Reference no: EM13625644

A ship channel has a depth of 16 m and an upper width of 16 m. The sides of the channel are curved such that the width at the bottom is 8 m. The function y(x)=2*x^(3/2) in the diagram below describes the shape of the channel wall where both ‘x' and ‘y' are measured in meters relative to the origin indicated. The channel outlet can be completely closed by two rectangular doors each 18 m high by 10 m wide centered horizontally across the channel outlet. The water within the channel has a depth of 14 m measured from the free surface to the flat bottom of the channel; however, there is no water outside doors at the channel outlet. Calculate the moment (MN-m) on the door hinge post on line A-A resulting from the hydrostatic pressure on the door for two cases: a) the channel wall as given by the function y(x), b) for the case were the channel width is constant 16 m top to bottom, i.e. has rectangular cross-section.