<p>Course CE 579 – Structural Stability And Design Instructor A. H. Varma Time MWF 11:30 a.m. Catalog Fundamentals of stability, second order differential equations for structural Description: members, elastic buckling of beams, columns, and beam-columns, inelastic buckling of structural members, elastic buckling of frames, second-order nonlinear frame analysis, elastic and inelastic buckling of plate, design criteria Course Text: Structural Stability – Theory and Implementation By W.F. Chen and E.M. Lui Prentice Hall, Upper Saddle River, New Jersey 07458 Course 1. Fundamentals of Stability a. Concepts vs. definition Outline: b. Buckling vs. stability c. Types of instability behavior d. Methods of stability analysis e. Imperfections, snap-through, and asymmetric buckling 2. Second Order Differential Equations for Structural Members a. First-order differential equation for bending b. First-order differential equations for torsion c. Cross-sectional stress calculations d. Second-order coupled differential equations - derivation 3. Elastic Buckling of Structural Members a. Elastic buckling of beams b. Elastic buckling of columns: asymmetric, singly symmetric, doubly symmetric c. Elastic instability of beam-columns 4. Inelastic Buckling of Structural Members a. Inelastic stability of columns (Double modulus, Shanley) b. Numerical analysis of residual stresses and initial imperfection effects c. Development of column design curves d. Inelastic buckling of beams e. Development of beam design curves 5. Buckling of Frames a. Slope-deflection equations and stability functions b. Frame buckling analysis using slope deflection approach c. Frame buckling analysis by stiffness matrix method d. Eigenvalue and eigenvector analysis - numerical 6. Second-order Elastic Analysis of Frames a. Matrix formulation b. Newton Raphson Iteration Method c. Numerical Implementation and examples 7. AISC 2005 Specifications and current research a. Beam-columns – inelastic behavior and design b. Second order frame analysis and stability requirements c. Bracing stiffness requirements 8. Plate buckling a. Elastic and inelastic plate buckling b. Local buckling criteria for design 9. Energy and Numerical Methods (if time permits) a. Principle of Stationary Potential Energy b. Newmark’s method c. Numerical integration procedure</p><p>COURSE GRADING Homeworks – 25% Exam 1 – 25% Exam 2 – 25% Exam 3 – 25%</p>