STRENGTH OF MATERIALS - S. TIMOSHENKOPART I: Elementary Theory and ProblemsPreface to the Second EditionPreface to the First EditionNotationsContentsI. Tension and Compression within the Elastic Limit1. Elasticity2. Hookes Law3. The Tensile Test Diagram4. Working Stress5. Stress and Strain in a Bar by its Own Weight6. Statically Indeterminate Problems in Tension and Compression7. Initial and Thermal Stresses8. Extension of a Circular Ring

II. Analysis of Stress and Strain9. Variation of the Stress with the Orientation of the Cross Section for Simple Tension and Compression10. The Circle of Stress11. Tension or Compression in Two Perpendicular Directions12. The Circle of Stress for Combined Stresses13. Principal Stresses14. Analysis of Strain in the Case of Simple Tension15. Strain in the Case of Tension or Compression in Two perpendicular Directions16. Pure Shear Modulus in Shear17. Working Stresses in Shear18. Tension or Compression in Three Perpendicular Directions

III. Shearing Force and Bending Moment19. Type of Beams20. Bending Moment and Shearing Fprce21. Relation Between Bending Moment and Shearing Force22. Bending Moment Shearing Force Diagrams

IV. Stresses in Transversally Loaded Beams23. Pure Bending24. Various Shapes of Cross Sections of Beams25. General Case of Transversally Loaded Beams26. Shearing Stresses in Bending27. Distribution of Shearing Stresses in the Case of a Circular Cross Section28. Distribution of Shearing Stresses in I Beams29. Principal Stresses in Bending30. Stresses in Built-up Beams

V. Deflection of Transversally Loaded Beams31. Differential Equation of the Deflection Curve32. Bending of a Uniformly Loaded Beam33. Dflection of a Simply Supported Beam Loaded with a Concentrated Load34. Determination of Deflections by the use of the Bending Moment Diagram; Method of Superposition35. Deflection of a Cantilever Beam by the Area-Moment Method36. Deflection of a Simply Supported Beam by the Area-Moment Method37. Deflection of Beams with Overhangs38. The Deflection of Beams When the Loads Are Not Parallel to One of the Two Principal Planes of Bending39. Effect of Shearing Force on the Deflection of Beams

VI. Statically Indeterminate Problems in Bending40. Redundant Constraints41. Beam Built-in at One End and Supported at the Other42. Beam with Both Ends Built-in43. Frames44. Beams on Three Supports45. Continuous Beams

VII. Beams of Variable Cross Section. Beams of Two Materials46. Beams of Variable Cross Section47. Beams of Two Different Materials48. Reinforced-Concrete Beams49. Shearing Stresses in Reinforced-Concrete Beams

VIII. Combined Tension and Compression; Theory of Columns50. Bending Accompanied by Compression or Tension51. Eccentric Loading of a Short Strut52. The Core of a Section53. Eccentric Compression of a Slender Column54. Critical Load55. Critical Stress; Design of Columns56. Design of Columns on Basis of Assumed Inaccuracies57. Empirical Formulas for Column Design

IX. Torsion and Combined Bending and Torsion58. Torsion of a Circular Shaft59. Torsion of a Hollow Shaft60. The Shaft of Rectangular Cross Section61. Helical Spring, Close Coiled62. Combined Bending and Twist in Circular Shafts

X. Energy of Strain63. Elastic strain Energy in Tension64. Tension Produced by Impact65. Elastic Strain Energy in Shear and Twist66. Elastic Strain Energy in Bending67. Bending Produced by Impact68. The General Expression for Strain Energy69. The Theorem of Castigliano70. Application of Castigliano Theorem in Solution of Statically Indeterminate Problems71. The Reciprocal Theorem72. Exceptional Cases

Appendix: Moments of Inertia of Plane FiguresI. The Moment of Inertia of a Plane Area with Respect to and Axis in Its PlaneII. Polar Moment of Inertia of a Plane areaIII. Transfer of AxisIV. Product of Inertia, Principal AxesV. Change of Direction of Axis. Determination of the Principal Axes

Author IndexSubject Index

PART II: Advanced Theory and ProblemsPreface to the Second EditionPreface to the First EditionNotationsContentsI. Special Problems in Bending of Beams1. Beams on Elastic Foundation2. The Semi-infinite Beam on an Elastic Foundation3. Beams of Finite Length on Elastic Foundation4. Combined Direct Compression and Lateral Load5. Continuous Struts6. Tie Rod with Lateral Loading7. Representation of the Deflection Curve by Trigonometrical Series8. Bending of Beams in a Principal Plane which is not a Plane of Symetry. Center of Twist9. Effective Width of Thin Flanges10. Limitations of the Method of Superposition

II. Curved Bars11. Bending Stresses in Curved Bars12. Particular Cases of Curved Bars13. Deflection of Curved Bars14. Arch Higed at the Ends15. Stresses in a Flywheel16. Deflection Curve for a Bar with a Circular Center Line17. Deflection of Bars with a Small Initial Curvature18. Bending of Curved Tubes19. Bending of a Curved Bar o out of its Plane of Initial Curvature

III. Thin Plates and Shells20. Bending of a Plate to a Cylindrical Surface21. Bending of a Long Uniformly Loaded Rectangular Plate22. Deflection of a Long Rectangular Plates Having a Small Initial Cylindrical Curvature23. Combination of Pure Bending in Two Perpendicular Directions24. Thermal Stresses in Plates25. Bending of Circular Plates Loaded Symmetrically with Respect to the Center26. Uniformly Loaded Circular Plate27. Circular Plate Loaded at the Center28. Circular Plate Concentrically Loaded29. Deflection of a Symmetrically Loaded Circular Plate with a Circular Hole at the Center30. Bending of Rectangular Plates31. Thin-wallet Vessels Submitted to Internal Pressure32. Local Bending Stresses in Thin Vessels33. Thermal Stresses in Cylindrical Shells34. Twisting of a Circular Ring by Couples Uniformly Distributed along its Center Line

IV. Buckling of Bars, Plates and Shells35. Lateral Buckling of Bars Compressed within the Elastic Limit36. Energy Method of Calculating Critical Compressive Loads37. Buckling of Prismatical Bars under the Action of Uniformly Distributed Axial Forces38. Buckling of Bars of Variable Cross Section39. The Effect of Shearing Force on Critical Load40. Buckling of Latticed Struts41. Buckling of Circular Rings and Tubes under External Pressure42. Buckling of Rectangular Plates43. Buckling of Beams witout Lateral Supports

V. Deformations Symmetrical About Axis44. Thick Walled Cylinder45. Stresses Produced by Shrink Fits46. Rotating Disc of Uniform Thickness47. Rotating Disc of Variable Thickness48. Thermal Stresses in a Long Hollow Cylinder

VI. Torsion49. Shafts of Non-Circular Cross Section50. Membrane Analogy51. Torsion of Rolled Profile Sections52. Torsion of Thin Tubular Members53. Torsion of Thin-Wallet54. Torsional Bucklig of Thin-Wallet Compression Members 55. Longitudinal Normal Stresses in Twisted Bars56. Open Coiled Helical Spring

VII. Stress Concentration57. Stress Concentration in Tension or Compression Members58. Stresses in a Plate with a Circular Hole59. Other Cases of Stress Concentration in Tension Members60. Stress Concentration in Torsion Members61. Circular Shaft of Variable Diameter62. Stress Concentration in Bending63. The investigation of Stress Concentration with Models64. Photoelastic Method of Stress Measurements65. Stresses at the point of Load Application66. Contact Stresses in Balls and Rollers

VIII. Deformation Beyond Elastic Limit67. Pure Bending of Beams the Material of Which Does Not Follow Hookes Law68. Bending of Beams by Transverse Loads Beyond Elastic Limit69. Residual Stresses Produced by Inelastic Bending70. Torsion Beyond the Elastic Limit71. Plastic Deformation of Thick Cylinders under the Action of Internal Pressure

IX. Mechanical Properties of Materials72. Tension Test73. Compression Test74. Strain Hardening75. Strain Hardening and Residual Stresses76. Types of Failures77. Time Effect and Hysteresis78. The Fatigue of Metals79. Various Factors Affecting Endurance Limit80. Fatigue and Stress Concentration81. Causes of Fatigue82. Mechanical Properties of Metals at High Temperatures83. Various Strength Theories84. Working Stresses

Author IndexSubject Index