diff --git a/README.md b/README.md index a7d9d02..d80621d 100644 --- a/README.md +++ b/README.md @@ -148,27 +148,27 @@ $$ * Bolts used instead of precision 5 mm mild steel pins * Outer diameter maintained at **5 mm** using **PLA sleeves** * Inner bolt shaft assumed 4 mm (typical M4 bolt shank) -* **Steel Yield Strength: 260 MPa** +* Steel Yield Strength: 260 MPa -###### Cross-sectional Area (4 mm bolt): +- **Cross-sectional Area (4 mm bolt)**: $$ A = \frac{\pi D^2}{4} = \frac{\pi \cdot 4^2}{4} = 12.57 \, \text{mm}^2 $$ -* **Force per bolt**: +- **Force per bolt**: $$ F_{\text{bolt}} = 260 \times 12.57 = 3,268.2 \, \text{N} $$ -* **Total force (4 bolts)**: +- **Total force (4 bolts)**: $$ F_{\text{total}} = 4 \times 3,268.2 = 13,072.8 \, \text{N} $$ -* **Torque capacity**: +- **Torque capacity**: $$ \tau = 13,072.8 \times 0.0335 = \boxed{437.9 \, \text{Nm}} \quad \text{(Safe✅)}