Gantry Outer Shell Walls Dashboard
| ▼ Outer Shell Walls | ||||
| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls Count |
View Help GuidePurpose: Outer Shell Walls Count
Logic: The number of wall layers
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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| ☰ | \( \tau_{\text{outer, shell}} \) | Outer Shell Walls Assigned Torque (Nm) | 144,312.046885 |
View Help GuidePurpose: Tertiary Torsional Resolve.
Logic: The minimal rotational moment managed by the outer "skin" to maintain alignment and dampen high-frequency vibrations.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\tau_{\text{outer, shell}} = \tau_{\text{reaction}} \times \tau_{\text{gantry, outer}} / \text{Outer Shell Walls Count}$$ Python Logic:
v["Reaction Torque (Nm)"] * v["Gantry Outer Shell Walls (Combined) Torque Share (%)"] / v["Outer Shell Walls Count"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,443,120.4688 * 0.1000 / 1.0000 = 144,312.0469
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| ☰ | \( F_{\text{outer, shell}} \) | Outer Shell Walls Assigned Vertical Load (N) | 6,542.29819 |
View Help GuidePurpose: Ancillary Axial Load.
Logic: The minor gravitational "crush" force acting on the outer shells from the roof and machinery.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{outer, shell}} = ((\Sigma M_{\text{component}} \times N) \times X_{\text{gantry, outer}}) + (\Sigma M_{\text{gantry, roof}} \times N \times X_{\text{gantry, outer}}) / \text{Outer Shell Walls Count}$$ Python Logic:
((v["Total Component weight (kg)"] * v["Gravitational Field Strength (N/kg)"]) * v["Gantry Outer Shell Walls (Combined) Gravity Share (%)"]) + (v["Gantry Roof Total Mass (kg)"] * v["Gravitational Field Strength (N/kg)"] * v["Gantry Outer Shell Walls (Combined) Gravity Share (%)"]) / v["Outer Shell Walls Count"]Live Evaluation: [ROUTE: STATIC/GLOBAL] ((5,553.2016 * 9.8066) * 0.1000) + (1,118.0859 * 9.8066 * 0.1000) / 1.0000 = 6,542.2982
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| ☰ | \( I_{\text{outer, shell}} \) | Outer Shell Walls Required Inertia (I) | 0.033138 |
View Help GuidePurpose: Minimum Second Moment of Area.
Logic: The nominal geometric stiffness required for the shell to contribute to the global gantry's rigidity.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$I_{\text{outer, shell}} = ((\tau_{\text{outer, shell}} \times H_{\text{gantry, design}}^3) / (3 \times (\text{Fossil Carbon Fibre Modulus (GPa)} \times 10^9) \times \Delta_{\text{max, allowable}})) \times (1 - X_{\text{gantry, roof}})$$ Python Logic:
((v["Outer Shell Walls Assigned Torque (Nm)"] * v["Gantry Design Height (m)"]^3) / (3 * (v["Fossil Carbon Fibre Modulus (GPa)"] * 10^9) * v["Max Allowable Deflection (m)"])) * (1 - v["Gantry Roof Torsional Stiffness Boost (%)"])Live Evaluation: [ROUTE: STATIC/GLOBAL] ((144,312.0469 * 2.7852**3) / (3 * (230.0000 * 10**9) * 0.0001)) * (1 - 0.4500) = 0.0331
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| ☰ | \( W_{\text{outer, shell}} \) | Outer Shell Walls Predicted Minimum Width (m) | 0.522658 |
View Help GuidePurpose: Calculated Thickness Baseline.
Logic: Shows the razor-thin wall dimension that is technically sufficient for these non-critical loads.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{outer, shell}} = ((12 \times I_{\text{outer, shell}}) /L_{\text{gantry}})^(1/3)$$ Python Logic:
((12 * v["Outer Shell Walls Required Inertia (I)"]) /v["Gantry Wall Length (m)"])^(1/3)Live Evaluation: [ROUTE: STATIC/GLOBAL] ((12 * 0.0331) /2.7852)**(1/3) = 0.5227
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| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls Module Type |
View Help GuidePurpose: Mass Optimization Strategy.
Logic: Specifies the use of hollowed-out ("Webbed") modules to keep the structure light in low-stress zones.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
(Selection) Python Logic:
N/ALive Evaluation: N/A
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| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls Module Count (Stack) | 8 |
View Help GuidePurpose: Face Inventory Count.
Logic: The total number of structural blocks required to build a single outer wall face.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{outer, shell}} = ROUNDUP((H_{\text{gantry, design}}/ H_{\text{design, block}}) \times (L_{\text{gantry}} / L_{\text{design, block}}))$$ Python Logic:
ROUNDUP((v["Gantry Design Height (m)"]/ v["Design Block Height (m)"]) * (v["Gantry Wall Length (m)"] / v["Design Block Length (m)"]))Live Evaluation: [ROUTE: STATIC/GLOBAL] ROUNDUP((2.7852/ 1.0000) * (2.7852 / 1.0000)) = 8.0000
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| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls Layers |
View Help GuidePurpose: Outer Shell Walls Layers
Logic: The number of layers of the outer shell walls
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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| ☰ | \( \Sigma X_{\text{outer, shell}} \) | Outer Shell Walls Module Count (qty) | 8 |
View Help GuidePurpose: Global Shell Inventory.
Logic: The total quantity of webbed panels needed to skin both the left and right sides of the gantry assembly.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma X_{\text{outer, shell}} = X_{\text{outer, shell}} \times X_{\text{outer, shell}}$$ Python Logic:
v["Outer Shell Walls Module Count (Stack)"] * v["Outer Shell Walls Layers"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 8.0000 * 1.0000 = 8.0000
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| ☰ | \( \Sigma V_{\text{outer, shell}} \) | Outer Shell Walls Total Volume (m3) | 1.96 |
View Help GuidePurpose: Outer Shell Walls Total Volume
Logic: The total volume of the outer shell walls for material sizing
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma V_{\text{outer, shell}} = V_{\text{wdesign, block}} \times \Sigma X_{\text{outer, shell}}$$ Python Logic:
v["Wall Design Block Volume (m3)"] * v["Outer Shell Walls Module Count (qty)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.2450 * 8.0000 = 1.9600
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| ☰ | \( \Sigma M_{\text{outer, shell}} \) | Outer Shell Walls Total Mass (kg) | 3,528 |
View Help GuidePurpose: Ancillary Static Mass.
Logic: The total gravitational dead-weight that the outer shell panels add to the Top Base.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{outer, shell}} = \text{Outer Shell Walls Total Volume (m3)} \times D_{\text{FCF}}$$ Python Logic:
v["Outer Shell Walls Total Volume (m3)"] * v["Fossil Carbon Fibre Density (kg.m3)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1.9600 * 1,800.0000 = 3,528.0000
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| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls Connector Count | 32 |
View Help GuidePurpose: Hardware Inventory.
Logic: The exact number of steel shear-pins required to mechanically lock the outer skin layers together.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{outer, shell}} = \text{Outer Shell Walls Module Count (qty)} \times X_{\text{int, spine}}$$ Python Logic:
v["Outer Shell Walls Module Count (qty)"] * v["Internal Spine Wall Connectors per design block"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 8.0000 * 4.0000 = 32.0000
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| ☰ | \( \eta_{\text{outer, shell}} \) | Outer Shell Walls Solidity Ratio | 0.35 |
View Help GuidePurpose: Effective Load-Bearing Factor.
Logic: 1 - v["Outer Shell Walls Design Block - Webbed Volume reduction (%)"]
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\eta_{\text{outer, shell}} = 1 - V_{\text{design, block}}$$ Python Logic:
1 - v["Wall Design Block Volume Reduction (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 - 0.6500 = 0.3500
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| ▼ Outer Shell Walls Safety Audit | ||||
| ☰ | \( \sigma_{\text{outer, shell}} \) | Outer Shell Walls Applied Axial Stress (MPa) | 0.007457 |
View Help GuidePurpose: Net Section Compressive Stress.
Logic: ( (v["Outer Shell Walls Assigned Vertical Load (N)"] / (v["Design Block Width (m)"] * v["Gantry Wall Length (m)"])) / v["Outer Shell Walls Solidity Ratio"] ) / 10**6
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{outer, shell}} = ( (F_{\text{outer, shell}} / (W_{\text{outer, shell}} \times L_{\text{gantry}})) / \eta_{\text{outer, shell}} ) / 10^6$$ Python Logic:
( (v["Outer Shell Walls Assigned Vertical Load (N)"] / (v["Design Block Width (m)"] * v["Gantry Wall Length (m)"])) / v["Outer Shell Walls Solidity Ratio"] ) / 10**6Live Evaluation: [ROUTE: STATIC/GLOBAL] ( (6,542.2982 / (0.9000 * 2.7852)) / 0.3500 ) / 10**6 = 0.0075
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| ☰ | \( \sigma_{\text{outer, shell}} \) | Outer Shell Walls Applied Bending Stress (MPa) | 1.959682 |
View Help GuidePurpose: Net Section Flexural Stress.
Logic: ((v["Outer Shell Walls Assigned Torque (Nm)"] * (v["Design Block Width (m)"] / 2)) / v["Outer Shell Walls Required Inertia (I)"]) / 10**6
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{outer, shell}} = ((\tau_{\text{outer, shell}} \times (W_{\text{outer, shell}} / 2)) / I_{\text{outer, shell}}) / 10^6$$ Python Logic:
((v["Outer Shell Walls Assigned Torque (Nm)"] * (v["Design Block Width (m)"] / 2)) / v["Outer Shell Walls Required Inertia (I)"]) / 10**6Live Evaluation: [ROUTE: STATIC/GLOBAL] ((144,312.0469 * (0.9000 / 2)) / 0.0331) / 10**6 = 1.9597
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| ☰ | \( \sigma_{\text{outer, shell}} \) | Outer Shell Walls Combined Peak Stress (MPa) | 1.967139 |
View Help GuidePurpose: Unified Load State.
Logic: The absolute maximum pressure exerted on the hollowed-out carbon fiber sections under peak operating conditions.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{outer, shell}} = \sigma_{\text{outer, shell}} + \sigma_{\text{outer, shell}}$$ Python Logic:
v["Outer Shell Walls Applied Axial Stress (MPa)"] + v["Outer Shell Walls Applied Bending Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0075 + 1.9597 = 1.9671
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| ☰ | \( SF_{\text{outer, shell}} \) | Outer Shell Walls Structural Safety Factor | 303.994769 |
View Help GuidePurpose: Net Section Factor of Safety (FoS).
Logic: Mathematically validates that even with massive amounts of material removed, the hollowed shell is still far stronger than required.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$SF_{\text{outer, shell}} = \sigma_{\text{material, yield}} / \sigma_{\text{outer, shell}}$$ Python Logic:
v["Fossil Carbon Fibre Material Yield Strength (MPa)"] / v["Outer Shell Walls Combined Peak Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 598.0000 / 1.9671 = 303.9948
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| ☰ | \( X_{\text{outer, shell}} \) | Outer Shell Walls - Combined Safety Blueprint Validation | ULTRA-SAFE |
View Help GuidePurpose: Technical Validation Status.
Logic: 1 if v["Outer Shell Walls Structural Safety Factor"] > v["Safety Factor Slider"] else 0
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{outer, shell}} = IF(SF_{\text{outer, shell}} > SF_{\text{safety, factor}}, 1, 0)$$ Python Logic:
1 if v["Outer Shell Walls Structural Safety Factor"] > v["Safety Factor Slider"] else 0Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 if 303.9948 > 2.5000 else 0 = 1.0000
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