Stress, Strain, and Structural Dynamics: An Interactive Handbook of Formulas, Solutions, and MATLAB Toolboxes, Second Edition is the definitive reference to statics and dynamics of solids and structures, including mechanics of materials, structural mechanics, elasticity, rigid-body dynamics, vibrations, structural dynamics, and structural controls. The book integrates the development of fundamental theories, formulas, and mathematical models with user-friendly interactive computer programs that are written in MATLAB. This unique merger of technical reference and interactive computing provides instant solutions to a variety of engineering problems, and in-depth exploration of the physics of deformation, stress and motion by analysis, simulation, graphics, and animation.
1. Chapter 1. Introduction - p. 1 2. Part I: Strength of materials - p. 8 3. Chapter 2. Static analysis of Euler-Bernoulli beams - p. 18 4. Chapter 3. Static analysis of bars, shafts, and strings - p. 71 5. Chapter 4. Buckling analysis of columns - p. 103 6. Chapter 5. Stress analysis in two-dimensional problems - p. 174 7. Part II: Structural mechanics - p. 179 8. Chapter 6. Static analysis of constrained multispan beams - p. 203 9. Chapter 7. Static analysis of plane and space trusses - p. 234 10. Chapter 8. Static analysis of plane and space frames - p. 297 11. Part III: Dynamics and vibrations - p. 347 12. Chapter 9. Dynamics of particles and rigid bodies - p. 351 13. Abstract - p. 351 14. 9.1 Getting started - p. 351 15. 9.2 Dynamics of particles - p. 352 16. 9.3 Dynamics of rigid bodies in plane motion - p. 381 17. 9.4 Rigid body dynamics in three dimensions - p. 399 18. 9.5 Quick solution guide - p. 427 19. Further reading - p. 430 20. Chapter 10. Vibration analysis of one-degree-of-freedom systems - p. 438 21. Abstract - p. 438 22. 10.1 Getting started - p. 438 23. 10.2 System description - p. 433 24. 10.3 Time response - p. 437 25. 10.4 Analytical vibration solutions - p. 467 26. 10.5 Frequency response - p. 480 27. 10.6 Response to periodic excitation - p. 502 28. 10.7 Nonlinear vibration - p. 514 29. 10.8 Quick solution guide - p. 525 30. References - p. 528 31. Further reading - p. 528 32. Chapter 11. Vibration and control of multiple-degree-of-freedom systems - p. 590 33. Abstract - p. 590 34. 11.1 Getting started - p. 590 35. 11.2 System description - p. 531 36. 11.3 Dynamic response - p. 543 37. 11.4 Dynamic vibration absorption - p. 575 38. 11.5 Transfer function formulation - p. 588 39. 11.6 Feedback control - p. 600 40. 11.7 Quick solution guide - p. 621 41. References - p. 625 42. Further reading - p. 625 43. Part IV: Structural dynamics - p. 625 44. Chapter 12. Dynamics and control of Euler-Bernoulli beams - p. 658 45. Abstract - p. 658 46. 12.1 Getting started - p. 658 47. 12.2 System description - p. 631 48. 12.3 Dynamic response - p. 647 49. 12.4 Moving force problem - p. 669 50. 12.5 Feedback control - p. 676 51. 12.6 Dynamics and control of nonuniform beams - p. 703 52. 12.7 Quick solution guide - p. 735 53. References - p. 737 54. Further reading - p. 739 55. Chapter 13. Dynamic analysis of bars, shafts, and strings - p. 764 56. Chapter 14. Dynamic analysis of constrained, combined, and stepped beams - p. 819 57. Abstract - p. 819 58. 14.1 Getting started - p. 819 59. 14.2 Constrained beams - p. 803 60. 14.3 Combined beams - p. 827 61. 14.4 Stepped beams - p. 853 62. 14.5 Quick solution guide - p. 869 63. References - p. 872 64. Further reading - p. 872 65. Part V: Two-dimensional elastic continua - p. 872 66. Chapter 15. Static analysis of linearly elastic bodies - p. 920 67. Abstract - p. 920 68. 15.1 Getting started - p. 920 69. 15.2 Theory of linear elasticity - p. 877 70. 15.3 Elasticity problems in two dimensions - p. 898 71. 15.4 Finite element method for 2-D elasticity problems - p. 911 72. 15.5 Quick solution guide - p. 949 73. References - p. 953 74. Further reading - p. 953 75. Chapter 16. Vibration analysis of membranes and plates - p. 962 76. Appendix A. Commonly used mathematical formulas - p. 1013 77. Appendix B. MATLAB commands and functions - p. 1053 78. Appendix C. The distributed transfer function method - p. 1063 79. Appendix D. Conversion of units - p. 1073 80. Appendix E. Mechanical properties of engineering materials - p. 1076 81. Index - p. 1079
Stress, Strain, and Structural Dynamics: An Interactive Handbook of Formulas, Solutions, and MATLAB Toolboxes, Second Edition is the definitive reference to statics and dynamics of solids and structures, including mechanics of materials, structural mechanics, elasticity, rigid-body dynamics, vibrations, structural dynamics, and structural controls. The book integrates the development of fundamental theories, formulas, and mathematical models with user-friendly interactive computer programs that are written in MATLAB. This unique merger of technical reference and interactive computing provides instant solutions to a variety of engineering problems, and in-depth exploration of the physics of deformation, stress and motion by analysis, simulation, graphics, and animation.
1. Chapter 1. Introduction - p. 1 2. Part I: Strength of materials - p. 8 3. Chapter 2. Static analysis of Euler-Bernoulli beams - p. 18 4. Chapter 3. Static analysis of bars, shafts, and strings - p. 71 5. Chapter 4. Buckling analysis of columns - p. 103 6. Chapter 5. Stress analysis in two-dimensional problems - p. 174 7. Part II: Structural mechanics - p. 179 8. Chapter 6. Static analysis of constrained multispan beams - p. 203 9. Chapter 7. Static analysis of plane and space trusses - p. 234 10. Chapter 8. Static analysis of plane and space frames - p. 297 11. Part III: Dynamics and vibrations - p. 347 12. Chapter 9. Dynamics of particles and rigid bodies - p. 351 13. Abstract - p. 351 14. 9.1 Getting started - p. 351 15. 9.2 Dynamics of particles - p. 352 16. 9.3 Dynamics of rigid bodies in plane motion - p. 381 17. 9.4 Rigid body dynamics in three dimensions - p. 399 18. 9.5 Quick solution guide - p. 427 19. Further reading - p. 430 20. Chapter 10. Vibration analysis of one-degree-of-freedom systems - p. 438 21. Abstract - p. 438 22. 10.1 Getting started - p. 438 23. 10.2 System description - p. 433 24. 10.3 Time response - p. 437 25. 10.4 Analytical vibration solutions - p. 467 26. 10.5 Frequency response - p. 480 27. 10.6 Response to periodic excitation - p. 502 28. 10.7 Nonlinear vibration - p. 514 29. 10.8 Quick solution guide - p. 525 30. References - p. 528 31. Further reading - p. 528 32. Chapter 11. Vibration and control of multiple-degree-of-freedom systems - p. 590 33. Abstract - p. 590 34. 11.1 Getting started - p. 590 35. 11.2 System description - p. 531 36. 11.3 Dynamic response - p. 543 37. 11.4 Dynamic vibration absorption - p. 575 38. 11.5 Transfer function formulation - p. 588 39. 11.6 Feedback control - p. 600 40. 11.7 Quick solution guide - p. 621 41. References - p. 625 42. Further reading - p. 625 43. Part IV: Structural dynamics - p. 625 44. Chapter 12. Dynamics and control of Euler-Bernoulli beams - p. 658 45. Abstract - p. 658 46. 12.1 Getting started - p. 658 47. 12.2 System description - p. 631 48. 12.3 Dynamic response - p. 647 49. 12.4 Moving force problem - p. 669 50. 12.5 Feedback control - p. 676 51. 12.6 Dynamics and control of nonuniform beams - p. 703 52. 12.7 Quick solution guide - p. 735 53. References - p. 737 54. Further reading - p. 739 55. Chapter 13. Dynamic analysis of bars, shafts, and strings - p. 764 56. Chapter 14. Dynamic analysis of constrained, combined, and stepped beams - p. 819 57. Abstract - p. 819 58. 14.1 Getting started - p. 819 59. 14.2 Constrained beams - p. 803 60. 14.3 Combined beams - p. 827 61. 14.4 Stepped beams - p. 853 62. 14.5 Quick solution guide - p. 869 63. References - p. 872 64. Further reading - p. 872 65. Part V: Two-dimensional elastic continua - p. 872 66. Chapter 15. Static analysis of linearly elastic bodies - p. 920 67. Abstract - p. 920 68. 15.1 Getting started - p. 920 69. 15.2 Theory of linear elasticity - p. 877 70. 15.3 Elasticity problems in two dimensions - p. 898 71. 15.4 Finite element method for 2-D elasticity problems - p. 911 72. 15.5 Quick solution guide - p. 949 73. References - p. 953 74. Further reading - p. 953 75. Chapter 16. Vibration analysis of membranes and plates - p. 962 76. Appendix A. Commonly used mathematical formulas - p. 1013 77. Appendix B. MATLAB commands and functions - p. 1053 78. Appendix C. The distributed transfer function method - p. 1063 79. Appendix D. Conversion of units - p. 1073 80. Appendix E. Mechanical properties of engineering materials - p. 1076 81. Index - p. 1079
