Materials/Structures

Instructor

Prof. Raul Radovitzky

Learning Objectives

16.01-16.04 Materials and Structures (PDF)

Textbooks

Buy at Amazon 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.

Buy at Amazon 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.

Featured Video Lecture

Additional Resources

Table Organization

Sample Lecture

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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 (This resource may not render correctly in a screen reader.PDF)
M2 Equilibrium of a Particle, System of Particles (Free-body Diagram) (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Sections 1.4-1.6. Problem M2 (PDF)

Solution M2 (This resource may not render correctly in a screen reader.PDF)
M3 Planar Force Systems, Equipollent Forces (PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Sections 1.6-1.7. Problem M3 (PDF)

Solution M3 (This resource may not render correctly in a screen reader.PDF)
M4 Support Reactions, Free-body Diagrams, Static Determinance, Other Situations, Determinate Systems (PDF) (This resource may not render correctly in a screen reader.PDF) (PDF) Crandall, Dahl, and Lardner. Sections 1.8-1.9. Problem M4 (PDF)

Solution M4 (This resource may not render correctly in a screen reader.PDF)
M5 Support Reactions, Free-body Diagrams, Static Determinance, Other Situations, Determinate Systems (cont.) (PDF) (This resource may not render correctly in a screen reader.PDF) (PDF) Crandall, Dahl, and Lardner. Sections 1.8-1.9. Problem M5 (PDF)

Solution M5 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)
M8 Statically Indeterminate Systems: Method of Analysis, 3 Great Principles, Examples; Summary (This resource may not render correctly in a screen reader.PDF) (This resource may not render correctly in a screen reader.PDF) (PDF) Crandall, Dahl, and Lardner. Sections 1.10-1.11, 2.1, 2.4, and 2.7. Problem M8 (PDF)

Solution M8 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)
Block 2 - Stress and Strain
M10 Indicial Notation, Rotation of Coordinates (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Section 4.1. Problem M10 (PDF)

Solution M10 (This resource may not render correctly in a screen reader.PDF)
M11 Definition of Stress, Extensional and Shear Stress, Notation, Plane Stress, Stress Equilibrium (This resource may not render correctly in a screen reader.PDF) (This resource may not render correctly in a screen reader.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) (This resource may not render correctly in a screen reader.PDF)   (PDF) Crandall, Dahl, and Lardner. Sections 4.5-4.7. Problem M12 (PDF)

Solution M12 (This resource may not render correctly in a screen reader.PDF)
M13 Quiz Discussion       Problem M13 (PDF)

Solution M13 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)
M15 Transformation of Strain, Mohr's Circle for Strain, Principal Strains, Extreme Shear Strains, Summary, Indicial Notation Revisited (PDF) (This resource may not render correctly in a screen reader.PDF) (PDF) Crandall, Dahl, and Lardner. Sections 4.11-4.13, (4.14), and 4.15. Problem M15 (PDF)

Solution M15 (This resource may not render correctly in a screen reader.PDF)
M16 Uniaxial Stress-Strain (PDF) (This resource may not render correctly in a screen reader.PDF) (This resource may not render correctly in a screen reader.PDF) Crandall, Dahl, and Lardner. Sections 2.3, 5.1-5.2. Problem M16 (PDF)

Solution M16 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)
M22 Stress-Strain Relations, Anisotropy, Orthotropy, Measurements     Crandall, Dahl, and Lardner. Section 5.6. Problem M22 (PDF)

Solution M22 (This resource may not render correctly in a screen reader.PDF)
M23 Stress-Strain Relations, Anisotropy, Orthotropy, Measurements (cont.)     Crandall, Dahl, and Lardner. Section 5.6. Problem M23 (PDF)

Solution M23 (This resource may not render correctly in a screen reader.PDF)
M24 Engineering Notation       Problem M24 (PDF)

Solution M24 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF) (This resource may not render correctly in a screen reader.PDF) (PDF)   Problem M1 (PDF)

Solution M1 (This resource may not render correctly in a screen reader.PDF)
M2 Statics of Beams (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF)   Problem M2 (PDF)

Solution M2 (This resource may not render correctly in a screen reader.PDF)
M3 Shear Forces and Bending Moments in Beams (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF)   Problem M3 (PDF)

Solution M3 (This resource may not render correctly in a screen reader.PDF)
M4 Simple Beam Theory (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF)   Problem M4 (PDF)

Solution M4 (This resource may not render correctly in a screen reader.PDF)
M5 Simple Beam Theory (cont.) (This resource may not render correctly in a screen reader.PDF) (PDF) (This resource may not render correctly in a screen reader.PDF) Crandall, Dahl, and Lardner. Sections 7.2-7.6. Problem M5 (PDF)

Solution M5 (This resource may not render correctly in a screen reader.PDF)
M6 Shear Stresses in Simple Beam Theory (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Section 7.6. Problem M6 (PDF)

Solution M6 (This resource may not render correctly in a screen reader.PDF)
M7 Examples and Applications of Beam Theory (This resource may not render correctly in a screen reader.PDF) (This resource may not render correctly in a screen reader.PDF) (PDF) Crandall, Dahl, and Lardner. Sections 8.1-8.3. Problem M7 (PDF)

Solution M7 (This resource may not render correctly in a screen reader.PDF)
M8 Application of Simple Beam Theory: Discontinuous Loading and Statically Indeterminate Structures (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Sections 3.4, 3.6, and 8.3. Problem M8 (PDF)

Solution M8 (This resource may not render correctly in a screen reader.PDF)
M9 Shafts: Torsion of Circular Shafts (PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Sections 6.2, 6.3. Problem M9 (PDF)

Solution M9 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)
M11 Introduction to Structural Instability (cont.) (PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Sections 9.2, 9.3. Problem M11 (PDF)

Solution M11 (This resource may not render correctly in a screen reader.PDF)
M12 Buckling of Simple Columns (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Section 9.4. Problem M12 (PDF)

Solution M12 (This resource may not render correctly in a screen reader.PDF)
M13 Buckling of Simple Columns (cont.) (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Section 9.4. Problem M13 (PDF)

Solution M13 (This resource may not render correctly in a screen reader.PDF)
M14 Exam Review       Problem M14 (PDF)

Solution M14 (This resource may not render correctly in a screen reader.PDF)
Block 3 - Materials / Structural Integrity
M15 Yielding and Plasticity (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Ashby, and Jones. Chapters 8, 11. Problem M15 (PDF)

Solution M15 (This resource may not render correctly in a screen reader.PDF)
M16 Origins of Plasticity, Alloying (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Ashby, and Jones. Chapters 9-10. Problem M16 (PDF)

Solution M16 (This resource may not render correctly in a screen reader.PDF)
M17 Yield of Structures (This resource may not render correctly in a screen reader.PDF) (PDF) (PDF) Crandall, Dahl, and Lardner. Section 3.11. Problem M17 (PDF)

Solution M17 (This resource may not render correctly in a screen reader.PDF)
M18 Fast Fracture and Toughness (This resource may not render correctly in a screen reader.PDF) (PDF) (This resource may not render correctly in a screen reader.PDF) Ashby, and Jones. Chapters 13-14. Problem M18 (PDF)

Solution M18 (This resource may not render correctly in a screen reader.PDF)
M19 Fatigue and Fracture (PDF) (PDF) (PDF) Ashby, and Jones. Chapters 15-16. Problem M19 (PDF)

Solution M19 (This resource may not render correctly in a screen reader.PDF)
M20 Other Factors in Materials Selection and Design (PDF) (PDF) (PDF) Ashby, and Jones. Chapters 17-27. Problem M20 (PDF)

Solution M20 (This resource may not render correctly in a screen reader.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 (This resource may not render correctly in a screen reader.PDF)