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.
Sprache
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Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 260 mm
Breite: 210 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-13-769001-5 (9780137690015)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
1. Introduction.
Mechanics. Basic Concepts. Units. Numerical Calculations. Problem Solving Strategy. Computational Software.
2. Vectors and Force Systems Acting on a Particle.
Introduction. Vectors. Forces and Their Characteristics. Three-Dimensional Cartesian Coordinates and Unit Base Vectors. Computation of Vector Operations. Components of a Vector in Nonorthongonal Directions. Systems of Linear Equation. Scalar Product of Two Vectors. Free-Body Diagrams of a Particle. Equilibrium of a Particle. Springs. Statically Indeterminate Problems. Chapter Summary. Review Problems.
3. Rigid Bodies: Equivalent Force Systems.
Rigid Bodies. Modeling of Rigid Bodies and Moment of a Force. Vector Product or Cross-Product. Moment of Force About a Point in Space. Varignon's Theorem. Moment of a Force About an Axis. Moment of a Couple. Equivalent Force Systems. Special Equivalent Force Systems. General Equivalent Force Systems. General Equivalent Force Systems. Chapter Summary.
4. Distributed Forces: Centroids and Center of Gravity.
Introduction. Center of Mass and Center of Gravity. Centroids of Areas, Volumes, and Lines; the First Moment. Theorems of Pappus and Guldinus. Centroids of Composite Bodies. Distributed Loads on Beams. Forces Due to Fluid Pressure Acting on a Submerged Surface. Chapter Summary.
5. Equilibrium of Rigid Bodies.
Introduction. Supports for a Two-Dimensional Model. Supports for a Three-Dimensional Model. Free-Body Diagram. Equilibrium of a Rigid Body in the Two Dimensions. Equilibrium of a Rigid Body in Three-Dimensions. Statically Indeterminate Reactions and Improper Constraints.
6. Analysis of Structures.
Introduction. Planar Trusses. Simple Trusses. Method of Joints. Method of Joints Using Matrix Methods. Method of Sections. Space Trusses. Compound Trusses. Frames and Machines. Chapter Summary.
7. Internal Forces in Structural Members.
Introduction. Internal Forces on a Body. Beams: Types of Loading and Supports. Shear and Bending Moments in Beams. Discontinuity Functions for Beam Equations. Cables. Chapter Summary.
8. Friction.
Introduction. Coulomb Friction. Wedges. Square Threaded Screws. Belt Friction. Bearing. Thrust Bearings, Collars and Clutches. Rolling Resistance. Chapter Summary.
9. Moments of Inertia.
Introduction. Second Moment of an Area. Polar Moment of Inertia. Second Moment of an Area About Centroidal Axes for Specific Areas. Parallel Axes Theorem for the Second Moment of Area. Radius of Gyration of an Area. Second Moments of Composite Areas. Principal Second Moments of Area. Mohr's Circle to Determine Principal Second Moment of Area. Eigenvalue Problem. Mass Moments of Inertia. Chapter Summary.
10. Virtual Work.
Introduction. Virtual Work. Principle of Virtual Work for System of Connected Rigid Bodies. Finite Work of a Force and Moment. Conservative Forces and Potential Energy . Potential Energy and Equilibrium. Stability of Equilibrium. Chapter Summary.
Appendix.
Glossary.
Problem Statements.
Index.
