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Engineering Online

CE 515 Advanced Strength of Materials

3 Credit Hours

Fundamentals of stress, strain and deformation, linear elastic theory, elastic bodies: isotropic, anistropic and orthotropic constitutive equations; St. Venant’s classical theory of torsion: non-circular bars, thin-walled open sections, thin-walled single-cell tubes, multi-cell thin-walled tubes; unsymmetric bending and transverse shear, shear flow and shear center in thin-walled sections, nonlinear beam, shear deformation of beams, curved beams; stress concentration, beams on elastic foundations, introduction to plasticity theory, and introduction to fracture mechanics.

Prerequisite

Undergraduate course on Mechanics of Solids

Course Objectives

By the end of the course, the students will be able to:

  • Analyze stresses and strains at a point: transform stresses and strains, determine principal stresses and strains and principal directions for 3D problems, and analyze strain rosette data.
  • Use the elastic and orthotropic constitutive equations for establishing relationship between 3D stresses and strains.
  • Use approximate theories of strength of materials for engineering stress and strain analyses of open and closed thin-walled sections subjected to torsion and unsymmetric bending.
  • Analyze curved beam, beams on elastic foundation, shear deformation of beams, and stress concentration problems.
  • Perform failure analysis using classical plasticity theory and fracture mechanics.

Course Requirements

Homework: Will be assigned weekly and due EXACTLY in one week from day of assignment. Late submission will not be accepted without a valid reason.

Exams: one test and one final

Textbook

A.P. Boresi, R.J. Schmidt, Advanced Mechanics of Materials, John Wiley & Sons, Inc., 6th Edition, $237.95. ISBN: 0471438812. (You may rent or purchase used book on the internet.)

Reference Books

  1. A.C. Ugural and S.K. Fenster, Advanced Strength and Applied Elasticity, Prentice Hall. ISBN: 0130473928.
  2. J.T. Oden and E.A. Ripperger, Mechanics of Elastic Structures, Hemisphere Publishing Corp.