Photo AI
Hyperbolic paraboloid surfaces are often used in the construction of buildings such as the aircraft hangar shown in the 3D graphic on the right - Leaving Cert DCG - Question C-2 - 2010
Question C-2
Hyperbolic paraboloid surfaces are often used in the construction of buildings such as the aircraft hangar shown in the 3D graphic on the right. Fig. C-2 below show... show full transcript
Worked Solution & Example Answer:Hyperbolic paraboloid surfaces are often used in the construction of buildings such as the aircraft hangar shown in the 3D graphic on the right - Leaving Cert DCG - Question C-2 - 2010
Step 1
Draw the given plan and elevation of the hyperbolic paraboloid surface.
Answer
Begin by outlining the surface ABCD in the plan view. Use the provided measurements to create a rectangle with the vertices labeled A, B, C, and D. Ensure the dimensions are accurate and represented to scale.
Next, draw the elevation of the surface ABCD. Ensure that the contour mirrors the given profile while maintaining the proportions of the outline. Indicate the curvature of the surface as noted in the elevation.
After that, divide the surfaces into evenly spaced segments to showcase elements of the surface, applying any necessary grid lines to enhance clarity.
Step 2
Project an end view.
Answer
To project the end view of the hyperbolic paraboloid, first establish the reference lines for curvature at the edges of the surface ABCD. This view will appear in a two-dimensional representation, so it’s crucial to depict the shape accurately according to the spatial relationship between points A, B, C, and D.
Draw the end view by projecting from the elevation, ensuring that the height and width measurements align with those given in the plan and elevation. Clearly indicate the curves that define the hyperbolic paraboloid shape in this view.