The diameter of a pipe bend is $0\mathrm{.}35$ m at inlet and $0\mathrm{.}2$ m at outlet and the flow $(15)$ is turned through $135\backslash$deg in a vertical plane. The axis at inlet makes an angle of $50\backslash$deg to horizontal plane and the centre of the outlet section is $1$ m above the centre of the inlet section. The total volume of fluid contained in the bend is $0\mathrm{.}12$ m$^3.$ Due to losses of energy between inlet and outlet $0\mathrm{.}2$ m of head is lost. Calculate the magnitude and direction of the force exerted on the bend by the water flowing through it at $230$ lit$/$s when the inlet pressure is $150\mathrm{.}78$ kN$/$m$^2.$