16-Mec-A7 - Advanced Strength of Materials (Recorded)

Advanced Strength of Materials/ 98-Mar-A5/ 16-Mec-A7

Advanced Strength of Materials delves deep into the behavior of materials under various loading conditions. You'll explore stress-strain relationships, including complex scenarios involving multiple forces. The course covers stress transformations and principal stresses, using tools like Mohr's circles for visualization.

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.

Textbooks (most recent edition is recommended):

• Ugural, Ansel, & Saul Fenster, Advanced Strength & Applied Elasticity, Prentice Hall.
• Boresi, A.P., and R.J. Schmidt, Advanced Mechanics of Materials, John Wiley & Sons.

WHAT YOU'LL LEARN

• Analyze stress and strain in various engineering structures and components.
• Apply stress transformation techniques and construct Mohr's circles for biaxial and triaxial stress states.
• Utilize Hooke's law to relate stress and strain, including thermal effects.
• Solve plane stress and plane strain problems using equilibrium and compatibility equations.
• Evaluate structural integrity using failure theories and limit analysis.
• Calculate critical loads for columns and analyze stress in curved beams, thick-walled cylinders, and rotating disks.
• Assess contact stresses and stress concentrations in mechanical components.
• Apply strain gauge techniques for experimental stress analysis.