Pivot Swing Dashboard

Pivot swing radius
\( X_{\text{vertical, reach}} \) Enabler Vertical Reach (m) 0.289446
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Purpose: Maximum Extension.
Logic: The distance from the central pivot shaft axis to the furthest vertical edge of the enabler.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{vertical, reach}} = W_{\text{enab, width}} / 2$$
Python Logic: v["Enabler diameter (m)"] / 2
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.5789 / 2 = 0.2894
\( F_{\text{load, above}} \) Load Above Central Point (%)
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Purpose: Mass Distribution Offset.
Logic: Defines the percentage of the enabler volume positioned above the pivot axis to determine the effective swing center.
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input
Python Logic: N/A
Live Evaluation: N/A (Input Variable)
\( \Sigma X_{\text{vertical, reach}} \) Enabler Total Vertical Reach (m) 0.303918
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Purpose: Effective Pivot Radius.
Logic: The resolved vertical distance used to map the circular path of the enabler's center of mass.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma X_{\text{vertical, reach}} = X_{\text{vertical, reach}} \times ( 1 + F_{\text{load, above}} )$$
Python Logic: v["Enabler Vertical Reach (m)"] * ( 1 + v["Load Above Central Point (%)"] )
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.2894 * ( 1 + 0.0500 ) = 0.3039
\( R_{\text{swing}} \) Enabler Swing Radius (m) 0.303918
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Purpose: Kinetic Clearance Boundary.
Logic: The minimum radius required to prevent structural interference during the enabler's rotational path.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$R_{\text{swing}} = \Sigma X_{\text{vertical, reach}}$$
Python Logic: v["Enabler Total Vertical Reach (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.3039 = 0.3039
\( D_{\text{dynamic, clearance}} \) Dynamic Diameter Clearance Buffer (m) 0.607837
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Purpose: Sweep Diameter.
Logic: The total vertical and horizontal envelope required for the enabler train's unhindered movement.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$D_{\text{dynamic, clearance}} = R_{\text{swing}} \times 2$$
Python Logic: v["Enabler Swing Radius (m)"] * 2
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.3039 * 2 = 0.6078
\( X_{\text{safety, buffer}} \) Safety Buffer (%)
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Purpose: Transient Tolerance.
Logic: Provides supplemental breathing room to accommodate mechanical surges or thermal expansion.
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable User Input
Python Logic: N/A
Live Evaluation: N/A (Input Variable)
\( \Sigma H_{\text{runner, cavity}} \) Total Runner Cavity Height (m) 0.668620
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Purpose: Internal Envelope.
Logic: The total vertical height required within the modular track sandwich to fully house the rotating payload.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma H_{\text{runner, cavity}} = D_{\text{dynamic, clearance}} \times ( 1 + X_{\text{safety, buffer}} )$$
Python Logic: v["Dynamic Diameter Clearance Buffer (m)"]* ( 1 + v["Safety Buffer (%)"] )
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.6078* ( 1 + 0.1000 ) = 0.6686
Pivot swing radius & Layers
\( H_{\text{top, cover}} \) Top Cover Height (m) 0.000000
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Purpose: Layer 1 - Protective Shield.
Logic: The vertical thickness of the upper crash-rated ventilated containment cover.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{top, cover}} = H_{\text{predicted, cover}}$$
Python Logic: v["Predicted Cover Height (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0000 = 0.0000
\( H_{\text{top, support}} \) Top Support Height (m) 0.334310
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Purpose: Layer 2 - Upper Riser.
Logic: The height of the hollow structural spacer between the cover and the running track.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{top, support}} = ( \Sigma H_{\text{runner, cavity}} - H_{\text{runner, profile}}) / 2$$
Python Logic: ( v["Total Runner Cavity Height (m)"] - v["Runner Profile Height (m)"]) / 2
Live Evaluation: [ROUTE: STATIC/GLOBAL] ( 0.6686 - 0.0000) / 2 = 0.3343
\( H_{\text{runner, profile}} \) Runner Profile Height (m) 0.000000
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Purpose: Layer 3 - Guidance Track.
Logic: The solid thickness of the primary wheel-guide rails engineered for the required precision.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{runner, profile}} = H_{\text{predicted, runner}}$$
Python Logic: v["Predicted Runner Height (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0000 = 0.0000
\( H_{\text{bottom, support}} \) Bottom Support Height (m) 0.334310
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Purpose: Layer 4 - Lower Riser.
Logic: The height of the hollow structural spacer supporting the guide track from below.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{bottom, support}} = ( \Sigma H_{\text{runner, cavity}} - H_{\text{runner, profile}} ) / 2$$
Python Logic: ( v["Total Runner Cavity Height (m)"] - v["Runner Profile Height (m)"] ) / 2
Live Evaluation: [ROUTE: STATIC/GLOBAL] ( 0.6686 - 0.0000 ) / 2 = 0.3343
\( H_{\text{bottom, cover}} \) Bottom Cover Height (m) 0.000000
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Purpose: Layer 5 - Lower Shield.
Logic: The vertical thickness of the bottom crash-rated ventilated containment cover.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$H_{\text{bottom, cover}} = H_{\text{predicted, cover}}$$
Python Logic: v["Predicted Cover Height (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0000 = 0.0000
\( \Sigma H_{\text{layer}} \) Total Layer Height (m) 0.668620
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Purpose: Combined Structural Depth.
Logic: The total vertical height of the modular track sandwich used to derive the inner skeleton radius.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma H_{\text{layer}} = H_{\text{top, cover}} + H_{\text{top, support}} + H_{\text{runner, profile}} + H_{\text{bottom, support}} + H_{\text{bottom, cover}}$$
Python Logic: v["Top Cover Height (m)"] + v["Top Support Height (m)"] + v["Runner Profile Height (m)"] + v["Bottom Support Height (m)"] + v["Bottom Cover Height (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0000 + 0.3343 + 0.0000 + 0.3343 + 0.0000 = 0.6686
Pivot swing diameter
\( D \) Enabler diameter (m) 0.578892
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Purpose: Enabler Breadth.
Logic: Defines the total vertical footprint of the enabler unit for clearance calculations.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$D = D$$
Python Logic: v["Enabler diameter (m)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.5789 = 0.5789