Structural Analysis notes: Trusses, Beams, Stress, Strain & FEM
Structural Analysis is a free Civil and Structural Engineering handbook covering important course topics, notes, diagrams, equations, formulas and study materials. Download this digital book and reference guide for Diploma, BE, BTech and other engineering degree courses.
Explore 90 topics across 5 chapters on structural mechanics, equilibrium, stress, strain, trusses, torsion, beam design, finite element methods (FEM) and virtual work. Useful for exams, viva, interviews and revision.
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70 DISTINCT LISTED TOPICS FROM 90
FORCES, EQUILIBRIUM & MATERIAL BEHAVIOR
1. Introduction and Units
2. Forces in Mechanics of Materials
3. Concentrated Forces
4. Moment of a Concentrated Force
5. Distributed Forces: Force and Moment Resultants
6. Internal Forces and Stresses: Stress Resultants
7. Free-Body Diagrams
8. Equilibrium of Concentrated Forces
9. Equilibrium of Distributed Forces
10. Equilibrium of Internal Forces and Stresses
11. Displacement and Strain
12. One-Dimensional Hooke's Law: Tension
13. Poisson's Ratio
14. Hooke's Law in 1D and 2D Isotropic Materials
15. Thermal Strain
16. Fiber-Reinforced Composite Laminates
AXIAL LOADING, TRUSSES & ENERGY
17. Elasticity Theory Solutions for Axial Members
18. Derivation and Solution of Axial Governing Equations
19. Statically Determinate Axial Systems
20. Statically Indeterminate Axial Systems
21. Variable Cross Sections in Axial Members
22. Thermal Stress and Strain in Axially Loaded Bars
23. Shear Stress in Axially Loaded Bars
24. Analysis and Design of Pin-Jointed Trusses
25. Work and Energy: Castigliano's Second Theorem
26. Axial Analysis: Summary and Conclusions
27. Truss FEM: Nodes, Elements, Shape Functions, Stiffness Matrix
28. General Method for Distributed Applied Loads
TORSION & CROSS-SECTION PROPERTIES
29. Torsional Displacement, Strain and Stress
30. Derivation and Solution of Torsion Equations
31. Elasticity Theory Solutions for Torsion
32. Torsional Stress in Thin-Walled Sections
33. Torsional Stress and Stiffness in Multicell Sections
34. Torsional Stress and Displacement in Thin-Walled Open Sections
35. General Finite Element Method for Torsion
36. Continuously Variable Cross Sections
37. Area Properties and Sign Conventions
BEAM ANALYSIS & FINITE ELEMENT METHODS
38. Derivation and Solution of Bending Equations
39. Statically Determinate Beam Systems
40. Virtual Work: Static Analysis of 2D and 3D Solids
41. Statically Indeterminate Beam Systems
42. Plane Stress: Two-Dimensional Governing Equations
43. Elasticity Theory Solutions for Bending
44. Variable Beam Cross Sections
45. Shear Stress in Nonrectangular and Thin-Walled Sections
46. Beam Design
47. Large Displacements
48. Beam FEM: Nodes, Elements, Shape Functions, Stiffness Matrix
49. Global FEM Equations and Solutions
50. Distributed Loads in FEM
51. Beam/FEM Analysis: Summary and Conclusions
STRESS TRANSFORMATION & COMBINED LOADING
52. Two-Dimensional Stress Transformation
53. Principal Axes and Principal Stresses in 2D
54. Two-Dimensional Strain Transformation
55. Strain Rosettes
56. Three-Dimensional Stress Transformation and Principal Stresses
57. Allowable and Ultimate Stress; Safety Factors
58. Fatigue
59. Orthotropic Materials and Composites
60. Review of Slender-Bar Equations
61. Torsional Loading
62. Bending in One Plane
63. Bending in Two Planes: Iyz = 0
64. Bending in Two Planes: Iyz Not Equal to Zero
65. Introduction
66. Bending and Torsion in Thin-Walled Open Sections: Shear Center
67. Bending and Torsion in Thin-Walled Closed Sections: Shear Center
68. Stiffened Thin-Walled Beams
69. Introduction to the Principle of Virtual Work
70. Static Analysis of Slender Bars by Virtual Work
Use this free Structural Analysis ebook to revise structural mechanics, beam and truss calculations, stress analysis and FEM.