Mechanics of Materials

[...]... Summary & Review 55 Problems 57 27 SECTION 1.1 Introduction to Mechanics of Materials 5 1.1 INTRODUCTION TO MECHANICS OF MATERIALS Mechanics of materials is a branch of applied mechanics that deals with the behavior of solid bodies subjected to various types of loading Other names for this field of study are strength of materials and mechanics of deformable bodies The solid bodies considered in this book... 10.6 10.7 10.8 10.9 Introduction Centroids of Plane Areas Centroids of Composite Areas Moments of Inertia of Plane Areas Parallel-Axis Theorem for Moments of Inertia Polar Moments of Inertia Products of Inertia Rotation of Axes Principal Axes and Principal Moments of Inertia Problems vii viii CONTENTS References and Historical Notes R1 Appendix A Systems of Units and Conversion Factors A1 Appendix... and analysis of most columns.* * The history of mechanics of materials, beginning with Leonardo and Galileo, is given in Refs 1-1, 1-2, and 1-3 (a list of references is available online) 6 CHAPTER 1 Tension, Compression, and Shear Problems When studying mechanics of materials, you will find that your efforts are divided naturally into two parts: first, understanding the logical development of the concepts,... moment of a plane area intensity of distributed load (force per unit distance) reaction, radius ෆ ෆ radius, radius of gyration (r ϭ ͙I/A ) section modulus of the cross section of a beam, shear center distance, distance along a curve tensile force, twisting couple or torque, temperature thickness, time, intensity of torque (torque per unit distance) thickness of flange; thickness of web modulus of resistance;... objective of mechanics of materials is to determine the stresses, strains, and displacements in structures and their components due to the loads acting on them If we can find these quantities for all values of the loads up to the loads that cause failure, we will have a complete picture of the mechanical behavior of these structures An understanding of mechanical behavior is essential for the safe design of. .. left blank Mechanics of Materials BRIEF EDITION, SI This telecommunications tower is an assemblage of many members that act primarily in tension or compression (Photo by Bryan Tokarczyk, PE/KPFF Tower Engineers) 1 Tension, Compression, and Shear CHAPTER OVERVIEW In Chapter 1, we are introduced to mechanics of materials, which examines the stresses, strains, and displacements in bars of various materials. .. reaction, horsepower height, dimensions moment of inertia (or second moment) of a plane area moments of inertia with respect to x, y, and z axes moments of inertia with respect to x1 and y1 axes (rotated axes) product of inertia with respect to xy axes product of inertia with respect to x1y1 axes (rotated axes) polar moment of inertia principal moments of inertia torsion constant effective length factor... Appendix C Mathematical Formulas Appendix D C1 Properties of Plane Areas D1 Appendix E Properties of Structural-Steel Shapes E1 Appendix F Properties of Solid Timber F1 Appendix G Deflections and Slopes of Beams G1 Appendix H Properties of Materials H1 Answers to Problems 571 Index 585 James Monroe Gere 1925–2008 James Monroe Gere, Professor Emeritus of Civil Engineering at Stanford University, died in... Montana Tech, University of Montana Ronald E Smelser, University of North Carolina at Charlotte Candace S Sulzbach, Colorado School of Mines and to the dozens of other reviewers who provided anonymous suggestions I wish to also acknowledge my Structural Engineering and Mechanics colleagues at the Georgia Institute of Technology, many of whom provided valuable advice on various aspects of the revisions and... perpendicular to the longitudinal axis of the bar, it is called a cross section We now isolate the part of the bar to the left of cross section mn as a free body (Fig 1-2d) At the right-hand end of this free body (section mn) we show the action of the removed part of the bar (that is, the part to the right of section mn) upon the part that remains This action consists of continuously distributed stresses . keyword for materials in your areas of interest. Mechanics of Materials BRIEF EDITION, SI This page intentionally left blank Mechanics of Materials BRIEF EDITION, SI James M. Gere Late Professor. 559 10 Review of Centroids and Moments of Inertia (Available on book website) 10.1 Introduction 10.2 Centroids of Plane Areas 10.3 Centroids of Composite Areas 10.4 Moments of Inertia of Plane Areas 10.5. Tension, Compression, and Shear 3 1.1 Introduction to Mechanics of Materials 5 1.2 Normal Stress and Strain 6 1.3 Mechanical Properties of Materials 15 1.4 Elasticity, Plasticity, and Creep 24 1.5