- Kari kolehmainen Samaa tarkoittava suhdelaskenta

# Stairs; Vertical Rise and Horizontal Thread

## Portaiden nousu ja etenemä

The starting point of the calculation is known information or data, in which case the unknown can be found out. When staircase angle is 10 degrees; the vertical rise of step is 100 mm, the known value.

Without EP-Calculation, other values ​​in the table cannot be specified. This means that.EP-calculation has an ability to such kind, the other calculations can not.

Rise in vertical direction

The coefficient associated with the Pascal triangle is 1.1. In the case of EP-Calculation, the coefficient is between 1.1 and 1.12, with the chosen average often being 1.11. The Pascal triangle is a kind of step pyramid with a factor of 1.1 (1). The coefficient 1.1 (1) is related to the distance, such as the rise of the stairs. Expressed in this by mm unit.

## Degrees         mm            Calculation

8                    90             100 / 1,11 = 90        Steps for walking

10                  100                                            Known value

12,5                 11             1,11 x 100 = 111    Steps for climbing

16                  123             1,11 x 111 = 123

20                  138             1,11 x 123 = 138

25                  150             1,11 x 138 = 152

35                  170             1,11 x 152 = 169

40                  180             1,11 x 169 = 187

50                  200             1,11 x 187 = 208

63                  230             1,11 x 208 = 230

75                  250                      -

80                                     1,11 x 230 = 256

Pascal's Triangle gives the possibility to define the rise of steps to staircases between angles from 10 to 80 degrees. The known value is step rise 100 mm when staircase angle 10 degrees. When the angle 5 degrees, gets the raise by the Golden Ratio 1.618. 100 mm / 1.618 = 62 mm. The calculated values have mm accuracy and when 80 degrees, we are exactly there the chart is. originally the rise of the steps has been defined experimentally. If the curve in the chart has some difference to calculation, we can say the curve wrong designed.

Several standards can be replaced by a value and an associated coefficient. In strength calculation, diagrams (not just one curve as in the figure) are replaced with row data, so that all curves are known. Also those curves that are not defined.

17.4.2015*08:40 (110 - 1065)
www.karikolehmainen.com
epcalculation@gmail.com