حل كتاب Engineering Mechanics – Statics Meriam 5th Edition Solution Manual
حل كتاب
Engineering Mechanics – Statics Meriam 5th Edition Solution Manual
I. L. MERIAM, L. G. KRAIGE, WILLIAM I. PALM
CONTENTS
Chapter
I N T R O D U C T I O N T O S T A T I C S 3
1/1 Mechanics
1/2 Basic Concepts
1/3 Scalars and Vectors
Conventions for Equations and Diagrams 5
Working with Vectors 6
1/4 Newton’s Laws
1/5 Units
SI Units 9
U.S. Customary Units 9
Primary Standards 10
Unit Conversions 11
1/6 Law of Gravitation
Gravitational Attraction of the Earth 12
1/7 Accuracy, Limits, and Approximations
Differentials 14
Small-Angle Approximations 14
1/8 Problem Solving in Statics
Making the Appropriate Assumptions 15
Using Graphics 15
Formulating Problems and Obtaining Solutions 16
The Free-Body Diagram 16
Numerical Values versus Symbols 17
Solution Methods 17
Chapter Review
Chapter 2
F O R C E S Y S T E M S 23
2/1 Introduction
2/2 Force
External and Internal Effects 24
Principle of Transmissibility 24
Force Classification 24
Action and Reaction 25
Concurrent Forces 25
Vector Components 26
A Special Case of Vector Addition 26
SECTION A. T W O – D I M E N S I O N A L F O R C E S Y S T E M S
2/3 Rectangular Components
Conventions for Describing Vector Components 27
Determining the Components of a Force 28
2/4 Moment
Moment about a Point 37
The Cross Product 38
Varignon’s Theorem 38
2/5 Couple
Vector Algebra Method 48
Equivalent Couples 48
Force-Couple Systems 49
2/6 Resultants
Algebraic Method 56
Principle of Moments
SECTION B. T H R E E – D I M E N S I O N A L F O R C E S Y S T E M S
2/7 Rectangular Components
Dot Product 65
Angle between Two Vectors 66
2/8 Moment and Couple
Moments in Three Dimensions 73
Evaluating the Cross Product 73
Moment about an Arbitrary Axis 74
Varignon’s Theorem in Three Dimensions 74
Couples in Three Dimensions 75
2/9 Resultants
Chapter Review
Chapter 3
E Q U I L I B R I U M 103
3 1 Introduction 103
SECTION A . E Q U I L I B R I U M I N T W O D I M E N S I O N S 104C o n t e n t s X V
3/2 System Isolation and the Free-Body Diagram
Modeling the Action of Forces 105
Construction of Free-Body Diagrams 108
Examples of Free-Body Diagrams 109
3/3 Equilibrium Conditions
Categories of Equilibrium 115
Two- and Three-Force Members 116
Alternative Equilibrium Equations 117
Constraints and Statical Determinacy 118
Adequacy of Constraints 119
Approach to Solving Problems
SECTION B. E Q U I L I B R I U M I N T H R E E D I M E N S I O N S 138
3/4 Equilibrium Conditions
Free-Body Diagrams 139
Categories of Equilibrium 139
Constraints and Statical Determinacy 141
Chapter Review
138
156
Chapter 4
S T R U C T U R E S 165
4/1 Introduction
4/2 Plane Trusses
Simple Trusses 167
Truss Connections and Supports 168
4/3 Method of Joints
Internal and External Redundancy 170
Special Conditions 170
4/4 Method of Sections
Illustration of the Method 179
Additional Considerations 180
4/5 Space Trusses
Statically Determinate Space Trusses 188
Method of Joints for Space Trusses 189
Method of Sections for Space Trusses 189
4/6 Frames and Machines
Interconnected Rigid Bodies with
Multiforce Members 195
Force Representation and Free-Body Diagrams
Chapter Review
Chapter 5
D I S T R I B U T E D F O R C E S 225
5/1 Introduction 225
SECTION A. C E N T E R S O F M A S S A N D C E N T R O I D S 227XVI Contents
5/2 Center of Mass
Determining the Center of Gravity 227
Center of Mass versus Center of Gravity 229
5/3 Centroids of Lines, Areas, and Volumes
Choice of Element for Integration 231
5/4 Composite Bodies and Figures; Approximations
An Approximation Method 246
Irregular Volumes 247
5/5 Theorems of Pappus
SECTION B. S P E C I A L T O P I C S
5/6 Beams- External Effects
Types of Beams 264
Distributed Loads 265
5/7 Beams-lnternal Effects
Shear, Bending, and Torsion 271
Shear-Force and Bending-Moment Diagrams 272
General Loading, Shear, and Moment Relationships 272
5/8 Flexible Cables
General Relationships 283
Parabolic Cable 285
Catenary Cable 287
5/9 Fluid Statics
Fluid Pressure 297
Hydrostatic Pressure on Submerged
Rectangular Surfaces 298
Hydrostatic Pressure on Cylindrical Surfaces 300
Hydrostatic Pressure on Flat Surfaces
of Any Shape 301
Buoyancy 302
Chapter Review
Chapter 6
F R I C T I O N 327
6/1 Introduction
SECTION A. F R I C T I O N A L P H E N O M E N A
6/2 Types of Friction
6/3 Dry Friction
Mechanism of Dry Friction 329
Static Friction 330
Kinetic Friction 330
Friction Angles 331
Factors Affecting Friction 332
Types of Friction Problems
SECTION B. A P P L I C A T I O N S O F F R I C T I O N
I N M A C H I N E S 348C o n t e n t s XVII
6/4 Wedges
6/5 Screws
Force Analysis
Conditions for Unwinding
6/6 Journal Bearings
6/7 Thrust Bearings; Disk Friction
6/8 Flexible Belts
6/9 Rolling Resistance
Chapter Review
Chapter 7
V I R T U A L W O R K 385
7/1 Introduction
7/2 Work
Work of a Force 386
Work of a Couple 387
Dimensions of Work 388
Virtual Work 388
7/3 Equilibrium
Equilibrium of a Particle 389
Equilibrium of a Rigid Body 389
Equilibrium of Ideal Systems of Rigid Bodies
Principle of Virtual Work 391
Degrees of Freedom 392
Systems with Friction 392
Mechanical Efficiency 393
7/4 Potential Energy and Stability
Elastic Potential Energy 405
Gravitational Potential Energy 406
Energy Equation 407
Active-Force Diagrams 407
Principle of Virtual Work 408
Stability of Equilibrium 409
Chapter Review
A/1 Introduction
A/2 Definitions
Rectangular and Polar Moments of Inertia 428
Radius of Gyration 429
Transfer of Axes 430
A/3 Composite Areas
A/4 Products of Inertia and Rotation of Axes
Definition 449
Transfer of Axes 449
Rotation of Axes 450
Mohr’s Circle of Inertia
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