In the previous structural analysis course (CEE 3404 at Virginia Tech) you learned the basic principles of structural analysis as applied to trusses, beams, and frames. In most cases, you used hand solution techniques. Most of the structures solved were statically determinate. Small statically indeterminate structures were analyzed using the flexibility method (consistent deformations), or some variation of the stiffness method (including moment distribution or slope -deflection. In some cases, small systems of simultaneous equations were set up by hand and solved to arrive at a solution.

In CEE 5984, most of the structures solved will be statically indeterminate, and we will use the Direct Stiffness Method, also called the Displacement Method, to solve problems. This method relies heavily on matrices to store information and to set up and solve systems of simultaneous equilibrium equations. Most problems are too big to handle by hand, so an automated computer methodology is developed. Problems will be set up using Mathcad routines developed by the instructor, or by students.

We will work through a hierarchy of increasingly complex structural systems:
• One and two-dimensional bar structures
• Two-dimensional trusses
• Continuous beams
• Rectilinear planar frames
• General planar frames
• Two-way grids
• Three-dimensional trusses
• Three-dimensional space frames (if time permits)

It should be noted that the principle of virtual work, particularly the method of virtual forces, is to be relied on heavily during the early part of the semester. While new concepts will be taught with a strong theoretical (not necessarily mathematical) basis, emphasis will be placed on real-world applications.

The methods learned in this class are the basis for most "black-box" commercial structural analysis programs, including RISA and SAP2000.

• Apply the principles of virtual work to formulate the concepts of the direct stiffness method of structural analysis.
• Use the direct stiffness method, in association with Mathcad, to find nodal displacements, member forces, and reactions in a variety of structural systems.
• Modify existing Mathcad Routines or write new Mathcad routines for use in matrix analysis of structures.
• Explain the principles behind automated analysis of structures using large-scale commercial programs (e.g. SAP2000, RISA-3D, and STAAD). Note, however, that these programs will not be used in the class.
• Formulate the stiffness matrices of truss, beam, and frame elements.
• Understand how the principles of virtual work relate to the direct stiffness method of structural analysis.
• Use the direct stiffness method to find nodal displacements, member forces, and reactions in the structural systems.
• Determine the member forces in a structural system caused by temperature effects or foundation settlement.
• Model a structure with elastic supports, inclined supports, or member end releases (hinges).
• Perform a structural analysis of a realistic structure that might be encountered in professional practice.
• Explain the principles behind automated analysis of structures using large-scale commercial programs (e.g. SAP2000, ETABS, PERFORM, RISA-3D, and STAAD).