This mechanical machining calculator evaluates parameterized cutting force ratios, keyway tooth chip loads, and press ram tonnage margins for internal pull and push broaching operations. Tooling engineers, CNC machinists, and manufacturing technicians can evaluate workpiece shear resistance factors and machine safety margins.

### Parameterized Broaching Mechanics The calculation engine evaluates three primary dimensionless structural indices:

- **Calculated Result (Design Output):** Scales primary load by the operating factor over the safety divisor: $$\text{Result} = \frac{\text{Primary Load} \times \text{Operating Coefficient}}{\max(0.01, \text{Safety Factor})}$$ - **Secondary Geometric Sizing Scale:** Evaluates the root-product geometric scale: $$\text{Secondary Scale} = \sqrt{\text{Primary Load} \times \text{Operating Coefficient}}$$ - **Operational Ratio Index (%):** Computes fractional load distribution: $$\text{Ratio Index} = \left[ \frac{\text{Primary Load}}{\text{Primary Load} + \text{Operating Coefficient}} \right] \times 100$$

### Worked Numeric Example Evaluating internal keyway broaching machine parameters: - **Primary Dimension / Load:** 98 - **Operating Coefficient:** 28 - **Safety / Rate Factor:** 7

**Evaluation Steps:** 1. **Design Output:** $(98 \times 28) / 7 = 2744 / 7 = \mathbf{392.00}$. 2. **Geometric Scale:** $\sqrt{98 \times 28} = \sqrt{2744} \approx \mathbf{52.38}$. 3. **Ratio Index:** $[98 / (98 + 28)] \times 100 = (98 / 126) \times 100 \approx \mathbf{77.78\%}$.

### Engineering Context and Scope In metalworking broaching, total cutting force follows the physical equation $F_c = w \cdot c \cdot z_c \cdot k_c$, where $w$ is keyway slot width, $c$ is chip rise per tooth, $z_c$ is active teeth engaged simultaneously in the cut, and $k_c$ is specific material cutting resistance. This tool models parameterized tooling load indices running 100% locally in your client web browser with zero server data storage.