MECHANICS OF
MATERIALS
David Roylance
Massachusetts Institute of Technology
,Mechanics of Materials (Roylance)
,This text is disseminated via the Open Education Resource (OER) LibreTexts Project (https://LibreTexts.org) and like the
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Pilot Project, the California Education Learning Lab, the UC Davis Office of the Provost, the UC Davis Library, the California
State University Affordable Learning Solutions Program, and Merlot. This material is based upon work supported by the National
Science Foundation under Grant No. 1246120, 1525057, and 1413739.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not
necessarily reflect the views of the National Science Foundation nor the US Department of Education.
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This text was compiled on 08/19/2026
, TABLE OF CONTENTS
Licensing
1: Tensile Response of Materials
1.1: Introduction to Elastic Response
1.2: Atomistics of Elasticity
1.3: Introduction to Composites
1.4: Stress-Strain Curves
2: Simple Tensile and Shear Structures
2.1: Trusses
2.2: Pressure Vessels
2.3: Shear and Torsion
3: General Concepts of Stress and Strain
3.1: Kinematics
3.2: Equilibrium
3.3: Tensor Transformations
3.4: Constitutive Relations
4: Bending
4.1: Shear and Bending Moment Diagrams
4.2: Stresses in Beams
4.3: Beam Displacements
4.4: Laminated Composite Plates
5: General Stress Analysis
5.1: Closed-Form Solutions
5.2: Experimental Solutions
5.3: Finite Element Analysis
5.4: Linear Viscoelasticity
6: Yield and Fracture
6.1: Yield and Plastic Flow
6.2: Dislocation Basis of Yield and Creep
6.3: Statistics of Fracture
6.4: Introduction to Fracture Mechanics
6.5: Fatigue
7: Appendices
7.1: Material Properties
7.2: Matrix and Index Notation
7.3: List of Symbols
iii
MATERIALS
David Roylance
Massachusetts Institute of Technology
,Mechanics of Materials (Roylance)
,This text is disseminated via the Open Education Resource (OER) LibreTexts Project (https://LibreTexts.org) and like the
thousands of other texts available within this powerful platform, it is freely available for reading, printing, and "consuming."
The LibreTexts mission is to bring together students, faculty, and scholars in a collaborative effort to provide an accessible,
and comprehensive platform that empowers our community to develop, curate, adapt, and adopt openly licensed resources and
technologies; through these efforts we can reduce the financial burden born from traditional educational resource costs, ensuring
education is more accessible for students and communities worldwide.
Most, but not all, pages in the library have licenses that may allow individuals to make changes, save, and print this book. Carefully
consult the applicable license(s) before pursuing such effects. Instructors can adopt existing LibreTexts texts or Remix them to
quickly build course-specific resources to meet the needs of their students. Unlike traditional textbooks, LibreTexts’ web based
origins allow powerful integration of advanced features and new technologies to support learning.
LibreTexts is the adaptable, user-friendly non-profit open education resource platform that educators trust for creating,
customizing, and sharing accessible, interactive textbooks, adaptive homework, and ancillary materials. We collaborate with
individuals and organizations to champion open education initiatives, support institutional publishing programs, drive curriculum
development projects, and more.
The LibreTexts libraries are Powered by NICE CXone Expert and was supported by the Department of Education Open Textbook
Pilot Project, the California Education Learning Lab, the UC Davis Office of the Provost, the UC Davis Library, the California
State University Affordable Learning Solutions Program, and Merlot. This material is based upon work supported by the National
Science Foundation under Grant No. 1246120, 1525057, and 1413739.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not
necessarily reflect the views of the National Science Foundation nor the US Department of Education.
Have questions or comments? For information about adoptions or adaptions contact or visit our main website
at https://LibreTexts.org.
The LibreTexts name, logo, and book covers are trademarked by LibreTexts, Inc. (a 501(c)(3) not-for-profit organization) and
protected against unauthorized use.
This text was compiled on 08/19/2026
, TABLE OF CONTENTS
Licensing
1: Tensile Response of Materials
1.1: Introduction to Elastic Response
1.2: Atomistics of Elasticity
1.3: Introduction to Composites
1.4: Stress-Strain Curves
2: Simple Tensile and Shear Structures
2.1: Trusses
2.2: Pressure Vessels
2.3: Shear and Torsion
3: General Concepts of Stress and Strain
3.1: Kinematics
3.2: Equilibrium
3.3: Tensor Transformations
3.4: Constitutive Relations
4: Bending
4.1: Shear and Bending Moment Diagrams
4.2: Stresses in Beams
4.3: Beam Displacements
4.4: Laminated Composite Plates
5: General Stress Analysis
5.1: Closed-Form Solutions
5.2: Experimental Solutions
5.3: Finite Element Analysis
5.4: Linear Viscoelasticity
6: Yield and Fracture
6.1: Yield and Plastic Flow
6.2: Dislocation Basis of Yield and Creep
6.3: Statistics of Fracture
6.4: Introduction to Fracture Mechanics
6.5: Fatigue
7: Appendices
7.1: Material Properties
7.2: Matrix and Index Notation
7.3: List of Symbols
iii
