Advanced Strength of Materials

• Stress-Strain Analysis:
  • Stress and strain, transformations, principal stresses, graphical representation by Mohr’s circles of biaxial and triaxial cases
  • generalized Hooke’s law including thermal strains
  • equations of equilibrium and compatibility
  • plane strain and plane stress problems
• Failure theories and limit analysis
• Euler critical loads for columns, curved beams, thick-walled cylinders and rotating disks, contact stresses, strain gauges and their application, stress concentrations, introductory fracture mechanics
• Energy Methods:
  • Strain energy principles
  • virtual work
  • Castigliano’s theorem
• Applications to cases of axial, bending, and torsional loadings
• Applications to statically indeterminate problems

Suggested Reading Materials

Advanced Strength & Applied Elasticity, 4th Edition
Ugural, Ansel, & Saul Fenster. Prentice Hall

Advanced Strength & Applied Stress Analysis, 2nd Edition
Budynas, R.G. McGraw-Hill, 1998.

Advanced Mechanics of Materials, 6th Edition
Boresi, A.P., and R.J. Schmidt, . John Wiley & Sons, 2003.