📐

Pipe Bending Stress Calculator

ASME B31.8 Pipeline Span Design for Unrestrained Piping

Pipeline Span Stress Analysis
Evaluates bending stress and deflection for above-ground (unrestrained) pipeline spans per ASME B31.8 §833.6. Combined longitudinal stress from pressure and bending must not exceed 0.75 × SMYS × T.

Pipe Properties

in
in

Span Configuration

ft

Applied Loads

lbf/ft
Insulation, ice, etc. (besides pipe weight)
lbf
ft from A
psig
For combined stress check

ASME B31.8 Parameters

Design Factor (F): 0.72
°F
1.0 for seamless/ERW

Material Strength

ksi
psi
e.g., X52 = 52,000 psi

📘 ASME B31.8 Criteria

Unrestrained Pipe (§833.6):
SL = SP + Sb ≤ 0.75 × SMYS × T

Where:
SP = P×D/(4t) — longitudinal from pressure
Sb = M/Z — bending stress
T = temperature derating factor

Deflection: δ ≤ L/240 (industry)

Beam Deflection Formulas

Simply Supported: δ = 5wL⁴/(384EI)
Fixed-Fixed: δ = wL⁴/(384EI)
Fixed-Pinned: δ = wL⁴/(185EI)
Cantilever: δ = wL⁴/(8EI)

Design Notes

Support Selection: Fixed-Fixed provides lowest stress/deflection but requires moment-resisting connections. Pinned-Pinned is conservative and easier to detail.

Hydrotest: Water-filled spans have significantly higher loads. Verify support spacing for hydrotest conditions.

Thermal: One support per span should accommodate axial movement. Fixed supports at both ends create high thermal stress.

Code References

ASME B31.8-2020
§833.6 — Unrestrained pipe stress limits
§841.1.6 — Design factors by location class
§841.1.7 — Longitudinal joint factors
§841.1.8 — Temperature derating factors

References:
Roark's Formulas for Stress and Strain
AISC Steel Construction Manual

Frequently Asked Questions

What code does this pipe bending stress calculator follow?

This calculator evaluates bending stress and deflection for above-ground (unrestrained) pipeline spans per ASME B31.8 §833.6. Combined longitudinal stress from pressure and bending must not exceed 0.75 × SMYS × T.

What is the allowable deflection limit for pipeline spans?

The industry-standard deflection limit for pipeline spans is L/240, where L is the span length. The calculator checks this criterion along with the ASME B31.8 combined stress limit.

How does support type affect pipeline span stress?

Fixed-Fixed supports provide the lowest stress and deflection but require moment-resisting connections. Pinned-Pinned is more conservative and easier to detail. The calculator supports Fixed, Pinned, and Free end conditions.

What loads are considered in the pipeline span bending stress calculation?

The calculator considers pipe self-weight, additional uniform loads (insulation, ice), point loads, and internal pressure. Longitudinal pressure stress is combined with bending stress per ASME B31.8 §833.6.