Preface |
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xiii | |
Authors |
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xv | |
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1 | (68) |
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1 | (1) |
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1 | (7) |
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1 | (2) |
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3 | (1) |
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4 | (4) |
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1.3 Normal and Shearing Stresses |
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8 | (12) |
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8 | (2) |
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10 | (1) |
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10 | (1) |
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1.3.4 Stresses on Inclined Planes |
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11 | (2) |
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13 | (1) |
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13 | (7) |
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1.4 Normal Strain and Stress-Strain Diagrams |
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20 | (14) |
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20 | (1) |
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21 | (1) |
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21 | (1) |
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1.4.4 Mechanical Properties |
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21 | (8) |
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1.4.5 Design Considerations |
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29 | (5) |
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1.5 Load-Deformation Relations |
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34 | (9) |
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1.6 Statically Indeterminate Members |
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43 | (13) |
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1.6.1 Temperature Effects |
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47 | (9) |
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*1.7 Stress Concentration |
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56 | (4) |
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60 | (9) |
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65 | (4) |
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Chapter 2 Torsional Loads |
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69 | (80) |
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69 | (1) |
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69 | (9) |
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2.2.1 Concentrated Torque |
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69 | (1) |
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70 | (1) |
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2.2.3 Distributed Torques |
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71 | (7) |
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2.3 Stresses and Deformations in Circular Shafts |
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78 | (18) |
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78 | (1) |
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79 | (1) |
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2.3.3 Shearing Stress and Shearing Deformation |
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79 | (3) |
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2.3.4 Material Properties in Shear |
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82 | (1) |
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83 | (1) |
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2.3.6 Stresses on Inclined Planes |
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83 | (13) |
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2.4 Statically Indeterminate Shafts |
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96 | (7) |
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2.5 Design of Power-Transmission Shafts |
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103 | (1) |
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2.6 Stresses under Combined Loads |
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104 | (7) |
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2.6.1 Hooke's Law in Two Dimensions |
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106 | (5) |
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*2.7 Stress Concentration |
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111 | (2) |
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113 | (7) |
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*2.9 Shafts of Noncircular Cross Sections |
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120 | (19) |
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2.9.1 Analytical Solutions |
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120 | (3) |
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2.9.2 Experimental Solutions |
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123 | (4) |
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2.9.3 Application to Torsion of a Long, Thin Rectangle |
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127 | (2) |
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129 | (1) |
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2.9.4.1 Narrow Circular Section with Thin Slit |
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129 | (1) |
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2.9.4.2 Sections Composed of Narrow Rectangles |
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129 | (2) |
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2.9.5 Application to Torsion of Thin-Walled Tubes |
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131 | (8) |
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*2.10 Elastoplastic Behavior |
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139 | (10) |
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145 | (4) |
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Chapter 3 Bending Loads: Stresses |
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149 | (62) |
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149 | (1) |
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3.2 Internal Shear and Moment |
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150 | (10) |
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3.2.1 Shear and Moment at Specified Positions |
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150 | (1) |
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151 | (2) |
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3.2.3 Shear and Moment Functions: Shear and Moment Diagrams |
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153 | (7) |
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3.3 Load, Shear, and Moment Relationships |
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160 | (6) |
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3.4 Bending Stresses under Symmetric Loading |
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166 | (12) |
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3.5 Shearing Stresses under Symmetric Loading |
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178 | (14) |
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3.5.1 Longitudinal Surfaces Normal to Loads |
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178 | (2) |
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180 | (12) |
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3.6 Stresses under Combined Loads |
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192 | (7) |
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3.7 Allowable-Stress Design |
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199 | (3) |
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*3.8 Stress Concentration |
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202 | (9) |
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207 | (4) |
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*Chapter 4 Bending Loads: Additional Stress Topics |
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211 | (68) |
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211 | (1) |
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4.2 Beams of Two or Three Materials Loaded Symmetrically |
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211 | (12) |
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211 | (4) |
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4.2.2 Application to Reinforced Concrete |
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215 | (8) |
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4.3 Bending Stresses under Unsymmetric Loading |
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223 | (11) |
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4.3.1 Arbitrary Centroidal Axes |
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223 | (2) |
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4.3.2 Principal Centroidal Axes |
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225 | (9) |
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4.4 Thin-Walled Open Sections: Shear Center |
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234 | (13) |
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234 | (6) |
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4.4.2 Unsymmetric Bending |
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240 | (7) |
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247 | (7) |
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4.6 Elastoplastic Behavior: Plastic Hinge |
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254 | (11) |
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254 | (2) |
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256 | (9) |
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265 | (14) |
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275 | (4) |
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Chapter 5 Bending Loads: Deflections under Symmetric Loading |
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279 | (64) |
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279 | (1) |
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5.2 Moment-Curvature Relationship |
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280 | (2) |
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5.3 Deflection: Two Successive Integrations |
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282 | (13) |
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5.4 Derivatives of the Deflection Function |
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295 | (4) |
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5.5 Deflection: Superposition |
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299 | (4) |
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5.6 Deflection: Area-Moment |
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303 | (16) |
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5.6.1 Moment Diagrams by Cantilever Parts |
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307 | (12) |
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5.7 Statically Indeterminate Beams: Two Successive Integrations |
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319 | (8) |
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5.8 Statically Indeterminate Beams: Superposition |
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327 | (6) |
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5.9 Statically Indeterminate Beams: Area-Moment |
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333 | (10) |
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338 | (5) |
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*Chapter 6 Bending Loads: Additional Deflection Topics |
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343 | (46) |
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343 | (1) |
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6.2 Deflection: Singularity Functions |
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343 | (10) |
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6.3 Deflection: Castigliano's Second Theorem |
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353 | (8) |
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6.4 Deflection: Unsymmetric Bending Loads |
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361 | (5) |
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6.5 Statically Indeterminate Beams: Singularity Functions |
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366 | (7) |
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6.6 Statically Indeterminate Beams: Castigliano's Second Theorem |
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373 | (7) |
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380 | (9) |
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386 | (3) |
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Chapter 7 Analysis of Stress |
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389 | (86) |
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389 | (1) |
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389 | (1) |
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390 | (2) |
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7.4 Plane-Stress Transformation Equations |
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392 | (18) |
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7.4.1 Stresses on Inclined Planes |
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392 | (4) |
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396 | (2) |
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7.4.3 Maximum In-Plane Shearing Stress |
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398 | (12) |
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7.5 Mohr's Circle for Plane Stress |
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410 | (17) |
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7.5.1 Construction of Mohr's Circle |
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410 | (2) |
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7.5.2 Principal Stresses and Maximum In-Plane Shearing Stress |
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412 | (7) |
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7.5.3 Stresses on Inclined Planes |
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419 | (8) |
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*7.6 Three-Dimensional Stress Systems |
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427 | (14) |
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7.6.1 Mohr's Circle for Triaxial Stress Systems: Absolute Maximum Shearing Stress |
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432 | (9) |
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7.7 Thin-Walled Pressure Vessels |
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441 | (6) |
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7.7.1 Cylindrical Vessels |
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441 | (2) |
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443 | (4) |
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*7.8 Thick-Walled Cylindrical Pressure Vessels |
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447 | (10) |
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447 | (3) |
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450 | (1) |
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450 | (1) |
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7.8.3.1 Internal Pressure Only |
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451 | (1) |
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7.8.3.2 External Pressure Only |
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451 | (2) |
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7.8.3.3 Shrink-Fitting Operations |
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453 | (1) |
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7.8.3.4 Internal Pressure on Thin-Walled Cylinders |
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454 | (3) |
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457 | (18) |
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457 | (1) |
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7.9.1.1 Maximum Principal Stress Theory |
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457 | (1) |
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458 | (2) |
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460 | (1) |
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7.9.2.1 Maximum Shearing Stress Theory |
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460 | (1) |
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7.9.2.2 The Energy of Distortion Theory |
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460 | (11) |
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471 | (4) |
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Chapter 8 Analysis of Strain |
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475 | (46) |
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475 | (1) |
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8.2 Strain at a Point: Components of Strain |
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475 | (2) |
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8.2.1 Units and Sign Conventions |
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477 | (1) |
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8.3 Plane-Strain Transformation Equations |
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477 | (11) |
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481 | (1) |
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8.3.2 Maximum In-Plane Shearing Strain |
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482 | (6) |
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8.4 Mohr's Circle for Plane Strain |
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488 | (11) |
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8.4.1 Principal Strains and Maximum In-Plane Shearing Strain |
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489 | (1) |
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490 | (5) |
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8.4.3 Development of the Relation G = E/2(1 + μ) |
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495 | (4) |
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*8.5 Three-Dimensional Hooke's Law |
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499 | (7) |
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8.5.1 Summary of Hooke's Laws in One and Two Dimensions |
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499 | (1) |
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8.5.2 Hooke's Law in Three Dimensions |
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499 | (3) |
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8.5.3 Volume Change: Bulk Modulus of Elasticity |
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502 | (1) |
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8.5.4 Strain Energy: Energy of Distortion |
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503 | (3) |
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*8.6 Mohr's Circle for Three-Dimensional Strain Systems |
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506 | (4) |
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*8.7 Strain Measurements: Strain Rosettes |
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510 | (11) |
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517 | (4) |
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521 | (72) |
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521 | (1) |
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9.2 Stability of Equilibrium |
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521 | (8) |
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9.2.1 Theoretical Background |
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521 | (2) |
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523 | (6) |
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9.3 Euler's Ideal-Column Theory |
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529 | (12) |
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9.4 Effect of End Conditions |
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541 | (7) |
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9.4.1 Critical Load for Column Fixed at One End and Free at the Other |
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541 | (2) |
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543 | (5) |
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548 | (13) |
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9.5.1 Eccentrically Loaded Pin-Ended Column |
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548 | (1) |
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549 | (1) |
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550 | (2) |
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9.5.4 Initially Bent Pin-Ended Columns |
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552 | (9) |
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9.6 Design of Centrically Loaded Columns |
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561 | (17) |
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9.6.1 Inelastic Column Buckling |
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561 | (1) |
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9.6.2 Empirical Equations |
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562 | (1) |
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563 | (1) |
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9.6.3.1 Short and Intermediate Columns |
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563 | (1) |
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563 | (15) |
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9.7 Design of Eccentrically Loaded Columns |
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578 | (15) |
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9.7.1 Allowable-Stress Method |
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578 | (1) |
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579 | (10) |
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589 | (4) |
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Chapter 10 Excel Spreadsheet Applications |
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593 | (40) |
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593 | (1) |
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10.2 Spreadsheet Applications Concepts and Techniques |
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593 | (14) |
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594 | (1) |
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10.2.2 Protecting Formula Cells |
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594 | (1) |
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594 | (3) |
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10.2.4 Using Excel Functions |
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597 | (5) |
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10.2.5 Automatic Real-Time Sorting |
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602 | (2) |
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10.2.6 Defining New Functions |
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604 | (1) |
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10.2.7 Conditional Formatting |
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605 | (1) |
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605 | (2) |
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10.3 Example 1: Drawing Shear and Moment Diagrams |
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607 | (7) |
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10.4 Example 2: Drawing Mohr's Circle |
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614 | (7) |
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10.4.1 Plotting Mohr's Circle |
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616 | (2) |
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10.4.2 State of Stress on the x' Plane |
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618 | (1) |
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10.4.3 Representation of the State of Stress on the x Plane, the y Plane, and the x' Plane on Mohr's Circle |
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619 | (2) |
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10.5 Example 3: Principal Stresses in Three-Dimensional Stress Elements |
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621 | (5) |
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10.6 Example 4: Computation of Combined Stresses |
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626 | (5) |
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10.7 Excel Spreadsheet Application Projects |
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631 | (2) |
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10.7.1 Project 10.1: Cross-Sectional Properties of a General Shape |
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631 | (1) |
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10.7.2 Project 10.2: Stresses in Statically Indeterminate Systems |
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632 | (1) |
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10.7.3 Project 10.3: Inelastic Analysis |
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632 | (1) |
Answers to Even-Numbered Problems |
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633 | (14) |
Appendix A SI Units |
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647 | (2) |
Appendix B Selected References |
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649 | (2) |
Appendix C Properties of Plane Areas |
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651 | (26) |
Appendix D Typical Physical and Mechanical Properties of Selected Materials (U.S. Units and SI Units) |
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677 | (2) |
Appendix E |
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679 | (14) |
Appendix F Design Properties for Selected Structural Wood Sections (U.S. Units and SI Units) |
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693 | (2) |
Appendix G Beam Slopes and Deflections for Selected Cases |
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695 | (2) |
Appendix H Two-Dimensional Supports and Connections |
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697 | (4) |
Index |
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701 | |