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Calculate the Measurements of a Staircase

Calculator for the measurements, number of steps, step size, slope ratio and angle of slope of a straight staircase (or ladder). The angle is in degrees, the slope ratio is a number, all the other values are in cm. Here you can convert length units. Please enter one of these combinations* of values:

a)

- height of the staircase or of one step - depth of the staircase or of one step - the number of steps

b)

- length, height or depth of the staircase - number, height or depth of one step - slope ratio

Length of the staircase L: Height of the staircase H: Depth of the staircase D: Number of steps n: Height of one step h: Depth of one step d: Slope ratio S: 1 : Angle of slope α:

Step length: d+2h, good between 60 and 65 cm

Safety: d+h, good between 45 and 47 cm and 26 ≤ d ≤ 32, 14 ≤ h ≤ 20

Comfort: d-h, ideal at 12 cm

Formulas: H=h*n T=t*n L=√ H² + T² S = 1 : T/H α = arccos( (T² + L² - H²) / (2TL) ) Up to 20 °: perron 20 - 30 °: public staircase 30 - 40 °: indoor staircase 40 - 45 °: basement stairs 45 - 75 °: steep stairs Above 75 °: ladder * allowed combinations: (H, D, n), (h, d, n), (H, d, n), (h, D, n), (L, n, S), (L, h, S), (L, d, S), (H, n, S), (H, h, S), (H, d, S), (D, n, S), (D, h, S), (D, d, S)

Sketch of the calculated staircase:

At 50 or less steps and a slope ratio between 0.5 and 2, a sketch of the staircase will be drawn.

© Jumk.de Webprojects | Online Calculators | German: Maße einer Treppe berechnen | Italiano: Calcolatore scala

See also Slope Calculator, Roof Calculator