(Solved): A three-hinged parabolic arch of constant cross section is subjected to a uniformly distributed loa ...

A three-hinged parabolic arch of constant cross section is subjected to a uniformly distributed load of $10\mathrm{kN}/\mathrm{m}$ over a part of its span and a concentrated load of $50\mathrm{kN}$, as shown below. The dimensions of the arch are shown in the figure. a) Calculate the vertical and horizontal components of the support reactions at points A and B. Indicate clearly their directions. b) Calculate the horizontal thrust $(\mathrm{H})$ in the arch. c) Calculate the location and magnitude of maximum bending moment in the arch. Indicate clearly its direction.