Pythagorean Theorem Roof Framing

Pitch whether using roof trusses or stick building the roof the pitch of the roof must be selected.

Pythagorean theorem roof framing.

Then add the length of the rafter tail. The pythagorean theorem is used extensively in designing and building structures especially roofs. Gable roofs for example are made by placing two right triangles together. Starting hint use the pythagorean theorem to fi gure the length of the rafter from the ridge board to the top plate.

Pythagorean formula c 2 a 2 b 2 where a b are the legs of a right triangle and c is the hypotenuse. The height of the roof above the ceiling is 13 5 ft and the roof is 36 ft across as shown in the figure. Example of length by calculation determine the total length of a common rafter for a building with a span of 12 ft. Roof framing is the last major framing activity in the construction of a house.

Geometry section 17 1 planning a roof 467. Roof framing is all about right triangles but the pythagorean theorem is not widely used in calculating the lengths of the roof framing members and calculators use trigonometric ratios to calculate the lengths of the right triangles not the pythagorean theorem. Stick built rafter steps. Specialized terms help to explain the triangle relationships in roof construction.

Apr 9 2015 the pythagorean theorem makes carpentry work so much easier when it is used for squaring walls foundations and roof framing. Align your framing square so the 10 mark and 12 mark meet the edge of your rafter stock.