SAMPLE
Piping Toolset — Calculation Report
generated by calc-core · 2026-07-21
ProjectSample Project — Demonstration Only Job No.SAMPLE-001 Client—
CalculationStress Intensification & Flexibility Factor Calculator (B31.3 Appendix D) Calc byPiping Toolset (calc-core) Checked byUNCHECKED — sample
Date2026-07-21 Rev0 BasisASME B31.3 Appendix D closed forms (elbow, welding tee)

1 · Design inputs

NPS 6 Sch 40 long-radius elbow: D = 6.625 in, T = 0.28 in, R1 = 9 in — the PVP Suite selftest case.

ComponentLR elbow—
Outside diameter D6.625in
Wall T0.28in
Bend radius R19in

2 · Method

Elbow (bend radius R1, mean radius r2 = (D−T)/2):

h = T·R1 / r2²   k = 1.65/h

Welding tee (B16.9): h = 4.4·T/r2, k = 1.

ii = 0.9 / h2/3   io = 0.75 / h2/3   (each ≥ 1.0)

3 · Calculation

  1. Mean radius: r2 = (6.625 − 0.28)/2 = 3.1725 in.
  2. Flexibility characteristic: h = 0.28·9 / 3.1725² = 2.52 / 10.0648 = 0.25038.
  3. Flexibility factor: k = 1.65 / 0.25038 = 6.590.
  4. SIFs: h2/3 = 0.39725 → ii = 0.9/0.39725 = 2.2656; io = 0.75/0.39725 = 1.8880.

4 · Results COMPUTED

h — flexibility characteristic0.25038—
k — flexibility factor6.590—
ii — in-plane SIF2.2656—
io — out-of-plane SIF1.8880—

5 · Verification statement

The result values above are locked as fixture b31-sif.json, case “PVP: 6in sch40 LR elbow (R1=9)”, tolerance 0.00001, in the calc-core continuous verification gate (see https://pipingtoolset.com/trust/validation.html). Allowable-stress and factor data are user-supplied inputs; citations: ASME B31.3, Process Piping — Appendix D, Table D300 flexibility and stress intensification factors. · ASME B31J — more-accurate SIF/k data (planned as a mode-gated dataset, not embedded).

SAMPLE REPORT — auto-generated from a verification fixture to show the report format. Not a project calculation. ⚠ Engineering-aid tool. Public code equations; allowable-stress and factor data are user-supplied. Results MUST be independently verified and reviewed by a qualified/licensed engineer before any design, fabrication, or operation decision.