Statics for Engineers de Bichara B. Muvdi

Statics for Engineers

Bichara B. Muvdi

Amir W. Al-Khafaji

John W. McNabb

The first of a comprehensive two-volume treatment of mechanics intended for students of civil and mechanical engineering. Used for several years in courses at Bradley University, the text presents statics in a clear and straightforward way while emphasising problem solving - backed by more than 350 examples used to clarify the discussion. The accompanying diskette contains EnSolve, written by the authors for solving problems in engineering mechanics. The program includes the following: - a unit converter for SI to US units and vice versa - a graphics program for plotting functions and data - a set of numerical subroutines. The graphics module boasts such features as fitting smooth splines between data, plotting regression lines and curves, and changing scales -- including from arithmetic to log and log-log.

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Descriere

This is the first volume of a comprehensive two-volume treatment of mechanics intended for students of civil and mechanical engineering. Used for several years in courses at Bradley University, the text presents statics in a clear and straightforward way and emphasizes problem solving. More than 350 examples clarify the discussion. The diskette included with the book contains EnSolve, a program written by the authors for solving problems in engineering mechanics. The program runs on Macintosh and PC-DOS computers and includes the following: - a unit converter for SI to US units and vice versa - a graphics program for plotting functions and data - a set of numerical subroutines The graphics module will, among other features, fit smooth splines between data, plot regression lines and curves, and change scales -- including from arithmetic to log and log-log. The numerical routines will, for example, find roots of polynomials, solve systems of equations, invert matrices, differentiate and integrate, and solve boundary-value problems.

Cuprins

1 Introductory Principles.- 1.1 Review of Mechanics.- 1.2 Idealizations and Mathematical Models.- 1.3 Newton’s Laws.- 1.4 Newton’s Law of Universal Gravitation.- 1.5 Systems of Units and Conversion Factors.- 1.6 Dimensional Analysis.- 1.7 Problem Solving Techniques.- 1.8 Accuracy of Data and Solutions.- 2 Equilibrium of a Particle in Two Dimensions.- 2.1 Scalar and Vector Quantities.- 2.2 Elementary Vector Operations.- 2.3 Force Expressed in Vector Form.- 2.4 Addition of Forces Using Rectangular Components.- 2.5 Supports and Connections.- 2.6 The Free-Body Diagram.- 2.7 Equilibrium Conditions and Applications.- 3 Equilibrium of Particles in Three Dimensions.- 3.1 Force in Terms of Rectangular Components.- 3.2 Force in Terms of Magnitude and Unit Vector.- 3.3 Dot (Scalar) Product.- 3.4 Addition of Forces Using Rectangular Components.- 3.5 Equilibrium Conditions and Applications.- 4 Equilibrium of Rigid Bodies in Two Dimensions.- 4.1 Concept of the Moment-Scalar Approach.- 4.2 Internal and External Forces—Force Transmissibility Principle.- 4.3 Replacement of a Single Force by a Force and a Couple.- 4.4 Replacement of a Force System by a Force and a Couple.- 4.5 Replacement of a Force System by a Single Force.- 4.6 Replacement of a Distributed Force System by a Single Force.- 4.7 Supports and Connections.- 4.8 The Free-Body Diagram.- 4.9 Equilibrium Conditions and Applications.- 5 Equilibrium of Rigid Bodies in Three Dimensions.- 5.1 Definition of the Cross (Vector) Product.- 5.2 The Cross-Product in Terms of Rectangular Components.- 5.3 Vector Representation of the Moment of a Force.- 5.4 Varignon’s Theorem.- 5.5 Moment of a Force About a Specific Axis.- 5.6 Vector Representation of a Couple.- 5.7 Replacement of a Single Force by a Force and a Couple.- 5.8 Replacement of a General Force System by a Force and a Couple.- 5.9 Equilibrium Conditions and Applications.- 5.10 Determinacy and Constraints.- 6 Truss Analysis.- 6.1 Analysis of Simple Trusses.- 6.2 Member Forces Using the Method of Joints.- 6.3 Members Carrying No Forces.- 6.4 Member Forces Using the Method of Sections.- 6.5* Determinacy and Constraints.- 6.6 Compound Trusses.- 6.7* Three-Dimensional Trusses: Member Forces Using the Method of Joints.- 7 Frames and Machines.- 7.1 Multiforce Members.- 7.2 Frame Analysis.- 7.3 Machine Analysis.- 8 Internal Forces in Members.- 8.1 Internal Forces.- 8.2 Sign Conventions.- 8.3 Axial Force and Torque Diagrams.- 8.4 Shear and Moment at Specified Cross-Sections.- 8.5 Shear and Moment Equations.- 8.6 Load, Shear, and Moment Relationships.- 8.7 Shear and Moment Diagrams.- 8.8* Cables Under Concentrated Loads.- 8.9* General Cable Theorem.- 8.10* Cables Under Uniform Loads.- 8.11 Frames—Internal Forces at Specified Sections.- 8.12 Internal Force Diagrams for Two-Dimensional Frames.- 9 Friction.- 9.1 Nature and Characteristics of Dry Friction.- 9.2 Angles of Static and Kinetic Friction.- 9.3 Applications of the Fundamental Equations.- 9.4 The Six Fundamental Machines.- 9.5* Friction on V-Belts and Flat Belts.- 9.6* Friction on Pivot and Collar Bearings and Disks.- 9.7* Friction on Journal Bearings.- 9.8 Problems in Which Motion Is Not Predetermined.- 10 Centers of Gravity, Centers of Mass, and Centroids.- 10.1 Centers of Gravity and of Mass.- 10.2 Centroid of Volume, Area, or Line.- 10.3 Composite Objects.- 10.4 Centroids by Integration.- 10.5* Theorems of Pappus and Guldinus.- 10.6* Fluid Statics.- 11 Moments and Products of Inertia.- 11.1 Concepts and Definitions.- 11.2 Parallel-Axis Theorems.- 11.3 Moments of Inertia by Integration.- 11.4 Moments of Inertia of Composite Areas and Masses.- 11.5* Area Product of Inertia.- 11.6* Area Principal Axes and Principal Moments of Inertia.- 11.7* Mohr’s Circle for Area Moments and Products of Inertia.- 11.8* Mass Principal Axes and Principal Moments of Inertia.- 12 Virtual Work and Stationary Potential Energy.- 12.1 Differential Work of a Force.- 12.2 Differential Work of a Couple.- 12.3 The Concept of Finite Work.- 12.4 The Concept of Virtual Work.- 12.5* Work of Conservative Forces.- 12.6* The Concept of Potential Energy.- 12.7* The Principle of Stationary Potential Energy.- 12.8* States of Equilibrium.- Appendix A. Properties of Selected Lines and Areas.- Appendix B. Properties of Selected Masses.- Appendix C. Useful Mathematical Relations.- Appendix D. Selected Derivatives.- Appendix E. Selected Integrals.- Appendix F. Supports and Connections.- Appendices.- Answers.