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What is the theoretical line length of the third gable and stud framed 406 mm (16") on centre from the corner on a roof with 2:3 (8:12) slope?

813 mm

1024 mm

To determine the theoretical line length of the third gable and stud framed at 406 mm (16") on center from the corner of a sloped roof with a 2:3 slope (8:12), it is crucial to understand how roof slopes work in relation to framing.

The slope ratio of 2:3 translates to a rise of 2 units of vertical height for every 3 units of horizontal distance. In terms of roof frame layout, this slope has implications on how far you will have to measure for the gable end framing.

First, calculate the run from the corner of the roof towards where the gable will intersect. Since the studs are spaced 406 mm apart on center, you will count the studs leading to this gable point. Depending on how many studs you have, this impacts the total length you are measuring.

When laying out the framing, you can visualize or calculate using the slope's relationship to establish how these measurements extend vertically into the roof construction. With each stud positioned at 406 mm (16"), the furthest point on the gable would be a product of moving in that distance through the slope and multiplying appropriately to find the total measure along that necessary sloped length.

By calculating and applying the

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1465 mm

2097 mm

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