Pythagorean Theorem Roof Framing

Starting hint use the pythagorean theorem to fi gure the length of the rafter from the ridge board to the top plate.

Pythagorean theorem roof framing.

Roof framing is the last major framing activity in the construction of a house. Gable roofs for example are made by placing two right triangles together. Example of length by calculation determine the total length of a common rafter for a building with a span of 12 ft. Apr 9 2015 the pythagorean theorem makes carpentry work so much easier when it is used for squaring walls foundations and roof framing.

I haven t used the pythagorean theorem since the 1970 s as a apprentice carpenter to calculate rafter lengths. Pitch whether using roof trusses or stick building the roof the pitch of the roof must be selected. Pythagorean formula c 2 a 2 b 2 where a b are the legs of a right triangle and c is the hypotenuse. The pythagorean theorem is used extensively in designing and building structures especially roofs.

Use the pythagorean theorem to calculate the rafter length. 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. Geometry section 17 1 planning a roof 467. Stick built rafter steps.

Specialized terms help to explain the triangle relationships in roof construction. The height of the roof above the ceiling is 13 5 ft and the roof is 36 ft across as shown in the figure.