CIV_ENV 423-0: Matrix Analysis of Structures

Quarter Offered

Fall : TTh 2:00-3:50 ; Alarcon


Graduate standing, Senior undergraduate or permission of instructor


Use of matrix methods for analysis of articulated structural systems, geometric matrices, stability, analysis of geometrically nonlinear systems, introduction to the finite element method.

Course Objectives

  1. Combine classical methods of Structural Analysis with programming and commercial software.
  2. Determine deflections and forces in statically determinate and indeterminate structures using force and stiffness methods
  3. Use a physical interpretation of stiffness matrices to assemble stiffness matrices analytically
  4. Write and use computer programs which implement the matrix stiffness method

Course Outcomes

  1. Calculate deflections, reactions and internal forces for trusses, beams and frames using analytical and computer-based methods
  2. Extend the study of linear elastic analysis to include non linear aspects of structure behavior
  3. Be able to interpret computer output and validate results using simplified models and hand calculations

Reference Texts:

  1. C. Hibbeler, Structural Analysis, 2018
  2. Kassimali, Matrix Analysis of Structures, 2012
  3. Fish, T. Belytschko, A First Course in Finite Elements, 2007
  4. Felton L. P and Nelson R. B, Matrix Structural Analysis, 1997
  5. Cook, D. Malkus and M. Plesha, Concepts and Applications of Finite Element Analysis, 1989
  6. H. Gerstle, Basic Structural Analysis, 1974
Course Outline, Outcomes, and Goals