Tensor Beam Roof

The image below shows a cross section of our simple 12 x 13 house from the joist span tables section of this tutorial.

Tensor beam roof.

Use the span tables below to determine allowable lengths of joists and rafters based on size and standard design loads. A tie in building construction is an element in tension rather than compression and most collar beams are designed to work in. Total load in pounds fbd 2 9l. A timber frame truss roof with ridge beam purlins and common rafters is a stunning combination that creates visual interest and structural complexity.

A basic knowledge of vectors matrices and physics is assumed. This coil converts ordinary radio frequency energy into a tensor beam. There is a hierarchy of timber framing at work here with trusses supporting the ridge and purlin beams. Step 5 fill in the parts of the formula that are already known.

Continuing on from part 3. Floor beam span tables of residential structural design we will now look at roof rafter and beam design. Scalars and vectors which are the simplest tensors dual vectors multilinear maps between. Step 4 write down the beam strength formula.

Here we have a wood framed gable roof. A collar beam or collar is a horizontal member between two rafters and is very common in domestic roof construction often a collar is structural but they may be used simply to frame a ceiling a collar beam is often called a collar tie but this is rarely correct. There is definitely an optimum frequency and a minimum power to generate the beam. It is intended to serve as a bridge from the point where most undergraduate students leave off in their studies of mathematics to the place where most texts on tensor analysis begin.

If our example roof has only one beam it must carry half of the total load or 4 000 pounds. In mathematics a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space objects that tensors may map between include vectors and scalars and even other tensors tensors can take several different forms for example. Let s consider a basic gable wood roof framing design. Now carefully remove the bracing and lower the porch roof on to the new beam images 3 and 4.

Homework assignment i found that it was easier to solve some of the problems using tensors in the coordinate basis but i was uncomfortable with it because i wasn t sure if i was allowed to use a formalism that had not been taught in class. You can also use the wood beam calculator from the american wood council website to determine maximum rafter and joist lengths. Bring trim board to desired width. It depends on the particular sample of ferrite and the selection of operating frequency and power.

Eventually i decided that if i wrote an appendix on tensors i would be allowed to use the formalism. Above these components is a rack of common rafters. Before putting the stronger beam in place jack up the porch roof 7 3 4 inches to make room for the new taller beam images 1 and 2. In the example the beam spans the 10 foot width of the roof.