Engineering Mechanics : Statics

by Bedford, Anthony; Fowler, Wallace T.

• ISBN13: 9780130324726
• ISBN10: 0130324728
• Edition: 3rd
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: PRENTICE HALL

Summary

For core introductory statics courses found in mechanical, civil, aeronautical, or engineering mechanics departments.This text presents the foundations and applications of statics by emphasizing the importance of visual analysis of topics especially through the use of free body diagrams. It also promotes a problem-solving approach to solving examples through its strategy, solution, and discussion format in examples. The authors further include design and computational examples that help instructors integrate these ABET 2000 requirements.

Table of Contents

Preface	xiii
About the Authors	xxi
Introduction	2	(16)
Engineering and Mechanics	4	(1)
Learning Mechanics	4	(1)
Problem Solving	4	(1)
Calculators and Computers	5	(1)
Engineering Applications	5	(1)
Subsequent Use of This Text	5	(1)
Fundamental Concepts	5	(3)
Space and Time	6	(1)
Newton's Laws	7	(1)
Units	8	(5)
International System of Units	8	(1)
U.S. Customary Units	9	(1)
Angular Units	9	(1)
Conversion of Units	10	(3)
Newtonian Gravitation	13	(5)
Vectors	18	(65)
Vector Operations and Definitions	20	(1)
Scalars and Vectors	20	(1)
Rules for Manipulating Vectors	21	(8)
Vector Addition	21	(2)
Product of a Scalar and a Vector	23	(1)
Vector Subtraction	23	(1)
Unit Vectors	23	(1)
Vector Components	24	(5)
Cartesian Components	29	(1)
Components in Two Dimensions	29	(13)
Manipulating Vectors in Terms of Components	30	(1)
Position Vectors in Terms of Components	30	(12)
Components in Three Dimensions	42	(16)
Magnitude of a Vector in Terms of Components	43	(1)
Direction Cosines	44	(1)
Position Vectors in Terms of Components	45	(1)
Components of a Vector Parallel to a Given Line	45	(13)
Products of Vectors	58	(1)
Dot Products	58	(9)
Definition	58	(1)
Dot Products in Terms of Components	59	(1)
Vector Components Parallel and Normal to a Line	60	(7)
Cross Products	67	(2)
Definition	67	(1)
Cross Products in Terms of Components	67	(1)
Evaluating a 3 x 3 Determinant	68	(1)
Mixed Triple Products	69	(14)
Chapter Summary	76	(2)
Review Problems	78	(5)
Forces	83	(41)
Types of Forces	84	(5)
Terminology	84	(1)
Gravitational Forces	84	(1)
Contact Forces	85	(4)
Equilibrium and Free-Body Diagrams	89	(2)
Two-Dimensional Force Systems	91	(15)
Application to Engineering: Steady Flight	95	(11)
Three-Dimensional Force Systems	106	(18)
Computational Mechanics	114	(4)
Chapter Summary	118	(2)
Review Problems	120	(4)
Systems of Forces and Moments	124	(76)
Two-Dimensional Description of the Moment	126	(22)
The Moment Vector	137	(1)
Magnitude of the Moment	137	(1)
Sense of the Moment	137	(2)
Relation to the Two-Dimensional Description	139	(1)
Varignon's Theorem	140	(8)
Moment of a Force About a Line	148	(13)
Definition	148	(2)
Applying the Definition	150	(4)
Application to Engineering: Rotating Machines	154	(7)
Couples	161	(9)
Equivalent Systems	170	(4)
Conditions for Equivalence	170	(1)
Demonstration of Equivalence	170	(4)
Representing Systems by Equivalent Systems	174	(26)
Representing a System by a Force and a Couple	175	(5)
Representing a System by a Wrench	180	(10)
Computational Mechanics	190	(3)
Chapter Summary	193	(1)
Review Problems	194	(6)
Objects in Equilibrium	200	(60)
The Equilibrium Equations	202	(1)
Two-Dimensional Applications	202	(21)
Supports	203	(3)
Free-Body Diagrams	206	(1)
The Scalar Equilibrium Equations	207	(5)
Application to Engineering: Design for Human Factors	212	(11)
Statically Indeterminate Objects	223	(6)
Redundant Supports	223	(2)
Improper Supports	225	(4)
Three-Dimensional Applications	229	(16)
Supports	229	(5)
The Scalar Equilibrium Equations	234	(11)
Two-Force and Three-Force Members	245	(15)
Two-Force Members	245	(2)
Three-Force Members	247	(5)
Computational Mechanics	252	(2)
Chapter Summary	254	(2)
Review Problems	256	(4)
Structures in Equilibrium	260	(56)
Trusses	262	(2)
The Method of Joints	264	(11)
Application to Engineering: Bridge Design	268	(7)
The Method of Sections	275	(5)
Space Trusses	280	(4)
Frames and Machines	284	(32)
Analyzing the Entire Structure	285	(1)
Analyzing the Members	285	(22)
Computational Mechanics	307	(3)
Chapter Summary	310	(1)
Review Problems	311	(5)
Centroids and Centers of Mass	316	(58)
Centroids	318	(1)
Centroids of Areas	319	(6)
Centroids of Composite Areas	325	(6)
Distributed Loads	331	(6)
Describing a Distributed Load	331	(1)
Determining Force and Moment	331	(1)
The Area Analogy	332	(5)
Centroids of Volumes and Lines	337	(12)
Definitions	338	(5)
Centroids of Composite Volumes and Lines	343	(6)
The Pappus-Guldinus Theorems	349	(5)
First Theorem	349	(1)
Second Theorem	350	(4)
Centers of Mass	354	(1)
Definition of the Center of Mass	354	(1)
Centers of Mass of Objects	355	(5)
Centers of Mass of Composite Objects	360	(14)
Application to Engineering: Centers of Mass of Vehicles	363	(4)
Chapter Summary	367	(2)
Review Problems	369	(5)
Moments of Inertia	374	(48)
Areas	376	(1)
Definitions	376	(7)
Parallel-Axis Theorems	383	(12)
Application to Engineering: Beam Design	389	(6)
Rotated and Principal Axes	395	(10)
Rotated Axes	396	(1)
Moment of Inertia About the x' Axis	396	(1)
Moment of Inertia About the y' Axis	397	(1)
Principal Axes	397	(3)
Mohr's Circle	400	(5)
Masses	405	(1)
Simple Objects	405	(3)
Slender Bars	405	(1)
Thin Plates	406	(2)
Parallel-Axis Theorem	408	(14)
Chapter Summary	417	(2)
Review Problems	419	(3)
Friction	422	(54)
Theory of Dry Friction	424	(18)
Coefficients of Friction	425	(2)
Angles of Friction	427	(15)
Applications	442	(34)
Wedges	443	(2)
Threads	445	(7)
Journal Bearings	452	(2)
Thrust Bearings and Clutches	454	(6)
Belt Friction	460	(3)
Application to Engineering: Belts and Pulleys	463	(5)
Computational Mechanics	468	(3)
Chapter Summary	471	(1)
Review Problems	472	(4)
Internal Forces and Moments	476	(52)
Beams	478	(1)
Axial Force, Shear Force, and Bending Moment	478	(6)
Shear Force and Bending Moment Diagrams	484	(6)
Relations Between Distributed Load, Shear Force, and Bending Moment	490	(7)
Cables	497	(1)
Loads Distributed Uniformly Along Straight Lines	497	(4)
Shape of the Cable	497	(1)
Tension of the Cable	498	(1)
Length of the Cable	498	(3)
Loads Distributed Uniformly Along Cables	501	(5)
Shape of the Cable	501	(1)
Tension of the Cable	502	(1)
Length of the Cable	502	(4)
Discrete Loads	506	(7)
Determining the Configuration and Tensions	506	(1)
Comments on Continuous and Discrete Models	507	(3)
Computational Mechanics	510	(3)
Liquids and Gases	513	(1)
Pressure and the Center of Pressure	513	(2)
Pressure in a Stationary Liquid	515	(13)
Chapter Summary	524	(1)
Review Problems	525	(3)
Virtual Work and Potential Energy	528	(35)
Virtual Work	530	(11)
Work	530	(1)
Principle of Virtual Work	531	(2)
Application to Structures	533	(8)
Potential Energy	541	(15)
Examples of Conservative Forces	541	(2)
Principle of Virtual Work for Conservative Forces	543	(1)
Stability of Equilibrium	543	(7)
Computational Mechanics	550	(2)
Chapter Summary	552	(1)
Review Problems	553	(3)
APPENDICES
A Review of Mathematics	556	(3)
A.1 Algebra	556	(1)
A.2 Trigonometry	556	(1)
A.3 Derivatives	557	(1)
A.4 Integrals	557	(1)
A.5 Taylor Series	558	(1)
A.6 Vector Analysis	558	(1)
B Properties of Areas and Lines	559
B.1 Areas	559	(1)
B.2 Lines	560
C Properties of Volumes and Homogeneous Objects	556	(7)
Answers to Even-Numbered Problems	563	(10)
Index	573