Escalator dimensions calculator

Escalator horizontal run, incline length and overall length from rise, angle and end lengths, with angle, speed and step width checked against ASME A17.1/CSA B44 or EN 115-1.

Inputs

The escalator code the job is built to.
Vertical distance between the two finished floors. (in)
Angle of the step line from the horizontal. (°)
Nominal width of the steps. (in)
Speed along the incline. (ft/min)
Allowances (2)
Plan length from the top of the incline to the end of the truss. (in)
Plan length from the bottom of the incline to the end of the truss. (in)

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Result

Overall length in plan
495.9 in (41 ft 3.9 in)
Horizontal run of the incline
306.9 in (25 ft 6.9 in)
Length along the incline
354.4 in (29 ft 6.4 in)
Within the code limits checked
yes

Not engineering advice; a licensed professional checks every result. Not a substitute for a licensed engineer, the manufacturer's data or the authority having jurisdiction; confirm the code edition your jurisdiction has adopted. First build: the code limits used here await a trade check against a licensed copy of the cited edition. Terms of use and estimate disclaimer.

Drawing

Escalator side profileEscalator with a rise of 177.165354330709 in at 30 degrees, overall length 495.9 in (41 ft 3.9 in).30°rise 177.165354330709 inrun 306.9 inoverall 495.9 in (41 ft 3.9 in)
Side profile: lower end, incline and upper end.

Working

  1. Horizontal run of the inclined section
    Lh=Htan⁡αL_h = \dfrac{H}{\tan\alpha}
    L_h = 4500 ÷ tan 30° ≈ 7794.229 mm
    = 7795 mm (rounded up)
  2. Length along the incline
    Li=Hsin⁡αL_i = \dfrac{H}{\sin\alpha}
    L_i = 4500 ÷ sin 30° ≈ 9000 mm
    = 9000 mm (rounded up)
  3. Overall length in plan (incline plus both ends)
    L=Lh+Eu+ElL = L_h + E_u + E_l
    L = 7794.22863405995 + 2600 + 2200 ≈ 12594.229 mm
    = 12595 mm (rounded up)

Working is shown in the units each formula is written in; the result figures above follow the unit switch. A numeric input is taken to 15 significant digits before it is used (1033.2293579541322 kg is used as 1033.22935795413 kg); every echo of it shows that value, and a computed figure substituted into the working is quoted to 15 significant digits as well.

Code checks

  • PASS
    Angle at most 30°
    ASME A17.1-2019/CSA B44-19, 6.1.3.1. 30° at 4500 mm rise and 0.5 m/s
  • PASS
    Speed at most 100 ft/min at this angle
    ASME A17.1-2019/CSA B44-19, 6.1.4.1. 98.4251968503937 ft/min
  • PASS
    Step width from 22 in to 40 in
    ASME A17.1-2019/CSA B44-19, 6.1.3.5.2. 39.3700787401575 in

Notes

  • ASME A17.1-2019/CSA B44-19 prints each limit in both systems and the figures are not exact equivalents; the speed and width are checked against the US figures, which is the system you work in.
  • The end lengths cover the landing plates, the flat steps and the drive and return stations. They vary by maker, speed and rise: replace the defaults with the chosen manufacturer's figures.
  • Geometry is exact for the inclined section; overall width depends on the balustrade and is not computed here.
  • A17.1 6.1.3.1 limits the designed angle to 30 degrees and lets field conditions add up to 1 degree on site. This check reads the angle you enter as the designed angle.

Method

Geometry

An escalator's inclined section is a right triangle with the rise as its height. The horizontal run is the rise divided by the tangent of the angle, and the length along the incline is the rise divided by the sine. At 30 degrees the run is about 1.73 times the rise and the incline is exactly twice the rise.

The truss also extends past each end of the incline for the landing plate, the flat steps where passengers board and leave, and the drive or return station. Those end lengths depend on the maker, the rise and the speed, so they are inputs. The overall length in plan is the run plus both ends.

Code limits checked

ASME A17.1/CSA B44 keeps escalators to 30 degrees or less, a rated speed of 0.5 m/s (100 ft/min) or less and a step width from 560 mm (22 in) to 1020 mm (40 in). It prints each figure in both systems, and they are not exact equivalents, so the speed and width are checked against the figures printed in the unit system you work in. EN 115-1 also sets 30 degrees, but allows up to 35 degrees where the rise is 6 m or less and the speed is 0.5 m/s or less; its speed limit is 0.75 m/s at up to 30 degrees and 0.5 m/s above that, and its nominal width runs from 580 mm to 1100 mm.

Formulas

Horizontal run

L_h = H / tan(alpha)

Lh=Htan⁡αL_h = \dfrac{H}{\tan\alpha}

Incline length

L_i = H / sin(alpha)

Li=Hsin⁡αL_i = \dfrac{H}{\sin\alpha}

Overall length

L = L_h + upper end + lower end

L=Lh+Eu+ElL = L_h + E_u + E_l

Code basis: clause and edition

StandardEditionClauseWhat it covers
ASME A17.1/CSA B4420196.1.3.1, 6.1.3.5.2 and 6.1.4.1Escalator angle of inclination, step width and rated speed
EN 115-120175.2.2, 5.2.3 and 5.3.1Escalator inclination, nominal speed and nominal width

Rules are restated in our own words and computed for your inputs; no table or text from a standard is reproduced. The adopted edition varies by jurisdiction, so confirm the one your authority having jurisdiction enforces.

Inputs

InputUnitRangeDefault
Code standardchoiceasme, enasme
Rise risemillimetres (mm)1000 to 150004500
Angle of inclination angledegrees20 to 4030
Step width stepWidthmillimetres (mm)400 to 13001000
Rated speed speedmetres per second (m/s)0.2 to 10.5
Upper end length upperEndmillimetres (mm)1000 to 60002600
Lower end length lowerEndmillimetres (mm)1000 to 60002200
System the code limits are checked in unitschoicesi, ussi

Worked examples

Each example below is a test the calculator must pass before it ships. The expected values were worked out by a separate implementation.

ExampleExpected result (each in its declared unit)
4.5 m rise at 30 degrees, ASMEhorizontalRun: 7794.3 mm, inclineLength: 9000 mm, overallLength: 12594.3 mm, withinLimits: yes
5 m rise at 35 degrees, EN 115-1 (steep angle permitted)horizontalRun: 7140.8 mm, inclineLength: 8717.3 mm, overallLength: 11940.8 mm, withinLimits: yes
Same 35 degree escalator under ASME (angle fails)horizontalRun: 7140.8 mm, inclineLength: 8717.3 mm, overallLength: 11940.8 mm, withinLimits: no
ASME at its printed US limits, checked in US units: 100 ft/min and a 22 in stephorizontalRun: 7794.3 mm, inclineLength: 9000 mm, overallLength: 12594.3 mm, withinLimits: yes
The same escalator checked against the SI figures (0.5 m/s, 560 mm): outside the limitshorizontalRun: 7794.3 mm, inclineLength: 9000 mm, overallLength: 12594.3 mm, withinLimits: no
ASME at its printed SI limits, checked in SI: 0.5 m/s and a 560 mm stephorizontalRun: 7794.3 mm, inclineLength: 9000 mm, overallLength: 12594.3 mm, withinLimits: yes

For AI agents

This calculator is also the MCP tool escalator_dimensions at https://elevatorcalc.com/api/mcp, using the same function as this page. See how to connect, the llms.txt file, or the JSON catalogue.

Not engineering advice; a licensed professional checks every result. Not a substitute for a licensed engineer, the manufacturer's data or the authority having jurisdiction; confirm the code edition your jurisdiction has adopted. See the terms of use and estimate disclaimer.