Mechanics of Materials 9th (NON SI)

1 Tension, Compression, and Shear
1.1 Introduction to Mechanics of Materials 2
1.2 Problem-Solving Approach 2
1.3 Statics Review 3
1.4 Normal Stress and Strain 22
1.5 Mechanical Properties of Materials 31
1.6 Elasticity, Plasticity, and Creep 38
1.7 Linear Elasticity, Hooke’s Law, and Poisson’s Ratio 44
1.8 Shear Stress and Strain 50
1.9 Allowable Stresses and Allowable Loads 63
1.10 Design For Axial Loads and Direct Shear 70
Chapter Summary and Review 74
Problems 77

2 Axially Loaded Members
2.1 Introduction 120
2.2 Changes in Lengths of Axially Loaded Members 120
2.3 Changes in Lengths under Nonuniform Conditions 128
2.4 Statically Indeterminate Structures 142
2.5 Thermal Effects, Misfits, and Prestrains 155
2.6 Stresses on Inclined Sections 174
2.7 Strain Energy 186
*2.8 Impact Loading 197
*2.9 Repeated Loading and Fatigue 205
*2.10 Stress Concentrations 207
*2.11 Nonlinear Behavior 214
*2.12 Elastoplastic Analysis 218
Chapter Summary and Review 225
Problems 227
* Specialized and/or advanced topics

3.1 Introduction 274
3.2 Torsional Deformations of a Circular Bar 274
3.3 Circular Bars of Linearly Elastic Materials 277
3.4 Nonuniform Torsion 290
3.5 Stresses and Strains in Pure Shear 302
3.6 Relationship Between Moduli of Elasticity E and G 309
3.7 Transmission of Power by Circular Shafts 311
3.8 Statically Indeterminate Torsional Members 315
3.9 Strain Energy in Torsion and Pure Shear 319
3.10 Torsion of Noncircular Prismatic Shafts 326
3.11 Thin-Walled Tubes 336
*3.12 Stress Concentrations in Torsion 344
Chapter Summary and Review 349
Problems 352
*Specialized and/or advanced topics

4 Shear Forces and Bending Moments
4.1 Introduction 377
4.2 Types of Beams, Loads, and Reactions 378
4.3 Shear Forces and Bending Moments 388
4.4 Relationships Among Loads, Shear Forces, and Bending
Moments 396
4.5 Shear-Force and Bending-Moment Diagrams 400
Chapter Summary and Review 427
poblems 429

5.1 Introduction 446
5.2 Pure Bending and Nonuniform Bending 446
5.3 Curvature of a Beam 447
5.4 Longitudinal Strains in Beams 449
5.5 Normal Stresses in Beams (Linearly Elastic Materials) 453
5.6 Design of Beams for Bending Stresses 466
5.7 Nonprismatic Beams 476
5.8 Shear Stresses in Beams of Rectangular Cross Section 480
5.9 Shear Stresses in Beams of Circular Cross Section 488
5.10 Shear Stresses in the Webs of Beams with Flanges 491

*5.11 Built-Up Beams and Shear Flow 498
*5.12 Beams with Axial Loads 502
*5.13 Stress Concentrations in Bending 509
Chapter Summary and Review 514
Problems 518
*Specialized and/or advanced topics

6 Stresses in Beams (Advanced Topics)
6.1 Introduction 554
6.2 Composite Beams 554
6.3 Transformed-Section Method 563
6.4 Doubly Symmetric Beams with Inclined Loads 571
6.5 Bending of Unsymmetric Beams 578
6.6 The Shear-Center Concept 589
6.7 Shear Stresses in Beams of Thin-Walled Open Cross Sections 590
6.8 Shear Stresses in Wide-Flange Beams 593
6.9 Shear Centers of Thin-Walled Open Sections 597
*6.10 Elastoplastic Bending 605
Chapter Summary and Review 614
Problems 616
*Specialized or Advanced Topics

7 Analysis of Stress and Strain
7.1 Introduction 640
7.2 Plane Stress 640
7.3 Principal Stresses and Maximum Shear Stresses 648
7.4 Mohr’s Circle for Plane Stress 656
7.5 Hooke’s Law for Plane Stress 669
7.6 Triaxial Stress 675
7.7 Plane Strain 679
Chapter Summary and Review 694
Problems 697

8 Applications of Plane Stress
(Pressure Vessels, Beams, and Combined Loadings

8.1 Introduction 720
8.2 Spherical Pressure Vessels 720
8.3 Cylindrical Pressure Vessels 726
8.4 Maximum Stresses in Beams 733
8.5 Combined Loadings 741
Chapter Summary and Review 766
Problems 768

9 Deflections of Beams

9.1 Introduction 788
9.2 Differential Equations of the Deflection Curve 788
9.3 Deflections by Integration of the Bending-Moment
Equation 793
9.4 Deflections by Integration of the Shear-Force and Load
Equations 804
9.5 Method of Superposition 809
9.6 Moment-Area Method 818
9.7 Nonprismatic Beams 826
9.8 Strain Energy of Bending 831
*9.9 Castigliano’s Theorem 836
*9.10 Deflections Produced by Impact 848
*9.11 Temperature Effects 850
Chapter Summary and Review 854
Problems 856
*Advanced topics

10 Statically Indeterminate Beams

10.1 Introduction 884
10.2 Types of Statically Indeterminate Beams 884
10.3 Analysis by the Differential Equations of the Deflection
Curve 887
10.4 Method of Superposition 893
*10.5 Temperature Effects 907
*10.6 Longitudinal Displacements at the Ends of a Beam 914
Chapter Summary and Review 917
Problems 919
*Advanced topics

11 Columns
11.1 Introduction 934
11.2 Buckling and Stability 934
11.3 Columns with Pinned Ends 942
11.4 Columns with Other Support Conditions 951
11.5 Columns with Eccentric Axial Loads 960
11.6 The Secant Formula for Columns 965
11.7 Elastic and Inelastic Column Behavior 970
11.8 Inelastic Buckling 972

11.9 Design Formulas for Columns 977
Chapter Summary and Review 993
Problems 996

 
Barry John Goodno is Professor of Civil and Environmental Engineering at Georgia Institute of Technology. He joined the Georgia Tech faculty in 1974. He was an Evans Scholar and received a B.S. in Civil Engineering from the University of Wisconsin, Madison, Wisconsin, in 1970. He received M.S. and Ph.D. degrees in Structural Engineering from Stanford University, Stanford, California, in 1971 and 1975, respectively. He holds a professional engineering license (PE) in Georgia, is a Distinguished Member of ASCE and an Inaugural Fellow of SEI, and has held numerous leadership positions within ASCE.

He is a member of the Engineering Mechanics Institute (EMI) of ASCE and is a past president of the ASCE Structural Engineering Institute (SEI) Board of Governors. He is past-chair of the ASCE-SEI Technical Activities Division (TAD) Executive Committee, and past-chair of the ASCE-SEI Awards Committee. In 2002, Dr. Goodno received the SEI Dennis L. Tewksbury Award for outstanding service to ASCE-SEI. He received the departmental award for Leadership in Use of Technology in 2013 for his pioneering use of lecture capture technologies in undergraduate statics and mechanics of materials courses at Georgia Tech.

He is a member of the Earthquake Engineering Research Institute (EERI) and has held several leadership positions within the NSF-funded Mid-America Earthquake Center (MAE), directing the MAE Memphis Test Bed Project. Dr. Goodno has carried out research, taught graduate courses and published extensively in the areas of earthquake engineering and structural dynamics during his tenure at Georgia Tech. Dr. Goodno is an active cyclist, retired soccer coach and referee, and a retired marathon runner. Like co-author and mentor James Gere, he has completed numerous marathons including qualifying for and running the Boston Marathon in 1987.

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