| ▼ Support Layer Synthesis (The Hollow Risers) | ||||
| ☰ | \( \Sigma X_{\text{support, gap}} \) | Total Support Gap (m) | 0.000000 |
View Help GuidePurpose: Vertical Envelope.
Logic: Defines the total remaining vertical space available for the support layers within the housing stack.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Total Layer Height (m) - ( Top Cover Height (m) + Bottom Cover Height (m) + Runner Profile Height (m) ) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( H_{\text{individual, support}} \) | Individual Support Height (m) | 0.000000 |
View Help GuidePurpose: Sectional Depth.
Logic: The vertical dimension of each individual hollow riser (Top and Bottom) within the module.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Total Support Gap (m) / 2 Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( W_{\text{support, profile}} \) | Support Profile Width (m) | 0.000000 |
View Help GuidePurpose: Load Path Alignment.
Logic: Matches the riser width to the inner skeleton rails to ensure a perfectly direct, linear compression load path.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Prescribed Rail Width (m) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( A_{\text{req, support}} \) | Required Support Area (m2) | 0.000000 |
View Help GuidePurpose: Stiffness Transfer.
Logic: Inherits the exact cross-sectional material demand required to successfully maintain the specified deflection limit.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Required Runner Area (m2) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( X_{\text{synthesized, support}} \) | Synthesized Support Wall (m) | 0.000000 |
View Help GuidePurpose: The Blueprint.
Logic: The mathematically calculated wall thickness of the hollow carbon fiber riser required to meet structural area demands.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
( Support Profile Width (m) / 2 ) * ( 1 - SQRT ( MAX ( 0, 1 - ( Required Support Area (m2) / ( Individual Support Height (m) * Support Profile Width (m) ) ) ) ) ) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( X_{\text{support, layer}} \) | Support Layer Infill (%) | 0.000000 |
View Help GuidePurpose: Material Efficiency.
Logic: Represents the ratio of solid composite material versus hollow empty space within the riser profile.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Required Support Area (m2) / ( Individual Support Height (m) * Support Profile Width (m) ) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( M_{\text{modular, supports}} \) | Modular Weight: Supports (kg) | 0.000000 |
View Help GuidePurpose: Unit Mass.
Logic: The combined dry weight of both top and bottom hollow support risers for a single one-meter module.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Required Support Area (m2) * 2 * Module Length (m) * Carbon Fiber Density (kg/m3) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( \Sigma L_{\text{run}} \) | Total Run Length (m) | 0.000000 |
View Help GuidePurpose: System Span.
Logic: The total cumulative length of the track used for global mass modeling.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
DLLS Track full run length (m) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( X_{\text{modules}} \) | Modules | 0.000000 |
View Help GuidePurpose: Component Multiplier.
Logic: The total number of one-meter segments required to complete the full track run.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Total Run Length (m) / Module Length (m) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( \Sigma M_{\text{support, layers}} \) | Total Support Layers Weight (kg) | 0.000000 |
View Help GuidePurpose: Cumulative Riser Mass.
Logic: The huge total weight of all support risers across the full operational run length of the system.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Modular Weight: Supports (kg) * Modules Python Logic:
N/ALive Evaluation: N/A
|
| ▼ Support Layer Safety & Buckling Audit | ||||
| ☰ | \( I_{\text{hollow, inertia}} \) | Hollow Moment of Inertia (I) | 0.000000 |
View Help GuidePurpose: Geometric Stiffness.
Logic: Quantifies the specific structural resistance of the hollow rectangular profile against buckling or bowing laterally.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
( ( Support Profile Width (m) * ( Individual Support Height (m) ^ 3) ) / 12 ) - ( ( ( Support Profile Width (m) - ( 2 * Synthesized Support Wall (m) ) ) * ( ( Individual Support Height (m) - ( 2 * Synthesized Support Wall (m) ) ) ^ 3 ) ) / 12 ) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( F_{\text{critical, buckling}} \) | Critical Buckling Load (N) | 0.000000 |
View Help GuidePurpose: Stability Limit.
Logic: The theoretical peak force required to cause the hollow riser walls to undergo sudden geometric failure (Euler buckling).
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
( PI()^2 * ( Carbon Fibre Modulus (GPa) * 10^9 ) * Hollow Moment of Inertia (I)) / ( Individual Support Height (m) ^ 2 ) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( SF_{\text{buckling, safety}} \) | Buckling Safety Factor | 0.000000 |
View Help GuidePurpose: Stability Margin.
Logic: Evaluates the ratio between the calculated buckling resistance and the actual applied operational load to ensure absolute structural headroom.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Critical Buckling Load (N) / Net Structural Load (N) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( X_{\text{support, layer}} \) | Support Layer Safety & Buckling Blueprint Validation | 0.000000 |
View Help GuidePurpose: Status Validation.
Logic: Automated confirmation that the newly hollowed support geometry safely meets stability requirements for high-precision operation.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
IF ( Buckling Safety Factor > Safety Factor Slider , "ULTRA-SAFE" , "REVISE" ) Python Logic:
N/ALive Evaluation: N/A
|
| ▼ Support Layer Safety Audit | ||||
| ☰ | \( X_{\text{contact, pressure}} \) | Contact Pressure (MPa) | 0.000000 |
View Help GuidePurpose: Internal Material Stress.
Logic: Measures the compressive pressure aggressively exerted on the carbon fiber riser walls at the structural interface.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
( Net Structural Load (N) / Required Support Area (m2) ) / 1,000,000 Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( \sigma_{\text{material, yield}} \) | Material Yield Strength (MPa) | 598.000000 |
View Help GuidePurpose: Elastic Limit Threshold.
Logic: Establishes the maximum allowable stress the composite can withstand before undergoing permanent deformation.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Carbon Fibre Modulus (GPa) * 1000 * Strain Limit (%) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( SF_{\text{structural, safety}} \) | Structural Safety Factor | 0.000000 |
View Help GuidePurpose: Material Safety Margin.
Logic: Evaluates the final headroom between the material’s raw physical capacity and the applied operational pressure.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Material Yield Strength (MPa) / Contact Pressure (MPa) Python Logic:
N/ALive Evaluation: N/A
|
| ☰ | \( X_{\text{support, layer}} \) | Support Layer Safety Blueprint Validation | 0.000000 |
View Help GuidePurpose: Status Validation.
Logic: Automated confirmation that the support wall thickness is sufficient to prevent long-term fatigue or material crushing.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
IF ( Structural Safety Factor > Safety Factor Slider , "ULTRA-SAFE" , "REVISE" ) Python Logic:
N/ALive Evaluation: N/A
|