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The graphic on the right shows a skyscraper which is located in Miami, Florida - Leaving Cert DCG - Question B-2 - 2010
Question B-2
The graphic on the right shows a skyscraper which is located in Miami, Florida. The front face of the building contains a curved recess as shown. Fig. B-2 shows the ... show full transcript
Worked Solution & Example Answer:The graphic on the right shows a skyscraper which is located in Miami, Florida - Leaving Cert DCG - Question B-2 - 2010
Step 1
Draw the given plan and elevation of the building.
Answer
To draw the plan and elevation:
- Start by using the scale of 1:100 given for the drawing.
- Using the dimensions provided in the figure, sketch the outline of the building's elevation on graph paper.
- Draw straight vertical and horizontal lines to represent the edges, ensuring proportions are accurate.
- The curved recess can be represented using a smooth curve that joins the points defined in the plan.
Step 2
Complete the elevation by drawing the curve on the front face of the building.
Answer
For the elevation:
- Refer to the plan to determine the exact points on the front face where the curve will meet the edges.
- Begin at the highest point of the recess and draw a smooth, continuous curve towards both sides of the elevation.
- Make sure the curve is consistent with the architecture shown in the provided images, resembling a parabolic or elliptical shape.
Step 3
Determine the horizontal and vertical traces of the oblique plane that contains the front face of the building.
Answer
To find the traces of the oblique plane:
- The horizontal trace (HT) can be located where the oblique plane intersects the horizontal plane. This line can be found by extending horizontal lines from the relevant points on the elevation.
- The vertical trace (VT) is determined similarly, where the projection of the elevation meets the vertical plane. The intersection points from the elevation must be plotted on a vertical line.
Step 4
Determine the true angle between the traces.
Answer
To find the true angle between the traces:
- Identify the lines of the HT and VT from the previous steps.
- Utilize the tangent or sine method to calculate the angle between these two lines, ensuring to measure from their intersection.
- The true angle can be computed using the formula:
heta = an^{-1} rac{a}{b}
where
aandbare the respective lengths of the traces from the intersection point.