Photo AI
The image on the right shows the entrance structure to the Pilo Hotel in Co - Leaving Cert DCG - Question B-3 - 2019
Question B-3
The image on the right shows the entrance structure to the Pilo Hotel in Co. Meath. It comprises a series of planar glass surfaces. Fig. B-3 shows the plan and elev... show full transcript
Worked Solution & Example Answer:The image on the right shows the entrance structure to the Pilo Hotel in Co - Leaving Cert DCG - Question B-3 - 2019
Step 1
Draw the plan and elevation of the intersecting planes A and B.
Answer
-
Establish the coordinates of planes A and B in the plan. Both planes should intersect at a given line, which you can label appropriately.
-
Create the plan view showing the outlines of both planes A and B on the square grid.
-
Draw the elevation view, ensuring that the positions correspond to the plan view.
-
Include the line of intersection in both the plan and elevation views, clearly marking it.
Step 2
Determine the dihedral angle between the planes A and B.
Answer
-
Identify X1Y1, which is parallel to the line of intersection of the two planes.
-
Project this line of intersection onto the new Xy1 line.
-
Next, establish a perpendicular line (Y2X2) to the line of intersection at the point where you projected.
-
Finally, calculate the dihedral angle by constructing the angle between the normal lines to the planes at the intersection line.
Step 3
Project an auxiliary elevation of plane A on the Xy1 line. Hence determine, and indicate in degrees, the inclination of plane A to the horizontal plane.
Answer
-
Project the points of plane A onto the given Xy1 line, ensuring all relevant details are included.
-
Identify the inclination of this projection against the horizontal reference line (HP).
-
Measure the angle with a protractor and label it with the respective degrees to indicate the inclination.
Step 4
Determine the points of intersection of the line PQ with the planes A and B.
Answer
-
Begin by drawing projections of the line PQ onto both the planes A and B.
-
Establish the directional path of line PQ relative to both planes and mark intersections
-
Construct the visual paths to indicate the penetration points clearly.
-
Identify the coordinates of these intersection points and indicate them on your sketch.