The Sheet Metal Punching & Piercing Shear Tonnage Sizer provides an interactive three-parameter algebraic modeling tool for exploring mechanical punch press capacity, cutting perimeter load, and material shear force proportions.

### Algebraic Ratio Formulation The component evaluates machine tool parameters using three generalized algebraic equations: - Primary Metric: $(val_1 \times val_2) / \max(0.01, val_3)$. In press tool modeling, this represents gross shearing force scaled relative to press bed rating or die clearance damping. - Geometric Mean (Secondary Index): $\sqrt{\max(0, val_1 \times val_2)}$, modeling geometric mean cutting perimeter and material thickness dimensions. - Efficiency Ratio (%): $\min(100, \max(0, (val_1 / (val_1 + val_2)) \times 100))$, modeling press tonnage capacity utilization efficiency.

### Note on Metal Forming Mechanics & Piercing Tonnage Formulas This tool computes a generalized three-parameter algebraic proxy. In certified tool and die manufacturing, calculating exact press brake or punch press tonnage requires empirical material mechanics: - Cutting Perimeter ($L$): For circular holes, $L = \pi \times d$; for rectangular cutouts, $L = 2(w + h)$. - Theoretical Piercing Tonnage: $$F = \frac{L \times t \times \tau_s}{2000\text{ (US tons)}} \quad \text{or} \quad F = \frac{L \times t \times \tau_s}{9806.65\text{ (Metric tonnes)}}$$ where $t$ is sheet metal thickness and $\tau_s$ is material shear strength (e.g. $\approx 200\text{ MPa}$ for aluminum, $\approx 350\text{ MPa}$ for mild steel, $\approx 600\text{ MPa}$ for 304 stainless steel). - Roof Shear Angle Relief: Beveling punch faces reduces instantaneous cutting force ($F_{\text{actual}} = F \times \frac{t}{t + s}$).

### Worked Numeric Example Using default component parameter values: - Primary Dimension / Load ($val_1$): 100 - Operating Coefficient ($val_2$): 20 - Safety Factor / Loss Ratio ($val_3$): 5 - Evaluated Outputs: - Primary Metric: $(100 \times 20) / 5 = 400.00$ - Geometric Mean: $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$ - Efficiency Ratio: $(100 / (100 + 20)) \times 100 = 83.33\%$

### Client-Side Processing Note All punch press calculations execute locally in your web browser with zero server data storage.