LOAD-SPAN · Structural Integrity Dashboard

Long-Span Structural Integrity Index

—

LSII

—

LOADING…

LSII = 0.35·(β/β_t) + 0.30·(1−D)
+ 0.20·R_struct + 0.15·(λ_cr/λ_t)
Accuracy ±2.94% · Forecast 24–48h

Safety Bounds — Real-Time

Reliability β

—

≥ 3.50 target

Fatigue D_max

— M

< 0.80 limit

Buckling λ_cr

—

≥ 2.00 margin

Redundancy R

—

≥ 0.70 bound

Module Outputs — Current Cycle

ΔF Redistrib.

— %

DLRM nominal

P_f Failure

—×10⁻⁴

LSSAM within

DCR Collapse

—

≤ 2.00 (GSA)

LSTM +48h

—

AISL forecast

Span Member Force Map — Cable-Stayed Bridge

━ OK member ━ Elevated cable K·u = f

Load Redistribution — ΔF / F_nominal

M1 — Side span—

M2 — Main span (hot-spot)—

M3 — Far side span—

Four-Module Assessment Pipeline — DLRM · LSSAM · FARM · AISL

DLRM

Dynamic Load
Redistribution Module

—

R_struct

—

ΔF_max

—

Members

LSSAM

Long-Span Stability
Assessment Module

—

β index

—

λ_cr

—

θ P-Δ

—

FARM

Fatigue Accumulation
& Reliability Module

—

D_max

—

FAT class

FAT90

Cycles/h

—

AISL

AI-Assisted
Support Layer

—

Model

XGB+LSTM

+48h LSII

—

Conf.

—

LSII — 72-Hour History & 48-Hour AISL Forecast

Direct stiffness + FARM + LSSAM composite · Governance thresholds · Physics-constrained LSTM projection

Fatigue Damage Map — D(x,t)

30 instrumented connections · Palmgren–Miner · IIW hot-spot · FAT90

D<0.300.30–0.60>0.60Goodman corr.

48h AISL Trajectory Forecast

XGBoost anomaly + physics-constrained LSTM · ±σ band

T+0hT+12hT+24hT+36hT+48h

Governing Equations

LOAD-SPAN v1.0.0 analytical core

Eq. 1 — Global Stiffness · Force Redistribution

K · u = f → ΔF_member = K_m · Δu_m

Eq. 2 — Euler Critical Load (Buckling)

P_cr = π² · E · I / (K · L)²

Eq. 4 — Cornell–Hasofer–Lind Reliability

β = (μ_R − μ_S) / √(σ_R² + σ_S²) → P_f = Φ(−β)

Eq. 6 — Long-Span Structural Integrity Index

LSII = 0.35·(β/β_t) + 0.30·(1−D)
+ 0.20·R_s + 0.15·(λ_cr/λ_t)

Safety Bounds & Governance Thresholds

SPAN-SAFETY-01 · v1.0.0 certification bounds

Parameter	Current	Bound	Status
LSII	—	≥ 0.90	Steady
β index	—	≥ 3.50	OK
D_fatigue	—	< 0.80	OK
λ_cr	—	≥ 2.00	OK
R_struct	—	≥ 0.70	OK
DCR (GSA)	—	≤ 2.00	Watch
P_f	—	< 1×10⁻³	OK

Validation v1.0.0

LSII Accuracy±2.94%β Detection94.9%Fatigue MAE2.53%λ_cr Error±3.9%