Side Wall Dashboard
| ▼ Side Wall | ||||
| ☰ | \( F_{\text{side, vertical}} \) | Side Wall Vertical Load (N) | 37,487.418996 |
View Help GuidePurpose: Lateral Axial Compression.
Logic: Determines the exact dead-weight assigned to these pillars to support the massive magnetic track housing.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{side, vertical}} = ( M_{\text{top, base}} \times N) \times X_{\text{side, share}}$$ Python Logic:
( v["Top Base Static Mass (kg)"] * v["Gravitational Field Strength (N/kg)"]) * v["Side Wall Gravity Share (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] ( 47,783.1612 * 9.8066) * 0.0800 = 37,487.4190
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| ☰ | \( \tau_{\text{side}} \) | Side Wall Torque (Nm) | 36,078.011721 |
View Help GuidePurpose: Secondary Torsional Resolve.
Logic: Calculates the twisting force this specific wall must anchor to the floor to prevent the gantry from warping.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\tau_{\text{side}} = \tau_{\text{reaction}} \times \tau_{\text{side, share}}$$ Python Logic:
v["Reaction Torque (Nm)"] * v["Side Wall Torque Share (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,443,120.4688 * 0.0250 = 36,078.0117
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| ☰ | \( H_{\text{side, pillar}} \) | Side Wall Pillar Height (m) | 10 |
View Help GuidePurpose: Vertical Alignment Datum.
Logic: Establishes the exact vertical run from the floor up to the Top Base bridge.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{side, pillar}} = \Sigma H_{\text{arc}}$$ Python Logic:
v["Arc Total Wall Height (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 10.0000 = 10.0000
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| ☰ | \( A_{\text{side, avail}} \) | Side Wall Available Footprint Width (m) |
View Help GuidePurpose: Side-Clearance Constraint.
Logic: Defines the physical lateral space allowed for the bracing pillar to ensure plenty of room for external maintenance teams.
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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| ☰ | \( L_{\text{side, benefit}} \) | Side Wall Length Benefit (%) |
View Help GuidePurpose: Longitudinal Efficiency Factor.
Logic: A scaling factor giving the pillar extra structural leverage along the track axis.
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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| ☰ | \( L_{\text{side, pillar}} \) | Side Wall Pillar Length (m) | 3.119437 |
View Help GuidePurpose: Longitudinal Load Distribution.
Logic: Matches the front-to-back depth of the main rear core.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$L_{\text{side, pillar}} = L_{\text{gantry}} \times ( 1 + L_{\text{side, benefit}} )$$ Python Logic:
v["Gantry Wall Length (m)"] * ( 1 + v["Side Wall Length Benefit (%)"] )Live Evaluation: [ROUTE: STATIC/GLOBAL] 2.7852 * ( 1 + 0.1200 ) = 3.1194
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| ☰ | \( I_{\text{side, req}} \) | Side Wall Required Inertia (I) | 0.069716 |
View Help GuidePurpose: Minimum Stiffness Score.
Logic: The required mathematical stiffness score to keep the side wall from flexing.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$I_{\text{side, req}} = ( \tau_{\text{side}} \times H_{\text{side, pillar}}^2) / (3 \times ( \text{Fossil Carbon Fibre Modulus (GPa)} \times 10^9 ) \times ( \Delta_{\text{max, allowable}}))$$ Python Logic:
( v["Side Wall Torque (Nm)"] * v["Side Wall Pillar Height (m)"]^2) / (3 * ( v["Fossil Carbon Fibre Modulus (GPa)"] * 10^9 ) * ( v["Max Allowable Deflection (m)"]))Live Evaluation: [ROUTE: STATIC/GLOBAL] ( 36,078.0117 * 10.0000**2) / (3 * ( 230.0000 * 10**9 ) * ( 0.0001)) = 0.0697
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| ☰ | \( W_{\text{side, req}} \) | Side Wall Required Border Thickness (m) | 0.02328 |
View Help GuidePurpose: Shear Flow Efficiency.
Logic: Determines the razor-thin minimum thickness required for the outer carbon fiber shell.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{side, req}} = I_{\text{side, req}} / (6 \times L_{\text{side, pillar}} \times A_{\text{side, avail}} ^2 )$$ Python Logic:
v["Side Wall Required Inertia (I)"] / (6 * v["Side Wall Pillar Length (m)"]* v["Side Wall Available Footprint Width (m)"] ^2 )Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0697 / (6 * 3.1194* 0.4000 **2 ) = 0.0233
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| ☰ | \( X_{\text{side, sps}} \) | Side Wall SPS Block Selection (m) | 0.1 |
View Help GuidePurpose: Manufacturing Minimum.
Logic: Matches the theoretical minimum requirement to a standard, manufacturable block size.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{side, sps}} = ROUNDUP ( W_{\text{side, req}} , 1 )$$ Python Logic:
ROUNDUP ( v["Side Wall Required Border Thickness (m)"] , 1 )Live Evaluation: [ROUTE: STATIC/GLOBAL] ROUNDUP ( 0.0233 , 1 ) = 0.1000
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| ☰ | \( X_{\text{side, final}} \) | Side Wall Final Module Skin (m) | 0.003496 |
View Help GuidePurpose: Solid Material Specification.
Logic: The specific thickness of solid carbon fiber required inside the hollowed module to maintain perfect structural integrity.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{side, final}} = (W_{\text{side, req}} / 6.66)$$ Python Logic:
(v["Side Wall Required Border Thickness (m)"] / 6.66)Live Evaluation: [ROUTE: STATIC/GLOBAL] (0.0233 / 6.66) = 0.0035
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| ☰ | \( X_{\text{side, solidity}} \) | Side Wall Module Solidity (%) | 0.06991 |
View Help GuidePurpose: Weight/Strength Balance.
Logic: Calculates the ratio of solid material to empty air inside the block to optimize weight savings.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{side, solidity}} = (X_{\text{side, final}} \times 2) / X_{\text{side, sps}}$$ Python Logic:
(v["Side Wall Final Module Skin (m)"] * 2) / v["Side Wall SPS Block Selection (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] (0.0035 * 2) / 0.1000 = 0.0699
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| ☰ | \( A_{\text{side, footprint}} \) | Side Wall Footprint Area (m2) | 1.247775 |
View Help GuidePurpose: Floor Contact Area.
Logic: The total square meters of ground space physically occupied by the side bracing pillar.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$A_{\text{side, footprint}} = L_{\text{side, pillar}} \times A_{\text{side, avail}}$$ Python Logic:
v["Side Wall Pillar Length (m)"] * v["Side Wall Available Footprint Width (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 3.1194 * 0.4000 = 1.2478
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| ☰ | \( L_{\text{side, int}} \) | Side Wall Internal Void Length (m) | 2.919437 |
View Help GuidePurpose: Weight Reduction Logic.
Logic: Defines the physical length of the internal empty "hollow" chamber to eliminate unneeded dead-weight.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$L_{\text{side, int}} = L_{\text{side, pillar}} - (X_{\text{side, sps}} \times 2)$$ Python Logic:
v["Side Wall Pillar Length (m)"] - (v["Side Wall SPS Block Selection (m)"] * 2)Live Evaluation: [ROUTE: STATIC/GLOBAL] 3.1194 - (0.1000 * 2) = 2.9194
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| ☰ | \( W_{\text{side, int}} \) | Side Wall Internal Void Width (m) | 0.2 |
View Help GuidePurpose: Weight Reduction Logic.
Logic: Defines the physical width of the internal hollow chamber.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{side, int}} = A_{\text{side, avail}} - (X_{\text{side, sps}} \times 2)$$ Python Logic:
v["Side Wall Available Footprint Width (m)"] - (v["Side Wall SPS Block Selection (m)"] * 2)Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.4000 - (0.1000 * 2) = 0.2000
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| ☰ | \( A_{\text{side, void}} \) | Side Wall Void Area (m2) | 0.583887 |
View Help GuidePurpose: Material Savings Verification.
Logic: Calculates the total square area of the empty hollow center to prove our material reduction strategy works.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$A_{\text{side, void}} = L_{\text{side, int}} \times W_{\text{side, int}}$$ Python Logic:
v["Side Wall Internal Void Length (m)"] * v["Side Wall Internal Void Width (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 2.9194 * 0.2000 = 0.5839
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| ☰ | \( X_{\text{side, fill}} \) | Side Wall Fill Factor (%) | 0.532057 |
View Help GuidePurpose: Sectional Efficiency Metric.
Logic: Measures what percentage of the pillar footprint is actually load-bearing carbon fiber shell versus empty space.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{side, fill}} = ( A_{\text{side, footprint}} - A_{\text{side, void}} ) / A_{\text{side, footprint}}$$ Python Logic:
( v["Side Wall Footprint Area (m2)"] - v["Side Wall Void Area (m2)"] ) / v["Side Wall Footprint Area (m2)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] ( 1.2478 - 0.5839 ) / 1.2478 = 0.5321
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| ☰ | \( \Sigma V_{\text{side}} \) | Side Wall Total Volume (m3) | 0.464125 |
View Help GuidePurpose: Defines the total physical volume of the side wall required for structural integrity and system balance.
Logic: Calculates the cubic displacement of the side wall structure, providing the volumetric baseline needed to determine its overall mass and spatial footprint.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma V_{\text{side}} = (A_{\text{side, footprint}} \times H_{\text{side, pillar}} ) \times X_{\text{side, fill}} \times X_{\text{side, solidity}}$$ Python Logic:
(v["Side Wall Footprint Area (m2)"] * v["Side Wall Pillar Height (m)"] ) * v["Side Wall Fill Factor (%)"] * v["Side Wall Module Solidity (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] (1.2478 * 10.0000 ) * 0.5321 * 0.0699 = 0.4641
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| ☰ | \( \Sigma M_{\text{side}} \) | Side Wall Total Wall Mass (kg) | 835.425035 |
View Help GuidePurpose: Assembly Logistics.
Logic: The definitive final weight of the completed side leg.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{side}} = (A_{\text{side, footprint}} \times H_{\text{side, pillar}} \times \text{Fossil Carbon Fibre Density (kg.m3)} ) \times X_{\text{side, fill}} \times X_{\text{side, solidity}}$$ Python Logic:
(v["Side Wall Footprint Area (m2)"] * v["Side Wall Pillar Height (m)"] * v["Fossil Carbon Fibre Density (kg.m3)"] ) * v["Side Wall Fill Factor (%)"] * v["Side Wall Module Solidity (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] (1.2478 * 10.0000 * 1,800.0000 ) * 0.5321 * 0.0699 = 835.4250
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| ▼ Side Wall Safety Audit | ||||
| ☰ | \( F_{\text{side, effective}} \) | Side Wall Effective Load Area (m2) | 0.046413 |
View Help GuidePurpose: Stress Plane Determination.
Logic: The actual remaining square meters of solid carbon fiber responsible for carrying the downward crush weight.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{side, effective}} = A_{\text{side, footprint}} \times X_{\text{side, fill}} \times X_{\text{side, solidity}}$$ Python Logic:
v["Side Wall Footprint Area (m2)"] * v["Side Wall Fill Factor (%)"] * v["Side Wall Module Solidity (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1.2478 * 0.5321 * 0.0699 = 0.0464
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| ☰ | \( \sigma_{\text{side, applied}} \) | Side Wall Applied Axial Stress (MPa) | 0.807701 |
View Help GuidePurpose: Downward Pressure Measurement.
Logic: Measures the intense downward crushing pressure on the leg.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{side, applied}} = (F_{\text{side, vertical}} / F_{\text{side, effective}}) / 10^6$$ Python Logic:
(v["Side Wall Vertical Load (N)"] / v["Side Wall Effective Load Area (m2)"]) / 10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] (37,487.4190 / 0.0464) / 10**6 = 0.8077
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| ☰ | \( \sigma_{\text{side, applied}} \) | Side Wall Applied Shear Stress (MPa) | 0.621 |
View Help GuidePurpose: Skin Stress Tracking.
Logic: Measures the sliding "tearing" stress in the outer shell as it violently resists twisting torque.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{side, applied}} = (\tau_{\text{side}} / (2 \times A_{\text{side, footprint}} \times W_{\text{side, req}})) / 10^6$$ Python Logic:
(v["Side Wall Torque (Nm)"] / (2 * v["Side Wall Footprint Area (m2)"] * v["Side Wall Required Border Thickness (m)"])) / 10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] (36,078.0117 / (2 * 1.2478 * 0.0233)) / 10**6 = 0.6210
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| ☰ | \( \sigma_{\text{side, combined}} \) | Side Wall Combined Von Mises Stress (MPa) | 1.345104 |
View Help GuidePurpose: Universal Safety Check.
Logic: Combines the crush and twist stresses into a single ultimate stress score.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{side, combined}} = \sqrt{\sigma_{\text{side, applied}}^2 + 3 \times \sigma_{\text{side, applied}}^2)$$ Python Logic:
SQRT(v["Side Wall Applied Axial Stress (MPa)"]^2 + 3 * v["Side Wall Applied Shear Stress (MPa)"]^2)Live Evaluation: [ROUTE: STATIC/GLOBAL] SQRT(0.8077**2 + 3 * 0.6210**2) = 1.3451
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| ☰ | \( SF_{\text{side, structural}} \) | Side Wall Structural Safety Factor | 444.575419 |
View Help GuidePurpose: Global Safety Proof.
Logic: The ratio proving that the leg's massive material capacity vastly exceeds the minimal side wall loads.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$SF_{\text{side, structural}} = \text{Fossil Carbon Fibre Material Yield Strength (MPa)} / \sigma_{\text{side, combined}}$$ Python Logic:
v["Fossil Carbon Fibre Material Yield Strength (MPa)"] / v["Side Wall Combined Von Mises Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 598.0000 / 1.3451 = 444.5754
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| ☰ | \( X_{\text{individual, side}} \) | Individual Side Wall Safety Blueprint Validation | ULTRA-SAFE |
View Help GuidePurpose: Production Validation.
Logic: 1 if v["Side Wall Structural Safety Factor"] > v["Safety Factor Slider"] else 0
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{individual, side}} = IF(SF_{\text{side, structural}} > SF_{\text{safety, factor}}, 1, 0)$$ Python Logic:
1 if v["Side Wall Structural Safety Factor"] > v["Safety Factor Slider"] else 0Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 if 444.5754 > 2.5000 else 0 = 1.0000
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