (5) | SA-105 | standard | standard | 240 | UG-44, B16.5 Gp 1.1 |
| NPS 4 inlet nozzle neck | SA-106 Gr B | 0.015 | 0.232 | matches shell | UG-27(c)(1), UG-45 |
| NPS 3 / NPS 2 / NPS 1.5 nozzle necks | SA-106 Gr B | < 0.020 | > 0.150 | matches shell | UG-27(c)(1), UG-45 |
| NPS 1 instrument coupling | SA-105 | exempt | 0.250 body | matches shell | UG-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.
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.
| Component | Calc Stress at 312 psig (psi) | 0.9 × S_y at 70 °F (psi) | Status |
|---|---|---|---|
| Shell, UG-99 Note 35 | 6,485 | 34,200 | PASS |
| Heads | 6,720 | 34,200 | PASS |
| Cl 150 flange (B16.5 rating) | 312 psig (above 285 psig cold rating) | standard product | PASS |
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.
| Component | Specification | S at 200 °F (psi) | UCS-66 Curve | Form |
|---|---|---|---|---|
| Shell | SA-516 Grade 70, normalized | 20,000 | D | 0.406 in plate, rolled and welded long seam |
| Heads (2 ea.) | SA-516 Grade 70, normalized | 20,000 | D | 2:1 ellipsoidal, one-piece formed, 0.375 in nominal |
| Nozzle necks | SA-106 Grade B, seamless | 17,100 | B | NPS 4 / 3 / 2 / 1.5 Schedule 80 pipe |
| Flanges | SA-105 | 17,500 | B | ASME B16.5 RFWN, Class 150, all five process nozzles |
| Instrument coupling | SA-105 | 17,500 | B | NPS 1 Class 6000 threaded coupling, ASME B16.11 |
| Bolting | SA-193 Gr B7 studs, SA-194 Gr 2H nuts | 25,000 | n/a | standard B16.5 stud-and-nut sets |
| Saddles | SA-36 plate | n/a | n/a | 120 ° saddle wrap, 6 in saddle width, two skid-mounted |
| Tag | Function | Size and Class | Location | Type | Weld |
|---|---|---|---|---|---|
| N1 | Process inlet | NPS 4 Cl 150 RFWN, Sch 80 neck | Shell, top | Set-in radial, no repad required | Full pen + fillet per UW-16(f) |
| N2 | Gas outlet | NPS 3 Cl 150 RFWN, Sch 80 neck | Shell, top | Set-in radial, exempt per UG-36(c)(3)(a) | Full pen + fillet per UW-16(f) |
| N3 | Liquid outlet | NPS 2 Cl 150 RFWN, Sch 80 neck | Shell, bottom | Set-in radial, exempt per UG-36(c)(3)(a) | Full pen + fillet per UW-16(f) |
| N4 | Pressure-relief (PSV) | NPS 1.5 Cl 150 RFWN, Sch 80 neck | Shell, top | Set-in radial, exempt | Full pen + fillet per UW-16(f) |
| N5 | Level-bridle instrument | NPS 1 Cl 6000 threaded half-coupling | Head (one each end) | Set-on, exempt | Full 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.
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.
| Item | Value |
|---|---|
| Shell OD | 12.750 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 length | 144 in (12 ft) |
| Head nominal thickness | 0.375 in |
| Head minimum after forming (typ. 10% thinning) | 0.345 in |
| Head minimum corroded | 0.282 in |
| Head depth, D/4 (2:1 ellipsoidal) | 3.04 in (inside crown) |
| Saddle wrap angle | 120 ° |
| Saddle width | 6 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, corroded | 695 lb |
| Test weight, water-filled | 1,385 lb |
Every clause applied in the analysis, grouped by topic. The substitutions and results for the most-asked clauses are written out in section 5.
| Clause | Component | Use |
|---|---|---|
| UG-16(b) | All | Minimum required thickness floor of 0.0625 in |
| UG-23 | All | Allowable stress tables, S-values at design temperature |
| UG-25 | All | Corrosion allowance, 0.0625 in on internal surfaces |
| UG-27(c)(1) | Cylindrical shell, nozzle necks | Required thickness for internal pressure, circumferential stress |
| UG-32(d) | 2:1 ellipsoidal heads | Required thickness for internal pressure, K = 1.00 for the 2:1 aspect ratio |
| UG-32(o) | Instrument couplings on heads | Nozzle openings in formed heads, exempt by size |
| Clause | Use |
|---|---|
| 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-37 | Area replacement procedure, run on the NPS 4 inlet |
| UG-41 | Strength 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-44 | Flanges 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-45 | Nozzle minimum-thickness check on each neck (each Sch 80 nozzle exceeds the UG-45 floor by more than two times) |
| Clause | Use |
|---|---|
| UW-9 | Design 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-12 | Joint efficiency E = 1.00 for fully radiographed butt welds and one-piece formed heads |
| UW-15 | Strength of attachment welds, nozzle to shell |
| UW-16 | Minimum requirements for nozzle attachment welds, including the full-penetration plus fillet detail per UW-16(f) |
| UW-50 | Final NDE on nozzle attachment welds (MT or PT, full surface) |
| Clause | Use |
|---|---|
| UG-22 | Loadings 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 |
| Clause | Use |
|---|---|
| UCS-66 | Required MDMT at the actual component thickness, Fig UCS-66 curves |
| UCS-66.1 | Stress-ratio MDMT reduction, available but not taken (no-credit rating is colder than the design MDMT) |
| Clause | Use |
|---|---|
| UG-99(b) | Standard hydrostatic test, 1.3 × MAWP × LSR |
| UG-99(b) Note 35 | Stress at test pressure check against 0.9 × S_y |
| Clause | Use |
|---|---|
| UG-116 | Nameplate marking, U stamp |
| UG-118 | Nameplate location and attachment |
| UG-120(c) | Manufacturer's Data Report, Form U-1A |
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.
Required thickness of the SA-516 Grade 70 Normalized cylindrical shell under 150 psig at 200 °F.
| Symbol | Value | Source |
|---|---|---|
| P | 150 psig | Design pressure |
| R | 6.082 in | Inside radius, corroded: ½ × (12.75 - 2 × (0.355 - 0.0625)) |
| S | 20,000 psi | SA-516 Gr 70 at 200 °F, ASME II-D Table 1A |
| E | 1.00 | Full RT long seam, Table UW-12 |
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 is 936 psig, six times the design pressure.
Required thickness of the SA-516 Grade 70 Normalized 2:1 ellipsoidal head under 150 psig at 200 °F.
| Symbol | Value | Source |
|---|---|---|
| P | 150 psig | Design pressure |
| D | 12.165 in | Inside diameter at the head skirt (shell ID, corroded) |
| S | 20,000 psi | SA-516 Gr 70 at 200 °F |
| E | 1.00 | One-piece formed head, Table UW-12 |
| K | 1.00 | 2:1 ellipsoidal aspect ratio, UG-32(d) |
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 is 923 psig, six times the design pressure.
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).
| Item | Value | Source |
|---|---|---|
| Flange standard | ASME B16.5 | Referenced by UG-44 |
| Class | 150 | Selected for the 150 psig design pressure |
| Material group | 1.1 (carbon steel) | SA-105 forgings |
| Cl 150 P-T rating at 70 °F | 285 psig | B16.5 Table 2-1.1 |
| Cl 150 P-T rating at 200 °F | 240 psig | B16.5 Table 2-1.1 |
| Cl 150 P-T rating at 300 °F | 215 psig | B16.5 Table 2-1.1, for reference |
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.
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.
| Symbol | Value | Source |
|---|---|---|
| d | 4.151 in | Finished opening, NPS 4 ID corroded: 4.026 + 2 × 0.0625 |
| t_r | 0.0458 in | Shell required thickness from Example 1, F = 1.0 |
| t | 0.293 in | Shell wall, corroded mill-min |
| t_n | 0.232 in | NPS 4 Sch 80 wall, corroded mill-min: 0.337 × 0.875 - 0.0625 |
| F | 1.00 | Radial opening in cylindrical shell, Fig UG-37 |
| f_r1 | 0.855 | S_n / S_v = 17,100 / 20,000 (SA-106 Gr B nozzle in SA-516-70 shell) |
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.
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.
| Symbol | Value | Source |
|---|---|---|
| W | 1,385 lb | Total test weight (vessel full of water) |
| Q | 692 lb | Reaction per saddle, W/2 |
| L | 144 in | Tangent-to-tangent length |
| R | 6.172 in | Mean shell radius, (OD - t_nom)/2 |
| H | 3.04 in | Head depth (2:1 ellipsoidal, D/4) |
| A | 24 in | Head tangent to saddle centerline |
| θ | 120 ° | Saddle wrap angle |
| t | 0.293 in | Shell wall, corroded mill-min |
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 stress | Calculated (psi) | Allowable (psi) | Status |
|---|---|---|---|
| S1, longitudinal bending at midspan | 219 | 20,000 (S) | PASS |
| S1, longitudinal bending over saddle | 165 | 20,000 (S) | PASS |
| S2, tangential shear | 180 | 16,000 (0.8 S) | PASS |
| S3, circumferential bending at saddle horn | 1,150 | 25,000 (1.25 S) | PASS |
| S4, additional stress in head (head as stiffener) | n/a, A < R/2 satisfied | 1.25 S | PASS |
| S5, ring compression at saddle horn | 620 | 10,000 (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.
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.