When building a staircase you need to be concerned with the height of the riser and the depth of the Trent so people can go up and down the stairs comfortably one roll of them used to determine proper arise and thread depth and the sum of the tread depth in inches

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When building a staircase, it is important to consider the height of the riser and the depth of the tread. These measurements ensure that people can go up and down the stairs comfortably and safely.

To determine the proper height of the riser and the depth of the tread, you can follow specific guidelines and formulas. Building codes and regulations often provide these guidelines, which are based on safety standards and good design principles. Here is a common approach to calculate the rise and tread depth for a staircase:

1. Determine the Total Rise: Measure the vertical distance between the lower and upper floors where the staircase will be installed. This is known as the total rise. For example, if the height between floors is 10 feet (120 inches), the total rise would be 120 inches.

2. Determine the Ideal Riser Height: The riser height is the vertical distance between consecutive treads. Riser height is typically kept consistent throughout the stair construction to ensure uniformity and minimize tripping hazards. The ideal riser height depends on local building codes, but a common guideline is to keep it between 7 to 7.75 inches.

3. Calculate the Number of Risers: Divide the total rise by the ideal riser height to determine the number of risers needed. Round the value up to the nearest whole number to ensure you have enough risers. For example, if the total rise is 120 inches and the ideal riser height is 7 inches, the number of risers would be 17.15. Round it up to 18 risers.

4. Calculate the Ideal Tread Depth: The tread depth is the horizontal distance from the front edge of one step to the front edge of the next step. It should be deep enough to accommodate a person's foot comfortably while providing a stable stepping surface. The ideal tread depth is typically between 10 to 11.25 inches.

5. Calculate the Total Tread Depth: Multiply the number of risers by the ideal tread depth. This will give you the total tread depth required to span the staircase. For example, if you have 18 risers and the ideal tread depth is 11 inches, the total tread depth would be 198 inches.

It is important to note that these calculations provide a starting point, and you should always check your local building codes to ensure compliance and adjust the measurements as necessary for safety and comfort. Consulting with a professional architect, engineer, or contractor is also recommended to ensure the staircase meets all necessary requirements.