
Visual fault tree analysis with AND/OR/Voting gates, exact probability calculation, minimal cut sets, and importance ranking — connected to your DFMEA and field data.
| Gate | Logic | Use Case |
|---|---|---|
| AND | ALL inputs must fail | Redundancy, backup systems |
| OR | ANY input failure causes output | Series reliability, single points of failure |
| Voting (K-of-N) | K or more of N fail | Partial redundancy, majority voting |
| Transfer | Reference external sub-tree | Modular, reusable analysis |
| Inhibit | Input + condition | Conditional failure propagation |
Exact top event probability from gate logic. Support for rare-event approximation and sensitivity analysis.
Automatically find all minimal event combinations causing system failure. Critical path identification.
Fussell-Vesely, Birnbaum, Risk Achievement Worth. Rank components by contribution to unreliability.
Interactive tree construction. Zoom, pan, and navigate large fault trees with smooth interaction.
Import FMEA failure modes as basic events. Use occurrence ratings as base event probabilities.
AI suggests gate structures based on system description. Identifies common failure patterns. Gemini 2.0.
| Measure | What It Tells You | Formula |
|---|---|---|
| Fussell-Vesely (FV) | Fraction of system unreliability due to this component | FV = 1 - R_reduced / R_system |
| Birnbaum | Rate of change of system reliability w.r.t. component reliability | ∂R_sys/∂R_i |
| Risk Achievement Worth | How much system risk increases if component is removed | R_sys(qi=1) / R_sys |
| Type | Symbol | Description |
|---|---|---|
| Basic Event | Circle | Leaf-level failure with probability or failure rate |
| Intermediate Event | Rectangle | Named subsystem-level failure |
| Undeveloped Event | Diamond | Not analyzed further |
| House Event | Pentagon | Expected to occur (conditioning) |
| Transfer Event | Triangle | Reference to external sub-tree |
Pull failure modes from Magnus DFMEA as basic events with occurrence ratings mapped to probabilities.
System-level FTA results feed back to DFMEA severity assessment and risk prioritization.
| Standard | Application |
|---|---|
| IEC 61025 | Fault Tree Analysis methodology |
| IEC 61508 | Functional safety — system Pf |
| ISO 26262 | Automotive functional safety |
| ARP4761 | Aerospace safety assessment |
| MIL-HDBK-338 | Military reliability engineering |
| ISO 14971 | Medical device risk management |
Contact us — wayne@autogainsystems.com | www.magnusaiengineering.com