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A modern exhibition centre which has a triangular glass front and a triangular glass doorway is shown in the 3D graphic on the right - Leaving Cert DCG - Question C-2 - 2009
Question C-2
A modern exhibition centre which has a triangular glass front and a triangular glass doorway is shown in the 3D graphic on the right. Fig. C-2 below shows the plan ... show full transcript
Worked Solution & Example Answer:A modern exhibition centre which has a triangular glass front and a triangular glass doorway is shown in the 3D graphic on the right - Leaving Cert DCG - Question C-2 - 2009
Step 1
Surface ABCD of the structure is in the form of a hyperbolic paraboloid.
Answer
To draw the hyperbolic paraboloid surface ABCD, follow these steps:
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Identify Key Points: Use the coordinates provided in the plan to mark points A, B, C, and D on your drawing. The dimensions suggest A is at (0, 0), B at (6, 0), C at (12, 0), and D at (6, 4).
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Draw the Base Outline: Begin by sketching the outline of ABCD on the plan, connecting points A to B, B to D, D to C, and C back to A. Ensure the shape resembles a rectangle with dimensions: Width 12m and Height 4m.
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Create the Parabolic Curve: Using a smooth curve, approximate the shape of the hyperbolic paraboloid connecting points A to C and B to D. This typically means ensuring the curve bows outward, representing the 'saddle' shape characteristic of hyperbolic paraboloids.
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Include Elevation Details: For the elevation view, utilize dimensions from the plan, highlighting the two parabolic edges at the specified heights at points B and D. Plot these points accurately to create the elevation profile on the side view.
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Project End View: Lastly, draw the end view based on the elevation. This view should also show the curves and points defined along the Z-axis in line with the elevations.
Ensure that you maintain the scale of 1:200 throughout your drawings.
Step 2
Draw the elevation, end view and plan of the triangular entrance and complete the projections of the structure.
Answer
For the triangular entrance, follow these steps:
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Locate Entrance Points: Given that the triangular entrance is shown at the intersection of X, A and C, mark points A, B, and C with specified dimensions. Point A is at the base (0,0), while B and C are determined using the center height from the structure's design.
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Draw Triangular Shape: Sketch the triangular entrance connecting points A, B, and C. The height of this triangle must be accurate as per the elevation view, typically indicating a depth as specified in the elevation dimensions.
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Projecting the Triangular Entrance: You can project the triangular entrance by creating light lines extending from your triangular shape downward, assessing how they fit within the overall design of the structure, ensuring all projections connect logically.
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Finalize Elevation and Plan: Finalize your elevation drawing, ensuring the triangular entrance's height corresponds with the overall building. Add any additional detail lines to indicate projections on other planes, ensuring clarity of the final representation.
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Review and Adjust: Once the drawings are completed, take a moment to review each view (plan, elevation, and end view) for accuracy against the proportions you've laid out, making adjustments as necessary before finalizing your work.