Mark a true $($T$)$ or false $($F$)$ sign for the following statements $(50$ Points$)$

$(T)(1)$ Uniformly distributed loads in a limited range cause uniform settlement according to theory of elasticity.

$($T$)(2)$ The total settlement of a foundation consists of three components: immediate settlement, consolidation settlement, and secondary consolidation settlement.

$(3)$ Both soil particles and water are considered as incompressible in the Terzaghi's consolidation theory. However, the soil skeleton is compressible when there is water flow out of the soil.

$($F$)(4)$ Excess pore pressure is always equal to the applied load at the instant of load application for saturated soils in $1-$D Terzaghi's consolidation theory.

$($T$)(5)$ During the primary consolidation stage, excess pore water pressure is gradually transferred into effective stress because of expulsion of pore water.

$($T$)(6)$ The swelling $($recompression$)$ index is always smaller than the compression index.

$($T$)(7)$ An oedometer specimen of $10mm$ thick reaches $50\%$ settlement after $2$ minutes $($two$-$way drainage$).$ Then for the same soil with a thickness of $10m$ in the field, it will take $15\mathrm{.}2$ years to reach $50\%$ settlement under conditions of one$-$way drainage.

$($T$)(8)$ The preconsolidation stress is a failure stress, and it separates the elastic and plastic behavior of a saturated soil.