Materials/Structures

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.

Featured Video Lecture

Additional Resources

Table Organization

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)