For a hip roof with a slope of 5:12 and an overhang of 600 mm, what will be the length of the hip rafter?

To determine the length of the hip rafter for a hip roof with a slope of 5:12 and an overhang of 600 mm, it is essential to apply the principles of trigonometry and geometry relevant to roofing.

The slope ratio of 5:12 indicates that for every 12 horizontal units, there is a vertical rise of 5 units. First, we can calculate the effective height of the hip rafter based on the span it covers. The total rafter length will include both the vertical rise to the peak and the horizontal run to the point where the rafter meets the wall.

To find the hip rafter's total length, we utilize the Pythagorean theorem since a hip rafter forms a right triangle with the vertical rise and the horizontal horizontal run. The effective length is calculated by determining the square root of the sum of the squares of the vertical rise and horizontal run.

Additionally, the overhang must be incorporated into this calculation, as it affects the overall length. After calculating both parts—the length accounting for the rafter from the peak to where it meets the wall and the added overhang of 600 mm—one arrives at a total length of 3,498 mm.

This approach emphasizes accurate