Answer Happy

QUESTION # 3 Figure 6 below shows a 2 pin semi-circular arch of radius R of 30m supporting a UDL w of 20kN/m across its full width. w =20kN/m P R = 30m HkN d HKN 30m 30m B Figure 6 The horizontal reaction H = 400 KN 30 (a) Determine the horizontal and vertical reactions at A & B. (b) Determine the height h and distance d of the arch for values of 8 from 0 to 90 every 15⁰. (c) Calculate and plot the bending moment every 15° around the arch. (d) If the arch was changed to a 2 pin parabolic arch of the same height and span, explain if and how the horizontal reaction and axial force would change at A and B. (e) Sketch the deflected shape of the semi-circular arch if an additional vertical point load of 600KN was applied 15m from the left hand support A. Ih