Pipeline Design

Pipe Support Span Design

Calculate allowable pipe support spans based on bending stress limits, deflection criteria, and weight loads. Determine support locations for above-ground piping per ASME B31.3 and B31.8 using beam formulas, span tables, and thermal expansion analysis.

Deflection limit

L/240 typical

Maximum midspan deflection for normal piping. L/150 acceptable for non-critical drains and utility lines.

Stress limit

≤ 0.33 Sy

Bending stress from weight loads typically limited to one-third of allowable stress at temperature.

Primary standards

ASME B31.3 / B31.8

B31.3 for process piping; B31.8 for gas transmission and distribution piping.

Use this guide when you need to:

  • Calculate allowable pipe span based on stress and deflection
  • Determine total distributed weight load on pipe supports
  • Select support types for different loading conditions
  • Account for thermal expansion and anchor loads
  • Look up standard span tables for common pipe sizes

1. Pipe Support Span Overview

Pipe support span design determines the maximum distance between supports for above-ground piping systems. The support spacing must ensure that bending stresses from weight loads remain within code allowable limits and that pipe deflection does not exceed acceptable criteria for appearance, drainage, and mechanical integrity.

Stress criterion

Bending stress limit

Maximum bending stress from dead weight must not exceed the code-allowable sustained stress at operating temperature.

Deflection criterion

L/240 or 1/2 inch

Midspan deflection limited to span/240 or absolute maximum (typically 0.5–1.0 inch), whichever controls.

Drainage criterion

Positive slope maintained

Deflection must not create pockets or low points that prevent proper drainage or pigging.

Governing Criteria

The allowable span is determined by the more restrictive of two independent criteria:

  • Stress criterion: The bending stress at supports (for continuous beams) or at midspan (for simply-supported spans) must not exceed the code-allowable sustained stress. Per ASME B31.3, sustained stresses from weight and pressure are limited by the allowable stress at temperature (Sh).
  • Deflection criterion: The maximum midspan deflection must not exceed the project-specified limit. Common limits are L/240 for process piping and L/360 for piping carrying instruments or connected to sensitive equipment.

For standard carbon steel pipe in gas or vapor service, the stress criterion typically governs for small pipe sizes (NPS 2 and below) while the deflection criterion governs for larger sizes (NPS 6 and above). For liquid-filled lines, both criteria should be checked.

Common Design Scenarios

Service Weight Load Typical Controlling Criterion
Gas piping (empty or gas-filled)Low (pipe + insulation only)Stress for small bore; deflection for large bore
Liquid piping (water, glycol, amine)High (pipe + fluid + insulation)Stress (almost always) due to heavy contents
Two-phase pipingModerate to highSlug loading may control; check dynamic loads
Steam pipingLow weight, high temperatureThermal expansion and flexibility often control span
Hydrotest conditionMaximum (water-filled)Must check; often requires temporary supports
Design practice: Always check both the operating condition (process fluid at operating temperature) and the hydrotest condition (water-filled at ambient temperature). The hydrotest condition often produces the highest weight loads, especially for gas pipelines.

2. Weight Load Calculations

The total distributed weight load on a pipe span is the sum of all component weights per unit length. Accurate weight calculation is essential because the allowable span is inversely proportional to the square root of the load.

Weight Components

Total Distributed Load: wtotal = wpipe + wcontents + winsulation + wcladding + wmisc Where: wpipe = Bare pipe weight (lb/ft) - from pipe schedules wcontents = Weight of fluid contents (lb/ft) winsulation = Weight of insulation and jacketing (lb/ft) wcladding = Weight of insulation cladding/weather barrier (lb/ft) wmisc = Valves, fittings, snow/ice load, heat tracing, etc.

Pipe Weight

Bare pipe weight is obtained from pipe schedule tables. Common values for carbon steel (A106 Gr. B or API 5L Gr. B):

NPS Schedule OD (in) Wall (in) Weight (lb/ft)
240 (Std)2.3750.1543.65
340 (Std)3.5000.2167.58
440 (Std)4.5000.23710.79
640 (Std)6.6250.28018.97
840 (Std)8.6250.32228.55
1040 (Std)10.7500.36540.48
12Std (0.375)12.7500.37549.56
16Std (0.375)16.0000.37562.58
20Std (0.375)20.0000.37578.60
24Std (0.375)24.0000.37594.62

Contents Weight

Fluid Contents Weight: wcontents = (π/4) × di² × ρfluid / 144 Where: di = Inside diameter (inches) ρfluid = Fluid density (lb/ft³) Common fluid densities: Water: 62.4 lb/ft³ (used for hydrotest) Lean amine (MDEA 50 wt%): ~67 lb/ft³ Lean TEG: ~70 lb/ft³ Condensate (API 55): ~46 lb/ft³ Natural gas at 1,000 psig: ~3–5 lb/ft³ Air/nitrogen (atmospheric): ~0.075 lb/ft³ (negligible)

Insulation Weight

Insulation Weight per Foot: wins = π × (Do + tins) × tins × ρins / 144 Where: Do = Pipe outside diameter (inches) tins = Insulation thickness (inches) ρins = Insulation density (lb/ft³) Typical insulation densities: Calcium silicate: 13–15 lb/ft³ Mineral wool (rockwool): 8–12 lb/ft³ Fiberglass: 3–6 lb/ft³ Cellular glass (Foamglas): 7–9 lb/ft³ Polyurethane foam: 2–4 lb/ft³ Add 3–5 lb/ft for aluminum jacketing on NPS 6–12 pipe.

Concentrated Loads

Valves, flanges, and other heavy fittings create concentrated loads. These are typically handled by either reducing the span locally or adding supports adjacent to the heavy item:

NPS Gate Valve (approx. lb) Ball Valve (approx. lb) Flange Pair (approx. lb)
2352016
41206542
627015072
8500300110
10800500155
121,100700195

Weights are approximate for Class 150. Higher pressure classes are significantly heavier.

Valve support rule: Valves weighing more than the weight of one span length of pipe should have a dedicated support. For gate valves NPS 6 and larger, always provide a support within 2 feet of the valve. In-line ball valves may not require dedicated supports if the span is appropriately reduced.

3. Beam Formulas

Pipe spans are modeled as beams with uniformly distributed load. The beam end conditions determine the bending moment distribution and deflection. Two models are used depending on the number of spans and support conditions.

Simply-Supported Beam (Single Span)

Simply-Supported Beam (uniform load w): Maximum bending moment (at midspan): Mmax = w × L² / 8 Maximum deflection (at midspan): δmax = 5 × w × L4 / (384 × E × I) Maximum bending stress: σb = Mmax / Z = w × L² / (8 × Z) Where: w = Distributed load (lb/in for stress; lb/ft for deflection) L = Span length (in for stress; in for deflection) E = Modulus of elasticity (psi; 29.0 × 106 for carbon steel at ambient) I = Moment of inertia (in4) Z = Section modulus (in³)

Continuous Beam (Multiple Spans)

Fixed-End Beam / Continuous Multi-Span (uniform load w): Maximum bending moment (at supports): Mmax = w × L² / 12 Maximum deflection (at midspan): δmax = w × L4 / (384 × E × I) Maximum bending stress: σb = Mmax / Z = w × L² / (12 × Z) Note: The continuous beam formula allows approximately 22% longer spans than the simply-supported formula for the same stress limit (because √(12/8) = 1.22).

Allowable Span from Stress Criterion

Maximum Span (Stress-Limited): For simply-supported beam: Lmax = √(8 × Sallow × Z / w) For continuous beam: Lmax = √(12 × Sallow × Z / w) Where: Sallow = Allowable bending stress for weight loads (psi) Z = Section modulus (in³) w = Total distributed load (lb/in) Typical Sallow for weight: ASME B31.3: Sh (allowable stress at temperature), but sustained stress typically limited to 0.75 × Sh with weight bending at approximately 0.33 × Sh after subtracting pressure stress.

Allowable Span from Deflection Criterion

Maximum Span (Deflection-Limited): For simply-supported beam with δ = L/240: Lmax = (384 × E × I / (5 × 240 × w))1/3 For continuous beam with δ = L/240: Lmax = (384 × E × I / (240 × w))1/3 Alternative (absolute deflection limit): Lmax = (384 × E × I × δallow / (5 × w))1/4 (simply-supported) Lmax = (384 × E × I × δallow / w)1/4 (continuous)

Modulus of Elasticity at Temperature

The modulus of elasticity decreases with temperature, which increases deflection at elevated temperatures:

Temperature (°F) E (106 psi) - Carbon Steel % of Ambient
70 (ambient)29.0100%
20028.397.6%
30027.795.5%
40027.093.1%
50026.190.0%
60025.186.6%
70024.082.8%
80022.477.2%
Pipe section properties: For pipe stress analysis, use the actual section modulus Z and moment of inertia I from pipe dimension tables, not approximations. For corroded pipe, calculate reduced properties using the nominal wall minus the corrosion allowance and manufacturing tolerance.

4. Support Types

Pipe supports are categorized by the type of restraint they provide: weight support only (rest/shoe), lateral restraint (guide), and full restraint in all directions (anchor). The selection depends on the piping layout, thermal movement, and loading conditions.

Weight Supports (Rests and Shoes)

  • Bare pipe rest: Pipe sits directly on a structural member (beam, channel, angle). Only for uninsulated pipe. Allows axial and lateral sliding.
  • Pipe shoe: A welded saddle or T-section attached to the pipe that rests on the structural support. Elevates the pipe to protect insulation and provides a defined bearing surface. Standard heights: 3, 4, 6, 8, or 12 inches.
  • Pipe roller: A roller bearing support that allows free axial movement with minimal friction. Used for long runs with significant thermal expansion.
  • Spring hanger: A variable-spring or constant-support hanger for vertical pipe runs or where differential thermal movement between the pipe and structure must be accommodated. Sized based on hot and cold load conditions.
  • Pipe saddle (trunnion): A half-pipe or fabricated cradle welded to the pipe and resting on a support. Common for large-diameter pipe (NPS 16 and above).

Guides and Lateral Restraints

  • Pipe guide: Allows axial movement but restricts lateral movement. Essential near expansion loops, bends, and equipment connections to control piping flexibility.
  • Line stop: Restricts axial movement in one direction. Used at changes of direction to direct expansion toward expansion devices.
  • Snubber (dynamic restraint): Allows slow thermal movement but resists sudden dynamic loads (e.g., slug flow, seismic, relief valve thrust). Hydraulic or mechanical types available.

Anchors

Anchors are fixed points that resist all forces and moments. They divide a piping system into independent sections for flexibility analysis:

  • Equipment connections: Pumps, compressors, vessels, and heat exchangers are typically treated as anchor points. Equipment nozzle loads must be checked against allowable values.
  • Structural anchors: Welded or bolted connections that restrain the pipe in all six degrees of freedom. Used at changes of direction, branch connections, and midpoints of long straight runs.
  • Intermediate anchors: Break long pipe runs into shorter, independent expansion sections. Placed between expansion loops or bellows.

Guide Spacing

Guides are placed to prevent lateral buckling and to direct thermal movement. Typical guide spacing rules:

Location Guide Spacing Notes
First guide from anchor4 × Do (minimum)Close to anchor to prevent buckling; 12 ft maximum
Second guide from anchor14 × DoIntermediate position before expansion device
Typical intermediate guidesEvery 20–40 ftDepends on pipe size, wind load, and lateral stability
Near expansion loopsPer flexibility analysisGuides direct movement into loop; critical for proper function
Support material: Carbon steel supports welded directly to austenitic stainless steel or alloy pipe require isolation pads (e.g., PTFE, ceramic fiber) to prevent dissimilar metal weld issues and galvanic corrosion. For cryogenic piping, use low-thermal-conductivity support materials to minimize heat gain.

5. Thermal Movement

Thermal expansion and contraction of piping from ambient to operating temperature creates forces and moments at supports and equipment connections. Support design must accommodate these movements while maintaining structural integrity.

Thermal Expansion Calculation

Linear Thermal Expansion: ΔL = α × L × ΔT Where: ΔL = Change in length (inches) α = Coefficient of thermal expansion (in/in/°F) L = Pipe length (inches) ΔT = Temperature change from installation to operating (°F) For carbon steel: α ≈ 6.3–7.3 × 10-6 in/in/°F Rule of thumb: Carbon steel expands approximately 0.75 inches per 100 feet per 100°F temperature rise.

Expansion Data for Carbon Steel

Operating Temp (°F) ΔT from 70°F Expansion (in/100 ft)
100300.23
150800.60
2001300.98
2501801.37
3002301.78
4003302.63
5004303.52
6005304.47
7006305.49
8007306.57

Expansion Absorption Methods

  • Natural flexibility: Changes of direction (elbows, bends) in the piping layout absorb thermal movement through bending. This is the preferred method and should be used whenever possible.
  • Expansion loops: U-shaped loops inserted in straight pipe runs to provide flexibility. The loop size depends on the pipe diameter, expansion magnitude, and allowable stress.
  • Expansion joints (bellows): Axial, lateral, or universal bellows joints absorb thermal movement in a compact space. Require careful engineering for pressure thrust, guides, and anchors.
  • Sliding supports: Allow axial pipe movement on support beams. Low-friction surfaces (PTFE pads, rollers) reduce friction forces transmitted to the support structure.

Expansion Loop Sizing

Approximate Expansion Loop Length: H = √(3 × Do × ΔL / Sa) × √(E) Simplified rule of thumb (H in feet, D in inches, ΔL in inches): H ≈ 1.5 × √(Do × ΔL) Where: H = Loop height (perpendicular to pipe run), ft Do = Pipe outside diameter, inches ΔL = Total expansion to be absorbed, inches Sa = Allowable displacement stress range, psi E = Modulus of elasticity, psi Example: NPS 6, ΔL = 2 inches H = 1.5 × √(6.625 × 2) = 1.5 × 3.64 = 5.5 ft

Friction Forces at Supports

As pipe slides on supports during thermal expansion, friction generates horizontal forces on the support structure:

Support Surface Friction Coefficient (μ)
Steel on steel (bare pipe on beam)0.30–0.40
Steel on steel (corroded/weathered)0.40–0.60
PTFE (Teflon) slide plate0.05–0.10
Graphite pad0.10–0.15
Roller support0.02–0.05
Friction loads: For long pipe runs on sliding supports, friction loads accumulate from each support toward the anchor. The total friction force at the anchor is F = μ × W × n, where W is the weight per support and n is the number of supports. This can produce substantial anchor loads on large-diameter lines.

6. Worked Example

Determine the allowable support span for an NPS 8 Schedule 40 carbon steel pipe carrying lean amine at 180°F, with 2-inch calcium silicate insulation and aluminum jacket.

Given: Pipe: NPS 8, Schedule 40, ASTM A106 Gr. B OD: 8.625 in, Wall: 0.322 in, ID: 7.981 in Pipe weight: 28.55 lb/ft Section modulus Z: 16.81 in³ Moment of inertia I: 72.49 in4 Operating temperature: 180°F Insulation: 2-inch calcium silicate (14 lb/ft³) Cladding: Aluminum jacket Fluid: Lean MDEA amine (density 67 lb/ft³) Allowable stress: Sh = 20,000 psi (A106 Gr. B at 180°F) Weight stress allowance: 0.33 × Sh = 6,600 psi Deflection limit: L/240

Step 1: Calculate Total Weight

Pipe weight: wpipe = 28.55 lb/ft Contents (lean amine): Ai = (π/4) × 7.981² = 50.03 in² = 0.347 ft² wcontents = 0.347 × 67 = 23.3 lb/ft Insulation (2-inch calcium silicate): wins = π × (8.625 + 2.0) × 2.0 × 14 / 144 = 6.5 lb/ft Cladding (aluminum jacket): wclad = 1.5 lb/ft (typical for NPS 8) Total: wtotal = 28.55 + 23.3 + 6.5 + 1.5 = 59.85 lb/ft Convert to lb/in: w = 59.85 / 12 = 4.99 lb/in

Step 2: Stress-Based Span (Continuous Beam)

Lstress = √(12 × Sallow × Z / w) Lstress = √(12 × 6,600 × 16.81 / 4.99) Lstress = √(266,714) Lstress = 516 in = 43.0 ft

Step 3: Deflection-Based Span (δ = L/240)

E at 180°F ≈ 28.5 × 106 psi Ldeflection = (384 × E × I / (240 × w))1/3 Ldeflection = (384 × 28.5 × 106 × 72.49 / (240 × 4.99))1/3 Ldeflection = (793.1 × 109 / 1,197.6)1/3 Ldeflection = (662.2 × 106)1/3 Ldeflection = 871 in = 72.6 ft

Step 4: Governing Span

Stress-based span: 43.0 ft Deflection-based span: 72.6 ft Governing span: 43.0 ft (stress controls) Recommended design span: 35–40 ft (with margin for valve loads, field routing adjustments, and support structure spacing)

Step 5: Summary

Parameter Value
Total distributed load59.85 lb/ft
Allowable span (stress)43.0 ft
Allowable span (deflection)72.6 ft
Controlling criterionStress
Recommended design span35–40 ft
Midspan deflection at 40 ft~0.25 in
Design check: The stress criterion controls at 43 ft, which is typical for liquid-filled pipe. The recommended 35–40 ft design span provides margin for concentrated loads (valves, flanges) and aligns well with typical structural steel bay spacing. Check the hydrotest condition (water-filled) as a separate load case.

7. Span Tables & Guidelines

Standard Span Table (Carbon Steel, Std Weight)

The following table provides suggested maximum support spans for standard-weight carbon steel pipe. These are conservative values suitable for initial layout. Verify with project-specific calculations.

NPS Gas/Vapor Service (ft) Water/Liquid Service (ft)
197
1-1/2129
21510
31812
42115
62618
83021
103224
123525
164028
204230
244632

Values assume standard weight pipe, no insulation, continuous beam model, carbon steel at ambient temperature. Reduce spans for insulated pipe, higher temperature, or single-span conditions. Add insulation and contents weight for project-specific calculation.

Span Reduction Factors

Condition Span Reduction
Single span (simply supported)Reduce by 18% from continuous beam values
Heavy insulation (3–4 inches)Reduce by 10–20%
Concentrated valve loadReduce by 25–40% or add dedicated support
Elevated temperature (> 400°F)Reduce by 5–10% for lower E
Vertical pipingSupport at every floor level; span ≤ 25 ft for riser clamps

Practical Design Guidelines

  • Coordinate with structural: Pipe support spans should align with structural steel bay spacing whenever practical. Common bay sizes are 20, 25, 30, and 40 feet.
  • Pipe rack design: For multi-level pipe racks, supports on the top tier should be designed for the worst-case combination of pipe loads. Bent spacing (support span) is typically 20–30 ft for process plants.
  • Minimum span: Do not place supports closer than necessary. Over-supporting a piping system can create thermal restraint problems and increase support costs without benefit.
  • Drainage: Ensure that span deflection does not create low points that prevent drainage. This is critical for piping that requires positive slope for gravity flow or pig passage.
  • Hydrotest supports: For gas piping that will be hydrotested, check the water-filled condition. Temporary supports may be needed if the hydrotest weight exceeds the span capacity. These are removed after testing.
Quick check: For a rough estimate of maximum span, use the rule of thumb: Lmax (ft) ≈ 4 + 2.2 × NPS for gas service and Lmax (ft) ≈ 3 + 1.4 × NPS for water-filled service. These approximations are conservative and suitable for initial layout only.