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Materials Structures



Materials/Structures

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Instructor


Prof. Raul Radovitzky



Learning Objectives


16.01-16.04 Materials and Structures (PDF)



Textbooks


Amazon logo 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.

Amazon logo 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



16.01-16.02



LEC #TOPICSCONCEPT QUESTIONSMUDDY POINTSREADINGSASSIGNMENTS / SOLUTIONS
Block 1 - Statics
M1Introduction: 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)#
M2Equilibrium 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)#
M3Planar Force Systems, Equipollent Forces (PDF)(PDF)(PDF)Crandall, Dahl, and Lardner. Sections 1.6-1.7.Problem M3 (PDF)

Solution M3 (PDF)#
M4Support 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)#
M5Support 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)#
M6Trusses, Truss Analysis: Method of Joints, Method of Sections (PDF)(PDF)Crandall, Dahl, and Lardner. Section 1.9.Problem M6 (PDF)

Solution M6 (PDF)#
M7Trusses, Truss Analysis: Method of Joints, Method of Sections (cont.)(PDF)Crandall, Dahl, and Lardner. Section 1.9.Problem M7 (PDF)

Solution M7 (PDF)#
M8Statically 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)#
M9Statically 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
M10Indicial Notation, Rotation of Coordinates (PDF)#(PDF)(PDF)Crandall, Dahl, and Lardner. Section 4.1.Problem M10 (PDF)

Solution M10 (PDF)#
M11Definition 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)
M12Stress 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)#
M13Quiz DiscussionProblem M13 (PDF)

Solution M13 (PDF)#
M14Definition 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)#
M15Transformation 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)#
M16Uniaxial 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
M17Material Properties, Classes of Materials (PDF - 1.4 MB)(PDF)(PDF)Ashby, and Jones. Chapters 1-2.Problem M17 (PDF)

Solution M17 (PDF)#
M18Bulk 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)#
M19Origin 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)#
M20Estimate 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)#
M21Modulus Limited Design, Materials Selection, Measurement of Elastic Properties (PDF - 1.4 MB)Ashby, and Jones. Chapter 7.Problem M21 (PDF)

Solution M21 (PDF)#
M22Stress-Strain Relations, Anisotropy, Orthotropy, MeasurementsCrandall, Dahl, and Lardner. Section 5.6.Problem M22 (PDF)

Solution M22 (PDF)#
M23Stress-Strain Relations, Anisotropy, Orthotropy, Measurements (cont.)Crandall, Dahl, and Lardner. Section 5.6.Problem M23 (PDF)

Solution M23 (PDF)#
M24Engineering NotationProblem M24 (PDF)

Solution M24 (PDF)#
M25General Hooke's Law and The Equations of Elasticity, Boundary Conditions, SolutionProblem M25 (PDF)

Solution M25 (PDF)



16.03-16.04



LEC #TOPICSCONCEPT QUESTIONSMUDDY POINTSREADINGSASSIGNMENTS / SOLUTIONS
Block 1 - Slender Structures
M1Slender Structures (PDF)#(PDF)#(PDF)Problem M1 (PDF)

Solution M1 (PDF)#
M2Statics of Beams (PDF)#(PDF)(PDF)Problem M2 (PDF)

Solution M2 (PDF)#
M3Shear Forces and Bending Moments in Beams (PDF)#(PDF)(PDF)Problem M3 (PDF)

Solution M3 (PDF)#
M4Simple Beam Theory (PDF)#(PDF)(PDF)Problem M4 (PDF)

Solution M4 (PDF)#
M5Simple Beam Theory (cont.) (PDF)#(PDF)(PDF)#Crandall, Dahl, and Lardner. Sections 7.2-7.6.Problem M5 (PDF)

Solution M5 (PDF)#
M6Shear Stresses in Simple Beam Theory (PDF)#(PDF)(PDF)Crandall, Dahl, and Lardner. Section 7.6.Problem M6 (PDF)

Solution M6 (PDF)#
M7Examples and Applications of Beam Theory (PDF)#(PDF)#(PDF)Crandall, Dahl, and Lardner. Sections 8.1-8.3.Problem M7 (PDF)

Solution M7 (PDF)#
M8Application 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)#
M9Shafts: 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
M10Introduction to Structural Instability (PDF)(PDF)(PDF)Crandall, Dahl, and Lardner. Sections 9.2, 9.3.Problem M10 (PDF)

Solution M10 (PDF)#
M11Introduction to Structural Instability (cont.) (PDF)(PDF)(PDF)Crandall, Dahl, and Lardner. Sections 9.2, 9.3.Problem M11 (PDF)

Solution M11 (PDF)#
M12Buckling of Simple Columns (PDF)#(PDF)(PDF)Crandall, Dahl, and Lardner. Section 9.4.Problem M12 (PDF)

Solution M12 (PDF)#
M13Buckling of Simple Columns (cont.) (PDF)#(PDF)(PDF)Crandall, Dahl, and Lardner. Section 9.4.Problem M13 (PDF)

Solution M13 (PDF)#
M14Exam ReviewProblem M14 (PDF)

Solution M14 (PDF)#
Block 3 - Materials / Structural Integrity
M15Yielding and Plasticity (PDF)#

Video
(RM - 56K) (RM - 80K) (RM - 220K)

Video Note
The materials selection graph shown in the video (from the Ashby and Jones book) is courtesy of Michael Ashby.
(PDF)(PDF)Ashby, and Jones. Chapters 8, 11.Problem M15 (PDF)

Solution M15 (PDF)#
M16Origins of Plasticity, Alloying (PDF)#(PDF)(PDF)Ashby, and Jones. Chapters 9-10.Problem M16 (PDF)

Solution M16 (PDF)#
M17Yield of Structures (PDF)#(PDF)(PDF)Crandall, Dahl, and Lardner. Section 3.11.Problem M17 (PDF)

Solution M17 (PDF)#
M18Fast Fracture and Toughness (PDF)#(PDF)(PDF)#Ashby, and Jones. Chapters 13-14.Problem M18 (PDF)

Solution M18 (PDF)#
M19Fatigue and Fracture (PDF)(PDF)(PDF)Ashby, and Jones. Chapters 15-16.Problem M19 (PDF)

Solution M19 (PDF)#
M20Other 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)#


 








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