ME 434 Advanced Strength Of Materials

 

Credit Structure: (3-0)3

Catalog Description:
Fundamental concepts and elementary elasticity. Review of failure theories. Nonsymmetrical bending of beams. Torsion of noncircular long prisms. Elastic stability and buckling of columns. Selected topics among energy methods, limit analysis, beam-columns, thermal stresses and residual stresses.

Course Objectives:
The aim of this course is to expand the background of mechanical designers or analysts with respect to understanding the internal behaviour of mechanical elements under the action of applied loads. The first course in the theory of strength of materials should be considered only as an initial framework for the study of stress analysis. In this course the fundamental aspects of theory of strength of materials in terms of the mathematical level of that of a junior to senior undergraduate student in engineering are covered. Practical stress-analysis problems and a sort of collection of known classical problems in strength of materials complete with solutions and analytical methods are included.

Prerequisites:
ME 206 or  consent of the department


Textbook(s):
None

References:

         (i) A.P. Boresi, R.J. Schmidt and I.M. Sidebottom, Advanced Mechanics of Materials, John Wiley Sons. Inc.

         (ii)  R.G. Budynas, Advanced Strength and Applied Stress Analysis, McGraw-Hill.

 Syllabus:
1.      FUNDAMENTAL CONCEPTS AND REVIEW OF ELASTICITY (2 weeks)

               1.1    State of stress

               1.2    State of strain

               1.3    Hooke’s law

               1.4    Strain energy

         2.   REVIEW OF FAILURE THEORIES (1 weeks)

               2.1    Failure theories for ductile materials

               2.2    Failure theories for brittle materials

         3.   NONSYMMETRICAL BENDING OF BEAMS (2 weeks)

               3.1    Principal moments of inertia

               3.2    Analysis of nonsymmetric bending

         4.   TORSION OF NONCIRCULARLONG PRISMS (2 weeks)

               4.1    Warping Function

               4.2    Soap Film analogy

         5.   ELASTIC STABILITY AND BUCKLING OF COLUMNS (3 weeks)

               5.1    Concept of elastic stability

               5.2    Buckling of columns with different end conditions

         6.   SELECTED TOPICS (4 weeks)

               6.1    Energy Methods

               6.2    Plasticity and limit analysis

               6.3    Beam columns

               6.4    Thermal and Residual Stresses

Laboratory Work:
None

Computer Usage
Students are expected to use computers if computer assignments are given
.

Category Content:

Mathematics and Basic Sciences                             0.0

Engineering Design                                                  1.0

Engineering Sciences                                               1.0

Humanities and Social Sciences                               0.0

Departmental                                                          1.0

Grading system:

Midterms:  %50

Homeworks, Projects, Computer Assignments, Attendance:  %15

Final Exam:  %35