Superstructures Part II: Detailed Design

Deep dive into member design checks, connection detailing, fire protection, and specialized systems for offshore topsides, from beam capacity to vierendeel frames and equipment skids.

1. Introduction to Detailed Design Hierarchy

Detailed design translates global FEM results into fabrication-ready drawings. Design hierarchy ensures no local weakness undermines global structure:

2. Beam Design Checks

Flexural Capacity (AISC 360)

Flexural Capacity (Compact Section, No LTB)
φbMn = φb·Fy·Zx

where:
φb = 0.9 (bending resistance factor)
Fy = yield strength (250–450 MPa for offshore steels)
Zx = plastic section modulus

Design bending moment: M ≤ φbMn
Typical margin: Design stress ≤ 0.66·Fy (for LRFD ULS)

Lateral-Torsional Buckling (LTB)

Long, unbraced beams can buckle laterally. LTB capacity is reduced by Cb factor (depends on moment distribution and lateral bracing):

M Before (dashed) After buckling (solid) LTB Parameters: Lb = unbraced length Cb = moment gradient factor
Figure 1 — Lateral Torsional Buckling (LTB) of Wide Flange Beam
Lateral-Torsional Buckling Check
If Lb ≤ Lp: Compact section, Mn = Mp (plastic moment)
If Lp < Lb ≤ Lr: Inelastic LTB, Mn = Cb(Mp - (Mp-Mr)(Lb-Lp)/(Lr-Lp))
If Lb > Lr: Elastic LTB, Mn = CbπE(Iy/Sx)(Lb/ry)²

Typical values:
Lb = unbraced length (distance to next lateral brace)
Cb = 1.0 (conservative); up to 2.3 if moment diagram favorable
ry = radius of gyration (y-axis, minor axis)

Deck beams with cross-frame bracing every 2–3 m typically bypass LTB (Lb short).

Shear Capacity

Shear Capacity (AISC 360)
Vn = 0.6·Fy·Aw (linear)

Design shear: V ≤ φvVn (φv = 0.9)

where: Aw = web area (d × tw)

If h/tw > 260/√Fy: web buckling limits apply; typically reduces Vn by 20–40%.

Deflection Limits

Load Case Limit Rationale
Live Load Only L/300 Prevents sag and equipment movement
Total (Dead + Live) L/200 Serviceability; visible sag
Wind/Wave L/180 Dynamic comfort and equipment alignment

3. Column Design

Compression Capacity (AISC 360 Section E3)

Column Compression Strength
Fcr = (0.658^(Fy/Fe))·Fy (if KL/r ≤ 4.71·√(E/Fy))
Fcr = 0.877·Fe (if KL/r > 4.71·√(E/Fy))

where:
Fe = π²E / (KL/r)² (elastic buckling stress)
KL/r = slenderness ratio (< 200 typical for offshore)
K = effective length factor (0.65–1.0 depending on end conditions)

Design compression: P ≤ φcFcr·Ag (φc = 0.85)

Combined Axial + Bending Interaction

Columns often carry both axial load (dead load distribution) and bending (lateral loads, uneven equipment placement):

Combined Axial + Bending (AISC H1-1a/H1-1b)
Check 1: P/Pc + 8/9·M/Mc ≤ 1.0 (H1-1a, if P/Pc < 0.2)
Check 2: P/Pc + M/Mc ≤ 1.0 (H1-1b, if P/Pc ≥ 0.2)

where:
Pc = φc·Fcr·Ag (compression capacity)
Mc = φb·Mn (bending capacity)
P, M = design axial load and moment

4. Stiffened Plate Panels (Buckling Under Biaxial Loads)

Critical Buckling Stress

Plate Buckling Formula (Elastic)
σcr = k·π²E / (12(1-ν²))·(t/b)²

where:
k = buckling coefficient (4.0 for simply supported; up to 12 for fixed)
t = plate thickness
b = plate width (distance between stiffeners)
ν = Poisson's ratio (0.3 for steel)

Example: E = 210 GPa, t = 12 mm, b = 500 mm, k = 6
σcr = 6·π²·210000 / (12·0.91)·(12/500)² ≈ 38 MPa

Plate Slenderness Limits (NORSOK N-004)

5. Plate Girder Design

Web Shear Buckling

Deep girder webs can buckle under shear. Limits:

Web Shear Buckling Limits
h/tw ≤ 260/√Fy (no reduction in shear capacity)
h/tw ≤ 418/√Fy (tension field action considered)

For Fy = 355 MPa:
No reduction: h/tw ≤ 14
TFA allowed: h/tw ≤ 22

If h/tw exceeds limits, intermediate stiffeners are added (vertical plate gussets) at spacing < 1.5h.

Tension Field Action (TFA)

In thin webs under shear, diagonal tension develops after buckling begins. This adds strength beyond simple shear capacity. TFA models this post-buckling strength via inclusion of a diagonal strut-tie analogy. This allows thinner, lighter webs but requires ductile behavior (Fy < 350 MPa preferred; sour service grades limited).

6. Penetrations and Openings in Structural Members

Reinforcement of Holes

Equipment nozzles and piping create holes in structural members. Large holes weaken members; reinforcement is required:

7. Fire and Blast Design

Fire Scenarios and Thermal Analysis

Passive Fire Protection (PFP) Systems

PFP Type Thickness (mm) Cost ($/m²) Application
Intumescent Paint 2–4 50–150 Exposed structural steel; lightweight; touch-up easy
Cementitious Spray (Calcium Silicate) 50–100 100–300 Pipes, ducts, heavy exposure; durable; can flake
Mineral Wool (Rockwool) + Mesh 75–150 150–400 High-temperature zones; encapsulates member; heavy
Concrete Encasement 100–200 200–500 Columns, critical supports; heavy; permanent

Blast Design Methodology

Blast loading (process explosion, vessel rupture) creates short-duration overpressure (typically 0.5–2.0 bar peak, 100–500 ms duration). SDOF (single-degree-of-freedom) ductility approach:

SDOF Blast Response (Ductility Criterion)
μ = δmax / δy (ductility ratio)

where:
δmax = maximum deflection under blast pressure
δy = yield deflection (at Fy·A)

Acceptance criterion: μ ≤ 10 (for structural steel; allows large plastic deformation but prevents rupture).
Lower μ (3–5) for critical members (no failure tolerance);
Higher μ (10–15) acceptable for sacrificial secondary members.

8. Vierendeel Frame Analysis

Vierendeel Frames (Open Web Trusses Without Diagonals)

Process decks sometimes omit diagonal bracing for operational space (piping runs). Instead, frame relies on rigid moment connections (bending in beams and columns):

9. Equipment Skid Structures

Dynamic Load Factors for Rotating Equipment

Compressors, turbines, and pumps generate dynamic loads (imbalance, vibration). DLF accounts for amplification due to unbalance:

DLF for Rotating Equipment (ISO 20816)
DLF = 1.0 + (f_operating / f_natural)² (simplified; more complex in standards)

Typical DLF = 1.2–1.5 depending on balance quality class and operating speed vs. structural resonance.

Practice: Equipment supplied with rated unbalance (e.g., 10 g·mm per kg of rotor mass); skid structure designed to limit vibration amplitude < 10–15 mm peak.

Anchor Bolt Fatigue

Vibrating equipment creates cyclic loads in anchor bolts. Fatigue check:

10. Structural Monitoring and Inspection

Structural Health Monitoring (SHM) Systems

Inspection and Maintenance Program

Inspection Type Interval Method Focus Area
Visual (general) Annual Surface observation; photo documentation Paint condition, visible cracks, spillage
UT (thickness) 5-yearly (splash zone); 10-yearly (immersed) Ultrasonic; grid pattern (1 m spacing) Corrosion depth in critical members
Detailed Inspection (DI) 10-yearly MT/UT for cracks; surface mapping Weld defects, fatigue cracks at stress concentrations
In-Service Inspection (ISI) As needed (post-incident) RT, TOFD, PAUT (advanced NDT) Confirmation of cracks or defect growth

Detailed Design Summary

  • AISC/NORSOK Hierarchy Matters: Global checks via FEM, then local checks for stress concentration and connection capacity. Design is iterative; weak links drive resizing.
  • LTB and Web Buckling Are Common Governs: Long, thin beams and deep girders often require lateral bracing or stiffeners to avoid buckling governs capacity. Avoid by layout design (span/depth = 12–15, lateral bracing every 2–3 m).
  • Fire Protection is Non-Negotiable: Intumescent paint (cheap, thin) for general steel; mineral wool for high-heat zones. PFP specification driven by risk assessment (location, consequence of loss).
  • Equipment Dynamic Loads Are Often Underestimated: DLF 1.2–1.5 for compressors; rotating equipment can excite structural resonance if not damped. Isolation mounts help.
  • Inspection Catches Degradation: Corrosion and fatigue are slow; UT every 5 years (splash zone) is essential insurance. SHM (vibration, tilt) provides real-time warning.

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