Pythagorean Theorem Roof Framing

Then add the length of the rafter tail.

Pythagorean theorem roof framing.

Roof framing is the last major framing activity in the construction of a house. Apr 9 2015 the pythagorean theorem makes carpentry work so much easier when it is used for squaring walls foundations and roof framing. The pythagorean theorem is used extensively in designing and building structures especially roofs. The height of the roof above the ceiling is 13 5 ft and the roof is 36 ft across as shown in the figure.

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. Pythagorean formula c 2 a 2 b 2 where a b are the legs of a right triangle and c is the hypotenuse. Pitch whether using roof trusses or stick building the roof the pitch of the roof must be selected. Geometry section 17 1 planning a roof 467.

Starting hint use the pythagorean theorem to fi gure the length of the rafter from the ridge board to the top plate. Gable roofs for example are made by placing two right triangles together. Specialized terms help to explain the triangle relationships in roof construction. I haven t used the pythagorean theorem since the 1970 s as a apprentice carpenter to calculate rafter lengths.

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. Use the pythagorean theorem to calculate the rafter length.