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Audience
This text is evolved from lecture notes by the author for junior and senior students in the aerospace engineering curriculum at Virginia Tech. The subjects covered in the book presume some knowledge of statics, dynamics of rigid bodies, mechanics of deformable bodies, and mechanical vibrations. Several practice exercises in the text require programming, and typically the students use Mathematica1 or MATLAB2 software to complete them. Examples in the text were programmed in Mathematica.
A first semester sequence for junior students includes chapters 1 through 6. Note that chapter 3 on thin-wall bar theory maybe too mathematical for some students, but can be used as a reference for the applications of the theory provided in chapter 4. The important topic of work and energy is covered in chapter 5, and chapter 6 is devoted to the application of Castigliano’s theorems to trusses, beams, and frames.
A second semester sequence for junior students includes topics selected by the instructor from chapter 7 on curved bars, and chapters 10 through 16. The influence of imperfection sensitivity on the buckling load of discrete systems is presented in chapter 10, followed by buckling of columns and plates in chapter 11. Article 11.2 is optional. Analysis for wing divergence is presented in the introduction to aeroelasticity in chapter 12. The methods of linear elastic fracture mechanics to predict critical loads for crack propagation is discussed in chapter 13. Design of a landing strut, and the optimal design of a spar subject to constraints on yielding, buckling and fracture are presented in chapter 14. Chapters 15 and 16 detail the direct stiffness method for trusses, beams and frames.
Topics appropriate for senior students are in chapters 8, 9, 17, and 18, and initial post-buckling in article 11.2. The response of closed and open section bars fabricated from a fiber-reinforced polymer composite (FRP) is presented in chapter 8, and failure initiation of FRP bars is presented in chapter 9. The finite element method applied to the extension and bending of bars is presented in chapter 17, which includes transverse shear deformations. The topic of adaptive mesh refinement in article 17.2.4 is optional. Articles 18.1 to 18.4 cover the dynamic response of lumped mass models, eigenvalue problems, and Lagrange’s equations. The remainder of chapter 18 utilizes the finite element method for the dynamic response of beams, trusses, and frames.
Peer reviewers
Joseph Brooks, Doctoral Student and Graduate Assistant, Virginia Tech
Christine Gilbert, Assistant Professor, Virginia Tech
Mayuresh Patil, Associate Professor, Virginia Tech / Professor of Practice, Georgia Tech
Varankini Sangmudas, Doctoral Candidate and Graduate Teaching Assistant, Virginia Tech
Gary Seidel, Associate Professor, Virginia Tech
Namiko Yamamoto, Assistant Professor, Penn State
Anonymous, Professor, University of Virginia
Contributors
Co-investigators: Mayuresh Patil, Rakesh Kapania
Managing editor and co-investigator: Anita Walz
Alt text writer: Joseph Brooks
Alt text assistant: Claire Colvin
Copyediting and LaTeX: Longleaf Press
Cover design and selected graphics: Kindred Grey