This document provides a review of lightweight design approaches that could be applied to aeronautical components and systems. It discusses how traditional lightweight methods have used high-performance materials, structural optimization using computationally-aided engineering, and advanced manufacturing processes. The document examines various lightweight technologies and materials that have been used or could be used in aviation, such as composites, metals, and additive manufacturing techniques. It also discusses approaches for numerically optimizing structural designs to reduce weight, such as size, shape, and topology optimization methods.