Staircase | Handrail | Steps | Spiral Staircase
Steps of a Spiral Staircase: Calculate Angle
A simple calculator for the angle of the steps of a spiral staircase with a given amount of steps and rotation. The rotation of a spiral staircase tells, how often you make a full turn when going through the whole staircase. Often, it is a multiple of a half (0.5). If the rotation is an integer, then the direction you look at is the same on bottom and on top. If this number ends on point five, the direction you look at is the opposite. Staircase angle is the number of rotations times 360 degrees. The step angle tells, how many degrees a step is offset from another step below or above.
The levels on each floor doesn't count as steps. Please enter the number of rotations or the angle of the spiral staircase, as well as the number of steps. The step angle will be calculated.
The formula for the step angle is
Example: the spiral staircase in the image below has half a rotation, so the angle is 180 degrees. At 10 steps (the one on top doesn't count, because it is at floor level), the step angle is 15 degrees.
The largest spiral staircase in the world is the staircase on the 52-meter-high minaret tower (Al-Minaret al-Malwiya) of the Great Mosque of Samarra in Iraq. It is about 48 meters high and has around 400 steps. This spiral staircase runs around the outside of the tower in a helix shape and circles it four times. Its step angle is about 3.6 degrees.
This spiral tower was built in 851 and is part of a historic mosque complex. It served both religious purposes and as a viewing point. It has been a UNESCO World Heritage Site since 2007.
The spiral staircase from the top platform of Ulm Minster to the tip is about 18 meters high, has about 70 steps and makes two full turns. This makes it very steep with a step angle of 10 degrees.
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German: Maße einer Treppe berechnen | Italiano: Calcolatore scala
See also Slope Calculator, Roof Calculator