Technical Drawing - Exam Papers - Higher - 2003 - Building

Question 6

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Fig. 5 shows the outline plan of two adjoining hyperbolic paraboloid roof surfaces ABCD and AFED. The roof perimeter is a square in plan. The corners F and B are at ground level, corner A is 7m above ground level, corners C and E are 19m above ground level and corner D is 26m above ground level.

(a) Draw the given plan and project an elevation.

(b) Show the curvature of the roof along a line joining C and F.

(c) Determine the traces of the plane director for the edges BC and AD of the surface ABCD and having its horizontal trace passing through B.

(d) Determine the true angle between the vertical trace and the horizontal trace on the plane director.

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