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The 3D graphic on the right shows an exit from Dublin's Port Tunnel - Leaving Cert DCG - Question B-2 - 2011

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Question B-2

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The 3D graphic on the right shows an exit from Dublin's Port Tunnel. The outline of the exit is also shown, as in a slide diagram, in the thought bubble. Fig. B-2 b... show full transcript

Worked Solution & Example Answer:The 3D graphic on the right shows an exit from Dublin's Port Tunnel - Leaving Cert DCG - Question B-2 - 2011

Step 1

Draw the axonometric axes X, Y and Z and the isosceles triangle angle.

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Answer

To draw the axonometric axes, start by identifying the vertical axis (Z) and creating a 30-degree angle from horizontal for the X and Y axes, which should be drawn symmetrically about the Z-axis. This forms a 120-degree angle between the X and Y axes. Next, draw the isosceles triangle within these axes, ensuring that the base measures 14m and that the angles at the base are equal, leading to two angles of 115°.

Step 2

Draw the elevation and end view orientated as shown.

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Answer

Begin with the elevation view. Draw line bE (or aE) as the base, ensuring it measures 3.5m in height. Establish the orientation of the X and Y axes; X-axis will generally run horizontally at the base, while the Y-axis will be vertical for elevation purposes. Then, the end view can be drawn orienting the Z-axis pointing upwards at an angle, depicting the full outline of the recess.

Step 3

Draw the completed axonometric projection.

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Using the established elevation and end views, project lines from the key points in their respective views to create the axonometric projection. This involves extending lines at 30-degree angles from the established base lines and ensuring that all relative dimensions correspond to 1:100 scale, resulting in a well-structured axonometric view.

Step 4

Identify traces of the simply inclined plane that contains the sloped exit.

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Answer

In the pictorial projection, to identify the traces of the inclined plane that holds the sloped exit, draw horizontal and vertical traces along the respective axes. The trace should intersect the sloped exit, indicating its position and ensuring that both traces are accurately labeled for visibility.

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