$10\mathrm{.}30$ A $3\mathrm{.}0m$ thick fill with a unit weight of $18\mathrm{.}1k\frac{N}{m^3}$ is to be placed on the soil profile

shown in Figure $10\mathrm{.}26.$ Consolidation test results at Points A and B are as stated in

Problem $10\mathrm{.}17,$ except that ${}_c^{\text{'}}$ at point B is now $200$kPa. Using Equation $10\mathrm{.}21$ with $C_c$

or $C_r$ as appropriate, develop a plot of vertical strain, ${}_z$ vs$.$ depth from the original

ground surface to the top of the glacial till. How does this curve vary within a given soil

stratum? Why? Does it suddenly change at the strata interfaces? Why?