This book presents the application of new techniques in analyzing truss and frame structures. The book contains two main sections: Numerical Analysis of Structures and Mass-Saving in Structures. Under each section, different approaches on the topic are given. Covered in these sections are dynamic stability analysis, design optimization considering vibration, FEM analysis, topology optimization methods, and recommendations to build lightweight structures. It is believed that this book will be helpful to its readers for new perspectives on the analysis of structures.