Stage Depth Thrust Extension Lookup

Inventory actual abutting rectangular main/thrust playing areas, not audience sightline ratios, overlap geometry or a universal thrust-depth recommendation.

Description

An abutting thrust extension adds a separate rectangular playing area to the main stage.

An abutting thrust extension adds a separate rectangular playing area to the main stage. Its area share differs from longitudinal depth share.1

Enter positive widths and nonnegative depths with positive combined area. Return summed depth, area and thrust-area fraction.

When to use Stage Depth Thrust Extension Lookup

Use Stage Depth Thrust Extension Lookup when you need to evaluate the supplied records under the calculation and evidence rules below. No overlapping geometry, audience sightlines or preferred thrust design is modeled.

Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.

How to use Stage Depth Thrust Extension Lookup and understand its results

  1. Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
  2. Enter backstagePlayableDepthM, thrustExtensionDepthM, mainStageWidthM, thrustWidthM using the field table and calculation rules, then run the tool.
  3. Read totalLongitudinalPlayingDepthM, nonoverlappingPlayingAreaM2, thrustShareOfPlayingArea. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
backstagePlayableDepthMBackstage playable depth mnumberRequired
thrustExtensionDepthMThrust extension depth mnumberRequired
mainStageWidthMMain stage width mnumberRequired
thrustWidthMThrust width mnumberRequired

Enter positive widths and nonnegative depths with positive combined area. Return summed depth, area and thrust-area fraction.

area=mainWidth×mainDepth+thrustWidth×thrustDepth

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
totalLongitudinalPlayingDepthMTotal longitudinal playing depth mnumber
nonoverlappingPlayingAreaM2Nonoverlapping playing area m2number
thrustShareOfPlayingAreaThrust share of playing areanumber
json
{
  "input": {
    "backstagePlayableDepthM": 5,
    "thrustExtensionDepthM": 3,
    "mainStageWidthM": 8,
    "thrustWidthM": 4
  },
  "output": {
    "totalLongitudinalPlayingDepthM": 8,
    "nonoverlappingPlayingAreaM2": 52,
    "thrustShareOfPlayingArea": 0.23076923076923078
  }
}

Limitations and assumptions

No overlapping geometry, audience sightlines or preferred thrust design is modeled.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Proscenium Opening Ratio Lookup: Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific. For a complementary task, use Border Mask Height Sightline Calculator: A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path.

References

  1. Stage Depth Thrust Extension Lookup — tool.io

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