Technical Drawing in Photonics Lesson 10 Sectioning solids. Interpenetration of solids. Dr. Zsolt István Benkő TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project”

x1,2 Lesson 10 Technical drawing in Photonics Sectioning of solids can be done multiple ways. It can be described: e.g. draw a cube with the upper front right tip cut at the half of the edges. It looks like this. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The clear drawing (the body only). Technical drawing in Photonics

sectioning (cutting) plane Lesson 10 x1,2 x1,2 sectioning (cutting) plane Or a sectioning plane can be used; usually a projecting plane. Like on this drawing. The sectioning plane is a line on the 2nd view. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The intersections with the edges of the pyramid should be transferred to the 1st view by organizer lines. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics Now the body can be drawn. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The clear drawing of a sectioned pyramid. Technical drawing in Photonics

Lesson 10 Technical drawing in Photonics

sectioning (cutting) plane Lesson 10 x1,2 x1,2 sectioning (cutting) plane Sectioning a cone. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The upper side will be an ellipse. By using organizer lines one dimension of the ellipse can be determined. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics Half of the (intersecting) line segment should be drawn. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The slant height line of the cone should be drawn through this bisecting point. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics By drawing the organizer line to the 1st view of the slant height line the other dimension of the ellipse can be achieved. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics Now the body can be drawn. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The clear drawing of a sectioned cone. Technical drawing in Photonics

Lesson 10 Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The interpenetration of two solids: an example. One is a cube. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The other is a pyramid; rotated by 45o. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The bodies are needed to be drawn as there would be no other one. They are interpenetrate each other. The newly developed edges are to be found. Also it is necessary to know what lines will vanish. (There are always new edges and there are usually vanishing lines.) Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics With these organizer lines the upper part can be determined – relying strongly on the existing symmetry. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics With these organizer lines and the horizontal line the lower parts can be determined – relying strongly on the existing symmetry. Technical drawing in Photonics

Lesson 10 x1,2 All the necessary lines. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics Outlining the unified body. Technical drawing in Photonics

Lesson 10 x1,2 The clear drawing. Technical drawing in Photonics

Lesson 10 Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics An other example: a cone and Technical drawing in Photonics

Lesson 10 x1,2 a square prism. Technical drawing in Photonics

Lesson 10 x1,2 Drawn together. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics A slant height line of the cone is needed to determine the penetration point. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics The new edge will be an arc. The horizontal delimiters now can be drawn. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics New slant height lines of the cone are needed to determine the arc better. Technical drawing in Photonics

Lesson 10 x1,2 The arc can be drawn. Technical drawing in Photonics

x1,2 Lesson 10 Technical drawing in Photonics Outline of the body can be drawn. Technical drawing in Photonics

Lesson 10 x1,2 The clear drawing. Technical drawing in Photonics

Lesson 10 Technical drawing in Photonics

Lesson 10 References Ocskó Gy., Seres F.: Gépipari szakrajz, Skandi-Wald Könyvkiadó, Budapest, 2004 Lőrincz P., Petrich G.: Ábrázoló geometria, Nemzeti Tankönyvkiadó Rt., Budapest, 1998 Pintér M.: AutoCAD tankönyv és példatár, ComputerBooks, Budapest, 2006 Technical drawing in Photonics