Why learn the technical side of roof framing and the mathematics behind its geometry?
Because knowing methods like this unlocks a deeper understanding of how more advanced roofs are marked out cut and built. The lines on a drawing provide the visual framework, while geometry reveals how angles, shapes, and lengths interact in both 2D and 3D space.
Geometry is the foundation-it develops the ability to think visually, interpret complex forms, and solve problems. Mathematics then complements this understanding by linking the two with speed, precision and accuracy.
Then there's another plus, the practical, hands-on methods. Merging practical experience and skills with sound technical knowledge gives the carpenter a powerful edge. It sharpens craftsmanship, builds confidence, and enhances problem-solving abilities.
Understanding these methods and practicing them is what separates an average roof framer, carpenter from someone who has limited knowledge and skills to someone who would have advanced knowledge and skills and is a personal statement of passion and dedication within the craft.
During online lessons the information will be transferred in step by step instructions that will cover the in-depth details that form the roof framework. First of all you gain the knowledge from proven methods along with many other practical tips for bringing it all together in practice by using your skills to build each model.
These course models range from basic to advanced and cover an introduction in how to read the working drawings and the geometry involved for building these models. This can include the mathematical calculations for the lengths and angles that are used to build these Roof structures in their scaled down form, and when it’s full scale on site its much of the same process.
Just to give you an idea of how this can work, the online sessions will mainly be focused on how to go about doing this and to give you the best chance of grasping the lesson with minimal time spent online, most of the time the camera would be in the downward position for you to observe what's going on and in helping you to follow the lesson with the least amount of distraction. During each lesson any questions that you have will also be addressed and I will do my best to answer them as we proceed. I can only recommend that you build the roof model when you are ready, as this is one of the best ways to test your learning by bringing it all together in practice.
This is all geared towards practicing knowledge and improving skills, don't be put off by the fact that these are scaled models, these models can be key learning! Its the old proven recipe in this case, of learning the theory behind the drawings and geometry, before moving on to apply math calculations by using some basic trigonometry to find the lengths and angles of the different rafters within roof framework, before bringing it all together in practice.
Just a few more points
In my experience I've found that some people tend to shy away from geometry and trigonometry but other people can be surprised at how quickly they begin to adapt and relate to using methods like this. Just to let me remind you, I'm going to pass this on to you as a carpenter by looking at the drawings, and in using some basic trig calculations to find the rafter lengths and angles.
Why use trigonometry to calculate rafter lengths and angles as opposed to apps and tables etc! First of using apps and tables will only take you so far and using tables for ready reckoner books will only work for Regular pitched roofs. Trigonometry is also a universal method for calculating angles and lengths, it is used in building and construction by engineers, surveyors and architects etc and becoming more familiar with using it can lead to career extension and job promotion. If you haven’t used trigonometry before, it’s just a matter of becoming familiar with using one or 2 formulas, in this case to calculate rafters before moving on to the next step in calculating other dimensions and angles that can lead on to further understanding and calculating of other more challenging roofs.
The drawing out the details may not be for everyone but understanding them can play an important part in helping us to visualise or in building a kind of map in our minds as to what these lines represent. When we look at the drawing for these models and can also check the lengths and angles with some calculations it plays another important part in building our trust and confidence in the process and in reassuring ourselves that things are working out well. Then when we become more familiar with doing calculations for some of these steps we can get by with the minimum of drawings.