Instructor
Prof. Raul Radovitzky
Learning Objectives
16.01-16.04 Materials and Structures (PDF)
Textbooks
Ashby, M. F., and D. R. H. Jones. Engineering Materials 1: An Introduction to Properties, Applications and Design. 3rd ed. Boston, MA: Elsevier, 2005. ISBN: 0750663804.
Crandall, S. H., N. C. Dahl, and T. J. Lardner. An Introduction to the Mechanics of Solids: Second Edition with SI Units. New York, NY: McGraw-Hill, 1999. ISBN: 0072380411.
Note: The materials selection charts shown in some of the notes and in the video (from the Ashby and Jones book) are courtesy of Michael Ashby.
Sample Lecture
Sample Lecture M15: Yielding and Plasticity
Video Note
The materials selection graph shown in the video (from the Ashby and Jones book) is courtesy of Michael Ashby.
16.01-16.02
| LEC # | TOPICS | CONCEPT QUESTIONS | MUDDY POINTS | READINGS | ASSIGNMENTS / SOLUTIONS |
|---|---|---|---|---|---|
| Block 1 - Statics | |||||
| M1 | Introduction: Why Materials and Structures? – 3 Great Principles (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.1-1.3. |
Problem M1 (PDF)
Solution M1 (PDF) |
| M2 | Equilibrium of a Particle, System of Particles (Free-body Diagram) (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.4-1.6. |
Problem M2 (PDF)
Solution M2 (PDF) |
| M3 | Planar Force Systems, Equipollent Forces (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.6-1.7. |
Problem M3 (PDF)
Solution M3 (PDF) |
| M4 | Support Reactions, Free-body Diagrams, Static Determinance, Other Situations, Determinate Systems (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.8-1.9. |
Problem M4 (PDF)
Solution M4 (PDF) |
| M5 | Support Reactions, Free-body Diagrams, Static Determinance, Other Situations, Determinate Systems (cont.) (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.8-1.9. |
Problem M5 (PDF)
Solution M5 (PDF) |
| M6 | Trusses, Truss Analysis: Method of Joints, Method of Sections (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 1.9. |
Problem M6 (PDF)
Solution M6 (PDF) |
|
| M7 | Trusses, Truss Analysis: Method of Joints, Method of Sections (cont.) | (PDF) | Crandall, Dahl, and Lardner. Section 1.9. |
Problem M7 (PDF)
Solution M7 (PDF) |
|
| M8 | Statically Indeterminate Systems: Method of Analysis, 3 Great Principles, Examples; Summary (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.10-1.11, 2.1, 2.4, and 2.7. |
Problem M8 (PDF)
Solution M8 (PDF) |
| M9 | Statically Indeterminate Systems: Method of Analysis, 3 Great Principles, Examples; Summary (cont.) (PDF - 1.1 MB) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 1.10-1.11, 2.1, 2.4, and 2.7. |
Problem M9 (PDF)
Solution M9 (PDF) |
| Block 2 - Stress and Strain | |||||
| M10 | Indicial Notation, Rotation of Coordinates (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 4.1. |
Problem M10 (PDF)
Solution M10 (PDF) |
| M11 | Definition of Stress, Extensional and Shear Stress, Notation, Plane Stress, Stress Equilibrium | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 4.2-4.4. | Problem M11 (PDF) |
| M12 | Stress Transformation and Mohr’s Circle, Principal Stresses, Extreme Shear Stress(es) (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 4.5-4.7. |
Problem M12 (PDF)
Solution M12 (PDF) |
|
| M13 | Quiz Discussion |
Problem M13 (PDF)
Solution M13 (PDF) |
|||
| M14 | Definition of Strain, Extensional and Shear Strain, Strain-Displacement Relations, Compatibility (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 4.8-4.10. |
Problem M14 (PDF)
Solution M14 (PDF) |
| M15 | Transformation of Strain, Mohr’s Circle for Strain, Principal Strains, Extreme Shear Strains, Summary, Indicial Notation Revisited (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 4.11-4.13, (4.14), and 4.15. |
Problem M15 (PDF)
Solution M15 (PDF) |
| M16 | Uniaxial Stress-Strain (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 2.3, 5.1-5.2. |
Problem M16 (PDF)
Solution M16 (PDF) |
| Block 3 - Materials and Elasticity | |||||
| M17 | Material Properties, Classes of Materials (PDF - 1.4 MB) | (PDF) | (PDF) | Ashby, and Jones. Chapters 1-2. |
Problem M17 (PDF)
Solution M17 (PDF) |
| M18 | Bulk Material Properties (PDF - 1.4 MB) |
Crandall, Dahl, and Lardner. Sections 5.3-5.4.
Ashby, and Jones. Chapter 3. |
Problem M18 (PDF)
Solution M18 (PDF) |
||
| M19 | Origin of Elastic Properties, Structures of Materials: Atomic Bonding, Packing of Atoms, Crystals, Polymers (PDF - 1.4 MB) | (PDF) | Ashby, and Jones. Chapters 4-5. |
Problem M19 (PDF)
Solution M19 (PDF) |
|
| M20 | Estimate of Moduli, Composites (PDF - 1.4 MB) | (PDF) | (PDF) |
Crandall, Dahl, and Lardner. Section 5.10.
Ashby, and Jones. Chapter 6. |
Problem M20 (PDF)
Solution M20 (PDF) |
| M21 | Modulus Limited Design, Materials Selection, Measurement of Elastic Properties (PDF - 1.4 MB) | Ashby, and Jones. Chapter 7. |
Problem M21 (PDF)
Solution M21 (PDF) |
||
| M22 | Stress-Strain Relations, Anisotropy, Orthotropy, Measurements | Crandall, Dahl, and Lardner. Section 5.6. |
Problem M22 (PDF)
Solution M22 (PDF) |
||
| M23 | Stress-Strain Relations, Anisotropy, Orthotropy, Measurements (cont.) | Crandall, Dahl, and Lardner. Section 5.6. |
Problem M23 (PDF)
Solution M23 (PDF) |
||
| M24 | Engineering Notation |
Problem M24 (PDF)
Solution M24 (PDF) |
|||
| M25 | General Hooke’s Law and The Equations of Elasticity, Boundary Conditions, Solution |
Problem M25 (PDF)
Solution M25 (PDF) |
|||
16.03-16.04
| LEC # | TOPICS | CONCEPT QUESTIONS | MUDDY POINTS | READINGS | ASSIGNMENTS / SOLUTIONS |
|---|---|---|---|---|---|
| Block 1 - Slender Structures | |||||
| M1 | Slender Structures (PDF) | (PDF) | (PDF) |
Problem M1 (PDF)
Solution M1 (PDF) |
|
| M2 | Statics of Beams (PDF) | (PDF) | (PDF) |
Problem M2 (PDF)
Solution M2 (PDF) |
|
| M3 | Shear Forces and Bending Moments in Beams (PDF) | (PDF) | (PDF) |
Problem M3 (PDF)
Solution M3 (PDF) |
|
| M4 | Simple Beam Theory (PDF) | (PDF) | (PDF) |
Problem M4 (PDF)
Solution M4 (PDF) |
|
| M5 | Simple Beam Theory (cont.) (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 7.2-7.6. |
Problem M5 (PDF)
Solution M5 (PDF) |
| M6 | Shear Stresses in Simple Beam Theory (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 7.6. |
Problem M6 (PDF)
Solution M6 (PDF) |
| M7 | Examples and Applications of Beam Theory (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 8.1-8.3. |
Problem M7 (PDF)
Solution M7 (PDF) |
| M8 | Application of Simple Beam Theory: Discontinuous Loading and Statically Indeterminate Structures (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 3.4, 3.6, and 8.3. |
Problem M8 (PDF)
Solution M8 (PDF) |
| M9 | Shafts: Torsion of Circular Shafts (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 6.2, 6.3. |
Problem M9 (PDF)
Solution M9 (PDF) |
| Block 2 - Structural Instability | |||||
| M10 | Introduction to Structural Instability (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 9.2, 9.3. |
Problem M10 (PDF)
Solution M10 (PDF) |
| M11 | Introduction to Structural Instability (cont.) (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Sections 9.2, 9.3. |
Problem M11 (PDF)
Solution M11 (PDF) |
| M12 | Buckling of Simple Columns (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 9.4. |
Problem M12 (PDF)
Solution M12 (PDF) |
| M13 | Buckling of Simple Columns (cont.) (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 9.4. |
Problem M13 (PDF)
Solution M13 (PDF) |
| M14 | Exam Review |
Problem M14 (PDF)
Solution M14 (PDF) |
|||
| Block 3 - Materials / Structural Integrity | |||||
| M15 | Yielding and Plasticity (PDF) | (PDF) | (PDF) | Ashby, and Jones. Chapters 8, 11. |
Problem M15 (PDF)
Solution M15 (PDF) |
| M16 | Origins of Plasticity, Alloying (PDF) | (PDF) | (PDF) | Ashby, and Jones. Chapters 9-10. |
Problem M16 (PDF)
Solution M16 (PDF) |
| M17 | Yield of Structures (PDF) | (PDF) | (PDF) | Crandall, Dahl, and Lardner. Section 3.11. |
Problem M17 (PDF)
Solution M17 (PDF) |
| M18 | Fast Fracture and Toughness (PDF) | (PDF) | (PDF) | Ashby, and Jones. Chapters 13-14. |
Problem M18 (PDF)
Solution M18 (PDF) |
| M19 | Fatigue and Fracture (PDF) | (PDF) | (PDF) | Ashby, and Jones. Chapters 15-16. |
Problem M19 (PDF)
Solution M19 (PDF) |
| M20 | Other Factors in Materials Selection and Design (PDF) | (PDF) | (PDF) | Ashby, and Jones. Chapters 17-27. |
Problem M20 (PDF)
Solution M20 (PDF) |
Additional Resources
References
The following books are useful references:
Ashby, M. F., and D. R. H. Jones. Engineering Materials 2: An Introduction to Microstructures, Processing and Design. 3rd ed. Boston, MA: Elsevier, 2005. ISBN: 0750663812. (Relevant topics: Polymers, Metal Alloys)
Ashby, M. F. Materials Selection in Mechanical Design. Boston, MA: Elsevier, 2005. ISBN: 0750661682. (Relevant topics: Materials Selection and Design)
Bickford, William B. Mechanics of Solids: Concepts and Applications. New York, NY: McGraw-Hill, 1997. ISBN: 0256192715.
Quiz Handouts
A handout of relevant equations and figures is distributed with each quiz. Students are encouraged to prepare for the quiz by studying concepts rather than memorizing formulae.
16.01-16.02 Quiz 4 Handout (PDF)
16.03-16.04 Quiz 1 Handout (PDF)
16.03-16.04 Quiz 3 Handout (PDF)
