stair calculation formula

These small rounding errors can have a great difference on the final answer! Thus, our deck staircase calculator can figure out the total horizontal distance between the edge of each step (not forgetting that the final step is the decking! Thus, we transform the above formulae to get the vertical rise spacing: $$Rise\,of\,steps = Total\,Rise – Tread\,Thickness = 120\,in – 2\,in = 118\,in$$. The estimator does the conversions for you using the following ratios: $$1\,foot = 12\,inches = 0.33\,yards = 30.48\,centimeters = 0.3048\,meters$$. There is a lot of information that can be found online. A minimum stair width of 1200mm is acceptable where the stair is between enclosing walls, strings or up stands. Step Height [F], is the height that you would like your steps to be. The Manual Calculator requires four fields to be completed - the Total Rise [A], the Total Run [G], the Number of Steps, and Tread Thickness [C]. The Target Moving through the article and explanation these formulae are rather abstract and complicated. Now, if we include tread thickness (the thickness of the tread on each step), we must subtract this as well. Related Topics . more information on cutting stringers and general stair building. Unlike the Automatic Calculator, you will notice that the Tread Depth [B] will vary on the Manual Stair Calculator because the Total Run [G] is a constant and the Tread Depth [B] is a variable. Before laying out your tools and getting started, you need to make sure each step will be identical in both size and shape. Keep following through the example below to see it in detail! If you have any questions, please Contact Us. Now, using a standard mount staircase, the vertical height rise of the steps will be one step less than with a flush mount because the final step is taken up by the decking. . Stringers run diagonally along the length of each stair to prevent them from collapsing. In a given run of stairs, the greatest tread depth should not exceed the smallest by more than 3/8 inch (9.5 mm). Simply put in values for the total run and rise, along with some measurements for the individual steps to calculate the layout of your staircase! We simply remember that the final step takes us onto the decking. Finally, the calculator combines the above calculated values to figure out the total stringer length of the steps: $$Stringer\,Length = C_3 + B_3 + (Number\,of\,Steps – 1) × (B_1 + C_2) = 9.33\,in + 2.72\,in + (16-1) × (3.8\,in + 9.32\,in) = 208.88\,in$$. Click The calculator works out all these distances using the method given below: $$A_1 = Rise × sin⁡\,\alpha_2 = 7.06\,in × sin\,57.46^o = 5.95\,in$$, $$A_2 = Stringer\,Width – A_1 = 12\,in – 5.95\,in = 6.05\,in$$, $$C_2 = \sqrt{Run^2 – {A_1}^2} = \sqrt{(11.06\,in)^2 – (5.95\,in)^2} = 9.32\,in$$, $$C_3 = A_1 × tan\,⁡\alpha_2 = 5.95\,in × tan\,57.46^o = 9.33\,in$$, $$B_1 = \sqrt{Rise^2 – {A_1}^2} = \sqrt{(7.06\,in)^2- (5.95\,in)^2} = 3.8\,in$$, $$B_2 = A_2 × tan⁡\,⁡\alpha_1 = 6.05\,in × tan⁡\,32.54^o = 3.86\,in$$, $$B_3 = (Rise -Tread\,Thickness) × cos⁡\,⁡\alpha_2 = (7.06\,in – 2\,in) × cos\,57.46^o = 2.72\,in$$, $$A_3 = (Rise – Tread⁡\,Thickness) × cos⁡⁡\,⁡\alpha_1 = (7.06⁡\,in – 2⁡\,in) × cos⁡⁡\,32.54^o = 4.26⁡\,in$$, $$A_4 = Stringer\,Width – A_3 = 12\,in – 4.27\,in = 7.74\,in$$, $$C_4 = A_4 × tan\,\alpha_2 = 7.74\,in × tan⁡\,57.46^o = 12.12\,in$$. First, we calculate the vertical height rise of each step: $$Rise = {Total\,Rise \over Number\,of\,Steps} = {120\,in \over 17} = 7.06\,in$$. We shall take you through the example calculations for first a standard mount, and then a flush mount set of stairs. Use the Manual Calculator if you know the Total Rise [A] and Total Run [G], and just need to determine the Number of Steps and Risers that will be required for your stairs. To simplify the process, we’ve created this deck stair calculator … The stringer length is the tip-to-tip length of the cut stringer. Method 1 : The walkine is located 50 cm (20") from the inner handrail or in the centre if the stair width is less than 1m (40"). Click here for O/A Run Length = Overall horizontal … The calculator first figures out the angles: $$\alpha_2 = 90^o – \alpha_1 = 90^o – 34.14^o = 55.86^o$$, $$\alpha_3 = 90^o + \alpha_2 = 90^o + 55.86^o = 145.86^o$$, $$\alpha_5 = 90^o + \alpha_1 = 90^o + 34.14^o = 124.14^o$$. myCarpentry Home. Miscellaneous - Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more; Related Documents . Since the Tread Depth [B] is a constant, when using the Automatic Stair Calculator, the Total Run [G] will vary when you toggle between the two mount options. Either, follow these calculations through, or simply use the calculator to get your DIY project off to a breeze! Note, that it is designed to work only on a mobile device. A construction calculator really comes in handy for this … The first time you enter a value in the Number of Steps field, it will likely be a guess. Warning! Total Rise [A] - The total rise of a set of stairs is the vertical distance between the bottom of the first step and the top of the finished landing. For convenience and flexibility, this stair stringer calculator comes in two forms, the

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