Example $7\mathrm{.}16$

Building $($A$)$ shown in the figure was constructed twenty years ago in an excavation equal to the weight of the building and did not shows any settlement. Another building $($B$)$ which are a twenty$-$story structure with net weight $294300kN$ was constructed only three years ago on rigid mat $(30**30)m.$ Building $(A)$ has started showing some cracks. Plans for the two building are given in the figure. You have been called as a consultant to access the to indicate if any differential settlement has occurred in the building $($A$)$ due to the construction of Building $($B$).$