Fatigue Life Prediction Workbook (Excel w/ SN Curve Library & Miner’s Rule Solver)
The Fatigue Life Prediction Workbook is an Excel-based engineering tool designed to estimate the service life of tractor chassis components under cyclic loading by integrating material-specific S–N (stress-life) curves and applying Miner’s linear damage accumulation rule. It enables structural integrity analysts to input load spectra, map stresses to material fatigue properties, and compute cumulative damage and remaining life. The workbook standardizes fatigue assessment for agricultural machinery where variable-amplitude loading, weld details, and durability requirements are critical.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Predicting crack initiation life of welded tractor frame joints under field-measured load spectra
- ✓ Comparing fatigue performance of alternative chassis materials or geometries during design review
- ✓ Supporting reliability-based warranty claims analysis and durability test planning
📐 Key Formulas
Basquin Equation (S–N relationship)
Δσ/2 = σ'_f (2N_f)^b
Relates stress amplitude (Δσ/2) to fatigue life (N_f) using fatigue strength coefficient (σ'_f) and exponent (b); forms the basis of the S–N curve library.
Miner’s Linear Damage Rule
D = Σ_{i=1}^k (n_i / N_i)
Cumulative damage index; predicts failure when D ≥ 1, where n_i is cycles experienced at stress level i and N_i is cycles to failure at that level.
Goodman Mean Stress Correction
(Δσ/2)_e = (Δσ/2) / [1 − (σ_m / σ_u)]
Adjusts stress amplitude for non-zero mean stress (σ_m) using ultimate tensile strength (σ_u), enabling more accurate life prediction under combined tension-compression loading.