Question

This is statically indeterminate structure please solve using Engesser's theorem.

8/9 (25 marks) Question 4 The elevations of all points on a parabolic arch (see Figure Q4a) are given by 4 h X - y = height of point above horizontal line joining springing points; rise; where span; horizontal distance of the point from a springing point W h k L Figure Q4a The horizontal reaction, H, at the support of a parabolic arch with point load, W, at a distance k L from the left-hand support (as shown in Figure Q4a) is given by concentrated vertical 5WLK(1-2 k2 k3) H 8 h A bridge spanning 45 m is constructed as a two-pinned parabolic arch (ABCDE) with a rise of 9 m. It supports two concentrated loads and a partial uniformly distributed load of 33 kN/m span, as shown in Figure Q4b. 6 m 6 m 5 m K 28 m 390 kN 33 kN/m 260 kN D 9 m 45 m Fiqure Q4b Question 4 continues overleaf Sermester 1, 2018 FINAL EXAMINATION Page 7 of 8 NON LX

Answer 1

What is to be found out?

Where is the next leaf? Provide next leaf so that we can see what things are to be calculated?