On successful completion of this subject, students should be able to:

1. Explain the buckling and vibration behaviours of structural components;
2. Derive the governing equations for the buckling and vibration of structural components;
3. Solve the governing equations analytically for buckling and vibration of beams, columns and plates;
4. Solve the governing equations numerically for buckling and vibration of beams, columns and plates;
5. Apply the buckling and vibration analysis to solve practical engineering problems.

1. Introduction to the buckling behaviour of structures; Governing equations for the buckling of columns;
2. Analytical solutions for simple column buckling cases;
3. Applications of buckling analysis of columns in structural design;
4. Introduction to the vibration behaviour of structures; Governing equations for the free vibration of beams;
5. Analytical solutions for simple beam free vibration cases;
6. Applications of vibration analysis of beams in engineering practices;
7. Introduction to the thin plate theory; Governing equations for the buckling of plates;
8. Analytical solutions for simple plate buckling cases;
9. Governing equations for the vibration of plates; analytical solutions for simple plate vibration cases;
10. Applications of buckling and vibration analysis of plates in engineering practices;
11. Numerical methods for buckling and vibration analysis of structures;
12. Analysis of complex buckling and vibration cases for beams, columns and plates by numerical methods.