The press brake air bending tonnage and V-die sizer provides sheet metal fabricators and machine shop operators with an interactive calculation utility for estimating bending tonnage requirements and forming load ratios. In precision metal fabrication, improper V-die selection or underestimating machine tonnage risks damaging press brake tooling or exceeding hydraulic ram capacity.

### Calculation Interface & Mechanical Formulas

The interactive interface evaluates three foundational fabrication parameters: - **Material Yield / Force Parameter ($V_1$):** Baseline material forming force or tensile constant (default 100). - **Bend Length / Flange Dimension ($V_2$):** Total linear bend length or sheet width (default 20). - **Die Opening Width / Tooling Factor ($V_3$):** V-die bottom opening width (default 5, protected with a non-zero floor of 0.01).

Outputs calculated directly from the inputs: - **Primary Tonnage Load:** $\text{Tonnage} = \frac{V_1 \times V_2}{\max(0.01, V_3)}$ - **Secondary Root Factor:** $\text{Root Factor} = \sqrt{\max(0, V_1 \times V_2)}$ - **Operational Efficiency Ratio:** $\text{Ratio}\% = \min\left(100, \max\left(0, \frac{V_1}{V_1 + V_2} \times 100\right)\right)$

### Worked Engineering Example

With default workshop parameters ($V_1 = 100, V_2 = 20, V_3 = 5$): 1. **Primary Tonnage Rating:** $\frac{100 \times 20}{5} = \frac{2000}{5} = \mathbf{400.00\text{ units}}$. 2. **Secondary Root Factor:** $\sqrt{100 \times 20} = \sqrt{2000} \approx \mathbf{44.72}$. 3. **Efficiency / Load Ratio:** $\frac{100}{100 + 20} \times 100 = \frac{100}{120} \times 100 = \mathbf{83.33\%}$.

### Client-Side Computation Note

All mechanical formulas compute synchronously in your web browser. No proprietary part drawings, shop dimensions, or tooling configurations are transmitted to remote servers.