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ME
448
Advanced Strength of Materials
Introduction to applied elasticity, thermoelasticity, energy methods, torsion, unsymmetrical bending, failure criteria, shear center, curved beams, beams on elastic foundation, bending of plates and shells, elastic stability.
Prerequisites:
0600204,0630351
0630448
(3-0-3)

Textbook:

A.C. Ugural and S.K. Fenster, Advanced Mechanics of Materials and Applied Elasticity, 5th Edition, Prentice Hall, 2011.

References:

  1. S. Timoshenko and J. Goodier, Theory of Elasticity, McGraw-Hill, 1970, 3rd Edition.
  2. A.P. Boresi, R.J. Schmidt and O.M. Sidebottom, Advanced Mechanics of Materials, 6th Edition, John Wiley & Sons, 2002.

Coordinator:

Solid Mechanics and Design (SMD) TAG

Prerequisites by Topics:

  1. Strength of Materials
  2. Elementary Partial Differential Equations
  3. Vector Analysis

Course Learning Objectives [^1]:

  1. Explain advanced topics in stress, strain, energy methods, material behavior and theories of failure, which are not covered in the first mechanics of materials course (1,7).
  2. Apply results of the classical topics of advanced mechanics of materials, such as: Torsion, nonsymmetrical bending, shear center, curved beams, beams on elastic foundations, and plates and shells, to the analysis and design of structures and systems. (1,2,7)

Topics:

  1. Theories of Stress and Strain
  2. Stress-Strain-Temperature Relations
  3. Failure Criteria
  4. Energy Methods
  5. Torsion Theory
  6. Nonsymmetrical Bending of Straight Beams
  7. Shear Center
  8. Curved Beams
  9. Beams on Elastic Foundations
  10. Introduction to Plates and Shells
  11. Elastic Stability

Evaluation Methods:

  1. Exams
  2. Quizzes
  3. Homework
  4. Project

Course Learning Outcomes:

Objective 1

1.1 Students will be able to analyze a three dimensional state of stress and strain, and compute the principal stresses and directions, and transform stresses and strains, aided by computer tools.

1.2 Students will be able to write the appropriate constitutive equations.

1.3 Students will be able to apply and compare the various theories of failure.

1.4 Students will be able to use energy methods to determine deflections.

Objective 2

2.1 Students will be able to analyze stress and strain in noncircular torsion members, especially members having thin wall sections.

2.2 Students will demonstrate how to compute stress and deflection in beams subjected to nonsymmetrical bending.

2.3 Students will be able to locate the shear center for some particular cases, especially for thin-wall cross sections.

2.4 Students will be able to find stresses and deflection in curved beams.

2.5 Students will be able to solve problems involving beams on elastic foundations.

2.6 Students will be able to analyze rectangular and circular plates.

2.7 Students will be able to determine buckling loads under general loading conditions.

2.8 Students will apply the stress-strain theories and failure criteria in Objective 1, to design members treated in the topics of Objective 2.

2.9 Students will use computer programs, where appropriate, to enhance the ability to analyze situations and solve problems more efficiently.

Course Classification

Student Outcomes Level Relevant Activities
H, M, L
1. An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. H Modeling of structural and machine components, and stress, strain and deflection analysis.
2. An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors. L Design analysis of beams and shafts.
3. An ability to communicate effectively with a range of audiences.
4. An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts.
5. An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.
6. An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
7. An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. L Self-reading assignments on material not covered in class.

[^1] Numbers in parentheses refer to the student outcomes.