Chapter 1 BASIC CONCEPTS 

1  (40) 


1  (1) 

1.2 Fundamental Quantities: Units, 


2  (1) 


3  (1) 


4  (1) 

1.5 Numerical Computations, 


5  (3) 

1.6 Trigonometric Functions, 


8  (9) 

1.7 Trigonometric Formulas, 


17  (7) 

1.8 Linear Equations and Determinants, 


24  (17) 
Chapter 2 RESULTANT OF CONCURRENT FORCES IN A PLANE 

41  (25) 


41  (1) 

2.2 Graphical Representation of Forces: Vectors, 


42  (1) 

2.3 Resultant of Two Concurrent Forces: Vectors, 


42  (7) 

2.4 Resultant of Three or More Concurrent Forces, 


49  (3) 

2.5 Components of a Force Vector, 


52  (5) 

2.6 Resultant of Concurrent Forces by Rectangular Components, 


57  (5) 

2.7 Difference of Two Forces: Vector Differences, 


62  (4) 
Chapter 3 EQUILIBRIUM OF CONCURRENT FORCES IN A PLANE 

66  (29) 

3.1 Conditions for Equilibrium, 


66  (1) 


67  (1) 

3.3 Space Diagram, FreeBody Diagram, 


68  (1) 

3.4 Construction of a FreeBody Diagram, 


68  (9) 

3.5 Three Concurrent Forces in Equilibrium, 


77  (8) 

3.6 Four or More Forces in Equilibrium, 


85  (1) 

3.7 Equilibrium by Rectangular Component Method, 


86  (9) 
Chapter 4 RESULTANT OF NONCONCURRENT FORCES IN A PLANE 

95  (28) 


95  (1) 


96  (1) 


96  (3) 


99  (7) 

4.5 Resultant of Parallel Forces, 


106  (3) 

4.6 Resultant of Nonparallel Forces, 


109  (4) 


113  (2) 

4.8 Resolution of a Force into a Force and Couple, 


115  (4) 

4.9 Resultant of Distributed Loading, 


119  (4) 
Chapter 5 EQUILIBRIUM OF A RIGID BODY 

123  (30) 


123  (1) 

5.2 Support Conditions for Bodies in a Plane, 


124  (2) 

5.3 Construction of FreeBody Diagrams, 


126  (3) 

5.4 Equations for Equilibrium of a Rigid Body, 


129  (15) 

5.5 Equilibrium of a TwoForce Body, 


144  (1) 

5.6 Equilibrium of a ThreeForce Body, 


144  (4) 

5.7 Statical Determinacy and Constraint of a Rigid Body, 


148  (5) 
Chapter 6 FORCE ANALYSIS OF STRUCTURES AND MACHINES 

153  (47) 


153  (1) 

6.2 Simple Plane Trusses, 


154  (5) 

6.3 Members Under Special Loading, 


159  (1) 


159  (15) 

6.5 Graphical Method of Joints, 


174  (1) 


174  (7) 


181  (19) 
Chapter 7 FORCES IN SPACE 

200  (32) 


200  (1) 

7.2 Components of a Force in Space, 


201  (3) 

7.3 Resultant of Concurrent Forces in Space, 


204  (4) 

7.4 Equilibrium of a Concurrent Force System in Space, 


208  (8) 

7.5 Moment of a Force About an Axis, 


216  (1) 

7.6 Resultant of Parallel Forces in Space, 


217  (2) 

7.7 Support Conditions for Bodies in Space, 


219  (2) 

7.8 Equilibrium of a Rigid Body in Space, 


221  (11) 
Chapter 8 FRICTION 

232  (29) 


232  (1) 

8.2 Dry or Coulomb Friction, 


233  (3) 


236  (7) 


243  (1) 

8.5 SquareThreaded Screws: Screw Jacks, 


244  (5) 

8.6 Axle Friction: Journal Bearings, 


249  (3) 

8.7 Special Applications, 


252  (4) 


256  (5) 
Chapter 9 CENTER OF GRAVITY, CENTROIDS, AND MOMENTS OF INERTIA OF AREAS 

261  (55) 


261  (1) 


262  (1) 

9.3 Centroid of a Plane Area, 


263  (3) 

9.4 Centroids by Inspection, 


266  (1) 

9.5 Centroids of Composite Areas, 


267  (5) 

9.6 Centroids of Structural Cross Sections, 


272  (11) 

9.7 Moment of Inertia of a Plane Area, 


283  (4) 

9.8 ParallelAxis Theorem, 


287  (1) 

9.9 Moment of Inertia of Composite Areas, 


288  (16) 

9.10 Polar Moment of Inertia, 


304  (1) 


305  (1) 

9.12 Determination of Centroids by Integration, 


306  (5) 

9.13 Determination of Moments of Inertia by Integration, 


311  (5) 
Chapter 10 INTERNAL REACTIONS; STRESS FOR AXIAL LOADS 

316  (45) 


316  (4) 


320  (6) 


326  (2) 

10.4 Stress in an Axially Loaded Member, 


328  (5) 

10.5 Average Shear Stress, 


333  (1) 


334  (6) 

10.7 Problems Involving Normal, Shear, and Bearing Stress, 


340  (8) 

10.8 Allowable Stress, Factor of Safety, 


348  (7) 

10.9 Further Analysis of Axial Loads: Stresses on Oblique Sections, 


355  (6) 
Chapter 11 STRAIN FOR AXIAL LOADS: HOOKE'S LAW 

361  (38) 


362  (1) 

11.2 Tension Test and StressStrain Diagram, 


363  (4) 


367  (4) 

11.4 Axially Loaded Members, 


371  (5) 

11.5 Statically Indeterminate Axially Loaded Members, 


376  (6) 


382  (1) 

11.7 Thermal Deformation; Thermally Induced Stress 


383  (5) 

11.8 Additional Mechanical Properties of Materials, 


388  (3) 

11.9 Strain and Stress Distributions; SaintVenant's Principle, 


391  (1) 

11.10 Stress Concentrations, 


392  (4) 

11.11 Repeated Loading, Fatigue, 


396  (3) 
Chapter 12 SHEAR STRESSES AND STRAINS; TORSION 

399  (30) 


399  (1) 

12.2 Shearing Stress on Planes at Right Angles, 


400  (1) 


400  (1) 

12.4 Hooke's Law for Shear, 


401  (1) 

12.5 Torsion of a Circular Shaft, 


402  (4) 

12.6 Further Comments on the Torsion of a Circular Shaft, 


406  (2) 

12.7 Problems Involving Deformation and Stress in a Circular Shaft, 


408  (5) 


413  (1) 


414  (7) 


421  (8) 
Chapter 13 SHEAR FORCES AND BENDING MOMENTS IN BEAMS 

429  (34) 


429  (1) 


430  (1) 


431  (2) 

13.4 Shear Forces and Bending Moments in Beams, 


433  (10) 

13.5 ShearForce and BendingMoment Diagrams, 


443  (4) 

13.6 Relations Among Loads, Shear Forces, and Bending Moments, 


447  (16) 
Chapter 14 BENDING AND SHEARING STRESSES IN BEAMS 

463  (80) 


463  (1) 

14.2 Pure Bending of a Symmetrical Beam, 


464  (2) 

14.3 Deformation Geometry for a Symmetrical Beam in Pure Bending, 


466  (1) 

14.4 Hooke's Law: Distribution of Bending Stress, 


467  (1) 

14.5 Bending Stress Formula: Flexure Formula, 


468  (2) 

14.6 Elastic Section Modulus, 


470  (1) 

14.7 Problems Involving the Bending Stress Formula, 


470  (12) 

14.8 Shearing Stress in Beams, 


482  (2) 

14.9 Horizontal Shearing Stress Formula, 


484  (13) 

14.10 Shear Flow Formula, 


497  (5) 

14.11 Design of Beams for Strength, 


502  (16) 

14.12 Residential Design Using Tabulated Values, 


518  (25) 
Chapter 15 DEFLECTION OF BEAMS DUE TO BENDING 

543  (75) 


543  (1) 

15.2 BendingMoment Diagram by Parts, 


544  (9) 


553  (5) 

15.4 Deflection of a Cantilever Beam by the MomentArea Method, 


558  (7) 

15.5 Deflection of the Simply Supported Beam by the MomentArea Method, 


565  (8) 

15.6 Superposition Method, 


573  (9) 

15.7 Beam Deflections Using Computer Software, 


582  (8) 

15.8 Statically Indeterminate Beams by the Superposition Method, 


590  (7) 

15.9 Deflection of Beams by Integration, 


597  (9) 

15.10 Singularity Functions, 


606  (12) 
Chapter 16 COMBINED STRESSES AND MOHR'S CIRCLE 

618  (45) 


618  (1) 

16.2 Axial Forces and Bending Moments, 


619  (12) 

16.3 Unsymmetrical Bending, 


631  (4) 

16.4 Eccentrically Loaded Members, 


635  (3) 


638  (1) 

16.6 Stress Components on an Oblique Plane, 


638  (2) 

16.7 Mohr's Circle for Plane Stress, 


640  (4) 


644  (2) 

16.9 Maximum Shear Stress, 


646  (2) 


648  (2) 

16.11 Biaxial Stress: ThinWalled Pressure Vessel, 


650  (5) 


655  (1) 

16.13 Combined Stress Problems, 


656  (7) 
Chapter 17 COLUMNS 

663  (20) 


663  (2) 

17.2 Euler Column Formula, 


665  (2) 

17.3 Effective Length of Columns, 


667  (1) 

17.4 Further Comments on the Euler Column Formula, 


668  (4) 

17.5 Tangent Modulus Theory, 


672  (1) 

17.6 Empirical Column Formulas: Design Formulas, 


673  (10) 
Chapter 18 BOLTED, RIVETED, AND WELDED STRUCTURAL CONNECTIONS 

683  (22) 


683  (1) 


684  (1) 

18.3 Methods of Failure for Bolted Joints, 


684  (3) 

18.4 Axially Loaded Bolted and Riveted Connections, 


687  (6) 

18.5 Shear Connections for Building Frames, 


693  (4) 


697  (3) 

18.7 Axially Loaded Welds, 


700  (5) 
Appendix 

705  (34) 
Answers to EvenNumbered Problems 

739  (10) 
Index 

749  