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1 | (14) |
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1.1 Engineering and Mechanics |
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2 | (1) |
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2 | (2) |
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3 | (1) |
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Calculators and Computers |
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3 | (1) |
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3 | (1) |
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4 | (3) |
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4 | (1) |
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4 | (1) |
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5 | (1) |
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6 | (1) |
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7 | (8) |
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International System of Units |
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7 | (1) |
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8 | (1) |
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8 | (1) |
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9 | (6) |
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15 | (62) |
| Vector Operations and Definitions |
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16 | (8) |
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16 | (1) |
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2.2 Rules for Manipulating Vectors |
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16 | (8) |
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16 | (2) |
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Product of a Scalar and a Vector |
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18 | (1) |
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19 | (1) |
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19 | (1) |
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19 | (5) |
| Cartesian Components |
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24 | (28) |
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2.3 Components in Two Dimensions |
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24 | (14) |
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Manipulating Vectors in Terms of Components |
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24 | (1) |
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Position Vectors in Terms of Components |
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25 | (13) |
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2.4 Components in Three Dimensions |
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38 | (14) |
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Magnitude of a Vector in Terms of Components |
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39 | (1) |
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40 | (1) |
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Position Vectors in Terms of Components |
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41 | (1) |
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Components of a Vector Parallel to a Given Line |
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41 | (11) |
| Products of Vectors |
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52 | (535) |
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52 | (9) |
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52 | (1) |
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Dot Products in Terms of Components |
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53 | (1) |
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Vector Components Parallel and Perpendicular to a Line |
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54 | (7) |
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61 | (4) |
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61 | (1) |
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Cross Products in Terms of Components |
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62 | (2) |
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Evaluating a 3 x 3 Determinant |
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64 | (1) |
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2.7 Mixed Triple Products |
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65 | (7) |
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72 | (2) |
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74 | (3) |
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77 | (44) |
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78 | (6) |
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79 | (1) |
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79 | (5) |
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3.2 Equilibrium and Free-Body Diagrams |
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84 | (3) |
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3.3 Two-Dimensional Force Systems |
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87 | (16) |
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APPLICATION TO ENGINEERING: STEADY FLIGHT |
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92 | (11) |
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3.4 Three-Dimensional Force Systems |
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103 | (12) |
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110 | (5) |
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115 | (2) |
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117 | (4) |
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4 Systems of Forces and Moments |
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121 | (84) |
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4.1 Two-Dimensional Description of the Moment |
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122 | (12) |
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134 | (14) |
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134 | (1) |
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134 | (3) |
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Relation to the Two-Dimensional Description |
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137 | (1) |
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138 | (10) |
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4.3 Moment of a Force About a Line |
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148 | (12) |
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149 | (1) |
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150 | (2) |
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152 | (8) |
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160 | (11) |
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171 | (5) |
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4.6 Representing Systems by Equivalent Systems |
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176 | (22) |
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Representing a System by a Force and a Couple |
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176 | (6) |
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Representing a System by a Wrench |
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182 | (14) |
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196 | (2) |
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198 | (2) |
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200 | (5) |
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205 | (68) |
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5.1 The Equilibrium Equations |
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206 | (1) |
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5.2 Two-Dimensional Applications |
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207 | (12) |
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207 | (4) |
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211 | (1) |
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The Scalar Equilibrium Equations |
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212 | (7) |
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5.3 Statically Indeterminate Objects |
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219 | (18) |
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219 | (3) |
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222 | (2) |
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APPLICATION TO ENGINEERING: DESIGN FOR HUMAN FACTORS |
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224 | (13) |
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5.4 Three-Dimensional Applications |
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237 | (18) |
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237 | (4) |
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The Scalar Equilibrium Equations |
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241 | (14) |
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5.5 Two-Force and Three-Force Members |
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255 | (12) |
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255 | (1) |
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256 | (8) |
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264 | (3) |
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267 | (1) |
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268 | (5) |
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6 Structures in Equilibrium |
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273 | (60) |
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274 | (2) |
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276 | (13) |
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APPLICATION TO ENGINEERING: BRIDGE DESIGN |
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282 | (7) |
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6.3 The Method of Sections |
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289 | (6) |
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295 | (4) |
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299 | (30) |
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Analysing the Entire Structure |
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300 | (1) |
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300 | (26) |
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326 | (3) |
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329 | (1) |
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330 | (3) |
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7 Centroids and Centres of Mass |
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333 | (52) |
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334 | (19) |
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334 | (1) |
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335 | (4) |
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339 | (1) |
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339 | (4) |
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343 | (10) |
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353 | (21) |
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353 | (1) |
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354 | (1) |
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355 | (9) |
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APPLICATION TO ENGINEERING: CENTRES OF MASS OF VEHICLES |
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364 | (10) |
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7.3 The Pappus-Guldinus Theorems |
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374 | (5) |
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374 | (1) |
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374 | (5) |
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379 | (1) |
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380 | (5) |
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385 | (34) |
| Areas |
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386 | (33) |
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386 | (7) |
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8.2 Parallel-Axis Theorems |
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393 | (14) |
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APPLICATION TO ENGINEERING: BEAM DESIGN |
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400 | (7) |
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8.3 Rotated and Principal Axes |
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407 | (12) |
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407 | (2) |
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409 | (4) |
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413 | (6) |
| Masses |
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419 | (168) |
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419 | (5) |
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419 | (1) |
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420 | (4) |
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8.5 Parallel-Axis Theorem |
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424 | (10) |
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434 | (1) |
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435 | (4) |
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439 | (64) |
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9.1 Loads Distributed Along a Line |
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440 | (8) |
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9.2 Internal Forces and Moments in Beams |
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448 | (8) |
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9.3 Shear Force and Bending Moment Diagrams |
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456 | (7) |
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9.4 Relations Between Distributed Load, Shear Force and Bending Moment |
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463 | (8) |
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9.5 Distributed Loads on Cables |
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471 | (9) |
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Loads Distributed Uniformly Along a Horizontal Line |
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471 | (4) |
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Loads Distributed Uniformly Along the Cable |
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475 | (5) |
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9.6 Discrete Loads on Cables |
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480 | (7) |
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484 | (3) |
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487 | (11) |
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Definitions of the Pressure and Centre of Pressure |
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487 | (2) |
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Pressure Distribution in a Stationary Liquid |
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489 | (9) |
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498 | (2) |
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500 | (3) |
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503 | (54) |
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10.1 Theory of Dry Friction |
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504 | (16) |
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505 | (2) |
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507 | (13) |
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520 | (31) |
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520 | (3) |
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523 | (8) |
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531 | (2) |
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Thrust Bearings and Clutches |
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533 | (7) |
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540 | (3) |
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APPLICATION TO ENGINEERING: BELTS AND PULLEYS |
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543 | (5) |
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548 | (3) |
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551 | (2) |
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553 | (4) |
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11 Virtual Work and Potential Energy |
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557 | (30) |
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558 | (13) |
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558 | (1) |
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Principle of Virtual Work |
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559 | (2) |
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Application to Structures |
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561 | (10) |
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571 | (13) |
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Examples of Conservative Forces |
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571 | (2) |
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Principle of Virtual Work for Conservative Forces |
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573 | (1) |
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573 | (9) |
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582 | (2) |
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584 | (1) |
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585 | (2) |
| Appendices |
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587 | (7) |
| A Review of Mathematics |
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587 | (3) |
| B Properties of Areas and Lines |
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590 | (2) |
| C Properties of Volumes and Homogeneous Objects |
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592 | (2) |
| Answers to Even-Numbered Problems |
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594 | (10) |
| Index |
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604 | |
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