Example D E F Object Analysis 2 Additional
Example D, E, F: Object Analysis 2 Additional Task to the multimedia book „Darstellende Geometrie/ 3 D-Geometry“, published by Veritas Educational Edition Student Edition ISBN - 978 -3 -7058 -9079 -4 ISBN - 978 -3 -7058 -9293 -4 Special edition for teachers: The print version shows handouts of theory and worked-out examples. Each handout can be printed in colour and is also suitable as a solutions handout. Through the use of animated Power. Point files it is possible to structure the lessons in a contemporary and innovative manner for students. Special edition for students: The print version consists of well prepared worksheets to start working right away. On the CD you will find colourful Power. Point presentations, including theory as well as solved examples with step-by-step explanations. This provides a highly efficient technique in developing an understanding of geometry and its concepts. for more DETAILS and ORDER 1
Example D: Object Analysis 2 The images below show a candle stand. Analyse which bodies or surfaces occur in these objects. Use a CADSoftware to design these objects according to the analysis of the respective object. rotational cone rotational cylinder- drilled by centric rotational cylinder 45 40 rotational cylinder 85 70 5 R 7 R 67, 5 45 R 12, 5 R 2, 5 20 10 70 45 50 Possible dimensions: Chamfer radius = 1 2
Example D: Object Analysis 2 The images below show a candle stand. Analyse which bodies or surfaces occur in these objects. Use a CADSoftware to design these objects according to the analysis of the respective object. Way of solution in Microstation: Construct the drilled cylinder as difference of two centric cylinders parallel to the yz-plane. Determine the pillars by two cylinders. Construct the candle holder (drilled cylinder) Construct the cone. This cone is drilled by a centric similar cone. Use auxiliary lines to define the height of the inner cone. Use Boolean operations to complete the solid and chamfer all edges by radius=1. 3
Example E: Object Analysis 2 The images below show a vase. Analyse which bodies or surfaces occur in these objects. Use a CAD- Software to design these objects according to the analysis of the respective object. truncated pyramid with squared basement difference of „drilled“ truncated pyramid 220 q Possible dimensions: q 30 q 60 30 truncated pyramid with squared basement 60 4
Example E: Object Analysis 2 The images below show a vase. Analyse which bodies or surfaces occur in these objects. Use a CAD- Software to design these objects according to the analysis of the respective object. Way of Solution in Microstation: Construct three squares parallel to the xy-plane. Use “Pyramid Solid” – rectangle to define both truncated pyramids. Define union and use “Shell SOLID” to hollow out the solid by 3. Choose top face to open. 5
Example F: Object Analysis 2 The images below show a candle stand. Analyse which bodies or surfaces occur in these objects. Use a CADSoftware to design these objects according to the analysis of the respective object. rotational cone 25 part of elliptic cylinder z‘‘ 150 25 80 160 y‘‘ 45 y‘‘ 60 120 102, 5 30° 110 120 130 80 z‘‘ R 0 70 215 17 7, 5 13 5 Possible dimensions: Chamfer radius = 1 z‘‘ 70 20 y‘ R 40 x‘ 6
Example F: Object Analysis 2 The images below show a candle stand. Analyse which bodies or surfaces occur in these objects. Use a CADSoftware to design these objects according to the analysis of the respective object. Way of Solution in Microstation: Define each profile (ellipse) of the extrusion solids in the yz- planes. Use auxiliary lines. Use „TRIM to ELEMENT“ to obtain the required parts. Close each shape with “Create Complex SHAPE”. Extrude both (closed) profiles. Construct the cone by difference of outer cone with similar (truncated) cone. To define the inner (truncated) cone an auxiliary construction is necessary. Move cut cone to its correct positions- use “copy”. Chamfer all edges to get a nicer result. 7
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