Advanced Strength of Materials

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