CE 381P - Computer Methods in Structural Analysis

**Course Purpose: **

CE 381P focuses on computing the response of structural frames and trusses. This class will extend many of the concepts treated in courses on matrix methods of analysis by developing a general framework for analyzing complicated structural systems. A large portion of the course will focus on computing the response of structures accounting for geometric and material nonlinearity.

**Course Objectives:**

By the end of the course, you should be able to do the following:

Derive stiffness/flexibility relations for structural members using virtual work principles.

Use and/or develop structural analysis software to analyze complicated structural systems. S Interpret the output from computer-based analyses for the purpose of structural design.Determine the critical load of structural systems.

Compute the load-deformation behavior of a structure accounting for nonlinear effects.

**Topics:** (**Suggested
Reading in Text**)

*Introduction:* Review of basic concepts and matrix methods of structural
analysis (**1.1, 1.2.1, Ch. 2, Ch. 3, 4.5.1, 4.5.3,
5.1**)

*Virtual Work Principles in Structural Analysis*

Review of Principle of Virtual Displacements and Virtual Forces (

6.2, 6.3, 6.4, 6.5)Stiffness Relationships for Prismatic and Non-prismatic Members (

7.1, 7.2, 7.3)Matrix Form of Compatibility and Equilibrium (

3.1, 3.2, 3.3)Stiffness Method of Analysis

Flexibility Method of Analysis

Flexibility / Stiffness Transformations (

4.4)

*Large Displacement Behavior of Structures*

Overview of Structural Stability (

Ch. 8)Snap-through and Bifurcation (

Ch. 8)Nonlinear Solution Methods: Newton-Raphson, Euler, and Arc-Length Methods (

12.1, 12.2, 12.3, 12.7)Linearized Buckling and Eigenvalue Problems (

12.8)

*Fundamentals of Plasticity Theory* (Time Permitting)

Stiffness Matrix Formulation Including Inelasticity (

10.1, 10.2)Computational aspects of plastic hinge analysis for frame members (

12.6)