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The 3D graphic on the right shows Dublin’s new Grand Canal Theatre - Leaving Cert DCG - Question C-3 - 2011
Question C-3
The 3D graphic on the right shows Dublin’s new Grand Canal Theatre. The front of the modern structure features several intersecting sloping glass surfaces. Fig. C-3... show full transcript
Worked Solution & Example Answer:The 3D graphic on the right shows Dublin’s new Grand Canal Theatre - Leaving Cert DCG - Question C-3 - 2011
Step 1
Surfaces A and B have a pitch of 50°. Draw the plan and elevation of these two surfaces and determine the dihedral angle between them.
Answer
To draw surfaces A and B:
- Outline Plan: Begin by sketching the outline plan with the given pitch of 50°. Include the angles based on the vertical and horizontal projections.
- Elevation: Construct the elevation view of surfaces A and B ensuring to maintain the 50° angle in reference to the horizontal.
- Intersection: Identify the line of intersection between surfaces A and B. Use a vertical plane to establish their connection.
- Dihedral Angle Calculation: To determine the dihedral angle, utilize the formula for the angle between two planes. The angle can be measured directly on the drawing as well.
Step 2
Draw the plan and elevation of surfaces C and D.
Answer
For surfaces C and D:
- Plan View of Surface C: Draw surface C in a horizontal plane, indicating size and details as specified in the plan view.
- Elevation of Surface C: Next, create an elevation diagram for surface C, maintaining scale and angle details.
- Plan View of Surface D: Similarly, sketch the plan view of surface D, ensuring to highlight the parallel edges 'pq' and 'rs'.
- Elevation of Surface D: Finally, complete the elevation of surface D, integrating all relevant dimensional details and angles.
Step 3
The dihedral angle between surfaces D and E is 125°. Complete the projections of surface E.
Answer
To finalize surface E:
- Length of Intersection 'rs': Illustrate the length of intersection of surface 'rs' clearly in the drawing.
- Construction Point on HT of Surface E: Identify and mark the construction points on the horizontal trace of surface E.
- Complete Plans: Draw the plan view of surface E while considering the given dihedral angle of 125° with respect to surface D.
- Elevation of Surface E: Finally, produce the elevation of surface E, including calculations for height based on the determined intersections.