Photo AI
The graphic on the right shows the Glasnevin Museum in Dublin, which has a modern roof structure - Leaving Cert DCG - Question C-2 - 2015
Question C-2
The graphic on the right shows the Glasnevin Museum in Dublin, which has a modern roof structure. Hyperbolic paraboloid surfaces are often used in structures such as... show full transcript
Worked Solution & Example Answer:The graphic on the right shows the Glasnevin Museum in Dublin, which has a modern roof structure - Leaving Cert DCG - Question C-2 - 2015
Step 1
Draw the given elevation and plan of the hyperbolic paraboloid surface.
Answer
-
Outline of Surface ABCD in Elevation: Start by drawing the elevation of the surface ABCD. Ensure to represent it accurately as a hyperbolic paraboloid using curves for the edges and the defined heights. This requires translating the points from the coordinates provided in the figure to the drawing while maintaining the proportions.
-
Elements in Elevation (incl. division): Divide the elevation into equal sections to denote the vertices A, B, C, and D. Accurately label these points to avoid confusion.
-
Outline of Surface in Plan: Next, draw the plan view of the hyperbolic paraboloid as seen from above. This means connecting points A, B, C, and D, creating a parallelogram shape.
-
Elements in Plan (incl. division): Again, divide this plan view into smaller sections as shown in the marking scheme for clarity and detail.
-
Curve in Plan: Finally, depict the curvature of the hyperbolic paraboloid in the plan view, incorporating the contour lines to suggest the 3D representation.
Step 2
Project an end view of the hyperbolic paraboloid surface.
Answer
-
Determine Heights and Widths for Surface ABCD: Measure the heights and widths of the vertices A, B, C, and D from the elevation drawing. Use these measurements to accurately project the end view.
-
Draw the Outline of the Hyperbolic Paraboloid: Sketch the base outline of the hyperbolic paraboloid drawn from the side view, keeping in mind the elevations and widths previously noted.
-
Draw the Elements: Indicate any additional elements such as grid lines on the surface that help in visualizing the structure, based on the projections shown in the marking scheme.
-
Curve in End View: Finally, illustrate the curves that represent the hyperbolic nature of the paraboloid when viewed from the end. Use smooth, continuous lines to depict the curve accurately.
-
Presentation: Ensure that all drawings are neat, labeled, and presented in a manner suitable for an architectural draft, maintaining clarity and professionalism throughout.