1 TRANSFORMATION GEOMETRY Prerequisite knowledge: To complete this model you should have a working knowledge of Solidworks Focus of the lesson: To create a model to demonstrate the principles of Transformation Geometry based on a Junior Certificate Ordinary Level question Commands Used: Sketch, Extrude, Mate The given figure shows the design of a logo for a camp site. Also shown is a small 3D graphic of the logo. Draw the given logo and then locate the points A, A1, A2, A3 and P as shown. Find the image of the given figure under the following transformations: (a) From point A to A1 by a translation. (b) From point A1 to A2 by an axial symmetry in the line A‐A3. (c) From point A2 to A3 by a central symmetry in the point P. [Technical Graphics O L] 1‐1
TRANSFORMATION GEOMETRY TRANSFORMATION GEOMETRY ‐ NOTES 2 CONIC SECTIONS/ELLIPSE Prerequisite knowledge: To complete this model you should have a working knowledge of Solidworks Focus of the lesson: To design and create a teaching and learning model for Conic Section/Ellipse based on a brief Commands Used: Appropiate commands based on knowledge of SolidWorks
Select one section below and create SolidWorks Model revelant principles of geometry  Properties of an Ellipse/ Major Minor Axis, Focal Points  Ellipse as a Conic Section  Construction Methods  Introduction to the Ellipse  Tangent and Normal  Other CONIC SECTIONS/ELLIPSE ‐ NOTES 3 COMMANDS Prerequisite knowledge: To complete this model you should have a working knowledge of Solidworks Focus of the lesson: Review of possible commands used for the integration of models in teaching and learning in DCG and TG Commands Used: Four View, Roll Back, Measure, 3D Sketch, Convert Entities Four View Roll Back Measure 3D Sketch Sketch Picture Convert Entities COMMANDS ‐ NOTES 4 PICTORIAL PROJECTIONS/AXONOMETRIC PROJECTION Prerequisite knowledge: To complete this work you should have a working knowledge of SolidWorks Focus of the lesson: Creating SolidWorks drawings to be used with existing CAD models Commands Used: Sketch, Creation and Modification of Layers The 3D graphic on the right shows an exit from Dublin’s Port Tunnel. The outline of the exit is also shown, as a line diagram, in the thought bubble. Fig. B‐2 below shows an incomplete dimetric projection of the tunnel exit (using the axonometric axes method). The elevation and end view are also shown in their required positions. (a) Draw the axonometric axes X, Y and Z and the isosceles triangle abc. (b) Draw the elevation and end view orientated as shown. (c) Draw the completed axonometric projection. (d) In the pictorial projection, identify the traces of the simply inclined plane that contains the sloped exit. [Design & Communicaation Graphics H L] Scale 1:100 4 ‐ 1 PICTORIAL PROJECTION/AXONOMETRIC PROJECTION Option 1 Basic Version Option 2 Design & Communication Graphics HL OPTION 1
OPTION 2
PICTORIAL PROJECTION/AXONOMETRIC PROJECTION ‐ NOTES 5 INTERSECTION OF SURFACES Prerequisite knowledg: To complete this work you should have a working knowledge of Solidworks Focus of the lesson: To investigate how and existing intesection of solids model could be used with particular reference to the principals of geometry Commands Used: 3D Sketch, Convert Entities A 3D graphic of a trophy for an archery competition is shown on the right. The trophy consists of a number of intersecting solids. Fig. B‐1 below shows the incomplete projections of two of the solids which penetrate each other. (a) In the diagram an irregular based pyramid rests on the horizontal plane. Draw the plan and elevation of this pyramid. (b) An equilateral triangular prism, of 40mm side, penetrates the pyramid as shown. Draw the outline plan and elevation of this triangular prism. (c) Complete the drawing, showing all lines of interpenetration. [Design & Communicaation Graphics H L]
Scale 1:1 5 ‐ 1 INTERSECTION OF SURFACES Prerequisite knowledge: To complete this work you should have a working knowledge of Solidworks Focus of the lesson: Study the use of Roll Back, Convert Entities and 3D Sketch for teaching and learning Commands Used: 3D Sketch, Convert Entities INTERSECTION OF SURFACES ‐ NOTES 6 INTERSECTION OF SURFACES Prerequisite knowledge: To complete this work you should have a working knowledge of Solidworks Focus of the lesson: Create a model based on the DCG Higher level question Commands Used: Appropiate commands based on knowledge of SolidWorks The image on the right shows an abstract metal sculpture which is made from several intersecting solids. Fig. B‐2 below shows the incomplete projections of two such solids which penetrate each other. (a) In the diagram a triangular‐based pyramid is positioned with its base inclined at 30° to the horizontal plane. Draw the plan and elevation of this pyramid. (b) An equilateral triangular prism, of 65mm side, penetrates the pyramid as shown. Draw the outline elevation and plan of this triangular prism. (c) Complete the drawing, showing all lines of interpenetration. [Design & Communicaation Graphics H L] Scale 1:1 INTERSECTION OF SURFACES ‐ NOTES NOTES NOTES NOTES NOTES