Preface |
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xiii | |
About the Authors |
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xxi | |
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2 | (16) |
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Engineering and Mechanics |
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4 | (1) |
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4 | (1) |
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4 | (1) |
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Calculators and Computers |
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5 | (1) |
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5 | (1) |
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Subsequent Use of This Text |
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5 | (1) |
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5 | (3) |
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6 | (1) |
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7 | (1) |
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8 | (5) |
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International System of Units |
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8 | (1) |
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9 | (1) |
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9 | (1) |
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10 | (3) |
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13 | (5) |
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18 | (65) |
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Vector Operations and Definitions |
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20 | (1) |
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20 | (1) |
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Rules for Manipulating Vectors |
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21 | (8) |
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21 | (2) |
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Product of a Scalar and a Vector |
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23 | (1) |
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23 | (1) |
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23 | (1) |
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24 | (5) |
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29 | (1) |
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Components in Two Dimensions |
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29 | (13) |
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Manipulating Vectors in Terms of Components |
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30 | (1) |
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Position Vectors in Terms of Components |
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30 | (12) |
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Components in Three Dimensions |
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42 | (16) |
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Magnitude of a Vector in Terms of Components |
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43 | (1) |
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44 | (1) |
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Position Vectors in Terms of Components |
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45 | (1) |
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Components of a Vector Parallel to a Given Line |
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45 | (13) |
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58 | (1) |
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58 | (9) |
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58 | (1) |
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Dot Products in Terms of Components |
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59 | (1) |
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Vector Components Parallel and Normal to a Line |
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60 | (7) |
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67 | (2) |
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67 | (1) |
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Cross Products in Terms of Components |
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67 | (1) |
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Evaluating a 3 x 3 Determinant |
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68 | (1) |
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69 | (14) |
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76 | (2) |
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78 | (5) |
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83 | (41) |
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84 | (5) |
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84 | (1) |
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84 | (1) |
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85 | (4) |
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Equilibrium and Free-Body Diagrams |
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89 | (2) |
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Two-Dimensional Force Systems |
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91 | (15) |
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Application to Engineering: Steady Flight |
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95 | (11) |
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Three-Dimensional Force Systems |
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106 | (18) |
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114 | (4) |
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118 | (2) |
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120 | (4) |
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Systems of Forces and Moments |
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124 | (76) |
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Two-Dimensional Description of the Moment |
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126 | (22) |
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137 | (1) |
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137 | (1) |
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137 | (2) |
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Relation to the Two-Dimensional Description |
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139 | (1) |
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140 | (8) |
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Moment of a Force About a Line |
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148 | (13) |
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148 | (2) |
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150 | (4) |
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Application to Engineering: Rotating Machines |
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154 | (7) |
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161 | (9) |
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170 | (4) |
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Conditions for Equivalence |
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170 | (1) |
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Demonstration of Equivalence |
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170 | (4) |
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Representing Systems by Equivalent Systems |
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174 | (26) |
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Representing a System by a Force and a Couple |
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175 | (5) |
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Representing a System by a Wrench |
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180 | (10) |
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190 | (3) |
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193 | (1) |
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194 | (6) |
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200 | (60) |
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The Equilibrium Equations |
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202 | (1) |
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Two-Dimensional Applications |
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202 | (21) |
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203 | (3) |
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206 | (1) |
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The Scalar Equilibrium Equations |
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207 | (5) |
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Application to Engineering: Design for Human Factors |
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212 | (11) |
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Statically Indeterminate Objects |
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223 | (6) |
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223 | (2) |
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225 | (4) |
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Three-Dimensional Applications |
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229 | (16) |
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229 | (5) |
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The Scalar Equilibrium Equations |
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234 | (11) |
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Two-Force and Three-Force Members |
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245 | (15) |
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245 | (2) |
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247 | (5) |
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252 | (2) |
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254 | (2) |
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256 | (4) |
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Structures in Equilibrium |
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260 | (56) |
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262 | (2) |
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264 | (11) |
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Application to Engineering: Bridge Design |
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268 | (7) |
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275 | (5) |
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280 | (4) |
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284 | (32) |
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Analyzing the Entire Structure |
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285 | (1) |
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285 | (22) |
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307 | (3) |
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310 | (1) |
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311 | (5) |
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Centroids and Centers of Mass |
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316 | (58) |
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318 | (1) |
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319 | (6) |
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Centroids of Composite Areas |
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325 | (6) |
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331 | (6) |
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Describing a Distributed Load |
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331 | (1) |
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Determining Force and Moment |
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331 | (1) |
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332 | (5) |
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Centroids of Volumes and Lines |
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337 | (12) |
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338 | (5) |
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Centroids of Composite Volumes and Lines |
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343 | (6) |
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The Pappus-Guldinus Theorems |
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349 | (5) |
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349 | (1) |
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350 | (4) |
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354 | (1) |
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Definition of the Center of Mass |
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354 | (1) |
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Centers of Mass of Objects |
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355 | (5) |
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Centers of Mass of Composite Objects |
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360 | (14) |
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Application to Engineering: Centers of Mass of Vehicles |
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363 | (4) |
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367 | (2) |
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369 | (5) |
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374 | (48) |
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376 | (1) |
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376 | (7) |
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383 | (12) |
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Application to Engineering: Beam Design |
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389 | (6) |
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Rotated and Principal Axes |
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395 | (10) |
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396 | (1) |
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Moment of Inertia About the x' Axis |
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396 | (1) |
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Moment of Inertia About the y' Axis |
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397 | (1) |
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397 | (3) |
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400 | (5) |
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405 | (1) |
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405 | (3) |
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405 | (1) |
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406 | (2) |
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408 | (14) |
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417 | (2) |
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419 | (3) |
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422 | (54) |
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424 | (18) |
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425 | (2) |
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427 | (15) |
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442 | (34) |
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443 | (2) |
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445 | (7) |
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452 | (2) |
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Thrust Bearings and Clutches |
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454 | (6) |
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460 | (3) |
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Application to Engineering: Belts and Pulleys |
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463 | (5) |
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468 | (3) |
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471 | (1) |
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472 | (4) |
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Internal Forces and Moments |
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476 | (52) |
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478 | (1) |
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Axial Force, Shear Force, and Bending Moment |
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478 | (6) |
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Shear Force and Bending Moment Diagrams |
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484 | (6) |
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Relations Between Distributed Load, Shear Force, and Bending Moment |
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490 | (7) |
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497 | (1) |
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Loads Distributed Uniformly Along Straight Lines |
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497 | (4) |
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497 | (1) |
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498 | (1) |
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498 | (3) |
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Loads Distributed Uniformly Along Cables |
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501 | (5) |
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501 | (1) |
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502 | (1) |
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502 | (4) |
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506 | (7) |
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Determining the Configuration and Tensions |
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506 | (1) |
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Comments on Continuous and Discrete Models |
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507 | (3) |
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510 | (3) |
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513 | (1) |
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Pressure and the Center of Pressure |
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513 | (2) |
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Pressure in a Stationary Liquid |
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515 | (13) |
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524 | (1) |
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525 | (3) |
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Virtual Work and Potential Energy |
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528 | (35) |
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530 | (11) |
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530 | (1) |
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Principle of Virtual Work |
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531 | (2) |
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Application to Structures |
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533 | (8) |
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541 | (15) |
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Examples of Conservative Forces |
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541 | (2) |
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Principle of Virtual Work for Conservative Forces |
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543 | (1) |
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543 | (7) |
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550 | (2) |
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552 | (1) |
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553 | (3) |
APPENDICES |
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556 | (3) |
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556 | (1) |
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556 | (1) |
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557 | (1) |
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557 | (1) |
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558 | (1) |
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558 | (1) |
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B Properties of Areas and Lines |
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559 | |
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559 | (1) |
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560 | |
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C Properties of Volumes and Homogeneous Objects |
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556 | (7) |
Answers to Even-Numbered Problems |
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563 | (10) |
Index |
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573 | |