Calculations

Calculations

• Matching walls to the rating asked for

  Which walls are rated exactly, or at least, the time asked for.

  want = minutes, or hours × 60; match: minutes ≥ want, or minutes = want

  Assistant answers: fire ratings and room areas ask-tools.js

  • BimCraft
  64-bit

• Rooms under or over an area

  The rooms smaller or larger than a limit, with each area in square meters and square feet.

  limit in m² = limit in sq ft × 0.09290304; area in sq ft = area ÷ 0.09290304

  Assistant answers: fire ratings and room areas ask-tools.js

  • BimCraft
  64-bit

• Rounding to a number of decimals

  A value rounded to three decimals (or another count) for the workbook.

  round(x, d) = Math.round(x × 10ᵈ) ÷ 10ᵈ

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Lengths and areas written to the sheet

  Floor elevation and height, room height and room areas as the workbook holds them.

  length = round(x × k, 3); area = round(x × k², 3)

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Floor height

  The height of each floor, from its elevation to the next floor's.

  height = elevationₙ₊₁ − elevationₙ

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Warranty duration in years

  The length of a warranty from its start and end dates.

  years = (end − start) ÷ (365.25 × 86400000 ms), rounded to 0.1

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Expected life read from a workbook

  A type's expected life in years, from a value in years, months, weeks or days.

  years = months ÷ 12, weeks ÷ 52.1775, days ÷ 365.25; rounded to 0.1

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Warranty end date from its duration

  The day a warranty ends, when the workbook gives only its start and its length in years.

  end = start + round(years × 12) months

  COBie export: sizes, areas and durations assets-bim-cobie.js

  • BimCraft
  64-bit

• Service life read from the file

  The service life shown in the asset form, in years.

  years = seconds ÷ 31557600, or Y + M ÷ 12; rounded to 0.1

  Asset service life and maintenance due dates assets-bim.js

  • BimCraft
  64-bit

• Service life written to the file

  The service life as the IFC property holds it.

  IFC2x3: seconds = round(years × 31557600); IFC4: 'P' + years + 'Y'

  Asset service life and maintenance due dates assets-bim.js

  • BimCraft
  64-bit

• Day number of a date

  A calendar date as a count of days since 1970-01-01.

  day = round(ms at 00:00 UTC ÷ 86400000)

  Asset service life and maintenance due dates assets-bim.js

  • BimCraft
  Exact

• Overdue or due soon

  Whether an asset's next maintenance date has passed or falls within 30 days.

  d = day(next due) − day(today); overdue if d < 0; soon if d ≤ 30

  Asset service life and maintenance due dates assets-bim.js

  • BimCraft
  Exact

• Reading text as a number

  A cell of a sensor file as a value.

  Sensor readings: values, times and limits assets-bim-sensors.js

  • BimCraft
  64-bit

• Time text as milliseconds

  The time of a reading, from Unix time or a written date and time.

  Unix seconds × 1000; with a zone: UTC ms − sign × (hh × 60 + mm) × 60000

  Sensor readings: values, times and limits assets-bim-sensors.js

  • BimCraft
  64-bit

• High or low against the limits

  Whether a reading is above the asset's high limit or below its low limit.

  high if v > high; low if v < low

  Sensor readings: values, times and limits assets-bim-sensors.js

  • BimCraft
  64-bit

• Room floors and opening sills for flooding

  Each room's floor height above the lowest level and each opening's sill height, in meters.

  floor = (elevation − lowest elevation) ÷ 1000; sill = max(0, sill) ÷ 1000

  Building data for flood, wind and earthquake checks hazard-model.js

  • BimCraft
  64-bit

• Storey height, area, width and mass

  The storey data the wind and earthquake checks use, from the model's levels and outlines.

  area = Σ |outline area| ÷ 1e6; h = (next elevation − elevation) ÷ 1000; z = (elevation − datum) ÷ 1000 + h ÷ 2; mass = area × mass per m²; T1 = 0.1 × storeys when not given

  Building data for flood, wind and earthquake checks hazard-model.js

  • BimCraft
  64-bit

• Storey data from the analysis frame

  The same storey data when the stiffness comes from the structural frame instead of a typed period.

  z = (floor z − base) ÷ 1000 − h ÷ 2; width = extent of the nodes within 150 mm of the floor

  Building data for flood, wind and earthquake checks hazard-model.js

  • BimCraft
  64-bit

• Millimeters per unit of one IFC unit

  The size in millimeters of an SI or conversion-based length unit.

  mm per unit = prefix table value, or conversion factor × mm of the base unit

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• Length unit of the file

  The millimeters per length unit of the open file, from its project units.

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• Product of two 4 × 4 matrices

  Two placements combined into one.

  (A·B)ᵣ꜀ = Σₖ Aᵣₖ × Bₖ꜀

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• A point moved by a matrix

  A point in one frame as a point in another.

  p′ = M · (x, y, z, 1)

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• Inverse of a 4 × 4 matrix

  The matrix that undoes a placement.

  M⁻¹ = adj(M) ÷ det(M)

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• Where a federated model goes

  The matrix that puts a second model in the first model's coordinates, moved by an offset.

  M = T(offset) · C_ref · C⁻¹

  IFC length unit and placement matrices ifc-util.js

  • BimCraft
  64-bit

• Placed point in millimeters

  A point of an element's own frame in the file's coordinates, in millimeters.

  p = (M · (x, y, z, 1)) × unitMm

  Field layout points from the model layout-bim.js

  • BimCraft
  64-bit

• Wall axis ends

  The two ends of a wall's axis as field points.

  Field layout points from the model layout-bim.js

  • BimCraft
  64-bit

• Points in the unit and coordinates asked

  The field points in meters, millimeters or feet, in model or survey coordinates.

  k = 1 ÷ (mm per unit); model: x × k; survey: E × 1000 × k

  Field layout points from the model layout-bim.js

  • BimCraft
  64-bit

• Material a set of cuts needs

  The bar length a group of cuts takes, with trim and saw kerf.

  need = trim + Σ lengths + kerf × cuts

  Cut-list nesting of bars nest.js

  • BimCraft
  • DetailCraft
  64-bit

• Nesting pieces on stock bars

  Which pieces are cut from which bar, each bar's drop, and the bought, used and waste totals.

  length = round(length × 10) ÷ 10; fits if need ≤ stock + kerf; drop = stock − trim − used − kerf × cuts; waste = 1 − used ÷ bought

  Cut-list nesting of bars nest.js

  • BimCraft
  • DetailCraft
  64-bit

• Cut list tables

  The summary per profile and the list of bars as printed.

  m = mm ÷ 1000, 2 decimals; waste % = waste × 100, 1 decimal

  Cut-list nesting of bars nest.js

  • BimCraft
  • DetailCraft
  64-bit

• Module voltage at a temperature

  The open-circuit voltage of a module at a cell temperature.

  V(T) = V × (1 + β × (T − 25))

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  64-bit

• Longest and shortest string

  The most and the fewest modules a string may have.

  nMax = min(⌊V_limit ÷ (Voc,cold × f) + 1e-9⌋, ⌊MPPT max ÷ Vmp,cold + 1e-9⌋); nMin = ⌈MPPT min ÷ Vmp,hot − 1e-9⌉

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  64-bit

• String length and number of strings

  The string length inside the window that leaves the fewest modules over.

  count = ⌊modules ÷ n⌋; left = modules − count × n

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  Exact

• String voltage checks

  The string's cold and hot voltages against the inverter's and the system's limits.

  V_string = round(n × round(V_module, 2 decimals), 2 decimals)

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  64-bit

• Strings per inverter input

  How many strings one input can carry by its current limits, and how many inputs are needed.

  per input = min(⌊I_dc max ÷ Imp + 1e-9⌋, ⌊I_sc max ÷ Isc + 1e-9⌋); inputs needed = ⌈count ÷ per input⌉

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  64-bit

• DC to AC ratio

  The array's peak power against the inverter's AC rating.

  kWp = n × count × Wp ÷ 1000; DC ÷ AC = kWp ÷ (P_ac × inverters)

  Solar string sizing pv-string.js

  • BimCraft
  • CivilCraft
  64-bit

• Stair parameters

  The sizes and counts the stair family is made with.

  Width, Height, Gap = round(v × 100) ÷ 100; Tread, Rise = round(v × 1e4) ÷ 1e4; Rise = Height ÷ Steps

  Stair family from a sketch stair-family.js

  • BimCraft
  64-bit

• Where the stair family is placed

  The insertion point and rotation that put the family on the sketch.

  rot = ((angle mod 360) + 360) mod 360

  Stair family from a sketch stair-family.js

  • BimCraft
  64-bit

• Tag values of an element

  An element's tags as their kinds keep them, lengths in millimeters.

  length in mm = round(value × unitMm × 1e6) ÷ 1e6

  Length tags and tag schedules tags.js

  • BimCraft
  64-bit

• Tag value written to the file

  A tag as the IFC property that holds it.

  stored length = round(u(value) × 1e6) ÷ 1e6

  Length tags and tag schedules tags.js

  • BimCraft
  64-bit

• Schedule rows and groups

  The rows of a tag schedule and the groups they fall in.

  length column = round(value × unitMm × 1e6) ÷ 1e6

  Length tags and tag schedules tags.js

  • BimCraft
  64-bit

• Sizes a spec allows

  The pipe sizes between the spec's smallest and largest.

  min − 1e-9 ≤ nominal ≤ max + 1e-9

  Pipe spec rules addons/plant/lib/spec.js

  • BimCraft
  64-bit

• How a branch is made

  Whether a branch on a header is a tee, a reducing tee or a stub-in.

  ratio = branch ÷ header; rule = first with ratio ≤ limit + 1e-9

  Pipe spec rules addons/plant/lib/spec.js

  • BimCraft
  64-bit

• Bend radius of a spec

  The center-line radius of the spec's elbows for a size, in inches.

  short: max(nominal size, outside diameter); long: the table's radius

  Pipe spec rules addons/plant/lib/spec.js

  • BimCraft
  64-bit

• Starter door sizes

  Width and height of each starter door type in millimeters.

  width = inches × 25.4

  Starter door and window sizes opening-types.js

  • BimCraft
  64-bit

• Starter window sizes

  Width, height and sill height of each starter window type in millimeters.

  size = inches × 25.4

  Starter door and window sizes opening-types.js

  • BimCraft
  64-bit

• Reading time of a line

  How long a spoken line takes, for placing the next one.

  max(2, round(words ÷ 2.5, 1 decimal))

  Narration cue times narration.js

  • BimCraft
  64-bit

• Cue times from a script

  The start time of each cue from a typed script, and the squeeze when the speech is longer than the walk.

  t = round(min × 60 + s, 1 decimal); squeezed t = round(t × duration ÷ end, 1 decimal)

  Narration cue times narration.js

  • BimCraft
  64-bit

• Subtitle timestamp

  A cue time as an SRT or WebVTT timestamp.

  ms = round(s × 1000); h, m, s, ms by integer division

  Narration cue times narration.js

  • BimCraft
  64-bit

• Stored size, roughness and bump

  The numbers saved with a photo material.

  x = round(clamp(x) × 100) ÷ 100

  Photo material settings photo-materials.js

  • BimCraft
  64-bit