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The Convention Centre, shown in the image on the right, is a landmark building in Dublin - Leaving Cert DCG - Question B-1 - 2012
Question B-1
The Convention Centre, shown in the image on the right, is a landmark building in Dublin. Its stunning design includes a glass front in the form of a right cylinder ... show full transcript
Worked Solution & Example Answer:The Convention Centre, shown in the image on the right, is a landmark building in Dublin - Leaving Cert DCG - Question B-1 - 2012
Step 1
Draw the given end view. Include the straight line elements on the surface of the cylinder as shown.
Answer
To draw the end view of the structure:
- Start with the base of the semi-cylinder, which is a half-circle.
- Draw a horizontal line representing the width of the cylinder.
- Scale it to the appropriate dimensions based on the provided scale (1:100).
- Add the vertical lines representing the sides of the cylinder, ensuring the correct angle (60°) is indicated.
- Finally, include the straight line elements on the surface as required.
Step 2
Project the given elevation showing all construction lines clearly.
Answer
For projecting the elevation:
- Begin with the outline of the rectangular portion of the building as indicated by the figure.
- Establish a grid referencing the dimensions given in the end view.
- Mark the curve ABC as semi-elliptical on the vertical surface, using points determined from the end view projection.
- Make sure to include all necessary construction lines to support the overall structure, clearly differentiating between major and minor axes.
Step 3
Locate the two focal points of the semi-elliptical curve ABC and determine the centre of curvature for the point B.
Answer
To find the focal points:
- Recall that for an ellipse, the distance from the center to each focus (focal length) is calculated using the formula: c = rac{1}{2} imes ext{distance between the major and minor axes}
- Label the foci on the curve ABC accordingly.
- To determine the center of curvature at point B, draw a normal at point B and find the point where this normal intersects the principal axis. This intersection point represents the center of curvature for point B.