Percent SMYS

Engineering fundamentals for pipeline stress analysis

1. SMYS Definition

Specified Minimum Yield Strength (SMYS) is the minimum yield strength prescribed by the pipe specification or standard. It represents the stress at which the pipe material begins to deform plastically.

Key Concepts

SMYS by Pipe Grade

API 5L Grade SMYS (psi) SMYS (MPa) Min UTS (psi)
Grade B 35,000 241 60,000
X42 42,000 290 60,000
X46 46,000 317 63,000
X52 52,000 359 66,000
X56 56,000 386 71,000
X60 60,000 414 75,000
X65 65,000 448 77,000
X70 70,000 483 82,000
X80 80,000 552 90,000
📊 Stress-Strain Curve
Stress-strain diagram showing: Linear elastic region (slope = E), yield point (0.5% elongation or 0.2% offset), plastic region, strain hardening, ultimate tensile strength (UTS), and fracture point. Mark SMYS on Y-axis. Show how actual yield typically exceeds SMYS. Include typical values for X52 steel.

2. Stress Calculations

Hoop Stress (Barlow's Formula)

S_h = P × D / (2 × t) Where: S_h = Hoop stress (psi) P = Internal pressure (psig) D = Outside diameter (inches) t = Wall thickness (inches)

Percent SMYS

%SMYS = (S_h / SMYS) × 100 %SMYS = (P × D) / (2 × t × SMYS) × 100 Rearranged for maximum pressure: P_max = (2 × t × SMYS × %SMYS_allowed) / (D × 100)

Example Calculation

Given: 16" OD × 0.375" wall, X52, operating at 1,000 psig

S_h = 1,000 × 16 / (2 × 0.375)
S_h = 16,000 / 0.75 = 21,333 psi

%SMYS = 21,333 / 52,000 × 100
%SMYS = 41.0%

Combined Stress

Longitudinal stress (restrained pipe): S_L = ν × S_h - E × α × ΔT + S_bending Von Mises equivalent stress: S_eq = √(S_h² - S_h×S_L + S_L²) Where: ν = Poisson's ratio (0.3 for steel) E = Modulus of elasticity (29×10⁶ psi) α = Thermal expansion (6.5×10⁻⁶ /°F) ΔT = Temperature change from installation

3. Regulatory Limits

Federal regulations limit operating stress based on pipeline location and consequence of failure.

49 CFR 192 – Natural Gas Pipelines

Location Class Design Factor (F) Max %SMYS Description
Class 1 0.72 72% ≤10 buildings in 1-mile section
Class 2 0.60 60% 11–46 buildings
Class 3 0.50 50% ≥46 buildings or specific areas
Class 4 0.40 40% 4+ story buildings prevalent

49 CFR 195 – Hazardous Liquid Pipelines

Condition Max %SMYS
General (non-HCA) 72%
High Consequence Areas (HCA) 72% (with integrity management)
Crossings, casings 60%

ASME B31.8 Additional Limits

Hydrostatic test stress limits: - Class 1: May test to 100% SMYS - Class 2: Test to 90% SMYS max - Class 3 & 4: Test to 90% SMYS max Combined stress limit: S_L (longitudinal) ≤ 0.75 × SMYS × F × T

⚠ Class location changes: If development increases building count, pipeline may require pressure reduction, pipe replacement, or additional protective measures to meet lower %SMYS limit.

4. Practical Applications

When %SMYS Matters

Wall Thickness Selection

Required wall thickness: t_min = (P × D) / (2 × SMYS × F × E × T) Where: F = Design factor (0.40–0.72 per class) E = Joint factor (1.0 for seamless/ERW) T = Temperature derating (1.0 at ≤250°F) Add allowances: t_nominal = t_min + corrosion allowance + mill tolerance

Pressure vs. %SMYS Chart

Pipe 72% SMYS (psi) 60% SMYS (psi) 50% SMYS (psi)
12.75" × 0.250" X52 1,467 1,223 1,019
16" × 0.375" X52 1,755 1,463 1,219
20" × 0.500" X60 2,160 1,800 1,500
24" × 0.500" X65 1,950 1,625 1,354
30" × 0.625" X70 2,100 1,750 1,458

5. Integrity Assessment

Pipeline anomalies (corrosion, dents, cracks) reduce effective wall thickness, increasing local stress.

Remaining Strength (ASME B31G)

Safe operating pressure for corroded pipe: P_safe = (2 × t × SMYS × F / D) × (1 - A/A_o) / (1 - A/(M×A_o)) Where: A = Defect area = d × L A_o = Original area = t × L d = Defect depth L = Defect length M = Folias factor = √(1 + 0.8(L²/Dt)) Effective %SMYS at defect: %SMYS_eff = %SMYS / [(1 - A/A_o) / (1 - A/(M×A_o))]

Defect Severity

Defect Depth Action
< 10% wall Monitor, no immediate action
10–40% wall Calculate remaining strength, schedule repair
40–80% wall Evaluate for pressure reduction or repair
> 80% wall Immediate repair or pressure reduction required
ILI validation: In-line inspection tools report metal loss as % wall. Always convert to %SMYS at operating pressure to assess safety margin against regulatory limits.

References