Preface 

xiii  


xvii  


1  (14) 


2  (1) 

Fundamental Concepts and Principles 


2  (3) 


5  (5) 

Conversion from One System of Units to Another 


10  (2) 

Method of Problem Solution 


12  (1) 


13  (2) 


15  (56) 


16  (1) 


16  (1) 

Force on a Particle. Resultant of Two Forces 


16  (1) 


17  (1) 


18  (2) 

Resultant of Several Concurrent Forces 


20  (1) 

Resolution of a Force into Components 


21  (6) 

Rectangular Components of a Force. Unit Vectors 


27  (3) 

Addition of Forces by Summing x and y Components 


30  (5) 

Equilibrium of a Particle 


35  (1) 

Newton's First Law of Motion 


36  (1) 

Problems Involving the Equilibrium of a Particle. FreeBody Diagrams 


36  (9) 


45  (1) 

Rectangular Components of a Force in Space 


45  (3) 

Force Defined by Its Magnitude and Two Points on Its Line of Action 


48  (1) 

Addition of Concurrent Forces in Space 


49  (8) 

Equilibrium of a Particle in Space 


57  (14) 

Review and Summary for Chapter 2 


64  (3) 


67  (4) 

Rigid Bodies: Equivalent Systems of Forces 


71  (82) 


72  (1) 

External and Internal Forces 


72  (1) 

Principle of Transmissibility. Equivalent Forces 


73  (2) 

Vector Product of Two Vectors 


75  (2) 

Vector Products Expressed in Terms of Rectangular Components 


77  (2) 

Moment of a Force about a Point 


79  (2) 


81  (1) 

Rectangular Components of the Moment of a Force 


81  (10) 

Scalar Product of Two Vectors 


91  (2) 

Mixed Triple Product of Three Vectors 


93  (2) 

Moment of a Force about a Given Axis 


95  (10) 


105  (1) 


106  (2) 


108  (1) 

Couples Can Be Represented by Vectors 


108  (1) 

Resolution of a Given Force Into a Force at O and a Couple 


109  (11) 

Reduction of a System of Forces to One Force and One Couple 


120  (2) 

Equivalent Systems of Forces 


122  (1) 

Equipollent Systems of Vectors 


122  (1) 

Further Reduction of a System of Forces 


123  (2) 

Reduction of a System of Forces to a Wrench 


125  (28) 

Review and Summary for Chapter 3 


144  (5) 


149  (4) 

Equilibrium of Rigid Bodies 


153  (56) 


154  (1) 


155  (1) 

Equilibrium in Two Dimensions 


156  (1) 

Reactions at Supports and Connections for a TwoDimensions Structure 


156  (2) 

Equilibrium of a Rigid Body in Two Dimensions 


158  (2) 

Statically Indeterminate Reactions. Partial Constraints 


160  (17) 

Equilibrium of a TwoForce Body 


177  (1) 

Equilibrium of a ThreeForce Body 


178  (7) 

Equilibrium in Three Dimensions 


185  (1) 

Equilibrium of a Rigid Body in Three Dimensions 


185  (1) 

Reactions at Supports and Connections for a ThreeDimensional Structure 


185  (24) 

Review and Summary for Chapter 4 


202  (2) 


204  (5) 

Distributed Forces: Centroids and Centers of Gravity 


209  (65) 


210  (1) 


210  (1) 

Center of Gravity of a TwoDimensional Body 


210  (2) 

Centroids of Areas and Lines 


212  (1) 

First Moments of Areas and Lines 


213  (3) 

Composite Plates and Wires 


216  (11) 

Determination of Centroids by Integration 


227  (2) 

Theorems of PappusGuldinus 


229  (11) 

Distributed Loads on Beams 


240  (1) 

Forces on Submerged Surfaces 


241  (10) 


251  (1) 

Center of Gravity of a ThreeDimensional Body. Centroid of a Volume 


251  (3) 


254  (1) 

Determination of Centroids of Volumes by Integration 


254  (20) 

Review and Summary for Chapter 5 


266  (4) 


270  (4) 


274  (67) 


275  (1) 


276  (1) 


276  (2) 


278  (1) 

Analysis of Trusses by the Method of Joints 


279  (2) 

Joints under Special Loading Conditions 


281  (2) 


283  (10) 

Analysis of Trusses by the Method of Sections 


293  (1) 

Trusses Made of Several Simple Trusses 


294  (11) 


305  (1) 

Structures Containing Multiforce Members 


305  (1) 


305  (1) 

Frames Which Cease to Be Rigid When Detached from Their Supports 


306  (15) 


321  (20) 

Review and Summary for Chapter 6 


333  (3) 


336  (5) 

Forces in Beams and Cables 


341  (55) 


342  (1) 

Internal Forces in Members 


342  (7) 


349  (1) 

Various Types of Loading and Support 


349  (1) 

Shear and Bending Moment in a Beam 


350  (2) 

Shear and BendingMoment Diagrams 


352  (8) 

Relations among Load, Shear, and Bending Moment 


360  (11) 


371  (1) 

Cables with Concentrated Loads 


371  (1) 

Cables with Distributed Loads 


372  (1) 


373  (9) 


382  (14) 

Review and Summary for Chapter 7 


390  (3) 


393  (3) 


396  (59) 


397  (1) 

The Laws of Dry Friction. Coefficients of Friction 


397  (3) 


400  (1) 

Problems Involving Dry Friction 


401  (16) 


417  (1) 


417  (9) 

Journal Bearings. Axle Friction 


426  (2) 

Thrust Bearings. Disk Friction 


428  (1) 

Wheel Friction. Rolling Resistance 


429  (7) 


436  (19) 

Review and Summary for Chapter 8 


447  (3) 


450  (5) 

Distributed Forces: Moments of Inertia 


455  (84) 


456  (1) 

Moments of Inertia of Areas 


457  (1) 

Second Moment, or Moment of Inertia, of an Area 


457  (1) 

Determination of the Moment of Inertia of an Area by Integration 


458  (1) 


459  (1) 

Radius of Gyration of an Area 


460  (7) 


467  (1) 

Moments of Inertia of Composite Areas 


468  (13) 


481  (1) 

Principal Axes and Principal Moments of Inertia 


482  (8) 

Mohr's Circle for Moments and Products of Inertia 


490  (6) 

Moments of Inertia of Masses 


496  (1) 

Moment of Inertia of a Mass 


496  (2) 


498  (1) 

Moments of Inertia of Thin Plates 


499  (1) 

Determination of the Moment of Inertia of a ThreeDimensional Body by Integration 


500  (1) 

Moments of Inertia of Composite Bodies 


500  (15) 

Moment of Inertia of a Body with Respect to an Arbitrary Axis through O. Mass Products of Inertia 


515  (1) 

Ellipsoid of Inertia. Principal Axes of Inertia 


516  (2) 

Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape 


518  (21) 

Review and Summary for Chapter 9 


529  (6) 


535  (4) 


539  (42) 


540  (1) 


540  (3) 

Principle of Virtual Work 


543  (1) 

Applications of the Principle of Virtual Work 


544  (2) 

Real Machines. Mechanical Efficiency 


546  (14) 

Work of a Force during a Finite Displacement 


560  (2) 


562  (1) 

Potential Energy and Equilibrium 


563  (1) 


564  (17) 

Review and Summary for Chapter 10 


574  (3) 


577  (4) 
Index 

581  (6) 
Answers to Problems 

587  