Calculations

Calculations

• Field values at the picked node or element

  The value of each shown field at the picked node or element.

  Script workspace: the part handed to scripts and picked values ws-script.js

  • PartCraft
  64-bit

• Deformed shape for drawing

  The drawn position of each surface corner when a displacement field deforms the shape.

  drawn position = position + scale × displacement

  Script workspace: the part handed to scripts and picked values ws-script.js

  • PartCraft
  32-bit, display only

• Element size of a live analysis level

  The element size the coarse and refined live solves use.

  h = base size × level factor

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  64-bit

• Mode shape magnitude

  The size of the mode shape's displacement at each plot vertex.

  |u| = √(u_x² + u_y² + u_z²)

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  32-bit in part

• Safety factor plot values

  The safety factor at each plot vertex, for coloring.

  safety = min(yield ÷ stress, 100)

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  32-bit, display only

• Legend range

  The least and largest value of a plotted result, for the legend.

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  64-bit

• Result under the pointer

  The stress, displacement, strain and safety factor at the point under the pointer.

  value = w₀v₀ + w₁v₁ + w₂v₂; safety = yield ÷ stress

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  32-bit in part

• Barycentric weights

  The three weights of a point inside a triangle.

  w₁ = (d₁₁d₂₀ − d₀₁d₂₁) ÷ (d₀₀d₁₁ − d₀₁²); w₂ = (d₀₀d₂₁ − d₀₁d₂₀) ÷ (d₀₀d₁₁ − d₀₁²); w₀ = 1 − w₁ − w₂

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  64-bit

• Deformed plot positions

  The drawn position of each plot vertex when the deformed shape is shown.

  drawn position = position + scale × displacement

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  32-bit, display only

• Automatic deformation scale

  The factor the displacements are multiplied by so the deformed shape can be seen.

  raw = 0.08 × box diagonal ÷ largest |u|, rounded up to 1, 2, 5 or 10 × 10ᵉ

  Simulation workspace: plot values and the hover probe ws-simulation.js

  • PartCraft
  32-bit, display only

• Rounding to 3 decimals

  Rounds a number to a multiple of 0.001 before it is stored.

  round(v × 1000) ÷ 1000

  Add-on display bodies: stored coordinates and placement addons/addon-bodies.js

  • PartCraft
  64-bit

• Body coordinates as stored

  The box corners or mesh positions, offset and turn of one body as they go into the part file.

  Add-on display bodies: stored coordinates and placement addons/addon-bodies.js

  • PartCraft
  64-bit

• Body placed in the world

  Turns a body's points about the Y axis and moves them by its offset.

  x′ = x cos a + z sin a + t_x; y′ = y + t_y; z′ = −x sin a + z cos a + t_z; a = rotY × π ÷ 180

  Add-on display bodies: stored coordinates and placement addons/addon-bodies.js

  • PartCraft
  64-bit

• Box of all add-on bodies

  The least and largest coordinates of every placed add-on body.

  Add-on display bodies: stored coordinates and placement addons/addon-bodies.js

  • PartCraft
  64-bit

• Rounding for the panel

  Rounds a result to a few significant digits before the panel words it.

  Advanced simulation add-on: result summary and color bands addons/advanced-sim/lib/results.js

  • PartCraft
  64-bit

• Summary rows

  The load reached, largest displacement and stress, plastic strain, contact force and penetration of a result.

  load = √(F_x² + F_y² + F_z²) × λ; penetration % = 100 × penetration ÷ h

  Advanced simulation add-on: result summary and color bands addons/advanced-sim/lib/results.js

  • PartCraft
  64-bit

• Color bands and legend

  Splits the plot mesh into bands of equal value range and gives each band's limits.

  band = floor((v − lo) ÷ (hi − lo) × n), clamped to 0 … n − 1; limits: lo + (hi − lo) × i ÷ n

  Advanced simulation add-on: result summary and color bands addons/advanced-sim/lib/results.js

  • PartCraft
  64-bit

• A flat face's box in its own plane

  The extent of a flat face along two axes lying in its plane.

  u = (n × t) ÷ |n × t|; v = n × u; box = least and largest p·u and p·v over the face's triangle corners

  Advanced simulation add-on: finding contact pairs addons/advanced-sim/lib/setup.js

  • PartCraft
  32-bit in part

• Facing faces within a gap

  The pairs of flat faces that face each other, with their gap and overlap.

  n·m ≤ −cos 0.5°; d = (o_B − o_A)·n with −1e-6 ≤ d ≤ gap; overlap = w × h

  Advanced simulation add-on: finding contact pairs addons/advanced-sim/lib/setup.js

  • PartCraft
  64-bit

• Triangle areas and centroids

  The area and center of each mesh triangle.

  area = |(b − a) × (c − a)| ÷ 2; centroid = (a + b + c) ÷ 3 × 1000

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  64-bit

• Area, mean and peak flux density of each body

  Each body's area in mm², its area-weighted mean |B| and its largest |B|.

  mean B = Σ(Bₑ × areaₑ) ÷ Σ areaₑ

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• Result against a hand formula

  The value the result gives where a template's hand formula applies, and its relative difference.

  got = Σ(v × w) ÷ Σ w; diff = got ÷ want − 1

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• Flux lines

  Contour segments of the vector potential A, and the flux between neighboring lines.

  levelᵢ = lo + ΔA × (i + 1), ΔA = (hi − lo) ÷ (k + 1); t = (L − aᵢ) ÷ (aⱼ − aᵢ)

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• Top of the color scale

  The |B| that the top color stands for.

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit, display only

• Number format of the exports

  How a number is written into the CSV and VTK files.

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  64-bit

• Field table (CSV)

  One row per triangle: center, region, area and B.

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• VTK file

  The mesh in mm with B per triangle and A per node.

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• Summary table (CSV)

  Peak B, each body's area, mean and peak B, forces, torque and the hand-formula check.

  Magnetics add-on: field readout, flux lines and exports addons/magnetics/lib/results.js

  • PartCraft
  32-bit in part

• Permeability of free space

  The constant μ0 used in every hand formula.

  μ0 = 4 × 10⁻⁷ × π

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Round conductor as a polygon

  The corners of the polygon that stands for a round wire.

  pᵢ = (cx + r cos(2πi ÷ n), cy + r sin(2πi ÷ n)), n = 48

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• C-core gap field

  The flux density in the air gap of a C-core electromagnet by the magnetic circuit formula.

  B = μ0 × NI ÷ ((g + l ÷ μr) × 10⁻³), l = 2(w − tk) + 2(h − tk) − g

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Magnet in a closed iron frame

  The flux density in a permanent magnet set in one leg of a closed frame.

  B = Br × (lm ÷ μrm) ÷ (lm ÷ μrm + L ÷ μr), L = 2(w − tk) + 2(h − tk) − lm

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Field round one wire

  The flux density at two radii from the center of a round conductor.

  B = μ0 × I ÷ (2π × r × 10⁻³), r = 2a

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Force between two wires

  The force per meter between two parallel conductors.

  F = μ0 × |I₁ × I₂| ÷ (2π × d × 10⁻³)

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Template sizes within their ranges

  Clamps each size a person types to the template's allowed range.

  Magnetics add-on: template shapes and hand formulas addons/magnetics/lib/templates.js

  • PartCraft
  64-bit

• Frame of the study's plane

  The origin and axes of the plane the result is drawn in.

  x = (helper × n) ÷ |helper × n|; y = n × x

  Magnetics add-on: the result drawn as display bodies addons/magnetics/lib/bodies.js

  • PartCraft
  32-bit, display only

• Triangle cut to the crop rectangle

  Cuts a field triangle to the rectangle that is shown.

  Magnetics add-on: the result drawn as display bodies addons/magnetics/lib/bodies.js

  • PartCraft
  32-bit, display only

• Field color bands

  The color band each triangle falls in.

  band = min(9, floor(|B| ÷ top × 10))

  Magnetics add-on: the result drawn as display bodies addons/magnetics/lib/bodies.js

  • PartCraft
  32-bit, display only

• Defining constants

  The pound, standard gravity, inch and foot, and the pound-force, gallon and British thermal unit built from them.

  lbf = 0.45359237 × 9.80665; gal = 231 × 0.0254³; BTU = 1055.05585262 J

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  Exact

• Unit table

  Each unit's factor to SI and its dimension.

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  Exact

• SI prefixes

  A prefixed unit such as kPa or mm from its base unit.

  factor = prefix × unit factor

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Combining units

  The factor and dimension of a product or quotient of two units.

  f = f_a × f_bᵉ; dimension = d_a + e × d_b

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Reading a unit text

  Turns a text such as W/(m^2 K) into one factor and one dimension.

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Value to SI

  A value in a given unit as its SI value.

  SI = v × f

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Value from SI

  An SI value in a given unit.

  v = SI ÷ f

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Unit to unit

  A value converted from one unit to another of the same kind.

  result = v × f_from ÷ f_to

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Temperature points

  Celsius and Fahrenheit readings to and from kelvin.

  K = °C + 273.15; K = (°F − 32) × 5 ÷ 9 + 273.15

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Power and logarithm used

  Which power and logarithm functions the curves are evaluated with.

  Material packs: property curves by temperature engineer/material-pack.js

  • PartCraft
  64-bit

• One curve segment

  The fitted curve's value at a temperature.

  y = 10^(Σ cᵢ Lⁱ), L = log10 T; or y = c₀ + T(c₁ + T(c₂ + T(c₃ + T c₄)))

  Material packs: property curves by temperature engineer/material-pack.js

  • PartCraft
  64-bit

• Property at a temperature

  The property value with its unit, range, fit error and source.

  value = curve(T) × scale

  Material packs: property curves by temperature engineer/material-pack.js

  • PartCraft
  64-bit