Strength of Materials Timoshenko Part I

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STRENGTH OF MATERIALS - S. TIMOSHENKO
	PART I: Elementary Theory and Problems
	Preface to the Second Edition
	Preface to the First Edition
	Notations
	Contents
	I. Tension and Compression within the Elastic Limit
	1. Elasticity
	2. Hooke´s Law
	3. The Tensile Test Diagram
	4. Working Stress
	5. Stress and Strain in a Bar by its Own Weight
	6. Statically Indeterminate Problems in Tension and Compression
	7. Initial and Thermal Stresses
	8. Extension of a Circular Ring
	II. Analysis of Stress and Strain
	9. Variation of the Stress with the Orientation of the Cross Section for Simple Tension and Compression
	10. The Circle of Stress
	11. Tension or Compression in Two Perpendicular Directions
	12. The Circle of Stress for Combined Stresses
	13. Principal Stresses
	14. Analysis of Strain in the Case of Simple Tension
	15. Strain in the Case of Tension or Compression in Two perpendicular Directions
	16. Pure Shear Modulus in Shear
	17. Working Stresses in Shear
	18. Tension or Compression in Three Perpendicular Directions
	III. Shearing Force and Bending Moment
	19. Type of Beams
	20. Bending Moment and Shearing Fprce
	21. Relation Between Bending Moment and Shearing Force
	22. Bending Moment Shearing Force Diagrams
	IV. Stresses in Transversally Loaded Beams
	23. Pure Bending
	24. Various Shapes of Cross Sections of Beams
	25. General Case of Transversally Loaded Beams
	26. Shearing Stresses in Bending
	27. Distribution of Shearing Stresses in the Case of a Circular Cross Section
	28. Distribution of Shearing Stresses in I Beams
	29. Principal Stresses in Bending
	30. Stresses in Built-up Beams
	V. Deflection of Transversally Loaded Beams
	31. Differential Equation of the Deflection Curve
	32. Bending of a Uniformly Loaded Beam
	33. Dflection of a Simply Supported Beam Loaded with a Concentrated Load
	34. Determination of Deflections by the use of the Bending Moment Diagram; Method of Superposition
	35. Deflection of a Cantilever Beam by the Area-Moment Method
	36. Deflection of a Simply Supported Beam by the Area-Moment Method
	37. Deflection of Beams with Overhangs
	38. The Deflection of Beams When the Loads Are Not Parallel to One of the Two Principal Planes of Bending
	39. Effect of Shearing Force on the Deflection of Beams
	VI. Statically Indeterminate Problems in Bending
	40. Redundant Constraints
	41. Beam Built-in at One End and Supported at the Other
	42. Beam with Both Ends Built-in
	43. Frames
	44. Beams on Three Supports
	45. Continuous Beams
	VII. Beams of Variable Cross Section. Beams of Two Materials
	46. Beams of Variable Cross Section
	47. Beams of Two Different Materials
	48. Reinforced-Concrete Beams
	49. Shearing Stresses in Reinforced-Concrete Beams
	VIII. Combined Tension and Compression; Theory of Columns
	50. Bending Accompanied by Compression or Tension
	51. Eccentric Loading of a Short Strut
	52. The Core of a Section
	53. Eccentric Compression of a Slender Column
	54. Critical Load
	55. Critical Stress; Design of Columns
	56. Design of Columns on Basis of Assumed Inaccuracies
	57. Empirical Formulas for Column Design
	IX. Torsion and Combined Bending and Torsion
	58. Torsion of a Circular Shaft
	59. Torsion of a Hollow Shaft
	60. The Shaft of Rectangular Cross Section
	61. Helical Spring, Close Coiled
	62. Combined Bending and Twist in Circular Shafts
	X. Energy of Strain
	63. Elastic strain Energy in Tension
	64. Tension Produced by Impact
	65. Elastic Strain Energy in Shear and Twist
	66. Elastic Strain Energy in Bending
	67. Bending Produced by Impact
	68. The General Expression for Strain Energy
	69. The Theorem of Castigliano
	70. Application of Castigliano Theorem in Solution of Statically Indeterminate Problems
	71. The Reciprocal Theorem
	72. Exceptional Cases
	Appendix: Moments of Inertia of Plane Figures
	I. The Moment of Inertia of a Plane Area with Respect to and Axis in Its Plane
	II. Polar Moment of Inertia of a Plane area
	III. Transfer of Axis
	IV. Product of Inertia, Principal Axes
	V. Change of Direction of Axis. Determination of the Principal Axes
	Author Index
	Subject Index
	PART II: Advanced Theory and Problems
	Preface to the Second Edition
	Preface to the First Edition
	Notations
	Contents
	I. Special Problems in Bending of Beams
	1. Beams on Elastic Foundation
	2. The Semi-infinite Beam on an Elastic Foundation
	3. Beams of Finite Length on Elastic Foundation
	4. Combined Direct Compression and Lateral Load
	5. Continuous Struts
	6. Tie Rod with Lateral Loading
	7. Representation of the Deflection Curve by Trigonometrical Series
	8. Bending of Beams in a Principal Plane which is not a Plane of Symetry. Center of Twist
	9. Effective Width of Thin Flanges
	10. Limitations of the Method of Superposition
	II. Curved Bars
	11. Bending Stresses in Curved Bars
	12. Particular Cases of Curved Bars
	13. Deflection of Curved Bars
	14. Arch Higed at the Ends
	15. Stresses in a Flywheel
	16. Deflection Curve for a Bar with a Circular Center Line
	17. Deflection of Bars with a Small Initial Curvature
	18. Bending of Curved Tubes
	19. Bending of a Curved Bar o out of its Plane of Initial Curvature
	III. Thin Plates and Shells
	20. Bending of a Plate to a Cylindrical Surface
	21. Bending of a Long Uniformly Loaded Rectangular Plate
	22. Deflection of a Long Rectangular Plates Having a Small Initial Cylindrical Curvature
	23. Combination of Pure Bending in Two Perpendicular Directions
	24. Thermal Stresses in Plates
	25. Bending of Circular Plates Loaded Symmetrically with Respect to the Center
	26. Uniformly Loaded Circular Plate
	27. Circular Plate Loaded at the Center
	28. Circular Plate Concentrically Loaded
	29. Deflection of a Symmetrically Loaded Circular Plate with a Circular Hole at the Center
	30. Bending of Rectangular Plates
	31. Thin-wallet Vessels Submitted to Internal Pressure
	32. Local Bending Stresses in Thin Vessels
	33. Thermal Stresses in Cylindrical Shells
	34. Twisting of a Circular Ring by Couples Uniformly Distributed along its Center Line
	IV. Buckling of Bars, Plates and Shells
	35. Lateral Buckling of Bars Compressed within the Elastic Limit
	36. Energy Method of Calculating Critical Compressive Loads
	37. Buckling of Prismatical Bars under the Action of Uniformly Distributed Axial Forces
	38. Buckling of Bars of Variable Cross Section
	39. The Effect of Shearing Force on Critical Load
	40. Buckling of Latticed Struts
	41. Buckling of Circular Rings and Tubes under External Pressure
	42. Buckling of Rectangular Plates
	43. Buckling of Beams witout Lateral Supports
	V. Deformations Symmetrical About Axis
	44. Thick Walled Cylinder
	45. Stresses Produced by Shrink Fits
	46. Rotating Disc of Uniform Thickness
	47. Rotating Disc of Variable Thickness
	48. Thermal Stresses in a Long Hollow Cylinder
	VI. Torsion
	49. Shafts of Non-Circular Cross Section
	50. Membrane Analogy
	51. Torsion of Rolled Profile Sections
	52. Torsion of Thin Tubular Members
	53. Torsion of Thin-Wallet
	54. Torsional Bucklig of Thin-Wallet Compression Members 
	55. Longitudinal Normal Stresses in Twisted Bars
	56. Open Coiled Helical Spring
	VII. Stress Concentration
	57. Stress Concentration in Tension or Compression Members
	58. Stresses in a Plate with a Circular Hole
	59. Other Cases of Stress Concentration in Tension Members
	60. Stress Concentration in Torsion Members
	61. Circular Shaft of Variable Diameter
	62. Stress Concentration in Bending
	63. The investigation of Stress Concentration with Models
	64. Photoelastic Method of Stress Measurements
	65. Stresses at the point of Load Application
	66. Contact Stresses in Balls and Rollers
	VIII. Deformation Beyond Elastic Limit
	67. Pure Bending of Beams the Material of Which Does Not Follow Hooke´s Law
	68. Bending of Beams by Transverse Loads Beyond Elastic Limit
	69. Residual Stresses Produced by InelasticBending
	70. Torsion Beyond the Elastic Limit
	71. Plastic Deformation of Thick Cylinders under the Action of Internal Pressure
	IX. Mechanical Properties of Materials
	72. Tension Test
	73. Compression Test
	74. Strain Hardening
	75. Strain Hardening and Residual Stresses
	76. Types of Failures
	77. Time Effect and Hysteresis
	78. The Fatigue of Metals
	79. Various Factors Affecting Endurance Limit
	80. Fatigue and Stress Concentration
	81. Causes of Fatigue
	82. Mechanical Properties of Metals at High Temperatures
	83. Various Strength Theories
	84. Working Stresses
	Author Index
	Subject Index