Strength of materials. Part II : advanced theory and problems
Timoshenko, S.
Strength of materials. Part II : advanced theory and problems - Ed. 3 - New Delhi CBS Publishers & Distributors 2002 - xvi,572,iip.
CONTENTS I. BEAMS ON ELASTIC FOUNDATIONS ..1 1. Beams of Unlimited Length ..1 2. Semi-infinite Beams ..11 3. Beams of Finite Length on Elastic Foundations . 15 II. BEAMS WITH COMBINED AXIAL AND LATERAL LOADS 26 4. Direct Compression and Lateral Load..26 5. Continuous Struts 37 6. Tie Rod with Lateral Loading 41 7. Representation of the Deflection Curve by a Trig - onometric Series 46 8. Deflection of Bars with Small Initial Curvature . 54 III. SPECIAL PROBLEMS IN THE BENDING OF BEAMS57 9. Local Stresses in the Bending of Beams . 57 10. Shearing Stresses in Beams of Variable Cross Section 62 11. Effective Width of Thin Flanges . 64 12. Limitations of the Method of Superposition 69 IV. THIN PLATES AND SHELLS .. 76 13. Bending of a Plate to a Cylindrical Surface ..76 14. Bending of a Long, Uniformly Loaded Rectangular Plate .. 78 15. Deflection of Long Rectangular Plates Having a Small Initial Cylindrical Curvature 84 16. Pure Bending in Two Perpendicular Directions86 17. Thermal Stresses in Plates.. 90 18. Bending of Circular Plates Loaded Symmetrically with Respect to the Center92 19. Bending of a Uniformly Loaded Circular Plate .. 96 20. Bending of Circular Plates of Variable Thickness.102 21. Bending of a Circular Plate Loaded at the Center .103 22. Bending of a Circular Plate Concentrically b Jed107 23. Deflection of a Symmetrically Loiaded Circular late with a Circular Hole at the Center . 109 24. Bending of Rectangular Plates114 25. Thin-walled Vessels Subjected to Internal Pressure117 26. Local Bending Stresses in Thin Vessels 124 27. Thermal Stresses in Cylindrical Shells. 134 28. Twisting of a Circular Ring by Couples Uniformly Distributed along Its Center Line 138 V. BUCKLING or BARS, PLATES AND SHELLS.145 29. Lateral Buckling of Prismatic Bars: Simpler Caset145 30. Lateral Buckling of Prismatic Bar-s: More Complicated Cases 153 31. Energy Method of Calculating Critical Compressive Loads..161 32. Buckling of Prismatic Bars under the Action of Uniformly Distributed Axial Forces .. 167 33. Buckling of Bars of Variable Cross Section 169 34. Effect of Shearing Force on the Critical Load . . .171 35. Buckling of Latticed Struts .173 36. Inelastic Buckling of Straight Columns .178 37. Buckling of Circular Rings and Tubes under External Pressure186 38. Buckling of Rectangular Plates 193 39. Buckling of Beams without Lateral Supports 199 VI. DEFORMATIONS SYMMETRICAL ABOUT AN Axis 205 40. Thick-walled Cylinder 205 41. Stresses Produced by Shrink Fit 210 42. Rotating Disc of Uniform Thickness .. 214 43. Rotating Disc of Variable Thickness .. 223 44. Thermal Stresses in a Long, Hollow Cylinder . . . 228 Vll. TORSION 235 45. Shafts of Noncircular Cross Section 235 46. Membrane Analogy 237 47. Torsion of Rolled Profile Sections ..244 48. Torsion of Thin Tubular Members ..247 49. Torsion of Thin-walled Members of Open Cross Section in Which Some Cross Sections Are Prevented from Warping .255 50. Combined Bending and Torsion of Thin-walled Members of Open Cross Section 267 51. Torsional Buckling of Thin-walled Members of Open Cross Section 273 ,52. Buckling of Thin-walled Members of Open Cross Section by Simultaneous Bending and Torsion . 279 53. Longitudinal Normal Stresses in Twisted Bars . 286 54. Open-coiled Helical Spring292 VIII. STRESS CONCENTRATION300 55. Stress Concentration in Tension or Compression Members 300 56. Stresses in a Plate with a Circular Hole 301 57. Other Cases of Stress Concentration in Tension Members 306 58. Stress Concentration in Torsion .312 59. Circular Shafts of Variable Diamerer 318 60. Stress Concentration in Bending . 324 61. The Investigation of'Stress1 Concentration with Models 329 62. Photoelast'ic Method of Stress Measurements 333 63. Contact Stresses in Balls and Rollers 339 IX. DEFORMATIONS BEYOND THE ELASTIC LIMIT 346 64. Structures of Perfectly Plastic Materials 346 65. Ultimate Strength of Structures 354 66. Pure Bending of Beams of Material Which Does Not Follow Hooke's Law 366 67. Bending of Beams by Transverse Loads beyond the Elastic Limit374 68. Residual Stresses'Produced by Inelastic Bending377 69. Torsion beyond the Elastic Limit 381 70. Plastic Deformation of Thick Cylinders under the Action of Internal Pressure 386 X. MECHANICAL PROPERTIES OF MATERIALS393 71. General 393 72. Tensile Xests of Brittle Materials395 73. Tensile Tests of Ductile Materials 400 74. Tests of Single-Crystal Specimens in the Elastic Range403 75. Plastic Stretching of Single-Crystal Specimens . 407 76. Tensile Tests of Mild Steel in the Elastic Range . 411 77. Yield Point 417 78. Stretching of Steel beyond the Yield Point 420 79. Types-of Fractures in Tension .. 430 80. Compression Tests .. 435 81. Tests of Materials under Combined Stresses . 438 82. Strength Theories ..444 83. Impact Tests462 84. Fatigue of Metals 470 85. Fatigue under Combined Stresses 479 86. Factors Affecting the Endurance Limit ..483 87. Fatigue and Stress Concentrations ..489 88. Reduction of the Effect of Stress Concentrations in Fatigue . 498 89. Surface Fatigue Failure .505 90. Causes of Fatigue ..509 91. Mechanical Properties of Metals at High Temperatures .. 516 92. Bending of Beams at High Temperatures ..527 93. Stress Relaxation530 94. Creep under Combined Stresses533 95. Particular Cases of Two-dimensional Creep . 537 96. Working Stresses. 544 AUTHOR INDEX.559 SUBJECT INDEX ..565
8123910770
620.112 / TIM
Strength of materials. Part II : advanced theory and problems - Ed. 3 - New Delhi CBS Publishers & Distributors 2002 - xvi,572,iip.
CONTENTS I. BEAMS ON ELASTIC FOUNDATIONS ..1 1. Beams of Unlimited Length ..1 2. Semi-infinite Beams ..11 3. Beams of Finite Length on Elastic Foundations . 15 II. BEAMS WITH COMBINED AXIAL AND LATERAL LOADS 26 4. Direct Compression and Lateral Load..26 5. Continuous Struts 37 6. Tie Rod with Lateral Loading 41 7. Representation of the Deflection Curve by a Trig - onometric Series 46 8. Deflection of Bars with Small Initial Curvature . 54 III. SPECIAL PROBLEMS IN THE BENDING OF BEAMS57 9. Local Stresses in the Bending of Beams . 57 10. Shearing Stresses in Beams of Variable Cross Section 62 11. Effective Width of Thin Flanges . 64 12. Limitations of the Method of Superposition 69 IV. THIN PLATES AND SHELLS .. 76 13. Bending of a Plate to a Cylindrical Surface ..76 14. Bending of a Long, Uniformly Loaded Rectangular Plate .. 78 15. Deflection of Long Rectangular Plates Having a Small Initial Cylindrical Curvature 84 16. Pure Bending in Two Perpendicular Directions86 17. Thermal Stresses in Plates.. 90 18. Bending of Circular Plates Loaded Symmetrically with Respect to the Center92 19. Bending of a Uniformly Loaded Circular Plate .. 96 20. Bending of Circular Plates of Variable Thickness.102 21. Bending of a Circular Plate Loaded at the Center .103 22. Bending of a Circular Plate Concentrically b Jed107 23. Deflection of a Symmetrically Loiaded Circular late with a Circular Hole at the Center . 109 24. Bending of Rectangular Plates114 25. Thin-walled Vessels Subjected to Internal Pressure117 26. Local Bending Stresses in Thin Vessels 124 27. Thermal Stresses in Cylindrical Shells. 134 28. Twisting of a Circular Ring by Couples Uniformly Distributed along Its Center Line 138 V. BUCKLING or BARS, PLATES AND SHELLS.145 29. Lateral Buckling of Prismatic Bars: Simpler Caset145 30. Lateral Buckling of Prismatic Bar-s: More Complicated Cases 153 31. Energy Method of Calculating Critical Compressive Loads..161 32. Buckling of Prismatic Bars under the Action of Uniformly Distributed Axial Forces .. 167 33. Buckling of Bars of Variable Cross Section 169 34. Effect of Shearing Force on the Critical Load . . .171 35. Buckling of Latticed Struts .173 36. Inelastic Buckling of Straight Columns .178 37. Buckling of Circular Rings and Tubes under External Pressure186 38. Buckling of Rectangular Plates 193 39. Buckling of Beams without Lateral Supports 199 VI. DEFORMATIONS SYMMETRICAL ABOUT AN Axis 205 40. Thick-walled Cylinder 205 41. Stresses Produced by Shrink Fit 210 42. Rotating Disc of Uniform Thickness .. 214 43. Rotating Disc of Variable Thickness .. 223 44. Thermal Stresses in a Long, Hollow Cylinder . . . 228 Vll. TORSION 235 45. Shafts of Noncircular Cross Section 235 46. Membrane Analogy 237 47. Torsion of Rolled Profile Sections ..244 48. Torsion of Thin Tubular Members ..247 49. Torsion of Thin-walled Members of Open Cross Section in Which Some Cross Sections Are Prevented from Warping .255 50. Combined Bending and Torsion of Thin-walled Members of Open Cross Section 267 51. Torsional Buckling of Thin-walled Members of Open Cross Section 273 ,52. Buckling of Thin-walled Members of Open Cross Section by Simultaneous Bending and Torsion . 279 53. Longitudinal Normal Stresses in Twisted Bars . 286 54. Open-coiled Helical Spring292 VIII. STRESS CONCENTRATION300 55. Stress Concentration in Tension or Compression Members 300 56. Stresses in a Plate with a Circular Hole 301 57. Other Cases of Stress Concentration in Tension Members 306 58. Stress Concentration in Torsion .312 59. Circular Shafts of Variable Diamerer 318 60. Stress Concentration in Bending . 324 61. The Investigation of'Stress1 Concentration with Models 329 62. Photoelast'ic Method of Stress Measurements 333 63. Contact Stresses in Balls and Rollers 339 IX. DEFORMATIONS BEYOND THE ELASTIC LIMIT 346 64. Structures of Perfectly Plastic Materials 346 65. Ultimate Strength of Structures 354 66. Pure Bending of Beams of Material Which Does Not Follow Hooke's Law 366 67. Bending of Beams by Transverse Loads beyond the Elastic Limit374 68. Residual Stresses'Produced by Inelastic Bending377 69. Torsion beyond the Elastic Limit 381 70. Plastic Deformation of Thick Cylinders under the Action of Internal Pressure 386 X. MECHANICAL PROPERTIES OF MATERIALS393 71. General 393 72. Tensile Xests of Brittle Materials395 73. Tensile Tests of Ductile Materials 400 74. Tests of Single-Crystal Specimens in the Elastic Range403 75. Plastic Stretching of Single-Crystal Specimens . 407 76. Tensile Tests of Mild Steel in the Elastic Range . 411 77. Yield Point 417 78. Stretching of Steel beyond the Yield Point 420 79. Types-of Fractures in Tension .. 430 80. Compression Tests .. 435 81. Tests of Materials under Combined Stresses . 438 82. Strength Theories ..444 83. Impact Tests462 84. Fatigue of Metals 470 85. Fatigue under Combined Stresses 479 86. Factors Affecting the Endurance Limit ..483 87. Fatigue and Stress Concentrations ..489 88. Reduction of the Effect of Stress Concentrations in Fatigue . 498 89. Surface Fatigue Failure .505 90. Causes of Fatigue ..509 91. Mechanical Properties of Metals at High Temperatures .. 516 92. Bending of Beams at High Temperatures ..527 93. Stress Relaxation530 94. Creep under Combined Stresses533 95. Particular Cases of Two-dimensional Creep . 537 96. Working Stresses. 544 AUTHOR INDEX.559 SUBJECT INDEX ..565
8123910770
620.112 / TIM