QUESTION $5$ continued

$5.$ c$)$

Figure $5$c

$($i$)$ The arch shown in Figure $5$c is described by the equation $y=\frac{-10}{{15}^2}{x}^2$ and supports a uniformly distributed load of $25k\frac{N}{m}.$ Calculate the value of shear force, axial compression force and bending moment at a quarter point $($Point D$)$ along the arch. Note that the slope of the arch to the horizontal at Point $D$ is $38\mathrm{.}7.$

$($ii$)$ Calculate the values of the maximum and minimum axial compression forces in the arch shown in Figure $5$c and describe where, along the arch, these values are located.

$9$