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 » MIT OpenCourseWare » Aeronautics and Astronautics » Unified Engineering I, II, III, & IV, Fall 2003 - Spring 2004

Materials/Structures

RealOne™ Player software is required to run the .rm files in this section.

Instructor

Prof. S. Mark Spearing

Learning Objectives

16.01-16.04 Materials and Structures (PDF)

Textbooks

Ashby, M. F., and D. R. H. Jones. Engineering Materials. Vol. 1. New York: Pergamon Press, 1980.

Crandall, S.H., N.C. Dahl and T.J. Lardner. An Introduction to the Mechanics of Solids: SI Units. New York: McGraw-Hill, 1978.

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

LEC # TOPICS CONCEPT QUESTIONS MUDDY POINTS READINGS ASSIGNMENTS / SOLUTIONS
16.01-16.02, FALL 2003
BLOCK 1 - STATICS
Week 6
M1 Introduction: Why Materials and Structures? – 3 Great Principles (PDF) M1 Concept Questions (PDF) M1 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.1-1.3 Problem M1 (PDF)
Solution M1 (PDF)
M2 Equilibrium of a Particle, System of Particles (Freebody Diagram) (PDF) M2 Concept Questions (PDF) M2 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.4-1.6 Problem M2 (PDF)
Solution M2 (PDF)
Week 7
M3 Planar Force Systems, Equipollent Forces (PDF) M3 Concept Questions (PDF) M3 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.6-1.7 Problem M3 (PDF)
Solution M3 (PDF)
M4 Support Reactions, Freebody Diagrams, Static Determinance, Other Situations, Determinate Systems (PDF) M4 Concept Questions (PDF) M4 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.8-1.9 Problem M4 (PDF)
Solution M4 (PDF)
Week 8
M5 Support Reactions, Freebody Diagrams, Static Determinance, Other Situations, Determinate Systems (cont.) (PDF) M5 Concept Questions (PDF) M5 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.8-1.9 Problem M5 (PDF)
Solution M5 (PDF)
M6 Trusses, Truss Analysis: Method of Joints, Method of Sections (PDF) M6 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.9 Problem M6 (PDF)
Solution M6 (PDF)
Week 9
M7 Trusses, Truss Analysis: Method of Joints, Method of Sections (cont.) M7 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.9 Problem M7 (PDF)
Solution M7 (PDF)
M8 Statically Indeterminate Systems: Method of Analysis, 3 Great Principles, Examples; Summary (PDF) M8 Concept Questions (PDF) M8 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.10-1.11, 2.1, 2.4, 2.7 Problem M8 (PDF)
Solution M8 (PDF)
Week 10
M9 Statically Indeterminate Systems: Method of Analysis, 3 Great Principles, Examples; Summary (cont.) (PDF - 1.1 MB) M9 Concept Questions (PDF) M9 Mud (PDF) Crandall, Dahl and Lardner, sec. 1.10-1.11, 2.1, 2.4, 2.7 Problem M9 (PDF)
Solution M9 (PDF)
BLOCK 2 - STRESS AND STRAIN
M10 Indicial Notation, Rotation of Coordinates (PDF) M10 Concept Questions (PDF) M10 Mud (PDF) Crandall, Dahl and Lardner, sec. 4.1 Problem M10 (PDF)
Solution M10 (PDF)
M11 Definition of Stress, Extensional and Shear Stress, Notation, Plane Stress, Stress Equilibrium M11 Concept Questions (PDF) M11 Mud (PDF) Crandall, Dahl and Lardner, sec. 4.2-4.4 Problem M11 (PDF)
Week 11
M12 Stress Transformation and Mohr's Circle, Principal Stresses, Extreme Shear Stress(es) (PDF) M12 Mud (PDF) Crandall, Dahl and Lardner, sec. 4.5-4.7 Problem M12 (PDF)
Solution M12 (PDF)
M13 Quiz Discussion Problem M13 (PDF)
Solution M13 (PDF)
Week 12
M14 Definition of Strain, Extensional and Shear Strain, Strain-Displacement Relations, Compatibility (PDF) M14 Concept Questions (PDF) M14 Mud (PDF) Crandall, Dahl and Lardner, sec. 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) M15 Concept Questions (PDF) M15 Mud (PDF) Crandall, Dahl and Lardner, sec. 4.11-4.13, (4.14), 4.15 Problem M15 (PDF)
Solution M15 (PDF)
M16 Uniaxial Stress-Strain (PDF) M16 Concept Questions (PDF) M16 Mud (PDF) Crandall, Dahl and Lardner, sec. 2.3, 5.1-5.2 Problem M16 (PDF)
Solution M16 (PDF)
BLOCK 3 - MATERIALS AND ELASTICITY
Week 13
M17 Material Properties, Classes of Materials (PDF - 1.4 MB) M17 Concept Questions (PDF) M17 Mud (PDF) Ashby and Jones, ch. 1-2 Problem M17 (PDF)
Solution M17 (PDF)
M18 Bulk Material Properties (PDF - 1.4 MB) Crandall, Dahl and Lardner, sec. 5.3-5.4,
Ashby and Jones, ch. 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) M19 Mud (PDF) Ashby and Jones, ch. 4-5 Problem M19 (PDF)
Solution M19 (PDF)
Week 14
M20 Estimate of Moduli, Composites (PDF - 1.4 MB) M20 Concept Questions (PDF) M20 Mud (PDF) Crandall, Dahl and Lardner, sec. 5.10,
Ashby and Jones, ch. 6		 Problem M20 (PDF)
Solution M20 (PDF)
M21 Modulus Limited Design, Materials Selection, Measurement of Elastic Properties (PDF - 1.4 MB) Ashby and Jones, ch. 7 Problem M21 (PDF)
Solution M21 (PDF)
M22 Stress-Strain Relations, Anisotropy, Orthotropy, Measurements Crandall, Dahl and Lardner, sec. 5.6 Problem M22 (PDF)
Solution M22 (PDF)
M23 Stress-Strain Relations, Anisotropy, Orthotropy, Measurements (cont.) Crandall, Dahl and Lardner, sec. 5.6 Problem M23 (PDF)
Solution M23 (PDF)
Week 15
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, SPRING 2004
BLOCK 1 - SLENDER STRUCTURES
Week 1
M1
Slender Structures (PDF - 2.0 MB)
 M1 Concept Questions (PDF) M1 Mud (PDF)
 
 Problem M1 (PDF)
Solution M1 (PDF)
M2
Statics of Beams (PDF - 2.0 MB)
 M2 Concept Questions (PDF) M2 Mud (PDF)
 
 Problem M2 (PDF)
Solution M2 (PDF)
M3
Shear Forces and Bending Moments in Beams (PDF - 2.0 MB)
 M3 Concept Questions (PDF) M3 Mud (PDF) Problem M3 (PDF)
Solution M3 (PDF)
Week 2
M4
Simple Beam Theory (PDF - 2.0 MB)
 M4 Concept Questions (PDF) M4 Mud (PDF)
 
 Problem M4 (PDF)
Solution M4 (PDF)
M5 Simple Beam Theory (cont.) (PDF - 2.0 MB) M5 Concept Questions (PDF) M5 Mud (PDF)

Crandall, Dahl and Lardner, sec. 7.2-7.6

 Problem M5 (PDF)
Solution M5 (PDF)
M6
Shear Stresses in Simple Beam Theory (PDF - 2.0 MB)
 M6 Concept Questions (PDF) M6 Mud (PDF)

Crandall, Dahl and Lardner, sec. 7.6

 Problem M6 (PDF)
Solution M6 (PDF)
M7
Examples and Applications of Beam Theory (PDF - 2.0 MB)
 M7 Concept Questions (PDF) M7 Mud (PDF)

Crandall, Dahl and Lardner, sec. 8.1-8.3

 Problem M7 (PDF)
Solution M7 (PDF)
Week 3
M8
Application of Simple Beam Theory: Discontinuous Loading and Statically Indeterminate Structures (PDF - 2.0 MB)
 M8 Concept Questions (PDF) M8 Mud (PDF)

Crandall, Dahl and Lardner, sec. 3.4, 3.6, 8.3

 Problem M8 (PDF)
Solution M8 (PDF)
M9
Shafts: Torsion of Circular Shafts (PDF)
 M9 Concept Questions (PDF) M9 Mud (PDF)

Crandall, Dahl and Lardner, sec. 6.2, 6.3

 Problem M9 (PDF)
Solution M9 (PDF)
BLOCK 2 - STRUCTURAL INSTABILITY
M10
Introduction to Structural Instability (PDF)
 M10 Concept Questions (PDF) M10 Mud (PDF)

Crandall, Dahl and Lardner, sec. 9.2, 9.3

 Problem M10 (PDF)
Solution M10 (PDF)
Week 4
M11
Introduction to Structural Instability (cont.) (PDF)
 M11 Concept Questions (PDF) M11 Mud (PDF)

Crandall, Dahl and Lardner, sec. 9.2, 9.3

 Problem M11 (PDF)
Solution M11 (PDF)
M12
Buckling of Simple Columns (PDF - 1.0 MB)
 M12 Concept Questions (PDF) M12 Mud (PDF)

Crandall, Dahl and Lardner, sec. 9.4

 Problem M12 (PDF)
Solution M12 (PDF)
M13
Buckling of Simple Columns (cont.) (PDF - 1.0 MB)
 M13 Concept Questions (PDF) M13 Mud (PDF)

Crandall, Dahl and Lardner, sec. 9.4

 Problem M13 (PDF)
Solution M13 (PDF)
M14
Exam Review
 Problem M14 (PDF)
Solution M14 (PDF)
BLOCK 3 - MATERIALS / STRUCTURAL INTEGRITY
Week 5
M15

Yielding 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.

 M15 Concept Questions (PDF) M15 Mud (PDF)

Ashby and Jones, ch. 8, 11

 Problem M15 (PDF)
Solution M15 (PDF)
M16
Origins of Plasticity, Alloying (PDF)
 M16 Concept Questions (PDF) M16 Mud (PDF)

Ashby and Jones, ch. 9-10

 Problem M16 (PDF)
Solution M16 (PDF)
M17
Yield of Structures (PDF)
 M17 Concept Questions (PDF) M17 Mud (PDF)

Crandall, Dahl and Lardner, sec. 3.11

 Problem M17 (PDF)
Solution M17 (PDF)
M18
Fast Fracture and Toughness (PDF)
 M18 Concept Questions (PDF) M18 Mud (PDF)

Ashby and Jones, ch. 13-14

 Problem M18 (PDF)
Solution M18 (PDF)
Week 6
M19
Fatigue and Fracture (PDF)
 M19 Concept Questions (PDF) M19 Mud (PDF)

Ashby and Jones, ch. 15-16

 Problem M19 (PDF)
Solution M19 (PDF)
M20
Other Factors in Materials Selection and Design (PDF)
 M20 Concept Questions (PDF) M20 Mud (PDF)

Ashby and Jones, ch. 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. Vol. 2. Pergamon Press, 1986. (Relevant topics: polymers, metal alloys)

Ashby, M. F. Materials Selection in Mechanical Design. Pergamon Press, 1992. (Relevant topics: materials selection and design)

 Bickford, William B. Mechanics of Solids: Concepts and Applications. McGraw-Hill, 1997.

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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