SAMPLE
Piping Toolset — Calculation Report
generated by calc-core · 2026-07-21
ProjectSample Project — Demonstration Only Job No.SAMPLE-001 Client—
CalculationDisplacement Stress Range Check (ASME B31.3 ¶319.4.4) Calc byPiping Toolset (calc-core) Checked byUNCHECKED — sample
Date2026-07-21 Rev0 BasisASME B31.3 ¶319.4.4 Eq. (17); ¶302.3.5(d) Eq. (1a)

1 · Design inputs

NPS 6 Sch 40 point (Z = 8.49575 in³) with a pure in-plane moment range of 44,139 in·lb intensified by ii = 2.26557 (the Appendix D elbow above); A106-B allowables Sc = 20,000, Sh = 17,300 psi, f = 1.0.

ii / io2.26557 / 1.0—
Mi44,139in·lb
Mo, Mt0in·lb
Z8.49575in³
Sc / Sh20,000 / 17,300psi
f1.0—

2 · Method

Sb = √( (ii·Mi)² + (io·Mo)² ) / Z   St = Mt / (2Z)

SE = √( Sb² + 4·St² )   (Eq. 17)

SA = f · (1.25·Sc + 0.25·Sh)   (Eq. 1a)

PASS when SE ≤ SA. The cyclic factor f comes from the Fatigue Factor card (f = 1.0 up to 7,000 equivalent cycles).

3 · Calculation

  1. Bending: Sb = 2.26557·44,139 / 8.49575 = 100,000 / 8.49575 = 11,770.6 psi; St = 0.
  2. Stress range: SE = √(11,770.6² + 0) = 11,770.6 psi.
  3. Allowable: SA = 1.0·(1.25·20,000 + 0.25·17,300) = 25,000 + 4,325 = 29,325 psi.
  4. Utilization: 11,770.6 / 29,325 = 0.40 → PASS.

4 · Results PASS

SE — displacement stress range11,770.6psi
SA — allowable range29,325psi
Utilization0.40—
VerdictPASS—

5 · Verification statement

The result values above are locked as fixture displacement-stress.json, case “PVP: pure in-plane SE + SA”, tolerance 0.01, 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 — ¶319.4.4 Eq. (17); ¶302.3.5(d) Eq. (1a) allowable stress range.

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.