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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
- Start by sketching the horizontal projection of the right cylinder with a radius of 12 m. Ensure it is drawn standing on the horizontal plane.
- Indicate the inclination of 60° to the horizontal by sketching the slant height.
- Draw the vertical rectangle intersecting the cylinder, ensuring it is at the correct location based on the cylinder's dimensions.
- Complete the end view by adding straight line elements that represent the intersections of the cylinder and vertical surface, ensuring clarity of the design.
Step 2
Project the given elevation showing all construction lines clearly.
Answer
- Outline the rectangular portion of the building by drawing a vertical rectangle of height 18 m and width based on the cylinder size.
- Sketch the major and minor axes for the semi-elliptical curve, marking the points A and C based on the diameter of 18 m.
- Determine at least 6 additional points for the curve ABC, using equal divisions along the horizontal axis.
- Draw the required elliptical curve through these points ensuring it smoothly connects points A and C.
- Establish vertical points from the curves onto the vertical surface to show intersections.
- Indicate any additional points required on the vertical surface and curves based on constructed points, ensuring clarity of the structure in the elevation view.
Step 3
Locate the two focal points of the semi-elliptical curve ABC and determine the center of curvature for the point B.
Answer
- To determine the foci of the ellipse, use the formula for the distance of the foci from the center, given as: c = rac{ ext{major axis}}{2} where the major axis is 18 m, giving focal distance, m.
- The foci points are located along the major axis at coordinates (9, 0) and (-9, 0).
- For point B on the curve, utilize the curvature at that point to identify the center of curvature. This is typically found by drawing a normal line at point B and determining where it intersects with a line perpendicular to the curve.
- Complete by marking the center of curvature based on these calculations and construction lines.