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Statics for dummies

Author: James H Allen
Publisher: Hoboken, N.J. : Wiley, ©2010.
Series: For dummies; --For dummies.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
A guide to engineering statics that covers key concepts, units of measure and constants, basic properties of vectors, forces, the difference between internal and external forces, free-body diagrams, and other related topics, with practice problems and answers.
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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  Read more...

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