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1 | (22) |
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1 | (4) |
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Linear Shapes---The ``Elastic Line'' |
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1 | (1) |
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Linear Displacement (Plane Sections) |
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2 | (1) |
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Linear Stress Strain Behavior (Hooke's Law) |
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3 | (1) |
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4 | (1) |
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Linear Tangent Transformation |
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4 | (1) |
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Displacements---Vectors and Tensors |
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5 | (1) |
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Finite Linear Transformation |
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6 | (3) |
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Symmetric and Asymmetric Components |
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9 | (4) |
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Asymmetric Transformation |
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9 | (1) |
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10 | (3) |
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Principal or Eigenvalue Representation |
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13 | (4) |
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17 | (2) |
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19 | (4) |
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23 | (42) |
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Deformation (Relative Displacement) |
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23 | (1) |
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24 | (4) |
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28 | (2) |
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Components at an Arbitrary Orientation (Tensor Transformation) |
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30 | (7) |
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Invariants and Principal Orientation |
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33 | (4) |
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Isotropic and Deviatoric Components |
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37 | (2) |
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Principal Space and the Octahedral Representation |
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39 | (3) |
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Two-Dimensional Stress or Strain |
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42 | (4) |
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Mohr's Circle for a Plane Tensor |
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46 | (4) |
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Mohr's Circle in Three Dimensions |
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50 | (3) |
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Equilibrium of a Differential Element |
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53 | (2) |
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Other Orthogonal Coordinate Systems |
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55 | (4) |
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Cylindrical Coordinates (r, &thetas;, z) |
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57 | (1) |
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Spherical Coordinates (r, &thetas;, &phis;) |
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58 | (1) |
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Plane Polar Coordinates (r, &thetas;) |
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58 | (1) |
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59 | (2) |
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61 | (4) |
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Stress-Strain Relationships (Rheology) |
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65 | (34) |
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65 | (7) |
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72 | (2) |
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Simple Viscoelastic Behavior |
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74 | (6) |
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Fitting Laboratory Data with Viscoelastic Models |
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80 | (3) |
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Elastic-Viscoelastic Analogy |
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83 | (3) |
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Elasticity and Plasticity |
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86 | (1) |
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Yield of Ductile Materials |
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87 | (3) |
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Yield (Slip) of Brittle Materials |
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90 | (3) |
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93 | (6) |
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Strategies for Elastic Analysis and Design |
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99 | (28) |
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99 | (2) |
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101 | (1) |
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102 | (3) |
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Direct Determination of Displacements |
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102 | (1) |
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Direct Determination of Stresses |
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103 | (2) |
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105 | (1) |
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Two-Dimensional Stress Formulation |
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106 | (2) |
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Types of Partial Differential Field Equations |
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108 | (1) |
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Properties of Elliptic Equations |
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109 | (3) |
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The Conjugate Relationship Between Mean Stress and Rotation |
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112 | (8) |
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The Deviatoric Field and Photoelasticity |
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120 | (3) |
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123 | (1) |
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124 | (3) |
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127 | (18) |
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127 | (1) |
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128 | (2) |
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130 | (3) |
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Uniform Acceleration of the Half-space |
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133 | (2) |
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Pure Bending of Prismatic Bars |
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135 | (5) |
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140 | (2) |
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142 | (3) |
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Two-Dimensional Solutions for Straight and Circular Beams |
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145 | (36) |
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The Classic Stress-Function Approach |
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145 | (1) |
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Airy's Stress Function in Cartesian Coordinates |
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146 | (2) |
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Polynomial Solutions and Straight Beams |
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148 | (9) |
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Polar Coordinates and Airy's Stress Function |
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157 | (5) |
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Simplified Analysis of Curved Beams |
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162 | (3) |
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Pure bending of a Beam of Circular Arc |
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165 | (6) |
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Circular Beams with End Loads |
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171 | (3) |
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174 | (1) |
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175 | (6) |
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Ring, Holes, and Inverse Problems |
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181 | (62) |
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Lames Solution for Rings under Pressure |
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181 | (6) |
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Small Circular Holes in Plates, Tunnels, and Inclusions |
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187 | (11) |
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187 | (7) |
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194 | (3) |
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197 | (1) |
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Harmonic Holes and the Inverse Problem |
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198 | (5) |
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198 | (5) |
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Harmonic Holes for Free Fields |
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203 | (10) |
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Harmonic Holes for Biaxial Fields |
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203 | (6) |
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Harmonic Holes for Gradient Fields |
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209 | (4) |
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213 | (7) |
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Solution Tactics for Neutral Holes---Examples |
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220 | (13) |
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222 | (1) |
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223 | (2) |
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225 | (1) |
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Gradient Fields with an Isotropic Component |
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226 | (3) |
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229 | (4) |
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233 | (5) |
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Disk of Constant Thickness |
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233 | (3) |
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Variable Thickness and the Inverse Problem |
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236 | (2) |
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238 | (5) |
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Wedges and the Half-Space |
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243 | (48) |
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Concentrated Loadings at the Apex |
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243 | (8) |
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251 | (5) |
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Uniform Loading over a Finite Width |
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256 | (1) |
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Nonuniform Loadings on the Half-Space |
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257 | (2) |
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Line Loads within the Half-Space |
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259 | (2) |
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Diametric Loading of a Circular Disk |
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261 | (2) |
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Wedges with Constant Body Forces |
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263 | (7) |
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Corner Effects---Eigenfunction Strategy |
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270 | (2) |
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272 | (19) |
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291 | (30) |
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Elementary (Linear) Solution |
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291 | (1) |
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St. Venant's Formulation (Noncircular Cross-Sections) |
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292 | (5) |
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295 | (2) |
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Prandtl's Stress Function |
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297 | (4) |
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301 | (6) |
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Thin-Walled Tubes of Arbitrary Shape |
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307 | (4) |
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Hydrodynamic Analogy and Stress Concentration |
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311 | (4) |
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315 | (6) |
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321 | (26) |
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Plastic Material Behavior |
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321 | (2) |
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Plastic Structural Behavior |
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323 | (1) |
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Plasticity Field Equations |
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324 | (2) |
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326 | (3) |
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Limit Load by a ``Work'' Calculation |
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329 | (3) |
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Theorems of Limit Analysis |
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332 | (1) |
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332 | (3) |
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335 | (2) |
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Example---The Bearing Capacity (Indentation) Problem |
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337 | (4) |
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337 | (2) |
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339 | (2) |
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341 | (6) |
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One-Dimensional Plasticity for Design |
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347 | (42) |
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347 | (5) |
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352 | (2) |
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Limit Load (Collapse) of Beams |
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354 | (3) |
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Limit Analysis of Frames and Arches |
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357 | (4) |
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361 | (8) |
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369 | (6) |
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Sand-Hill and Roof Analogies |
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370 | (2) |
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Sections with Holes and Keyways |
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372 | (3) |
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Combined Torsion with Tension and/or Bending |
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375 | (3) |
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378 | (11) |
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389 | (48) |
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Mohr-Coulomb Criterion (Revisited) |
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389 | (5) |
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Lateral ``Pressures'' and the Retaining Wall Problem |
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394 | (5) |
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Graphic Analysis and Minimization |
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399 | (3) |
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402 | (3) |
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Purely Cohesive Materials (&phis; = 0) |
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405 | (2) |
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Weightless Material (γ = 0) |
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407 | (1) |
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Retaining Wall Solution for &phis; = 0 (EPS Material) |
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408 | (4) |
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Comparison to the Coulomb Solution (&phis; = 0) |
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412 | (2) |
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Other Special Cases: Slopes and Footings (&phis; = 0) |
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414 | (3) |
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Solutions for Weightless Mohr-Coulomb Materials |
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417 | (5) |
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422 | (3) |
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An Approximate ``Coulomb Mechanism'' |
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425 | (5) |
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430 | (7) |
| Index |
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437 | |
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