Top Track Rotation Gear Dashboard
| ▼ Top Track Rotation Gear | ||||
| ☰ | \( \tau_{\text{pinion, operating}} \) | Pinion Operating Torque (Nm) | 721,560.234386 |
View Help GuidePurpose: Input Torsional Load.
Logic: The localized torque experienced at the drive pinion axis to deliver the target system thrust.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\tau_{\text{pinion, operating}} = \tau_{\text{swivel, design}} / \eta_{\text{mechanical, reduction}}$$ Python Logic:
v["Swivel Design Torque (Nm)"] / v["Mechanical Reduction Ratio"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,443,120.4688 / 2.0000 = 721,560.2344
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| ☰ | \( R_{\text{drive, pinion}} \) | Drive Pinion Gear Radius (m) | 1.114085 |
View Help GuidePurpose: Pinion Hub Radius.
Logic: The physical radius of the upper input rotation gear wheel profile.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$R_{\text{drive, pinion}} = R_{\text{input}}$$ Python Logic:
v["TAR 1 Top track rotation gear radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1.1141 = 1.1141
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| ☰ | \( F_{\text{net, tangential}} \) | Net Tangential Rotation Force (N) | 647,670.951874 |
View Help GuidePurpose: Linear Gear Mesh Pull.
Logic: The matching directional force moving across the hugging chain interface.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{net, tangential}} = \tau_{\text{pinion, operating}} / R_{\text{drive, pinion}}$$ Python Logic:
v["Pinion Operating Torque (Nm)"] / v["Drive Pinion Gear Radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 721,560.2344 / 1.1141 = 647,670.9519
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| ☰ | \( W_{\text{predicted, pinion}} \) | Predicted Pinion Face Width (m) | 1.001953 |
View Help GuidePurpose: Spine Continuity Thickness.
Logic: Flushes the input pinion face width to the master track gear width to preserve structural load paths.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{predicted, pinion}} = W_{\text{predicted, rotation}}$$ Python Logic:
v["Predicted Rotation Gear Width (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1.0020 = 1.0020
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| ☰ | \( N_{\text{active, pinion}} \) | Number of Active Pinion Pockets | 35 |
View Help GuidePurpose: Pinion Load Footprint.
Logic: The reduced quantity of active pocket indents sharing the drive load over a 180-degree wrap.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$N_{\text{active, pinion}} = (\pi \times R_{\text{drive, pinion}}) / X_{\text{rotation, chain}}$$ Python Logic:
(PI() * v["Drive Pinion Gear Radius (m)"]) / v["Rotation Chain Pitch (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] (PI() * 1.1141) / 0.1000 = 35.0000
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| ☰ | \( F_{\text{pinion, pocket}} \) | Force Per Pinion Pocket (N) | 18,504.88434 |
View Help GuidePurpose: Concentrated Contact Pressure.
Logic: The localized physical force hitting a single pinion tooth indent wall.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{pinion, pocket}} = F_{\text{net, tangential}} / N_{\text{active, pinion}}$$ Python Logic:
v["Net Tangential Rotation Force (N)"] / v["Number of Active Pinion Pockets"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 647,670.9519 / 35.0000 = 18,504.8843
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| ▼ Top Track Rotation Gear Mass | ||||
| ☰ | \( V_{\text{top, track}} \) | Top Track Rotation Gear Volume (m3) | 3.906912 |
View Help GuidePurpose: None
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$V_{\text{top, track}} = \pi \times R_{\text{drive, pinion}}^2 \times W_{\text{predicted, pinion}}$$ Python Logic:
PI() * v["Drive Pinion Gear Radius (m)"]^2 * v["Predicted Pinion Face Width (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] PI() * 1.1141**2 * 1.0020 = 3.9069
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| ☰ | \( M_{\text{top, track}} \) | Top Track Rotation Gear Mass (kg) | 7,032.440846 |
View Help GuidePurpose: None
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$M_{\text{top, track}} = V_{\text{top, track}} \times D_{\text{FCF}}$$ Python Logic:
v["Top Track Rotation Gear Volume (m3)"] * v["Fossil Carbon Fibre Density (kg.m3)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 3.9069 * 1,800.0000 = 7,032.4408
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| ☰ | \( V_{\text{top, track}} \) | Top Track Rotation Gear Volume Reduction Factor (%) |
View Help GuidePurpose: None
Logic: None
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
N/A Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( \Sigma V_{\text{top, track}} \) | Top Track Rotation Gear Total Volume (m3) | 1.953456 |
View Help GuidePurpose: None
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma V_{\text{top, track}} = V_{\text{top, track}} \times V_{\text{top, track}}$$ Python Logic:
v["Top Track Rotation Gear Volume (m3)"] * v["Top Track Rotation Gear Volume Reduction Factor (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 3.9069 * 0.5000 = 1.9535
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| ☰ | \( \Sigma M_{\text{top, track}} \) | Top Track Rotation Gear Total Mass (kg) | 3,516.220423 |
View Help GuidePurpose: None
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{top, track}} = M_{\text{top, track}} \times V_{\text{top, track}}$$ Python Logic:
v["Top Track Rotation Gear Mass (kg)"] * v["Top Track Rotation Gear Volume Reduction Factor (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 7,032.4408 * 0.5000 = 3,516.2204
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| ▼ Top Track Rotation Gear Safety Audit | ||||
| ☰ | \( \sigma_{\text{pinion, bending}} \) | Pinion Bending Stress (MPa) | 0.099465 |
View Help GuidePurpose: Flexural Stress Verification.
Logic: Quantifies the structural bending stress across the smaller pinion teeth to ensure safe material operation.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{pinion, bending}} = ((6 \times F_{\text{net, tangential}} \times R_{\text{drive, pinion}}) / (N_{\text{active, pinion}} \times W_{\text{predicted, pinion}} \times (R_{\text{drive, pinion}}^2))) / 10^6$$ Python Logic:
((6 * v["Net Tangential Rotation Force (N)"] * v["Drive Pinion Gear Radius (m)"]) / (v["Number of Active Pinion Pockets"] * v["Predicted Pinion Face Width (m)"] * (v["Drive Pinion Gear Radius (m)"]^2))) / 10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] ((6 * 647,670.9519 * 1.1141) / (35.0000 * 1.0020 * (1.1141**2))) / 10**6 = 0.0995
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| ☰ | \( SF_{\text{pinion, safety}} \) | Pinion Gear Safety Factor | 6,012.140162 |
View Help GuidePurpose: Pinion Structural Margin.
Logic: The safety factor evaluating the structural headroom of the smaller input gear wheel.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$SF_{\text{pinion, safety}} = \text{Fossil Carbon Fibre Material Yield Strength (MPa)} / \sigma_{\text{pinion, bending}}$$ Python Logic:
v["Fossil Carbon Fibre Material Yield Strength (MPa)"] / v["Pinion Bending Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 598.0000 / 0.0995 = 6,012.1402
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| ☰ | \( X_{\text{pinion, blueprint}} \) | Pinion Blueprint Validation | ULTRA-SAFE |
View Help GuidePurpose: Status Validation.
Logic: 1 if v["Pinion Gear Safety Factor"] > v["Safety Factor Slider"] else 0
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{pinion, blueprint}} = IF(SF_{\text{pinion, safety}} > SF_{\text{safety, factor}}, 1, 0)$$ Python Logic:
1 if v["Pinion Gear Safety Factor"] > v["Safety Factor Slider"] else 0Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 if 6,012.1402 > 2.5000 else 0 = 1.0000
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