Verfügbarkeit: Introduction to engineering mechanics

Introduction to engineering mechanics: a continuum approach

"The essence of continuum mechanics is often obscured by the complex mathematics of its formulation. By building gradually from one-dimensional to two- and three-dimensional formulations, this book provides an accessible introduction to the fundamentals of solid and fluid mechanics." "...

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Bibliographische Detailangaben
Hauptverfasser:	Rossmann, Jenn Stroud (VerfasserIn), Dym, Clive L. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton CRC Press 2009
Schlagworte:	Mechanics, Applied Technische Mechanik Einführung
Online-Zugang:	Inhaltsverzeichnis
Zusammenfassung:	"The essence of continuum mechanics is often obscured by the complex mathematics of its formulation. By building gradually from one-dimensional to two- and three-dimensional formulations, this book provides an accessible introduction to the fundamentals of solid and fluid mechanics." "Introduction to Engineering Mechanics demonstrates the concepts of stress and strain in the continuum context, showing the relationships between solid and fluid behavior and the mathematics that describe them. The continuum approach underlies an integrated introduction to the mechanics of engineering materials that includes complex behavior such as nonlinearity and viscoelasticity. Detailed case studies describe real-world applications and such catastrophic failures as the collapse of the St. Francis Dam and the Hartford Civic Center. The authors demonstrate the development of the mechanics field by interweaving historical context, such as the longstanding feud between Sirs Isaac Newton and Robert Hooke, throughout the text's chapters." "Through its progressive development of ideas, this book facilitates the development of both physical intuition for how solids and fluids behave and the mathematical techniques needed to describe their behaviors."--BOOK JACKET.
Beschreibung:	XVI, 472 S. graph. Darst.
ISBN:	9781420062717 1420062719

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520	1		\|a "The essence of continuum mechanics is often obscured by the complex mathematics of its formulation. By building gradually from one-dimensional to two- and three-dimensional formulations, this book provides an accessible introduction to the fundamentals of solid and fluid mechanics." "Introduction to Engineering Mechanics demonstrates the concepts of stress and strain in the continuum context, showing the relationships between solid and fluid behavior and the mathematics that describe them. The continuum approach underlies an integrated introduction to the mechanics of engineering materials that includes complex behavior such as nonlinearity and viscoelasticity. Detailed case studies describe real-world applications and such catastrophic failures as the collapse of the St. Francis Dam and the Hartford Civic Center. The authors demonstrate the development of the mechanics field by interweaving historical context, such as the longstanding feud between Sirs Isaac Newton and Robert Hooke, throughout the text's chapters." "Through its progressive development of ideas, this book facilitates the development of both physical intuition for how solids and fluids behave and the mathematical techniques needed to describe their behaviors."--BOOK JACKET.
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adam_text	Contents Preface .........................................................................................................xv About the Authors ...................................................................................xvii 1 Introduction .........................................................................................1 1.1 A Motivating Example: Remodeling an Underwater Structure ....2 1.2 Newton s Laws: The First Principles of Mechanics .........................4 1.3 Equilibrium ...........................................................................................5 1.4 Definition of a Continuum ..................................................................6 1.5 Mathematical Basics: Scalars and Vectors .........................................9 1.6 Problem Solving ..................................................................................12 1.7 Examples ..............................................................................................13 Example 1.1..........................................................................................13 Solution .....................................................................................13 Example 1.2..........................................................................................15 Solution .....................................................................................16 1.8 Problems ..............................................................................................17 Notes .............................................................................................................18 2 Strain and Stress in One Dimension .............................................19 2.1 Kinematics: Strain ...............................................................................20 2.1.1 Normal Strain ..........................................................................20 2.1.2 Shear Strain ..............................................................................23 2.1.3 Measurement of Strain ...........................................................24 2.2 The Method of Sections and Stress ..................................................25 2.2.1 Normal Stresses ......................................................................27 2.2.2 Shear Stresses ..........................................................................28 2.3 Stress-Strain Relationships ...............................................................32 2.4 Equilibrium .........................................................................................36 2.5 Stress in Axially Loaded Bars ...........................................................37 2.6 Deformation of Axially Loaded Bars ...............................................40 2.7 Equilibrium of an Axially Loaded Bar ............................................42 2.8 Indeterminate Bars .............................................................................43 2.8.1 Force (Flexibility) Method .....................................................44 2.8.2 Displacement (Stiffness) Method ..........................................46 2.9 Thermal Effects ...................................................................................48 2.10 Saint-Venant s Principle and Stress Concentrations ......................49 2.11 Strain Energy in One Dimension .....................................................51 2.12 A Road Map for Strength of Materials ............................................53 2.13 Examples ..............................................................................................55 Example 2.1..........................................................................................55 Solution .....................................................................................55 vi Introduction to Engineering Mechanics: A Continuum Approach Example 2.2..........................................................................................56 Solution .....................................................................................57 Example 2.3..........................................................................................57 Solution .....................................................................................58 Example 2.4..........................................................................................59 Solution .....................................................................................59 Example 2.5..........................................................................................60 Solution .....................................................................................61 Example 2.6..........................................................................................62 Solution .....................................................................................62 Example 2.7..........................................................................................64 Solution .....................................................................................65 Example 2.8..........................................................................................66 Solution .....................................................................................66 Example 2.9..........................................................................................67 Solution .....................................................................................68 2.14 Problems ..............................................................................................69 Case Study 1: Collapse of the Kansas City Hyatt Regency Walkways .............................................................................................76 Problems ..............................................................................................82 Notes .............................................................................................................82 3 Strain and Stress in Higher Dimensions ......................................85 3.1 Poisson s Ratio .....................................................................................85 3.2 The Strain Tensor ................................................................................87 3.3 Strain as Relative Displacement .......................................................90 3.4 The Stress Tensor ................................................................................92 3.5 Generalized Hooke s Law ..................................................................96 3.6 Limiting Behavior ...............................................................................97 3.7 Properties of Engineering Materials ..............................................101 Ferrous Metals ...................................................................................103 Nonferrous Metals ............................................................................103 Nonmetals ..........................................................................................104 3.8 Equilibrium .......................................................................................104 3.8.1 Equilibrium Equations .........................................................105 3.8.2 The Two-Dimensional State of Plane Stress ......................107 3.8.3 The Two-Dimensional State of Plane Strain .....................108 3.9 Formulating Two-Dimensional Elasticity Problems ...................109 3.9.1 Equilibrium Expressed in Terms of Displacements .........110 3.9.2 Compatibility Expressed in Terms of Stress Functions ... Ill 3.9.3 Some Remaining Pieces of the Puzzle of General Formulations .....................................................................................112 3.10 Examples ............................................................................................114 Example 3.1........................................................................................114 Solution ...................................................................................115 Example 3.2........................................................................................116 Contents vii Solution ...................................................................................116 3.11 Problems.............................................................................................116 Notes ...........................................................................................................121 4 Applying Strain and Stress in Multiple Dimensions ................123 4.1 Torsion ................................................................................................123 4.1.1 Method of Sections ................................................................123 4.1.2 Torsionai Shear Stress: Angle of Twist and the Torsion Formula ................................................................................125 4.1.3 Stress Concentrations ...........................................................130 4.1.4 Transmission of Power by a Shaft .......................................131 4.1.5 Statically Indeterminate Problems .....................................132 4.1.6 Torsion of Inelastic Circular Members ...............................133 4.1.7 Torsion of Solid Noncircular Members ..............................135 4.1.8 Torsion of Thin-Walled Tubes .............................................138 4.2 Pressure Vessels ................................................................................141 4.3 Transformation of Stress and Strain ..............................................145 4.3.1 Transformation of Plane Stress ...........................................146 4.3.2 Principal and Maximum Stresses .......................................149 4.3.3 Mohr s Circle for Plane Stress .............................................151 4.3.4 Transformation of Plane Strain ...........................................154 4.3.5 Three-Dimensional State of Stress .....................................156 4.4 Failure Prediction Criteria ...............................................................157 4.4.1 Failure Criteria for Brittle Materials ...................................158 4.4.1.1 Maximum Normal Stress Criterion .....................158 4.4.1.2 Mohr s Criterion ......................................................159 4.4.2 Yield Criteria for Ductile Materials ....................................161 4.4.2.1 Maximum Shearing Stress (Tresca) Criterion .... 161 4.4.2.2 Von Mises Criterion ...............................................162 4.5 Examples ............................................................................................162 Example 4.1........................................................................................162 Solution ...................................................................................163 Example 4.2........................................................................................163 Solution ...................................................................................163 Example 4.3........................................................................................165 Solution ...................................................................................165 Example 4.4........................................................................................165 Solution ...................................................................................165 Example 4.5........................................................................................166 Solution ...................................................................................166 Example 4.6........................................................................................168 Solution ...................................................................................168 Example 4.7........................................................................................170 Solution ...................................................................................170 Example 4.8........................................................................................171 Solution ...................................................................................171 viii Introduction to Engineering Mechanics: A Continuum Approach Example 4.9........................................................................................172 Solution ...................................................................................172 Example 4.10......................................................................................177 Solution ...................................................................................177 Example 4.11......................................................................................180 Solution ...................................................................................180 4.6 Problems ............................................................................................183 Case Study 2: Pressure Vessel Safety .....................................................188 Why Are Pressure Vessels Spheres and Cylinders? ....................189 Why Do Pressure Vessels Fail? .......................................................194 Problems ............................................................................................197 Notes ...........................................................................................................200 5 Beams ...............................................................................................201 5.1 Calculation of Reactions ..................................................................201 5.2 Method of Sections: Axial Force, Shear, Bending Moment ........202 Axial Force in Beams ........................................................................203 Shear in Beams ..................................................................................203 Bending Moment in Beams .............................................................205 5.3 Shear and Bending Moment Diagrams .........................................206 Rules and Regulations for Shear and Bending Moment Diagrams ............................................................................................206 Shear Diagrams .....................................................................206 Moment Diagrams ................................................................207 5.4 Integration Methods for Shear and Bending Moment ................207 5.5 Normal Stresses in Beams ...............................................................210 5.6 Shear Stresses in Beams ...................................................................214 5.7 Examples ............................................................................................221 Example 5.1........................................................................................221 Solution ...................................................................................221 Example 5.2........................................................................................223 Solution ...................................................................................224 Example 5.3........................................................................................229 Solution ...................................................................................230 Example 5.4........................................................................................231 Solution ...................................................................................232 Example 5.5........................................................................................234 Solution ...................................................................................235 Example 5.6........................................................................................236 Solution ...................................................................................237 5.8 Problems ............................................................................................239 Case Study 3: Physiological Levers and Repairs ..................................241 The Forearm Is Connected to the Elbow Joint ..............................241 Fixing an Intertrochanteric Fracture .............................................245 Problems ............................................................................................247 Notes ...........................................................................................................248 Contents ix 6 Beam Deflections ............................................................................251 6.1 Governing Equation .........................................................................251 6.2 Boundary Conditions .......................................................................255 6.3 Solution of Deflection Equation by Integration ............................256 6.4 Singularity Functions ......................................................................259 6.5 Moment Area Method ......................................................................260 6.6 Beams with Elastic Supports ...........................................................264 6.7 Strain Energy for Bent Beams .........................................................266 6.8 Flexibility Revisited and Maxwell-Betti Reciprocal Theorem ... 269 6.9 Examples ............................................................................................273 Example 6.1........................................................................................273 Solution ...................................................................................273 Example 6.2........................................................................................275 Solution ...................................................................................275 Example 6.3........................................................................................278 Solution ...................................................................................278 Example 6.4........................................................................................281 Solution ...................................................................................282 6.10 Problems ............................................................................................285 Notes ...........................................................................................................288 7 Instability: Column Buckling ......................................................289 7.1 Euler s Formula .................................................................................289 7.2 Effect of Eccentricity .........................................................................294 7.3 Examples ............................................................................................298 Example 7.1........................................................................................298 Solution ...................................................................................298 Example 7.2........................................................................................300 Solution ...................................................................................301 7.4 Problems ............................................................................................303 Case Study 4: Hartford Civic Arena ......................................................304 Notes ...........................................................................................................307 8 Connecting Solid and Fluid Mechanics ......................................309 8.1 Pressure ..............................................................................................310 8.2 Viscosity .............................................................................................311 8.3 Surface Tension .................................................................................315 8.4 Governing Laws ................................................................................315 8.5 Motion and Deformation of Fluids ................................................316 8.5.1 Linear Motion and Deformation .........................................316 8.5.2 Angular Motion and Deformation .....................................317 8.5.3 Vorticity ...................................................................................319 8.5.4 Constitutive Equation (Generalized Hooke s Law) for Newtonian Fluids ............................................................321 8.6 Examples ............................................................................................322 Example 8.1........................................................................................322 χ Introduction to Engineering Mechanics: A Continuum Approach Solution ...................................................................................323 Example 8.2........................................................................................324 Solution ...................................................................................324 Example 8.3........................................................................................325 Solution ...................................................................................326 Example 8.4........................................................................................327 Solution ...................................................................................327 8.7 Problems ............................................................................................328 Case Study 5: Mechanics of Biomaterials ..............................................330 Nonlinearity ......................................................................................332 Composite Materials ........................................................................333 Viscoelasticity ....................................................................................336 Problems ............................................................................................338 Notes ...........................................................................................................339 9 Fluid Statics .....................................................................................341 9.1 Local Pressure ...................................................................................341 9.2 Force Due to Pressure ......................................................................342 9.3 Fluids at Rest .....................................................................................345 9.4 Forces on Submerged Surfaces .......................................................348 9.5 Buoyancy ............................................................................................355 9.6 Examples ............................................................................................357 Example 9.1........................................................................................357 Solution ...................................................................................357 Example^ ........................................................................................358 Solution ...................................................................................359 Example 9.3........................................................................................360 Solution ...................................................................................361 Example 9.4........................................................................................363 Solution ...................................................................................364 Example 9.5........................................................................................365 Solution ...................................................................................366 9.7 Problems ............................................................................................368 Case Study 6: St. Francis Dam ................................................................373 Problems ............................................................................................375 Notes ...........................................................................................................376 10 Fluid Dynamics: Governing Equations ......................................377 10.1 Description of Fluid Motion .........................................................377 10.2 Equations of Fluid Motion ............................................................379 10.3 Integral Equations of Motion .......................................................379 10.3.1 Mass Conservation ...........................................................380 10.3.2 F = ma, or Momentum Conservation .............................382 10.3.3 Reynolds Transport Theorem .........................................385 10.4 Differential Equations of Motion .................................................386 10.4.1 Continuity, or Mass Conservation .................................386 Contents xi 10.4.2 F - ma, , or Momentum Conservation .............................388 10.5 Bernoulli Equation ...........................................................................391 10.6 Examples ............................................................................................392 Example 10.1......................................................................................392 Solution ...................................................................................393 Example 10.2......................................................................................394 Solution ...................................................................................395 Example 10.3......................................................................................396 Solution ...................................................................................397 Example 10.4......................................................................................398 Solution ...................................................................................399 Example 10.5......................................................................................402 Solution ...................................................................................402 Example 10.6......................................................................................404 Solution ...................................................................................405 10.7 Problems ............................................................................................406 Notes ...........................................................................................................408 11 Fluid Dynamics: Applications .....................................................411 11.1 How Do We Classify Fluid Flows? ..............................................411 11.2 What s Going on Inside Pipes? .....................................................413 11.3 Why Can an Airplane Fly? ...........................................................417 11.4 Why Does a Curveball Curve? .....................................................419 11.5 Problems ..........................................................................................423 Notes ...........................................................................................................426 12 Solid Dynamics: Governing Equations ......................................427 12.1 Continuity, or Mass Conservation ...............................................427 12.2 F = ma, or Momentum Conservation ..........................................429 12.3 Constitutive Laws: Elasticity ........................................................431 Note .............................................................................................................433 References ................................................................................................435 Appendix A: Second Moments of Area ................................................439 Appendix B: A Quick Look at the Del Operator .................................443 Divergence .................................................................................................444 Physical Interpretation of the Divergence .....................................444 Example ..............................................................................................445 Curl .............................................................................................................445 Physical Interpretation of the Curl .................................................445 Examples ............................................................................................446 Example 1...............................................................................446 Example 2...............................................................................446 Laplacian ....................................................................................................447 xii Introduction to Engineering Mechanics: A Continuum Approach Appendix С: Property Tables .................................................................449 Appendix D: All the Equations .............................................................455 Index ..........................................................................................................457
adam_txt	Contents Preface .xv About the Authors .xvii 1 Introduction .1 1.1 A Motivating Example: Remodeling an Underwater Structure .2 1.2 Newton's Laws: The First Principles of Mechanics .4 1.3 Equilibrium .5 1.4 Definition of a Continuum .6 1.5 Mathematical Basics: Scalars and Vectors .9 1.6 Problem Solving .12 1.7 Examples .13 Example 1.1.13 Solution .13 Example 1.2.15 Solution .16 1.8 Problems .17 Notes .18 2 Strain and Stress in One Dimension .19 2.1 Kinematics: Strain .20 2.1.1 Normal Strain .20 2.1.2 Shear Strain .23 2.1.3 Measurement of Strain .24 2.2 The Method of Sections and Stress .25 2.2.1 Normal Stresses .27 2.2.2 Shear Stresses .28 2.3 Stress-Strain Relationships .32 2.4 Equilibrium .36 2.5 Stress in Axially Loaded Bars .37 2.6 Deformation of Axially Loaded Bars .40 2.7 Equilibrium of an Axially Loaded Bar .42 2.8 Indeterminate Bars .43 2.8.1 Force (Flexibility) Method .44 2.8.2 Displacement (Stiffness) Method .46 2.9 Thermal Effects .48 2.10 Saint-Venant's Principle and Stress Concentrations .49 2.11 Strain Energy in One Dimension .51 2.12 A Road Map for Strength of Materials .53 2.13 Examples .55 Example 2.1.55 Solution .55 vi Introduction to Engineering Mechanics: A Continuum Approach Example 2.2.56 Solution .57 Example 2.3.57 Solution .58 Example 2.4.59 Solution .59 Example 2.5.60 Solution .61 Example 2.6.62 Solution .62 Example 2.7.64 Solution .65 Example 2.8.66 Solution .66 Example 2.9.67 Solution .68 2.14 Problems .69 Case Study 1: Collapse of the Kansas City Hyatt Regency Walkways .76 Problems .82 Notes .82 3 Strain and Stress in Higher Dimensions .85 3.1 Poisson's Ratio .85 3.2 The Strain Tensor .87 3.3 Strain as Relative Displacement .90 3.4 The Stress Tensor .92 3.5 Generalized Hooke's Law .96 3.6 Limiting Behavior .97 3.7 Properties of Engineering Materials .101 Ferrous Metals .103 Nonferrous Metals .103 Nonmetals .104 3.8 Equilibrium .104 3.8.1 Equilibrium Equations .105 3.8.2 The Two-Dimensional State of Plane Stress .107 3.8.3 The Two-Dimensional State of Plane Strain .108 3.9 Formulating Two-Dimensional Elasticity Problems .109 3.9.1 Equilibrium Expressed in Terms of Displacements .110 3.9.2 Compatibility Expressed in Terms of Stress Functions . Ill 3.9.3 Some Remaining Pieces of the Puzzle of General Formulations .112 3.10 Examples .114 Example 3.1.114 Solution .115 Example 3.2.116 Contents vii Solution .116 3.11 Problems.116 Notes .121 4 Applying Strain and Stress in Multiple Dimensions .123 4.1 Torsion .123 4.1.1 Method of Sections .123 4.1.2 Torsionai Shear Stress: Angle of Twist and the Torsion Formula .125 4.1.3 Stress Concentrations .130 4.1.4 Transmission of Power by a Shaft .131 4.1.5 Statically Indeterminate Problems .132 4.1.6 Torsion of Inelastic Circular Members .133 4.1.7 Torsion of Solid Noncircular Members .135 4.1.8 Torsion of Thin-Walled Tubes .138 4.2 Pressure Vessels .141 4.3 Transformation of Stress and Strain .145 4.3.1 Transformation of Plane Stress .146 4.3.2 Principal and Maximum Stresses .149 4.3.3 Mohr's Circle for Plane Stress .151 4.3.4 Transformation of Plane Strain .154 4.3.5 Three-Dimensional State of Stress .156 4.4 Failure Prediction Criteria .157 4.4.1 Failure Criteria for Brittle Materials .158 4.4.1.1 Maximum Normal Stress Criterion .158 4.4.1.2 Mohr's Criterion .159 4.4.2 Yield Criteria for Ductile Materials .161 4.4.2.1 Maximum Shearing Stress (Tresca) Criterion . 161 4.4.2.2 Von Mises Criterion .162 4.5 Examples .162 Example 4.1.162 Solution .163 Example 4.2.163 Solution .163 Example 4.3.165 Solution .165 Example 4.4.165 Solution .165 Example 4.5.166 Solution .166 Example 4.6.168 Solution .168 Example 4.7.170 Solution .170 Example 4.8.171 Solution .171 viii Introduction to Engineering Mechanics: A Continuum Approach Example 4.9.172 Solution .172 Example 4.10.177 Solution .177 Example 4.11.180 Solution .180 4.6 Problems .183 Case Study 2: Pressure Vessel Safety .188 Why Are Pressure Vessels Spheres and Cylinders? .189 Why Do Pressure Vessels Fail? .194 Problems .197 Notes .200 5 Beams .201 5.1 Calculation of Reactions .201 5.2 Method of Sections: Axial Force, Shear, Bending Moment .202 Axial Force in Beams .203 Shear in Beams .203 Bending Moment in Beams .205 5.3 Shear and Bending Moment Diagrams .206 Rules and Regulations for Shear and Bending Moment Diagrams .206 Shear Diagrams .206 Moment Diagrams .207 5.4 Integration Methods for Shear and Bending Moment .207 5.5 Normal Stresses in Beams .210 5.6 Shear Stresses in Beams .214 5.7 Examples .221 Example 5.1.221 Solution .221 Example 5.2.223 Solution .224 Example 5.3.229 Solution .230 Example 5.4.231 Solution .232 Example 5.5.234 Solution .235 Example 5.6.236 Solution .237 5.8 Problems .239 Case Study 3: Physiological Levers and Repairs .241 The Forearm Is Connected to the Elbow Joint .241 Fixing an Intertrochanteric Fracture .245 Problems .247 Notes .248 Contents ix 6 Beam Deflections .251 6.1 Governing Equation .251 6.2 Boundary Conditions .255 6.3 Solution of Deflection Equation by Integration .256 6.4 Singularity Functions .259 6.5 Moment Area Method .260 6.6 Beams with Elastic Supports .264 6.7 Strain Energy for Bent Beams .266 6.8 Flexibility Revisited and Maxwell-Betti Reciprocal Theorem . 269 6.9 Examples .273 Example 6.1.273 Solution .273 Example 6.2.275 Solution .275 Example 6.3.278 Solution .278 Example 6.4.281 Solution .282 6.10 Problems .285 Notes .288 7 Instability: Column Buckling .289 7.1 Euler's Formula .289 7.2 Effect of Eccentricity .294 7.3 Examples .298 Example 7.1.298 Solution .298 Example 7.2.300 Solution .301 7.4 Problems .303 Case Study 4: Hartford Civic Arena .304 Notes .307 8 Connecting Solid and Fluid Mechanics .309 8.1 Pressure .310 8.2 Viscosity .311 8.3 Surface Tension .315 8.4 Governing Laws .315 8.5 Motion and Deformation of Fluids .316 8.5.1 Linear Motion and Deformation .316 8.5.2 Angular Motion and Deformation .317 8.5.3 Vorticity .319 8.5.4 Constitutive Equation (Generalized Hooke's Law) for Newtonian Fluids .321 8.6 Examples .322 Example 8.1.322 χ Introduction to Engineering Mechanics: A Continuum Approach Solution .323 Example 8.2.324 Solution .324 Example 8.3.325 Solution .326 Example 8.4.327 Solution .327 8.7 Problems .328 Case Study 5: Mechanics of Biomaterials .330 Nonlinearity .332 Composite Materials .333 Viscoelasticity .336 Problems .338 Notes .339 9 Fluid Statics .341 9.1 Local Pressure .341 9.2 Force Due to Pressure .342 9.3 Fluids at Rest .345 9.4 Forces on Submerged Surfaces .348 9.5 Buoyancy .355 9.6 Examples .357 Example 9.1.357 Solution .357 Example^ .358 Solution .359 Example 9.3.360 Solution .361 Example 9.4.363 Solution .364 Example 9.5.365 Solution .366 9.7 Problems .368 Case Study 6: St. Francis Dam .373 Problems .375 Notes .376 10 Fluid Dynamics: Governing Equations .377 10.1 Description of Fluid Motion .377 10.2 Equations of Fluid Motion .379 10.3 Integral Equations of Motion .379 10.3.1 Mass Conservation .380 10.3.2 F = ma, or Momentum Conservation .382 10.3.3 Reynolds Transport Theorem .385 10.4 Differential Equations of Motion .386 10.4.1 Continuity, or Mass Conservation .386 Contents xi 10.4.2 F - ma, , or Momentum Conservation .388 10.5 Bernoulli Equation .391 10.6 Examples .392 Example 10.1.392 Solution .393 Example 10.2.394 Solution .395 Example 10.3.396 Solution .397 Example 10.4.398 Solution .399 Example 10.5.402 Solution .402 Example 10.6.404 Solution .405 10.7 Problems .406 Notes .408 11 Fluid Dynamics: Applications .411 11.1 How Do We Classify Fluid Flows? .411 11.2 What's Going on Inside Pipes? .413 11.3 Why Can an Airplane Fly? .417 11.4 Why Does a Curveball Curve? .419 11.5 Problems .423 Notes .426 12 Solid Dynamics: Governing Equations .427 12.1 Continuity, or Mass Conservation .427 12.2 F = ma, or Momentum Conservation .429 12.3 Constitutive Laws: Elasticity .431 Note .433 References .435 Appendix A: Second Moments of Area .439 Appendix B: A Quick Look at the Del Operator .443 Divergence .444 Physical Interpretation of the Divergence .444 Example .445 Curl .445 Physical Interpretation of the Curl .445 Examples .446 Example 1.446 Example 2.446 Laplacian .447 xii Introduction to Engineering Mechanics: A Continuum Approach Appendix С: Property Tables .449 Appendix D: All the Equations .455 Index .457
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Dym</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton</subfield><subfield code="b">CRC Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 472 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">"The essence of continuum mechanics is often obscured by the complex mathematics of its formulation. By building gradually from one-dimensional to two- and three-dimensional formulations, this book provides an accessible introduction to the fundamentals of solid and fluid mechanics." "Introduction to Engineering Mechanics demonstrates the concepts of stress and strain in the continuum context, showing the relationships between solid and fluid behavior and the mathematics that describe them. The continuum approach underlies an integrated introduction to the mechanics of engineering materials that includes complex behavior such as nonlinearity and viscoelasticity. Detailed case studies describe real-world applications and such catastrophic failures as the collapse of the St. Francis Dam and the Hartford Civic Center. The authors demonstrate the development of the mechanics field by interweaving historical context, such as the longstanding feud between Sirs Isaac Newton and Robert Hooke, throughout the text's chapters." 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id	DE-604.BV035175370
illustrated	Illustrated
index_date	2024-07-02T22:55:52Z
indexdate	2024-07-09T21:26:43Z
institution	BVB
isbn	9781420062717 1420062719
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016982228
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physical	XVI, 472 S. graph. Darst.
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spelling	Rossmann, Jenn Stroud Verfasser aut Introduction to engineering mechanics a continuum approach Jenn Stroud Rossmann ; Clive L. Dym Boca Raton CRC Press 2009 XVI, 472 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier "The essence of continuum mechanics is often obscured by the complex mathematics of its formulation. By building gradually from one-dimensional to two- and three-dimensional formulations, this book provides an accessible introduction to the fundamentals of solid and fluid mechanics." "Introduction to Engineering Mechanics demonstrates the concepts of stress and strain in the continuum context, showing the relationships between solid and fluid behavior and the mathematics that describe them. The continuum approach underlies an integrated introduction to the mechanics of engineering materials that includes complex behavior such as nonlinearity and viscoelasticity. Detailed case studies describe real-world applications and such catastrophic failures as the collapse of the St. Francis Dam and the Hartford Civic Center. The authors demonstrate the development of the mechanics field by interweaving historical context, such as the longstanding feud between Sirs Isaac Newton and Robert Hooke, throughout the text's chapters." "Through its progressive development of ideas, this book facilitates the development of both physical intuition for how solids and fluids behave and the mathematical techniques needed to describe their behaviors."--BOOK JACKET. Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Technische Mechanik (DE-588)4059231-5 s DE-604 Dym, Clive L. Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016982228&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rossmann, Jenn Stroud Dym, Clive L. Introduction to engineering mechanics a continuum approach Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd
subject_GND	(DE-588)4059231-5 (DE-588)4151278-9
title	Introduction to engineering mechanics a continuum approach
title_auth	Introduction to engineering mechanics a continuum approach
title_exact_search	Introduction to engineering mechanics a continuum approach
title_exact_search_txtP	Introduction to engineering mechanics a continuum approach
title_full	Introduction to engineering mechanics a continuum approach Jenn Stroud Rossmann ; Clive L. Dym
title_fullStr	Introduction to engineering mechanics a continuum approach Jenn Stroud Rossmann ; Clive L. Dym
title_full_unstemmed	Introduction to engineering mechanics a continuum approach Jenn Stroud Rossmann ; Clive L. Dym
title_short	Introduction to engineering mechanics
title_sort	introduction to engineering mechanics a continuum approach
title_sub	a continuum approach
topic	Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd
topic_facet	Mechanics, Applied Technische Mechanik Einführung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016982228&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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