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The image on the right shows a climbing frame from a children's playground - Leaving Cert DCG - Question C-2 - 2021

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Question C-2

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The image on the right shows a climbing frame from a children's playground. It contains a series of hyperbolic paraboloid surfaces. Fig. C-2 below shows the project... show full transcript

Worked Solution & Example Answer:The image on the right shows a climbing frame from a children's playground - Leaving Cert DCG - Question C-2 - 2021

Step 1

Draw the elevation of surface ABCD in elevation

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Answer

To illustrate the elevation of surface ABCD, start by marking the points A, B, C, and D at the specified coordinates. The height at points B and C is 85 and 65 respectively. Connect these points smoothly, ensuring the correct proportions and angles (30º) as indicated in the figure. This forms the outline of your elevation view.

Step 2

Elements in elevation (incl. division)

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Answer

Add the necessary height and width divisions to the elevation drawing. Ensure that the divisions reflect the correct scale, breaking down the surfaces into manageable sections that guide the viewer's understanding of the structure's depth.

Step 3

Outline of surface in plan

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Answer

For the surface outline in plan view, view the outline from directly above. Start by marking out points A, B, C, and D on the X-Y axis according to their heights. Ensure that you represent the intersections and projections accurately.

Step 4

Elements in plan (incl. division or proj.)

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Answer

Include elements that demonstrate the divisions from the plan view. Divide the area into sections that correspond with the elevations while ensuring that the proportions remain correct.

Step 5

Completion of plan (curve and hidden detail)

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Answer

Finish the plan view by adding curves that represent the hyperbolic shape of the surface. Also include any hidden details that would be relevant to the understanding of the structure, such as outlines that represent the other side of the figures if they were visible.

Step 6

Determine heights and widths for surface ABCD

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Answer

To determine the heights and widths for surface ABCD, identify the vertical and horizontal distances between the key points: A, B, C, and D. Measure the heights from the defined baselines (e.g., the height from A to D should consistently maintain the proportions and measurements indicated in the drawings).

Step 7

Draw the outline of the hyperbolic paraboloid surface

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Answer

Using the previously calculated dimensions, sketch the outline of the hyperbolic paraboloid surface. Ensure that the curvature is smooth and follows hyperbolic equations to accurately represent the shape.

Step 8

Draw elements

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Answer

Illustrate the inner elements of the structure by using dashed lines for hidden details. This should include any necessary curves that follow the outline of the surface and indicate additional components that contribute to the hyperbolic structure.

Step 9

Completion of end view (curve and hidden detail)

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Answer

Finalise the end view by showcasing the main features of the hyperbolic paraboloid. Include curves detailing the three-dimensional aspect while ensuring hidden lines are dashed to provide clarity.

Step 10

Presentation

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120 rated

Answer

Ensure that all drawings are neat, organized, and titled appropriately. Present them in a manner that is easily readable and comprehensible, adhering to professional standards for technical drawings.

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