000			07047 a2200157 4500
020			_a8123910304
082			_a620.112 _bTIM
100			_aTimoshenko, Stephen
245			_aStrength of materials. Part.1 _belementary theory and prblems
260			_aNew Delhi _bCBS Pub. and dist. pvt. ltd. _c2002
300			_axiv,442p.
500			_aCONTENTS TENSION AND COMPRESSION WITHIN THE ELASTIC LIMIT 1 1. Elasticity ................... 1 2. Hooke'sLaw ................. 2 3. The Tensile Test Diagram ........... 6 4. Working Stress ................ 8 5. Stress and Strain Produced in a Bar by Its Own Weight ................... 14 6. Statically Indeterminate Problems in Tension and Compression ................ 20 7. Assembly and Thermal Stresses ......... 26 8. Extension of a Circular Ring .......... 31 II. ANALYSIS OF STRESS AND STRAIN .......... 37 9. Stress on Inclined Planes for Simple Tension and Compression ................ 37 10. Mohr's Circle ................. 40 11. Tension or Compression in Two Perpendicular Di¬rections 44 12. Mohr's Circle for Combined Stresses ....... 46 13. Principal Stresses ............... 49 14. Lateral Contraction .............. 53 15. Strain in the1 Case of Tension or Compression in Two Perpendicular Directions ........... 54 16. Pure Shear. Modulus in Sheai- ......... 57 17. Working Stresses in Shear ........... 62 18. Tension or Compression in Three Perpendicular Di¬rections 65 III. BENDING MOMENT AND SHEARING FORCE ....... 70 19. Types of Beams ................ 70 20. Bending Moment and Shearing Force ...... 72 21. Relation between Bending Moment and Shearing Force 76 22. Bending Moment and Shearing Force Diagrams . .78 IV. STRESSES IN LATERALLY LOADED SYMMETRICAL BEAMS . 92 23. Pure Bending ................. 92 24. Various Shapes of Cross Sections of Beams 100 25. General Case of Laterally Loaded Symmetrical Beams ....... 105 26. Shearing Stresses in Bending .......... 113 27. Distribution of Shearing Stresses in the Case of a Circular Cross Section ............ 120 28. Shearing Stresses in I Beams .......... 122 29. Principal Stresses in Bending .......... 125 30. Stresses in Built-up Beams ........... 130 V. DEFLECTION OF LATERALLY LOADED SYMMETRICAL BEAMS ................... 137 31. Differential Equation of the Deflection Curve . . 137 32. Bending of a Uniformly Loaded Beam ...... 140 33. Deflection of a Simply Supported Beam Loaded by a Concentrated Load ........143 34. Determination of Deflections by the Use of the Bending Moment Diagram. Area-Moment Method 147 35. Deflection of a Cantilever Beam by the Area-Mo¬ment Method ................ 149 36. Deflection of a Simply Supported Beam by the Area-Moment Method .....154 37. Method of Superposition ............ 162 38. TKe Deflection of Beams with Overhangs ..... 167 39. Effect of Shearing Force on the Deflection of Beams 170 VI. STATICALLY INDETERMINATE PROBLEMS IN BENDING . . 176 40. Redundant Constraints ............. 176 41. Beam Built In at One End and Supported at the Other 179 42. Beam with Both Ends Built In ......... 186 43. Frames .................... 190 44. Beams on Three Supports ........... 198 45. Continuous Beams ............... 202 VII. SYMMETRICAL BEAMS OF VARIABLE CROSS SECTION. BEAMS OF Two MATERIALS .......... 210 46. Beams of Variable Cross Section . ........ 210 47. Symmetrical Beams of Two Different Materials . 217 48. Reinforced-Concrete Beams ........... 221 49. Shearing Stresses in Reinforced-Concrete Beams . . 225 VIII. BENDING OF BEAMS IN A PLANE WHICH Is NOT A PLANE OF SYMMETRY . 227 50. Pure Bending in a Plane Which Is Not a, Plane of Symmetry ................. 227 51. Bending of Beams Having Two Planes of Symmetry 233 52. Bending of Beams in a Principal Plane Which Is Not a Plane of Symmetry .......... 235 IX. COMBINED BENDING AND AXIAL LOAD. THEORY OF COLUMNS .................. 245 53. Bending Accompanied by Tension or Compression . 245 54. Eccentric Loading of a Short Strut ....... 249 55. The Core of a Section ............. 254 56. Eccentric Compression of a Slender Symmetrical Column ............... . . . 258 57. Critical Load ................. 263 58. Critical Stress; Design of Columns ........ 268 59. Design of Columns on the Basis of Assumed Inac¬curacies . 274 60. Empirical Formulas for Column Design ..... 277 X. TORSION AND COMBINED BENDING AND TORSION ... 281 61. Torsion of a Circular Shaft ........... 281 62. Torsion of a Hollow Shaft ........... 287 63. Shaft of Rectangular Cross Section ....... 289 64. Helical Spring, Close Coiled ........... 290 65. Combined Bending and Torsion of Circular Shafts . 295 XI. STRAIN ENERGY AND IMPACT . . . \-^.'. ...... 301 66. Elastic Strain Energy in Tension ........ 301 67. Tension Produced by Impact .......... 305 68. Elastic Strain Energy in Shear and Torsion .... 312 69. Elastic Strain Energy in Bending .... . . . . 316 70. Deflection Produced by Impact ......... 320 71. The General Expression for Strain Energy .... 325 72. The Theorem of Castigliano . .......... 328 73. Deflection of Trusses. ............. 335 74. Application of Castigliano Theorem in Solution of Statically Indeterminate Problems ....... 340 75. The Reciprocal Theorem ............ 351 76. Exceptional Cases . . ... .......... 359 XII. CURVED BARS .................. 362 77. Pure Bending of Curved Bars .......... 362 78. Bending of Curved Bars by.Fofces Acting in the Plane of Symmetry ............. 366 79. Particular Cases of Curved Bars ......... 368 80. Deflection of Curved Bars ........... 378 81. Arch Hinged at the Ends ............ 394. 82. Stresses in a Flywheel ............ . 398 83. Deflection Curve for a Bar with a Circular Center Line .................... 401 84. Bending of Curvetl Tubes. ........... 405 85. Bending of a Curved Bar Out of Its Plane of Initial Curvature ........... 410 APPENDIX A MOMENTS OF INERTIA OF PLANE AREAS ........ 417 I. The Moment of Inertia of a Plane Area with Respect to an Axis in Its Plane ............. 417 II. Polar Moment of Inertia of a Plane Area ....... 420 III. Parallel-Axis Theorem ............... 422 IV. Product of Inertia. Principal Axes ......... 423 V. Change of Direction of Axes. Determination of the Principal Axes ................ 425 APPENDIX E TABLES OF STRUCTURAL SHAPES ........... 429 AUTHOR INDEX ..................... 435 SUBJECT INDEX ..................... 437
890			_aIndia
891			_aFT
942			_2ddc
999			_c38105 _d38105