Currently, I am working on a problem in which I need to use MILP to model equilibrium equations in a lightweight structure. Although this is an application based question, I wondered if there is a good reference in the literature discussing the mathematical modeling of such an application based on statical concepts.
A brief discussion of structural optimization is given in chapter 15 of Linear Programming: Foundations and Extensions, by Robert J. Vanderbei.
Structural optimization is the general name that researchers use for a wide range of research topics in the literature, i.e., Shape optimization, Size optimization and also Topology optimization.