$4-.$ A plate loading test with a square rigid plate in a dimension of $1m1m$ is run on a uniform soil. The applied load$-$settlement data are provided here:

$\backslash$table$[[$Load $($kN$),20,40,60,80,100,120,140,160],[$Settlement $($mm$),5,10,18,25,35,47,60,110]]$

Plot the applied pressure$-$settlement curve, determine the ultimate bearing capacity, and calculate the elastic modulus of the soil $($assume Poisson's ratio $=0\mathrm{.}3).$