QUESTION $4(20$ Marks$)$

A $300$ mm diameter pipeline, in a horizontal plane, is to change direction through a

rising $50$ bend in a vertical plane as shown below. The contracting pipe bend is to have

an outlet diameter of $150$ mm $,$ which is to be $1\mathrm{.}5$ m above the inlet. The design flow

and estimated head loss through the bend is $0\mathrm{.}4\frac{m^3}{s}$ and $0\mathrm{.}5$ m respectively. If the

bend has a volume of $0\mathrm{.}0075m^3$ and the pressure at the entrance to the bend is $300$

kPa $,$ calculate the magnitude and direction of the resultant force that the bend support

will have to withstand.