Mechanics of Materials

Description

Beer and Johnston's "Mechanics of Materials" is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, "Mechanics of Materials," provides a precise presentation of the subject illustrated with numerous engineering examples that students both understand and relate to theory and application. The tried and true methodology for presenting material gives your student the best opportunity to succeed in this course. From the detailed examples, to the homework problems, to the carefully developed solutions manual, you and your students can be confident the material is clearly explained and accurately represented. McGraw-Hill is proud to offer Connect with the seventh edition of Beer and Johnston's "Mechanics of Materials." This innovative and powerful system helps your students learn more effectively and gives you the ability to assign homework problems simply and easily. Problems are graded automatically, and the results are recorded immediately. Track individual student performance - by question, assignment, or in relation to the class overall with detailed grade reports. ConnectPlus provides students with all the advantages of Connect, plus 24/7 access to an eBook Beer and Johnston's" Mechanics of Materials," seventh edition, includes the power of McGraw-Hill's "LearnSmart"--a proven adaptive learning system that helps students learn faster, study more efficiently, and retain more knowledge through a series of adaptive questions. This innovative study tool pinpoints concepts the student does not understand and maps out a personalized plan for success. Cover......Page 1 Title......Page 2 Copyright......Page 3 Contents......Page 5 Preface......Page 10 Guided Tour......Page 14 List of Symbols......Page 16 1 Introduction—Concept of Stress......Page 20 1.1 Review of The Methods of Statics......Page 21 1.2 Stresses in the Members of a Structure......Page 24 1.3 Stress on an Oblique Plane Under Axial Loading......Page 44 1.4 Stress Under General Loading Conditions; Components of Stress......Page 45 1.5 Design Considerations......Page 48 Review and Summary......Page 61 2 Stress and Strain—Axial Loading......Page 72 2.1 An Introduction to Stress and Strain......Page 74 2.2 Statically Indeterminate Problems......Page 95 2.3 Problems Involving Temperature Changes......Page 99 2.4 Poisson's Ratio......Page 111 2.5 Multiaxial Loading: Generalized Hooke's Law......Page 112 *2.6 Dilatation and Bulk Modulus......Page 114 2.7 Shearing Strain......Page 116 2.8 Deformations Under Axial Loading—Relation Between E, v, and G......Page 119 *2.9 Stress-Strain Relationships For Fiber-Reinforced Composite Materials......Page 121 2.10 Stress and Strain Distribution Under Axial Loading: Saint-Venant's Principle......Page 132 2.11 Stress Concentrations......Page 134 2.12 Plastic Deformations......Page 136 *2.13 Residual Stresses......Page 140 Review and Summary......Page 150 3 Torsion......Page 164 3.1 Circular Shafts in Torsion......Page 167 3.2 Angle of Twist in the Elastic Range......Page 184 3.3 Statically Indeterminate Shafts......Page 187 3.4 Design of Transmission Shafts......Page 202 3.5 Stress Concentrations in Circular Shafts......Page 204 *3.6 Plastic Deformations in Circular Shafts......Page 212 *3.7 Circular Shafts Made of an Elastoplastic Material......Page 213 *3.8 Residual Stresses in Circular Shafts......Page 216 *3.9 Torsion of Noncircular Members......Page 226 *3.10 Thin-Walled Hollow Shafts......Page 228 Review and Summary......Page 240 4 Pure Bending......Page 254 4.1 Symmetric Members in Pure Bending......Page 257 4.2 Stresses and Deformations in the Elastic Range......Page 261 4.3 Deformations in a Transverse Cross Section......Page 265 4.4 Members Made of Composite Materials......Page 276 4.5 Stress Concentrations......Page 280 *4.6 Plastic Deformations......Page 290 4.7 Eccentric Axial Loading in a Plane of Symmetry......Page 308 4.8 Unsymmetric Bending Analysis......Page 319 4.9 General Case of Eccentric Axial Loading Analysis......Page 324 *4.10 Curved Members......Page 336 Review and Summary......Page 351 5 Analysis and Design of Beams for Bending......Page 362 5.1 Shear and Bending-Moment Diagrams......Page 365 5.2 Relationships Between Load, Shear, and Bending Moment......Page 377 5.3 Design of Prismatic Beams for Bending......Page 388 *5.4 Singularity Functions Used to Determine Shear and Bending Moment......Page 400 *5.5 Nonprismatic Beams......Page 413 Review and Summary......Page 424 6 Shearing Stresses in Beams and Thin-Walled Members......Page 434 6.1 Horizontal Shearing Stress in Beams......Page 437 *6.2 Distribution of Stresses in a Narrow Rectangular Beam......Page 443 6.3 Longitudinal Shear on a Beam Element of Arbitrary Shape......Page 454 6.4 Shearing Stresses in Thin-Walled Members......Page 456 *6.5 Plastic Deformations......Page 458 *6.6 Unsymmetric Loading of Thin-Walled Members and Shear Center......Page 471 Review and Summary......Page 484 7 Transformations of Stress and Strain......Page 494 7.1 Transformation of Plane Stress......Page 497 7.2 Mohr's Circle for Plane Stress......Page 509 7.3 General State of Stress......Page 520 7.4 Three-Dimensional Analysis of Stress......Page 521 *7.5 Theories of Failure......Page 524 7.6 Stresses in Thin-Walled Pressure Vessels......Page 537 *7.7 Transformation of Plane Strain......Page 546 *7.8 Three-Dimensional Analysis of Strain......Page 551 *7.9 Measurements of Strain; Strain Rosette......Page 555 Review and Summary......Page 563 8 Principal Stresses Under a Given Loading......Page 574 8.1 Principal Stresses in a Beam......Page 576 8.2 Design of Transmission Shafts......Page 579 8.3 Stresses Under Combined Loads......Page 592 Review and Summary......Page 608 9 Deflection of Beams......Page 616 9.1 Deformation Under Transverse Loading......Page 619 9.2 Statically Indeterminate Beams......Page 628 *9.3 Singularity Functions to Determine Slope and Deflection......Page 640 9.4 Method of Superposition......Page 652 *9.5 Moment-Area Theorems......Page 666 *9.6 Moment-Area Theorems Applied to Beams with Unsymmetric Loadings......Page 681 Review and Summary......Page 696 10 Columns......Page 708 10.1 Stability of Structures......Page 709 *10.2 Eccentric Loading and the Secant Formula......Page 726 10.3 Centric Load Design......Page 739 10.4 Eccentric Load Design......Page 756 Review and Summary......Page 767 11 Energy Methods......Page 776 11.1 Strain Energy......Page 777 11.2 Elastic Strain Energy......Page 780 11.3 Strain Energy for a General State of Stress......Page 787 11.4 Impact Loads......Page 801 11.5 Single Loads......Page 805 *11.6 Multiple Loads......Page 819 *11.7 Castigliano's Theorem......Page 821 *11.8 Deflections by Castigliano's Theorem......Page 823 *11.9 Statically Indeterminate Structures......Page 827 Review and Summary......Page 840 Appendices......Page 850 A: Moments of Areas......Page 851 B: Typical Properties of Selected Materials Used in Engineering......Page 862 C: Properties of Rolled-Steel Shapes......Page 866 D: Beam Deflections and Slopes......Page 878 E: Fundamentals of Engineering Examination......Page 879 Answers to Problems......Page 880 Photo Credits......Page 891 C......Page 892 F......Page 893 N......Page 894 S......Page 895 Y......Page 897