Tensor Beam Roof

Step 5 cut wood used to wrap new beam.

Tensor beam roof.

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. 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. Above these components is a rack of common rafters. L stands for the span of the beam in feet.

Scalars and vectors which are the simplest tensors dual vectors multilinear maps between. There is a hierarchy of timber framing at work here with trusses supporting the ridge and purlin beams. If our example roof has only one beam it must carry half of the total load or 4 000 pounds. There is definitely an optimum frequency and a minimum power to generate the beam.

The image below shows a cross section of our simple 12 x 13 house from the joist span tables section of this tutorial. 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 basic knowledge of vectors matrices and physics is assumed. 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. Continuing on from part 3. Floor beam span tables of residential structural design we will now look at roof rafter and beam design.

Eventually i decided that if i wrote an appendix on tensors i would be allowed to use the formalism. Here we have a wood framed gable roof. Bring trim board to desired width. Step 4 write down the beam strength formula.

Let s consider a basic gable wood roof framing design. An attempt to record those early notions concerning tensors. In the example the beam spans the 10 foot width of the roof. This coil converts ordinary radio frequency energy into a tensor beam.

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. A timber frame truss roof with ridge beam purlins and common rafters is a stunning combination that creates visual interest and structural complexity. 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. You can also use the wood beam calculator from the american wood council website to determine maximum rafter and joist lengths.