The angle can be determined by the arc cosine. So if you take the square root of the sum of the side squares, you get the length of the diagonal you are looking for. According to Pythagoras the sum of the squares of the sides is equal to the square of the main side in a right triangle. Here vague memories of math lessons can help us. We now need to know how big this rotated box must be and at what angle it must be tilted (Figure 3.
: We are looking for the diagonal and the angle Having combined our four geometries this way we can now subtract a rotated box to create the desired taper of the stringers. Instead of the keyword difference, we now use the keyword union. */ module shelf_bracket( side_a, side_b, width, thickness ) ). thickness refers to the material thickness of the bracket width refers to the width of the bracket That’s a lot of parameters! To keep our parameter list short, we can combine the values of each side (length, hole diameter, number of holes) into a three-dimensional vector: In addition, our bracket will have a width and we need to know what material thickness the bracket should have. We want to be able to change the length of each side, as well as the size and number of holes. To start, let’s create an empty module shelf_bracket and think about what parameters we need.
Last but not least, we will look at the projection function as we use it to create drilling templates for our shelf bracket. In addition, we will use a few mathematical functions (root, power and arc cosine) from OpenSCAD and learn more about modules. We will learn about union as a new Boolean operation. Both the lengths of the two sides and the size and number of the holes will be freely adjustable.
In this project we construct a shelf bracket.
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