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

2. 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

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

4. 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

5. 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

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

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

8. Lesson 10
Technical drawing in Photonics

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

10. 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

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

12. 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

13. 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

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

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

16. Lesson 10
Technical drawing in Photonics

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

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

19. 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

20. 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

21. 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

22. Lesson 10
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All the necessary lines.
Technical drawing in Photonics

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

24. Lesson 10
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The clear drawing.
Technical drawing in Photonics

25. Lesson 10
Technical drawing in Photonics

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

27. Lesson 10
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a square prism.
Technical drawing in Photonics

28. Lesson 10
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Drawn together.
Technical drawing in Photonics

29. 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

30. 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

31. 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

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The arc can be drawn.
Technical drawing in Photonics

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Outline of the body can be drawn.
Technical drawing in Photonics

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

35. Lesson 10
Technical drawing in Photonics

36. 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