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The image on the right shows a structure designed to provide shade for a seating area in a garden - Leaving Cert DCG - Question C-2 - 2019
Question C-2
The image on the right shows a structure designed to provide shade for a seating area in a garden. The projections of a similar structure are shown in Fig. C-2 below... show full transcript
Worked Solution & Example Answer:The image on the right shows a structure designed to provide shade for a seating area in a garden - Leaving Cert DCG - Question C-2 - 2019
Step 1
Draw the given elevation of the structure.
Answer
To draw the elevation, begin by sketching a rectangle whose dimensions align with the overall height and width of the structure. Next, plot the vertex B of the parabola ABC at the designated height. Then, construct the parabolic curve using a compass or mathematical curve drawing method such as the method of points or quadratic equations. Finally, complete the elevation by drawing any supporting elements such as lines for additional curves as indicated in the marking scheme.
Step 2
Draw the end view of the generating parabola ABC.
Answer
For the end view, start by establishing a rectangular outline that defines the base and the height of the generating parabola ABC. Draw the parabolic curve using proper scaling, ensuring that the focus and vertex align correctly. Use points at symmetrical intervals on the parabola to ensure accuracy in the curve.
Step 3
Project the plan of the structure.
Answer
Begin the plan by locating the points D, F, A, and C that correspond with the elevations drawn in the previous step. Establish reference lines on the left-hand side (LHS) of the plan to create a guideline for constructing the parabolic shape. Utilize geometric tools to draw the correct curves on the plan, ensuring that they correlate with the elevations and follow any specific instructions outlined in the marking scheme.
Step 4
Draw the elevation and plan of the line PQ and determine the vertical distance from the point R on the surface of the structure to the line PQ.
Answer
First, construct line PQ in both the elevation and plan views according to the specifications in the marking scheme. Ensure that the points P and Q are accurately placed in relation to the previously drawn parabolas. To find the vertical distance from point R, measure the height from point R on the surface to line PQ in both views, indicating this distance clearly. Use dashed lines or other markers to reflect this measurement properly.