Magnet Component Dashboard
| ▼ Permanent Magnet Component | ||||
| ☰ | \( A_{\text{req, mag}} \) | Required Magnetic Face Area (m2) | 4.32 |
View Help GuidePurpose: Magnetic Flux Interface Face.
Logic: Establishes the total surface boundary area of high-density magnetic blocks required to deliver the target linear propulsion thrust.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$A_{\text{req, mag}} = \Sigma A_{\text{EM, active}}$$ Python Logic:
v["Electromagnetic Total Active Area (m2)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 4.3200 = 4.3200
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| ☰ | \( W_{\text{magnet, thickness}} \) | Magnet Thickness (m) |
View Help GuidePurpose: Magnetic Block Core Depth.
Logic: The physical thickness dimension of the permanent magnet blocks required to maintain structural integrity and flux depth.
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( \rho_{\text{neodymium, density}} \) | Neodymium Density (kg/m3) |
View Help GuidePurpose: Material Volumetric Mass Baseline.
Logic: Standard volumetric mass density for high-performance sintered neodymium-iron-boron magnetic components (NdFeB).
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( \Sigma M_{\text{permanent, magnet}} \) | Total Permanent Magnet Mass Per Side (kg) | 810 |
View Help GuidePurpose: Unilateral Array Weight.
Logic: The calculated physical mass of the permanent magnet block configuration applied to a single side of the moving track structure.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{permanent, magnet}} = A_{\text{req, mag}} \times W_{\text{magnet, thickness}} \times \rho_{\text{neodymium, density}}$$ Python Logic:
v["Required Magnetic Face Area (m2)"] * v["Magnet Thickness (m)"] * v["Neodymium Density (kg/m3)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 4.3200 * 0.0250 * 7,500.0000 = 810.0000
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| ☰ | \( X_{\text{sides}} \) | Permanent Magnet Component Sides |
View Help GuidePurpose: Symmetry Factor.
Logic: The quantity of matching structural faces receiving identical permanent magnet array layouts.
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( \Sigma M_{\text{permanent, magnet}} \) | Total Permanent Magnet Mass (kg) | 1,620 |
View Help GuidePurpose: Net Magnetic Array Mass.
Logic: The total aggregated weight of all permanent magnet components integrated into the complete moving track assembly.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{permanent, magnet}} = \Sigma M_{\text{permanent, magnet}} \times X_{\text{sides}}$$ Python Logic:
v["Total Permanent Magnet Mass Per Side (kg)"] * v["Permanent Magnet Component Sides"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 810.0000 * 2.0000 = 1,620.0000
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| ▼ Force Allocation: Corner Magnetics | ||||
| ☰ | \( F_{\text{outward, hoop}} \) | Outward Hoop Tension (N) | 1,039,617.198835 |
View Help GuidePurpose: Tension Load.
Logic: The internal force trying to snap or stretch the curved carbon fiber rails outward.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{outward, hoop}} = F_{\text{design, distributed}} \times R_{\text{cage, corner}}$$ Python Logic:
v["Design Distributed Load (N/m)"] * v["Cage Corner Radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 847,256.4924 * 1.2270 = 1,039,617.1988
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| ☰ | \( X_{\text{mag, counterpressure}} \) | Magnetic Counter-Pressure (%) |
View Help GuidePurpose: Compression Load.
Logic: The percentage of outward tension neutralized by the stand's electromagnetic inward push.
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( F_{\text{net, tension}} \) | Net Tension Load (N) | 623,770.319301 |
View Help GuidePurpose: Resultant Load.
Logic: The final force the carbon fiber material must hold without expanding beyond the deflection limit.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{net, tension}} = F_{\text{outward, hoop}} \times (1 - X_{\text{mag, counterpressure}})$$ Python Logic:
v["Outward Hoop Tension (N)"] * (1 - v["Magnetic Counter-Pressure (%)"])Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,039,617.1988 * (1 - 0.4000) = 623,770.3193
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