Syllabus for Advanced Structural Analysis (고급구조해석)

 Curriculum NO. 457.649
Course NO.       

Title                   Advanced Structural Analysis
Lecturer            Ho-Kyung Kim
Credit                3-3-0

This course teaches a computer-assisted structural analysis with the emphasis on the direct stiffness matrix formulation. The discretized modeling concepts with 2D/3D truss and frame elements are provided. The assemblage of the global stiffness matrix and load vectors are explained and several solvers are introduced to obtain the displacement and member forces of structures. Some special modeling techniques can be covered including end release and rigid offset. During the coursework, a FORTRAN-based analysis program, named DIPSEE, is provided which can be applied to the static analysis of wire-frame structure with 3D truss and frame elements. The students are required to complete or modify the program with the basic knowledge obtained in the class. The analysis results by DIPSEE are requested to be verified by general purpose software such as Midas, SAP, and ABAQUS. The fundamental knowledge for the dynamic analysis is also covered so that the students learn how to calculate the natural frequencies and mode shapes of multi-DOF structures. Cable structures can be included in the coursework with the formulation of elastic catenary cable element. The calculation of buckling load and assessment of stability problem for elastic beam-column in steel structures is also covered. One term project is planning to be given at the end of the class.

The main goals of the course are:

1) Understanding a direct stiffness procedure in computer-assisted structural analysis

2) Developing programming skills and securing a own structural analysis program which can be extended to students' own master and doctoral research activity

3) Understanding modeling technologies of structures and increasing analysis capacity with general purpose structural analysis software

4) Understanding stability of steel structure and calculation of buckling loads

  Textbook & References

References : Matrix structural analysis, 2nd ed., Wiliam McGuire et al., 2000.
                  Computer-assisted structural analysis and modeling, M. Hoit, 1995.
                  Structural stability of steel, T.V. Galambos and A.E. Surovek, 2008.
Hand-out materials will be distributed in each class. 

Week Plan

 1 Week.   Course introduction
               DOF and equilibrium (1/2)
               - Conceptual modeling, Deflected shapes, Equilibrium equations
 2 Week.   DOF and equilibrium (2/2)
               - Equilibrium equations
               Formulation of stiffness matrices (1/2)
               - Virtual work theorem
               - Stiffness matrices for 2D/3D truss/frame elements
 3 Week.   Formulation of stiffness matrices (2/2)
               - Stiffness matrices for 2D/3D truss/frame elements
               - Direct stiffness assemblage
               Calculation of matrices (CAL90)
 4 Week.   Own programming practices (utilizing DIPSEE Fortran program)
               - Dynamic allocation array
               - Equation numbering
               - Truss and frame elements
               - Direct stiffness assemblage
 5 Week.   External loadings
               - Nodal and Span loadings
               - Temperature loadings and support settlements
               Mid-term (1) exam. (Discretization and direct stiffness procedure)
 6 Week.   Solvers
               - Gauss elimination
               - Bandwidth and numbering sequence
               - SYMSOL, BANSOL, COLSOL, Sparse solver
 7 Week.   Own programming practices (utilizing DIPSEE Fortran program)
               - Equation solver
               - Member force recovery
               Formulation of special modeling
               - End release, Rigid offset
 8 Week.   General purpose softwares
               - Midas, SAP, ABAQUS
               Realization of special modeling
               - End release, Rigid offset
 9 Week.   Cable structures (1/2)
               - Cable equations (Parabolic vs Catenary)
               - Equivalent modulus
               - Elastic catenary cable element
10 Week.  Cable structures (2/2)
               - Elastic catenary cable element
               Mid-term (2) exam. (Modeling, solution of equation and force recovery)
11 Week.  Dynamic analysis (1/2)
               - Motional equations for single and multi DOF structures
               - Eigenvalue analysis
12 Week.  Dynamic analysis (2/2)
               - Mass matrices (lumped, consistent and mass moment of inertia)
               - Free vibration analysis (Natural frequencies and mode shapes)
13 Week.  (Term projects) Actual modeling practices
               - Suspension bridge analysis
               - Configuration analysis of suspended cables
14 Week.  Elastic buckling of planar Frames
               - Calculation of buckling load of columns and frames
15 Week.  Final exam. (Cable equation, dynamic modeling, eigen analysis)
               Presentation of term projects and discussions 


A series of problems and computer programming works will be provided as homework. The due date of submission is the class starting time at the same day in next week, if not specified


Attendance-10%   Assignment-20%   Mid-term(1)-20%  
Mid-term(2)-20%   Final-20%   Term Proj.-10%