Technical Drawing - Exam Papers - Higher - 2007 - Building

Question 6

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Fig. 5 shows the outline plan and elevation of a hyperbolic paraboloid roof. The perimeter of the roof is a circle in plan and ADCEF is a regular pentagon in plan. The roof is formed by extending the adjoining hyperbolic paraboloid surfaces ABCD and ABEF.

(a) Draw the plan and elevation of the roof.

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

(c) A plane director for the elements AD and BC is positioned so that it contains point A. Draw the traces for this plane director, determine the true angle between the plane director and the vertical plane and find the shortest distance from the point F to the plane director.

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