Determining the length of the angled support board for steps, often called a stair stringer, involves mathematical calculation based on the rise (vertical height) and run (horizontal depth) of each step. This calculation utilizes the Pythagorean theorem, where the stringer length is the hypotenuse of a right triangle formed by the total rise and total run of the staircase. For example, if a staircase has a total rise of 60 inches and a total run of 80 inches, the stringer length is calculated as follows: ((60 inches) + (80 inches)), resulting in a stringer length of 100 inches. This measurement represents the linear distance along the angled support, not the sum of the individual step depths.
Accurate stringer length calculation is essential for ensuring the safety and structural integrity of a staircase. Precise measurements contribute to consistent step heights and depths, minimizing the risk of trips and falls. Historically, incorrect stringer calculations have led to unstable staircases requiring costly repairs. Proper planning and execution, informed by accurate length determination, are paramount to long-term stability and code compliance. The benefits of precise determination extend to aesthetic appeal; a well-constructed staircase enhances the overall design and value of a building.