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The image on the right shows a recycling bin in a shopping centre - Leaving Cert DCG - Question C-3 - 2017
Question C-3
The image on the right shows a recycling bin in a shopping centre. The sloping top of the metal bin is a transition piece made up of two trapeziums and three rectang... show full transcript
Worked Solution & Example Answer:The image on the right shows a recycling bin in a shopping centre - Leaving Cert DCG - Question C-3 - 2017
Step 1
Draw the given plan and elevation of the five surfaces of the transition piece.
Answer
To sketch the plan and elevation accurately, start by interpreting the dimensions provided in the images. For the plan, outline the trapezoidal section representing the top view, ensuring to include surfaces A, B, and C clearly labeled. Then, for the elevation, replicate the shapes vertically while observing the height relationships established by the given dimensions.
Step 2
Determine the dihedral angle between surfaces A and B.
Answer
Establish the true length of the line of intersection between surfaces A and B using well-labeled auxiliary views, particularly using coordinates like (3,3,3). This will help visualize and calculate the angle through a plane projection or by employing triangular laminate methods.
Step 3
Determine the true length of the shortest diagonal on surface C.
Answer
Using triangulation, measure the true length of the shortest diagonal on surface C. Begin by setting points strategically across the surface to establish baseline lengths. Then apply the Pythagorean theorem to find the length of the diagonal by using the coordinates established in your auxiliary view.
Step 4
Draw the given one-piece surface development of the transition piece.
Answer
For the development, unfold the transition piece from your elevation view into a flat layout. Make sure to accurately connect the lines in a way that represents all five surfaces while adhering to the established scales. Ensure that the trapezoids and rectangles are proportionally represented, paying close attention to edge alignments.
Step 5
Draw both openings in the plan and in the elevation.
Answer
Offset the edges of surfaces B and C inward by 60mm to create the openings. Start by marking the offset points on the plan and then trace the outlines of the openings. In the elevation, similarly offset the edges and draw the necessary projections to reflect the openings accurately in both views.