SAMPLE
Piping Toolset — Calculation Report
generated by calc-core · 2026-07-30

AISC 360 Steel Member Check Calculator (ASD) for Pipe-Support Steel — Sample Report

ProjectSample Project — Demonstration Only Job No.SAMPLE-001 Client—
CalculationAISC 360 Steel Member Check Calculator (ASD) for Pipe-Support Steel Calc byPiping Toolset (calc-core) Checked byUNCHECKED — sample
Date2026-07-30 Rev0 BasisAISC 360 (ASD): E3 compression, D2 tension, F2 flexure, H1-1 interaction

1 · Design inputs

Pipe-support leg, Ag=5 in², r=1.5 in, Z=6 in³, unbraced length 150 in, K=1.0, Fy=36 ksi, E=29000 ksi, applied Pr=25 kip axial compression and Mr=40 kip·in bending.

Ag5in²
r1.5in
Z6in³
L (K=1.0)150in
Fy36ksi
E29000ksi
Pr (pApplied)25kip
Mr (mApplied)40kip·in

2 · Method

Flexural buckling only, compact non-slender section, ASD (Ω = 1.67):

Fe = π²E / (KL/r)² (E3-4)

Fcr = 0.658^(Fy/Fe)·Fy when KL/r ≤ 4.71√(E/Fy) (E3-2)

Fcr = 0.877·Fe otherwise (E3-3)

Pn = Fcr·Ag (compression, E3-1) or Fy·Ag (tension, D2-1)

Mn = Fy·Z (F2-1, plastic yielding only)

Pc = Pn/1.67, Mc = Mn/1.67

H1-1a: Pr/Pc + (8/9)(Mr/Mc) ≤ 1.0 when Pr/Pc ≥ 0.2

H1-1b: Pr/(2Pc) + Mr/Mc ≤ 1.0 when Pr/Pc < 0.2

The axialTension flag switches the axial capacity path from E3 compression buckling to D2 tension yielding — bending capacity and the H1 interaction logic are unchanged either way.

3 · Calculation

  1. Slenderness: KL/r = 1.0·150/1.5 = 100.
  2. Elastic buckling: Fe = π²·29000/100² = 28.62185 ksi.
  3. Inelastic-buckling limit: 4.71√(29000/36) = 133.68 > 100, so the inelastic branch governs.
  4. Critical stress: Fcr = 0.658^(36/28.62185)·36 = 21.26526 ksi.
  5. Capacities: Pn = Fcr·Ag = 21.26526·5 = 106.326 kip; Mn = Fy·Z = 36·6 = 216 kip·in.
  6. ASD allowables (Ω=1.67): Pc = 106.326/1.67 = 63.668 kip; Mc = 216/1.67 = 129.341 kip·in.
  7. Demand ratio: Pr/Pc = 25/63.668 = 0.393 ≥ 0.2 → H1-1a governs.
  8. Interaction: 25/63.668 + (8/9)·(40/129.341) = 0.393 + 0.275 = 0.66756.
  9. 0.668 ≤ 1.0 → PASS.

4 · Results PASS

KL/r — slenderness100—
Fe — elastic buckling stress28.62185ksi
Fcr — critical stress21.26526ksi
Pn — nominal axial capacity106.326kip
Mn — nominal flexural capacity216kip·in
Pc — allowable axial63.668kip
Mc — allowable flexural129.341kip·in
Interaction (H1-1a)0.66756—
VerdictPASS—

5 · Verification statement

The result values above are locked as fixture aisc-member-check.json, case “compression member Ag=5 r=1.5 Z=6 L=150 Fy=36, P=25 kip M=40 kip-in -> H1-1a 0.668 pass”, tolerance 0.001, in the calc-core continuous verification gate (see https://pipingtoolset.com/trust/validation.html). Allowable-stress and factor data are user-supplied inputs; citations: AISC 360 — Specification for Structural Steel Buildings, Chapter E (Compression Members). · AISC 360 — Specification for Structural Steel Buildings, Chapter D (Tension Members) and Chapter F (Members Subject to Flexure). · AISC 360 — Specification for Structural Steel Buildings, Chapter H (Members Under Combined Forces).

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.