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## Details

Genre/Form: | Lehrmittel |
---|---|

Document Type: | Book |

All Authors / Contributors: |
James H Allen |

ISBN: | 9780470598948 0470598948 |

OCLC Number: | 624413593 |

Notes: | Includes index. |

Description: | xiv, 365 p. : ill. ; 24 cm. |

Contents: | Introduction -- pt. I. Setting the stage for statics -- 1. Using statics to describe the world around you -- What mechanics is all about -- Putting vectors to work -- Defining actions in statics -- Sketching the world around you: free-body diagrams -- Unveiling the concept of equilibrium -- Applying statics to the real world -- 2. A quick mathematics refresher -- Keeping things accurate and determining what's significant -- Nomenclature with little superscripts: using scientific and exponential notation -- Recalling some basic algebra -- Hitting the slopes of functions and lines -- Rearranging equations to solve for unknown variables -- Sigma notation -- Getting into shapes with basic geometry and trigonometry -- Getting a handle on important geometry concepts -- Tackling the three basic identities of trigonometry -- Brushing up on basic calculus -- The power rule: differentiation and integration of polynomials -- Using calculus to define local maximum and minimum values -- 3. Working with unit systems and constants -- Measuring up in statics -- The metric system -- U.S. customary units -- The kip: one crazy exception -- Never the twain shall meet: avoiding mixing unit systems -- Looking at units of measure and constants used in statics -- Constants worth noting -- Three common statics units for everyday life -- All the derived units you'll every need -- pt. II. Your statics foundation: vector basics -- 4. Viewing the world through vectors -- Defining a vector -- Understanding the difference between scalars and vectors -- Drawing a vector portrait -- The single-headed arrow approach -- The double-headed arrow approach -- Exploring different types of vectors -- Fixed vector -- Free vector -- Sliding vector -- 5. Using vectors to better define direction -- Taking direction from the Cartesian Coordinate System -- Using position vectors to determine direction -- A first glance at determining a vector's magnitude -- Recognizing the notation for magnitude -- Computing the magniture of a position vector: Pythagoras to the rescue! -- Unit vectors tell direction too! -- Cartesian-vector notation -- Using unit vectors to create position vectors -- Creating unit vectors from scratch -- Shrinking down position vectors -- Using angular data and direction cosines -- Utilizing proportions and similar triangles -- Knowing which technique to use -- 6. Vector mathematics and identities -- Performing basic vector operations -- Adding vectors -- Subtracting vectors -- Moving vectors head to tail -- What do you mean I can't multiply vectors? Creating products -- Dot products -- Cross products -- Useful vector operation identities -- 7. Turning multiple vectors into single vector resultant -- Getting a handle on resultant vectors -- Depicting a resultant vector -- Principles of resultants -- Calculating resultant magnitude and direction -- Using graphical techniques to construct resultants -- Using geometric methods to construct resultants -- The parallelogram method -- Using vector methods to compute resultants -- Using vector addition -- Calculating the direction of the vector resultant -- 8. Breaking down a vector into components -- Defining vector component -- resolving a vector into Cartesian and non-Cartesian components -- Calculating non-Cartesian components of two-dimensional vectors -- pt. III. Forces and moments as vectors -- 9. Applying concentrated forces and external point loads -- Comparing internal and external forces and rigid and deformable bodies -- Exploring external concentrated forces -- Normal forces from contact -- Friction -- Concentrated loads -- Revealing the unseen with concentrated internal loads -- Forces in ropes and cables -- Forces in springs -- Surveying self weight as an external load value -- 10. Spreading it out: understanding distributed loads -- Getting a handle on some distributed load vocab -- Take a (distributed) load off: types of distributed loads -- Distributed forces 00 Surface loads (pressures) -- Volumetric loads -- Calculating the resultant of a distributed load -- Uniform and linearly varying forces -- Surface loads and pressures in multiple dimension -- Avoiding the double integral -- Looking at mass and self weight as distributed values -- 11. Finding the centers of objects and regions -- Defining location for distributed loads -- Getting to the center of centroids -- Defining a centroid's region type -- Computing the centroid of a discrete region -- Finding centroids of continuous regions -- Taking advantage of symmetry -- Understanding centers of mass and gravity -- 12. Special occasions in the life of a force vector: moments and couples -- Exploring rotation and moments of force -- Developing rotational behaviors: meeting couples and concentrated moments -- Taking on torque and bending -- Getting a handle on the right-hand rule for moments of force -- Calculating a moment with scalar data -- Planar rotation about a point -- Determining the magnitude and sense of a two-dimensional couple -- Calculating a moment by using vector information -- Completing the cross product -- Using unit vectors to create moment vectors -- Using double-headed arrows to find moment resultants and components -- Relocating a force by using a moment: equivalent force couples -- pt. IV. A picture is worth a thousand words (or at least a few equations): free-body diagrams -- 13. Anatomy of a free-body diagram -- Free-body diagrams -- Displaying external forces -- Portraying concentrated forces -- Depicting distributed forces -- Conveying concentrated moments -- Axial loads and beyond : depicting internal forces -- Restricting movements with support reactions -- Three basic planar support reactions -- Three-dimensional support conditions -- Weighing in with self weight -- 14. The F.B.D.: knowing what to draw and how to draw it -- Getting your F.B.D. started -- Assuming a direction for support reactions -- Including more than the required info on your F.B.D. -- Zooming in with isolation boxes -- Unveiling internal forces -- Applying rules of application -- Avoiding problems with incorrect isolation techniques -- Using multiple F.B.Ds -- 15. Simplifying a free-body diagram -- Presenting the principle of superposition -- centering on centerlines and lines of symmetry -- Equivalent systems: forces on the move -- Moving a force -- Moving a moment -- pt. V. A question of balance: equilibrium -- 16. Mr. Newton has entered the building: the basics of equilibrium -- Defining equilibrium for statics -- Translational equilibrium -- Rotational equilibrium -- Looking for equilibrium with Newton"s laws -- Reviewing Newton's laws of motion -- The scalar equations that make it happen: the big three -- Identifying improper constraints -- Concurrent force systems -- Parallel force systems -- 17. Taking a closer look at two-dimensional equilibrium: scalar methods -- Tackling two-dimensional statics problems in three basic steps -- Calculating support reactions with two-dimensional equilibrium equations -- Creating the F.B.D. -- Writing the equilibrium equations --Choosing a better place to sum moments -- 18. Getting better acquainted with three-dimensional equilibrium: vector methods -- Finding a starting point -- Seeing equilibrium within vector notation -- Equilibrium in translational behaviors -- Rotational components -- Figuring support reactions with three-dimensional equilibrium equations -- pt. VI. Statics in action -- 19. Working with trusses -- Identifying truss members -- Method of joints: zooming in on one panel at a time -- Drawing isolation boxes -- Applying the equations of a equilibrium -- Review and repeat -- Drawbacks to the method of joints -- Slicing through the method of sections -- Cutting the truss -- Drawing the F.B.D. for the two remaining truss pieces -- Applying the equations of translational equilibrium -- Applying the equations of rotational equilibrium -- Identifying the instantaneous center -- Shortcutting the equation writing: zero-force members -- 20. Analyzing beams and bending members -- Defining the internal bending forces -- Internal forces of two-dimensional objects -- Strange new three-dimensional effects -- Calculating internal loads at a point -- Yet another two-dimensional sign convention --Using the sign convention -- Computing internal force magnitudes -- Writing generalized equations for internal forces -- Defining the critical points -- Establishing the regions of your generalized equations -- Discovering other useful tricks from generalized equations -- Creating shear and moment diagrams by area calculations -- Rules to remember when working with area methods -- Constructing the shear diagram -- Creating the moment diagram -- 21. Working with frames and machines -- Identifying a frame and machine system -- Defining properties of frames and machines -- Determining static determinacy -- Using the blow-it-all-apart approach to solve frame and machine problems -- Breaking it at the hinges -- Knowing where to start solving frame and machine problems -- Considering other useful approaches to common frame and machine problems -- When more than two members meet at an internal hinge -- Dealing with pesky pulley problems -- Tackling complex and unique assemblies on machine problems -- Pistons and slider assemblies -- Slotted holes and unidirectional pins -- 22. A different kind of axial system: cable systems -- Defining nonlinear structural behavior -- distinguishing among types of flexible cable systems -- Recognizing cables under concentrated loads -- Picking out parabolic cable systems -- Identifying cantenary cable systems -- Solving for tension in flexible cables -- Concentrated load systems -- Parabolic cable systems -- Catenary cable systems -- The beam analogy for flexible cables -- 23. Those darn dam problems: submerged surfaces -- Understanding fluid pressure -- Dealing with hydrostatic pressure -- Determining effects from the self weight of water -- Making calculation under (fluid) pressure -- Drawing the fluid F.B.D. -- Creating the hydrostatic pressure distribution -- Finding the dead weight of water and dams -- Including base reactions for dam structures -- Applying equilibrium equations -- Figuring partial pressures on openings and gates -- 24. Incorporating friction into your applications -- Friction -- A sense of impending...motion? Calculating sense -- Establishing equilibrium when friction is present -- Finding the friction limit -- Working with friction angles -- Combining friction and normal forces into a single resultant -- Exploring tipping -- Uncovering the tipping point and normal force -- Moving the normal force to prevent tipping -- Establishing which friction phenomenon controls, sliding or tipping -- Examining more common friction applications -- Wedging in on the action -- Staying flexible with belts and pulleys -- pt. VII. The part of tens: 25. Ten steps to solving any statics problem -- 26. Ten tips for surviving a statics exam. |

Series Title: | For dummies; --For dummies. |

Responsibility: | by James H. Allen. |

### Abstract:

Statics is the branch of mechanics that studies rigid bodies (such as trusses, beams, dams, etc. ) at rest and the forces to which they're subjected. Statics For Dummies gives readers a thorough introduction to this foundational branch of engineering and easy-to-follow coverage of solving problems involving forces on bodies at rest.
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