Preface |
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xi | |
Author |
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xiii | |
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1 | (48) |
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1 | (3) |
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1.2 Beam systems with axial symmetry |
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4 | (5) |
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1.3 Beam systems with axial skew-symmetry |
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9 | (4) |
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1.4 Beam systems with polar symmetry |
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13 | (1) |
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1.5 Beam systems with polar skew-symmetry |
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14 | (3) |
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17 | (10) |
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1.7 Translating-node frames |
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27 | (8) |
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1.8 Thermal loads and imposed displacements |
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35 | (5) |
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1.9 Frames with nonorthogonal beams |
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40 | (4) |
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1.10 Frames loaded out of their own plane |
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44 | (5) |
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2 Statically indeterminate beam systems: method of displacements |
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49 | (26) |
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49 | (1) |
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2.2 Parallel-arranged bar systems |
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49 | (5) |
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2.3 Parallel-arranged beam systems |
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54 | (4) |
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2.4 Automatic computation of beam systems with multiple degrees of indeterminacy |
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58 | (7) |
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65 | (2) |
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67 | (2) |
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69 | (2) |
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2.8 Space trusses and frames |
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71 | (4) |
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75 | (38) |
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75 | (1) |
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75 | (7) |
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3.3 Sophie Germain's equation |
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82 | (2) |
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3.4 Shells with double curvature |
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84 | (4) |
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3.5 Nonsymmetrically loaded shells of revolution |
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88 | (3) |
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3.6 Symmetrically loaded shells of revolution |
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91 | (2) |
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3.7 Membranes and thin shells of revolution |
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93 | (4) |
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97 | (7) |
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104 | (2) |
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3.10 Cylindrical pressurized vessels with bottoms |
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106 | (4) |
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3.11 Three-dimensional bodies of revolution |
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110 | (3) |
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113 | (16) |
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113 | (1) |
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4.2 Single-degree-of-freedom system |
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113 | (3) |
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4.3 Principle of minimum total potential energy |
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116 | (2) |
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118 | (3) |
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4.5 Application of the principle of virtual work |
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121 | (6) |
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4.6 Kinematic boundary conditions |
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127 | (2) |
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5 Dynamics of discrete systems |
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129 | (32) |
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129 | (1) |
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129 | (8) |
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5.2.1 Undamped free vibrations (c = 0) |
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131 | (1) |
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5.2.2 Damped free vibrations (c < 0) |
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132 | (5) |
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5.3 Harmonic loading and resonance |
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137 | (5) |
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137 | (1) |
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5.3.2 Systems with viscous damping |
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138 | (4) |
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142 | (1) |
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143 | (3) |
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5.6 General dynamic loading |
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146 | (3) |
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5.7 Nonlinear elastic systems |
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149 | (3) |
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5.8 Elastic-perfectly plastic spring |
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152 | (2) |
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5.9 Linear elastic systems with two or more degrees of freedom |
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154 | (2) |
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156 | (2) |
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5.11 Stodola-Vianello method |
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158 | (3) |
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6 Dynamics of continuous elastic systems |
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161 | (42) |
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161 | (1) |
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6.2 Modal analysis of deflected beams |
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162 | (3) |
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6.3 Different boundary conditions for the single beam |
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165 | (8) |
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6.3.1 Simply supported beam |
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165 | (2) |
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167 | (1) |
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168 | (1) |
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169 | (1) |
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6.3.5 Double clamped beam |
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170 | (2) |
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6.3.6 Clamped-hinged beam |
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172 | (1) |
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6.4 Continuous beam on three or more supports |
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173 | (2) |
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6.5 Method of approximation of rayleigh-ritz |
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175 | (5) |
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6.6 Dynamics of beam systems |
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180 | (2) |
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6.7 Forced oscillations of shear-type multistory frames |
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182 | (7) |
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189 | (4) |
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193 | (2) |
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6.10 Dynamics of shells and three-dimensional elastic solids |
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195 | (5) |
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6.11 Dynamics of elastic solids with linear viscous damping |
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200 | (3) |
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7 Buckling instability in slender, thin, and shallow structures |
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203 | (50) |
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203 | (1) |
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7.2 Discrete mechanical systems with one degree of freedom |
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204 | (2) |
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7.3 Discrete mechanical systems with two or more degrees of freedom |
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206 | (8) |
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7.4 Rectilinear elastic beams with different constraint conditions |
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214 | (9) |
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223 | (4) |
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7.6 Rings and cylindrical shells subjected to external pressure |
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227 | (4) |
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7.7 Lateral torsional buckling |
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231 | (3) |
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7.8 Plates subjected to compression |
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234 | (5) |
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7.9 Shallow arches and shells subjected to vertical loading: interaction between buckling and snap-through |
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239 | (5) |
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7.10 Trussed vaults and domes: the case of progressive snap-through |
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244 | (9) |
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8 Long-span structures: dynamics and buckling |
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253 | (40) |
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253 | (1) |
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8.2 Influence of dead loads on natural frequencies |
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254 | (1) |
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8.3 Discrete systems with one or two degrees of freedom |
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254 | (7) |
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8.4 Flexural oscillations of beams subjected to compression axial loads |
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261 | (3) |
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8.5 Oscillations and lateral torsional buckling of deep beams |
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264 | (2) |
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8.6 Finite element formulation for beams, plates, and shells |
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266 | (4) |
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8.7 Nonconservative loading and flutter |
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270 | (7) |
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8.8 Wind effects on long-span suspension or cable-stayed bridges |
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277 | (1) |
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278 | (2) |
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280 | (3) |
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283 | (10) |
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9 High-rise structures: statics and dynamics |
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293 | (36) |
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293 | (1) |
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9.2 Parallel-arranged system of vertical cantilevers: general algorithm |
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294 | (7) |
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9.3 Vlasov's theory of thin-walled open-section beams in torsion |
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301 | (8) |
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9.4 Capurso's method: lateral loading distribution between the thin-walled open-section vertical cantilevers of a tall building |
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309 | (5) |
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9.5 Diagonalization of Vlasov's equations |
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314 | (2) |
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9.6 Dynamic analysis of tall buildings |
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316 | (3) |
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319 | (10) |
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329 | (60) |
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329 | (3) |
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10.2 Elastic-plastic flexure |
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332 | (6) |
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10.3 Incremental plastic analysis of beam systems |
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338 | (13) |
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10.4 Law of normality of incremental plastic deformation and of convexity of plastic limit surface |
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351 | (3) |
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10.5 Theorems of plastic limit analysis |
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354 | (3) |
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10.5.1 Theorem of maximum dissipated energy |
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354 | (1) |
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10.5.2 Static theorem (upper bound theorem) |
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355 | (1) |
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10.5.3 Kinematic theorem (lower bound theorem) |
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356 | (1) |
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356 | (1) |
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10.5.5 Theorem of addition of material |
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356 | (1) |
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10.6 Beam systems loaded proportionally by concentrated forces |
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357 | (5) |
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10.7 Beam systems loaded proportionally by distributed forces |
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362 | (9) |
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10.8 Nonproportionally loaded beam systems |
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371 | (4) |
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10.9 Cyclic loading and shake-down |
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375 | (4) |
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10.10 Deflected circular plates |
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379 | (4) |
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10.11 Deflected rectangular plates |
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383 | (6) |
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11 Plane stress and plane strain conditions |
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389 | (38) |
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389 | (1) |
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11.2 Plane stress condition |
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389 | (3) |
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11.3 Plane strain condition |
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392 | (2) |
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394 | (5) |
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11.5 Thick-walled cylinder |
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399 | (5) |
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11.6 Circular hole in a plate subjected to tension |
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404 | (4) |
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11.7 Concentrated force acting on the edge of an elastic half-plane |
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408 | (3) |
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11.8 Analytical functions |
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411 | (4) |
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11.9 Kolosoff-Muskhelishvili method |
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415 | (5) |
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11.10 Elliptical hole in a plate subjected to tension |
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420 | (7) |
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427 | (66) |
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427 | (2) |
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12.2 Griffith's energy criterion |
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429 | (4) |
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12.3 Westergaard's method |
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433 | (9) |
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12.4 Mode II and mixed modes |
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442 | (4) |
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446 | (5) |
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12.6 Relation between energy and stress treatments: Irwin's theorem |
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451 | (7) |
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12.7 Crack branching criterion in mixed mode condition |
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458 | (4) |
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12.8 Plastic zone at the crack tip |
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462 | (4) |
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12.9 Size effects and ductile-brittle transition |
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466 | (6) |
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12.10 Cohesive crack model and snap-back instability |
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472 | (10) |
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12.11 Eccentric compression on a cracked beam: opening versus closing of the crack |
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482 | (2) |
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12.12 Stability of fracturing process in reinforced concrete beams: the bridged crack model |
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484 | (9) |
References |
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493 | (4) |
Appendix I |
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497 | (4) |
Appendix II |
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501 | (4) |
Appendix III |
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505 | (2) |
Appendix IV |
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507 | (4) |
Appendix V |
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511 | (10) |
Appendix VI |
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521 | (4) |
Appendix VII |
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525 | (2) |
Index |
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527 | |