Simple Elastic Solution

Shallow Foundation, Settlement

By liurg

Intro Doc

$\underline{Introduction}$ $\\$ Settlement of shallow foundations include both the elastic settlement, consolidation method, and secondary method. For sand and stiff and overconsolidated clay, the elastic settlement is the primary component and can be predicted using the elastic theory, Janbu's method, Mayne and Poulos's method, and Schmertmann's method. Consolidation settlement is the predominant settlement component in soft clays. Primary settlement needs to be considered for plastic soils. $\\$ $\\$ $\underline{Simple\space Elastic\space Solution\space on\space Ground\space Surface}$ $\\$ ${Perfectly\space Flexible\space Circular\space Footing}$ $\\$ \begin{equation}\label{eq1} \delta=\frac{PB}{E}(1-\nu^2) \end{equation} $\\$ $\\$ ${Perfectly\space Rigid\space Circular\space Footing}$ $\\$ \begin{equation}\label{eq2} \delta=\frac{\mathrm{\pi}}{4} \frac{PB}{E}(1-\nu^2) \end{equation}

App

Python Output