Mechanics of Materials, 2nd Edition

by Roy R. Craig

• ISBN13: 9780471331766
• ISBN10: 0471331767
• Edition: 2
• Format: Hardcover
• Copyright: 1999-11-01
• Publisher: Wiley

Summary

The revision of this successful mechanics of materials text continues to feature a strong emphasis on the basics - equilibrium, force-temperature-deformation behavior of materials and geometry of deformation

Author Biography

<b>Roy R. Craig, Jr.</b> is the John J. McKetta Energy Professor in Engineering in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin. He received his B.S. degree in Civil Engineering from the University of Oklahoma, and M.S. and Ph.D. degrees in Theoretical and Applied Mechanics from the University of Illinois at Urbana-Champaign. Since 1961 he has been on the faculty of The University of Texas at Austin. His industrial experience has been with the U.S. Naval Civil Engineering Laboratory, the Boeing Company. Lockhead Palo Alto Research Laboratory, Exxon Production Research Corporation, NASA, and IBM.

Table of Contents

Introduction to Mechanics of Materials	1	(20)
What Is Mechanics of Materials?	1	(2)
The Fundamental Equations of Deformable-Body Mechanics	3	(3)
Problem-Solving Procedures	6	(2)
Review of Static Equilibrium; Equilibrium of Deformable Bodies	8	(9)
Problems	17	(4)
Stress and Strain; Design	21	(92)
Introduction	21	(1)
Normal Stress	21	(9)
Extensional Strain; Thermal Strain	30	(6)
Stress-Strain Diagrams; Mechanical Properties of Materials	36	(8)
Elasticity and Plasticity; Temperature Effects	44	(3)
Linear Elasticity; Hooke's Law and Poisson's Ratio	47	(3)
Shear Stress and Shear Strain; Shear Modulus	50	(6)
Introduction to Design---Axial Loads and Direct Shear	56	(8)
Stresses on an Inclined Plane in an Axially Loaded Member	64	(2)
Saint-Venant's Principle	66	(2)
Hooke's Law for Plane Stress; The Relationship Between E and G	68	(3)
General Definitions of Stress and Strain	71	(10)
Cartesian Components of Stress; Generalized Hooke's Law for Isotropic Materials	81	(5)
Problems	86	(27)
Axial Deformation	113	(114)
Introduction	113	(1)
Basic Theory of Axial Deformation	113	(6)
Structures with Uniform Axial-Deformation Members	119	(9)
Examples of Nonuniform Axial Deformation	128	(6)
Statically Indeterminate Structures	134	(9)
Thermal Effects on Axial Deformation	143	(11)
Geometric ``Misfits,''	154	(6)
Displacement-Method Solution of Axial-Deformation Problems	160	(12)
Force-Method Solution of Axial-Deformation Problems	172	(9)
Introduction to the Analysis of Planar Trusses	181	(8)
Inelastic Axial Deformation	189	(12)
Problems	201	(26)
Torsion	227	(71)
Introduction	227	(1)
Torsional Deformation of Circular Bars	228	(3)
Torsion of Linearly Elastic Circular Bars	231	(8)
Stress Distribution in Circular Torsion Bars; Torsion Testing	239	(4)
Statically Determinate Assemblages of Uniform Torsion Members	243	(5)
Statically Indeterminate Assemblages of Uniform Torsion Members	248	(8)
Displacement-Method Solution of Torsion Problems	256	(6)
Power-Transmission Shafts	262	(3)
Thin-Wall Torsion Members	265	(5)
Torsion of Noncircular Prismatic Bars	270	(4)
Inelastic Torsion of Circular Rods	274	(6)
Problems	280	(18)
Equilibrium of Beams	298	(40)
Introduction	298	(5)
Equilibrium of Beams Using Finite Free-Body Diagrams	303	(4)
Equilibrium Relationships Among Loads, Shear Force, and Bending Moment	307	(3)
Shear-Force and Bending-Moment Diagrams	310	(12)
Discontinuity Functions to Represent Loads, Shear, and Moment	322	(7)
Problems	329	(9)
Stresses in Beams	338	(110)
Introduction	338	(3)
Strain-Displacement Analysis	341	(6)
Flexural Stress in Linearly Elastic Beams	347	(9)
Design of Beams for Strength	356	(6)
Flexural Stress in Nonhomogeneous Beams	362	(7)
Unsymmetric Bending	369	(10)
Inelastic Bending of Beams	379	(10)
Shear Stress and Shear Flow in Beams	389	(6)
Limitations on the Shear Stress Formula	395	(3)
Shear Stress in Thin-Wall Beams	398	(10)
Shear in Built-Up Beams	408	(4)
Shear Center	412	(7)
Problems	419	(29)
Deflection of Beams	448	(76)
Introduction	448	(1)
Differential Equations of the Deflection Curve	449	(6)
Slope and Deflection by Integration---Statically Determinate Beams	455	(13)
Slope and Deflection by Integration---Statically Indeterminate Beams	468	(5)
Use of Discontinuity Functions to Determine Beam Deflections	473	(7)
Slope and Deflection of Beams: Superposition Method	480	(18)
Slope and Deflection of Beams: Displacement Method	498	(7)
Problems	505	(19)
Transformation of Stress and Strain; Mohr's Circle	524	(61)
Introduction	524	(1)
Plane Stress	525	(2)
Stress Transformation for Plane Stress	527	(7)
Principal Stresses and Maximum Shear Stress	534	(6)
Mohr's Circle for Plane Stress	540	(7)
Triaxial Stress; Absolute Maximum Shear Stress	547	(7)
Plane Strain	554	(1)
Transformation of Strains in a Plane	555	(4)
Mohr's Circle for Strain	559	(6)
Measurement of Strain; Strain Rosettes	565	(5)
Analysis of Three-Dimensional Strain	570	(1)
Problems	571	(14)
Pressure Vessels; Stresses Due To Combined Loading	585	(29)
Introduction	585	(1)
Thin-Wall Pressure Vessels	586	(6)
Stress Distribution in Beams	592	(5)
Stresses Due to Combined Loads	597	(9)
Problems	606	(8)
Buckling of Columns	614	(46)
Introduction	614	(3)
The Ideal Pin-Ended Column; Euler Buckling Load	617	(6)
The Effect of End Conditions on Column Buckling	623	(7)
Eccentric Loading; the Secant Formula	630	(6)
Imperfections in Columns	636	(1)
Inelastic Buckling of Ideal Columns	637	(4)
Design of Centrally Loaded Columns	641	(6)
Problems	647	(13)
Energy Methods	660	(69)
Introduction	660	(1)
Work and Strain Energy	661	(7)
Elastic Strain Energy for Various Types of Loading	668	(6)
Work-Energy Principle for Calculating Deflections	674	(5)
Castigliano's Second Theorem; the Unit-Load Method	679	(11)
Virtual Work	690	(4)
Strain-Energy Methods	694	(5)
Complementary-Energy Methods	699	(10)
Dynamic Loading; Impact	709	(5)
Problems	714	(15)
Special Topics Related to Design	729	(19)
Introduction	729	(1)
Stress Concentrations	729	(7)
Failure Theories	736	(8)
Fatigue and Fracture	744	(4)
Problems	748