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The concept design for the proposed U.S - Leaving Cert DCG - Question C-3 - 2014
Question C-3
The concept design for the proposed U.S. Marshals Museum in America is shown in the graphic below. The plan of the building was inspired by the pentagonal star shape... show full transcript
Worked Solution & Example Answer:The concept design for the proposed U.S - Leaving Cert DCG - Question C-3 - 2014
Step 1
Draw the regular pentagon and complete the given plan and elevation of surfaces A and B.
Answer
To start, sketch a regular pentagon with equal sides and angles (each angle measuring 108°). Using the provided dimensions, complete the plan by marking points corresponding to A and B. For the elevation, project the heights of surfaces A and B accurately onto the respective axes.
Step 2
Determine the dihedral angle between the surfaces A and B.
Answer
To find the dihedral angle between surfaces A and B, draw the line of intersection and determine the angle between the normals to these surfaces. Use trigonometry to calculate the angle where the two planes meet. The true length of the line of intersection should be noted for greater accuracy.
Step 3
Determine the vertical trace and the horizontal trace of the plane that contains surface B.
Answer
Establish the vertical trace (VT) by projecting surface B onto the VT plane. This involves locating the points on the horizontal plane and drawing the corresponding trace. Repeat this step for the horizontal trace (HT) to accurately identify the alignments.
Step 4
Complete the projections of surface C.
Answer
Use the given angle of 160° to project surface C into the second auxiliary view. Start by drawing the line of intersection from surfaces B and C. Then, ensure that the reflections in both the plan and elevation view appropriately represent surface C, taking care to align with the given angles and dimensions.