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. The pythagorean theorem is used extensively in designing and building structures especially roofs. Geometry section 17 1 planning a roof 467. 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.

Specialized terms help to explain the triangle relationships in roof construction. Example of length by calculation determine the total length of a common rafter for a building with a span of 12 ft. Gable roofs for example are made by placing two right triangles together. Then add the length of the rafter tail.

I haven t used the pythagorean theorem since the 1970 s as a apprentice carpenter to calculate rafter lengths. A2 x b2 c2 your rafter length 14400 20736 35136 the square root of which 187 446 your rafter length in inches step 2 lay out your rafter. The height of the roof above the ceiling is 13 5 ft and the roof is 36 ft across as shown in the figure. Starting hint use the pythagorean theorem to fi gure the length of the rafter from the ridge board to the top plate.

Roof framing is the last major framing activity in the construction of a house. Stick built rafter steps.