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### Summary

### Summary

Focusing on the conceptual understanding of mechanics, this exciting new text addresses new developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated computational software packages currently available to students. Emphasizing the use of vector mechanics and vector mathematics in its treatment of statics, the book provides transition material to higher level courses, and provides a wealth of problems to foster understanding. All sample problems and the use of computational software (Mathcad, MATLAB, Mathematica and Maple) are presented in four separate manuals (one for each software program); each manual explains how to use the software package to solve the example problems in the book. * Text designed to be used in conjunction with a computational software package and an accompanying manual. The manual includes all the examples from the text and key stroke instructions for the applicable tool - and allows the student to compute solutions and to visualize physical properties. * Explains how to use the software to solve the problems in the text. * Uses computational software as a vector calculator. * Enables students to perform vecto

### Table of Contents

Chapter 1 Introduction |

1.1 Mechanics |

1.2 Basic Concepts |

1.3 Units |

1.3.1 SI Units |

1.3.2 Customary Units |

1.3.3 Conversion between Systems of Units |

1.4 Numerical Calculations |

1.5 Problem-solving Strategy |

1.6 Computational Software |

Chapter 2 Vector Analyis |

2.1 Introduction |

2.2 Vectors |

2.2.1 Definition of a Scalar and a Vector |

2.2.2 Vector Addition |

2.2.3 Multiplication of a Vector by a Scalar |

2.2.4 Vector Components |

2.2.5 Resolution of a Vector into Components |

2.3 Forces and Their Characteristics |

2.3.1 Concurrent Coplanar Forces |

2.4 Three-dimensional Cartesian Coordinates and Unit Base Vectors |

2.4.1 Unit Base Vectors |

2.4.2 Vector Equality in Component Notation |

2.4.3 Vector Addition by Components |

2.4.4 Multiplication of a Vector by a Scalar |

2.4.5 Vector Subtraction |

2.4.6 General Unit Vectors |

2.4.7 Vector Directions in Space |

2.4.8 Matrix Notation for Vectors |

2.5 Computation of Vector Operations |

2.6 Components of a Vector in Nonorthogonal Directions |

2.7 Systems of Linear Equations |

2.7.1 Matrices |

2.8 Scalar Product of Two Vectors |

2.8.1 Applications of the Scalar Product |

2.9 Vector Product or Cross Product |

2.9.1 Multiple Products of Vectors 2.10 Direct Vector Solutions |

Chapter 3 Particle Equilibrium |

3.1 Free-body Diagrams of a Particle |

3.2 Equilibrium of a Particle |

3.3 Springs |

3.4 Statically Indeterminate Problems |

3.5 Special Sections 3.5A Introduction to Friction 3.5B Keystone of the Arch |

Chapter 4 Rigid Bodies: Equivalent Force Systems |

4.1 Rigid Bodies |

4.2 Modeling of Rigid Bodies and Moment of a Force |

4.3 Moment of a Force about a Point in Space |

4.3.1 Direct Vector Solutions |

4.4 Varignon?s Theorem |

4.5 Moment of a Force about an Axis |

4.6 Moment of a Couple |

4.7 Equivalent Force Systems |

4.8 Special Equivalent Force Systems |

4.8.1 Concurrent Force Systems |

4.8.2 Coplanar Force Systems |

4.8.3 Parallel Force Systems |

4.9 General Equivalent Force Systems |

4.9.1 The Wrench 160 |

Chapter 5 Distributed Forces: Centroids and Center of Gravity |

5.1 Introduction |

5.2 Center of Mass and Center of Gravity |

5.2.1 Center of Mass |

5.2.2 Center of Gravity |

5.3 Average Position: Centroids of Areas, Volumes, and Lines;The First Moment |

5.3.1 Centroid of an Area |

5.3.2 Centroid of a Volume |

5.3.3 Centroid of a Line |

5.3.4 Centroid of a Curve in Space |

5.4 Theorems of Pappus and Guldinus |

5.5 Centroids of Composite Bodies |

5.6 Distributed Loads on Beams |

5.7 Forces Due to Fluid Pressure Acting on a Submerged Surface |

5.7.1 Buoyancy |

Chapter 6 Equilibrium of Rigid Bodies |

6.1 Introduction |

6.2 Supports for a Two-dimensional Model |

6.3 Supports for a Three-dimensional Model |

6.4 Free-body Diagram |

6.5 Equilibrium of a Rigid Body in Two Dimensions |

6.5.1 Solution Strategy |

6.5.2 A Two-Force Member |

6.5.3 A Three-Force Member |

6.6 Equilibrium of a Rigid Body in Three Dimensions |

6.6.1 Constraints |

6.7 Statically Indeterminate Reactions and Improper Constraints |

Chapter 7 Analysis of Structures |

7.1 Introduction |

7.2 Planar Trusses |

7.3 Simple Trusses |

7.4 Method of Joints |

7.5 Method of Joints Using Matrix Techniques |

7.6 Method of Sections |

7.7 Space Trusses |

7.8 Compound Trusses |

7.9 Frames and Machines |

Chapter 8 Internal Forces in Structural Members |

8.1 Introduction |

8.2 Internal Forces in a Member |

8.3 Types of Loading and Supports in Beams |

8.4 Shear and Bending Moments in Beams |

8.4.1 Relationship between the Load Distribution, the Shear Force, and the Bending Moment |

8.5 Discontinuity Functions for Beam Equations |

8.6 Cables |

8.6.1 Cable Subjected to Concentrated Loads |

8.6.2 Cables Supporting Loads Distributed Uniformly along a Horizontal Line |

8.6.3 Cable Supporting Loads Distributed Uniformly along its Own Length |

Chapter 9 Friction |

9.1 Introduction |

9.2 Coulomb Friction |

9.3 Wedges |

9.4 Square-Threaded Screws |

9.5 Belt Friction |

9.5.1 V-belts |

9.6 Bearings 9 |