Gantry Internal Spine Wall Dashboard
| ▼ Internal Spine Wall | ||||
| ☰ | \( \tau_{\text{int, spine}} \) | Internal Spine Wall Assigned Torque (Nm) | 692,697.825046 |
View Help GuidePurpose: Torsional Resolve.
Logic: The specific chunk of twisting force this pillar is explicitly assigned to block to prevent system misalignment.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\tau_{\text{int, spine}} = \tau_{\text{gantry}} \times \tau_{\text{gantry, spine}}$$ Python Logic:
v["Gantry Force: Torque (Nm)"] * v["Gantry Spine Wall Torque Share (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,154,496.3751 * 0.6000 = 692,697.8250
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| ☰ | \( X_{\text{int, spine}} \) | Internal Spine Wall Module Type |
View Help GuidePurpose: Internal Spine Wall Module Type
Logic: The selection of the type of module used
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Auto selection Python Logic:
N/ALive Evaluation: N/A
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| ☰ | \( F_{\text{int, spine}} \) | Internal Spine Wall Assigned Vertical Load (N) | 32,711.490948 |
View Help GuidePurpose: Primary Axial Load.
Logic: The combined downward crush of the machinery and the roof acting on this specific wall.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$F_{\text{int, spine}} = ( ( \Sigma M_{\text{component}} \times N ) \times X_{\text{gantry, spine}} ) + (( \Sigma M_{\text{gantry, roof}} \times N) \times X_{\text{gantry, spine}} )$$ Python Logic:
( ( v["Total Component weight (kg)"] * v["Gravitational Field Strength (N/kg)"] ) * v["Gantry Spine Wall Gravity Share (%)"] ) + (( v["Gantry Roof Total Mass (kg)"] * v["Gravitational Field Strength (N/kg)"]) * v["Gantry Spine Wall Gravity Share (%)"] )Live Evaluation: [ROUTE: STATIC/GLOBAL] ( ( 5,553.2016 * 9.8066 ) * 0.5000 ) + (( 1,118.0859 * 9.8066) * 0.5000 ) = 32,711.4909
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| ☰ | \( I_{\text{int, spine}} \) | Internal Spine Wall Required Inertia (I) | 0.159064 |
View Help GuidePurpose: Minimum Second Moment of Area.
Logic: The absolute minimum geometric bulk this wall needs to prevent the frame from flexing beyond the allowed limit.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$I_{\text{int, spine}} = ( ( \tau_{\text{int, spine}} \times H_{\text{gantry, design}}^3 ) / ( 3 \times ( \text{Fossil Carbon Fibre Modulus (GPa)} \times 10^9 ) \times \Delta_{\text{max, allowable}} ) ) \times ( 1 - X_{\text{gantry, roof}} )$$ Python Logic:
( ( v["Internal Spine Wall 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] ( ( 692,697.8250 * 2.7852**3 ) / ( 3 * ( 230.0000 * 10**9 ) * 0.0001 ) ) * ( 1 - 0.4500 ) = 0.1591
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| ☰ | \( W_{\text{int, spine}} \) | Internal Spine Wall Predicted Min. Width (m) | 0.881653 |
View Help GuidePurpose: Calculated Thickness Baseline.
Logic: The razor-edge theoretical minimum wall thickness required to survive the operating stresses.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{int, spine}} = ( ( 12 \times I_{\text{int, spine}} ) / L_{\text{gantry}} ) ^ ( 1/3 )$$ Python Logic:
( ( 12 * v["Internal Spine Wall Required Inertia (I)"] ) / v["Gantry Wall Length (m)"] ) ^ ( 1/3 )Live Evaluation: [ROUTE: STATIC/GLOBAL] ( ( 12 * 0.1591 ) / 2.7852 ) ** ( 1/3 ) = 0.8817
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| ☰ | \( X_{\text{int, spine}} \) | Internal Spine Wall Module Count (Layers) | 1 |
View Help GuidePurpose: Sectional Layering.
Logic: Defines exactly how many layers deep the wall needs to be to achieve the required load-bearing thickness.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{int, spine}} = ROUNDUP ( W_{\text{int, spine}} / W_{\text{design, block}} , 0 )$$ Python Logic:
ROUNDUP ( v["Internal Spine Wall Predicted Min. Width (m)"] / v["Design Block Width (m)"] , 0 )Live Evaluation: [ROUTE: STATIC/GLOBAL] ROUNDUP ( 0.8817 / 0.9000 , 0 ) = 1.0000
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| ☰ | \( \Sigma X_{\text{int, spine}} \) | Internal Spine Wall Module Count (qty) | 9 |
View Help GuidePurpose: Total Component Inventory.
Logic: The master inventory count for ordering the blocks required to build this specific wall.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma X_{\text{int, spine}} = ROUNDUP(L_{\text{gantry, roof}} \times L_{\text{gantry, roof}})$$ Python Logic:
ROUNDUP(v["Gantry Roof Span Width (m)"]* v["Gantry Roof Span Width (m)"])Live Evaluation: [ROUTE: STATIC/GLOBAL] ROUNDUP(3.0000* 3.0000) = 9.0000
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| ☰ | \( V_{\text{int, spine}} \) | Internal Spine Wall Total Volume (m3) | 0.5544 |
View Help GuidePurpose: Internal Spine Wall Total Volume
Logic: The total volume of the internal spine wall for material sizing
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$V_{\text{int, spine}} = \Sigma X_{\text{int, spine}} \times V_{\text{webbed}}$$ Python Logic:
v["Internal Spine Wall Module Count (qty)"] * v["Module - Webbed Volume (m3)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 9.0000 * 0.0616 = 0.5544
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| ☰ | \( \Sigma M_{\text{int, spine}} \) | Internal Spine Wall Total Mass (kg) | 14,580 |
View Help GuidePurpose: Pillar Static Mass.
Logic: The total gravitational dead-weight this finished wall adds to the Top Base structure.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{int, spine}} = \Sigma X_{\text{int, spine}} \times M_{\text{design, block}}$$ Python Logic:
v["Internal Spine Wall Module Count (qty)"] * v["Design Block Weight (kg)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 9.0000 * 1,620.0000 = 14,580.0000
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| ☰ | \( X_{\text{int, spine}} \) | Internal Spine Wall Connectors per design block |
View Help GuidePurpose: Fastener Density.
Logic: The number of high-tensile steel shear-locks required per unit to ensure the stacked blocks act as one solid monolith.
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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| ☰ | \( X_{\text{int, spine}} \) | Internal Spine Wall Connector Count | 36 |
View Help GuidePurpose: Hardware Inventory.
Logic: The total quantity of Tapered Screw-Lock rods that must be ordered for this specific wall.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{int, spine}} = \Sigma X_{\text{int, spine}} \times X_{\text{int, spine}}$$ Python Logic:
v["Internal Spine Wall Module Count (qty)"] * v["Internal Spine Wall Connectors per design block"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 9.0000 * 4.0000 = 36.0000
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| ▼ Internal Spine Wall Safety Audit | ||||
| ☰ | \( \sigma_{\text{int, spine}} \) | Internal Spine Wall Applied Axial Stress (MPa) | 0.036346 |
View Help GuidePurpose: Compressive Stress.
Logic: The uniform downward pressure on the carbon fiber modules caused by the heavy weight of the machinery.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{int, spine}} = (F_{\text{int, spine}} / (W_{\text{design, block}} \times L_{\text{design, block}}))/10^6$$ Python Logic:
(v["Internal Spine Wall Assigned Vertical Load (N)"] / (v["Design Block Width (m)"] * v["Design Block Length (m)"]))/10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] (32,711.4909 / (0.9000 * 1.0000))/10**6 = 0.0363
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| ☰ | \( \sigma_{\text{int, spine}} \) | Internal Spine Wall Applied Bending Stress (MPa) | 1.959682 |
View Help GuidePurpose: Flexural Stress.
Logic: The tension and compression "squash" force acting on the wall's edges when the twisting torque hits.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{int, spine}} = ((\tau_{\text{int, spine}} \times (W_{\text{design, block}} / 2)) / I_{\text{int, spine}})/10^6$$ Python Logic:
((v["Internal Spine Wall Assigned Torque (Nm)"] * (v["Design Block Width (m)"] / 2)) / v["Internal Spine Wall Required Inertia (I)"])/10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] ((692,697.8250 * (0.9000 / 2)) / 0.1591)/10**6 = 1.9597
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| ☰ | \( \sigma_{\text{int, spine}} \) | Internal Spine Wall Combined Peak Stress (MPa) | 1.996028 |
View Help GuidePurpose: Ultimate Combined Stress.
Logic: Adds the downward crush stress to the twisting stress to find the absolute worst-case pressure on the carbon fiber.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\sigma_{\text{int, spine}} = \sigma_{\text{int, spine}} + \sigma_{\text{int, spine}}$$ Python Logic:
v["Internal Spine Wall Applied Axial Stress (MPa)"] + v["Internal Spine Wall Applied Bending Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0363 + 1.9597 = 1.9960
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| ☰ | \( SF_{\text{int, spine}} \) | Internal Spine Wall Structural Safety Factor | 299.594958 |
View Help GuidePurpose: Global Factor of Safety (FoS).
Logic: The ratio proving that the wall is structurally capable of surviving well beyond the peak operational loads.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$SF_{\text{int, spine}} = \sigma_{\text{material, yield}} / \sigma_{\text{int, spine}}$$ Python Logic:
v["Fossil Carbon Fibre Material Yield Strength (MPa)"] / v["Internal Spine Wall Combined Peak Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 598.0000 / 1.9960 = 299.5950
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| ☰ | \( X_{\text{individual, safety}} \) | Individual Wall Safety Blueprint Validation | ULTRA-SAFE |
View Help GuidePurpose: Technical Validation Status.
Logic: 1 if v["Internal Spine Wall Structural Safety Factor"] > v["Safety Factor Slider"] else 0
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{individual, safety}} = IF(SF_{\text{int, spine}} > SF_{\text{safety, factor}}, 1, 0)$$ Python Logic:
1 if v["Internal Spine Wall Structural Safety Factor"] > v["Safety Factor Slider"] else 0Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 if 299.5950 > 2.5000 else 0 = 1.0000
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