Mechanical Engineer’s Handbook – J. David Irwin, Dan B. Marghitu – 1st Edition

Part 1 Statics
1.1 Terminology and Notation
1.5 Unit Vectors
1.6 Vector Addition
1.7 Resolution of Vectors and Components
1.8 Angle between Two Vectors
1.10 Vector ( Cross) Product of Vectors
1.12 Vector Triple Product of

2.1 Position Vector
2.3 Centroid of a Set of Points
2.4 Centroid of a Curve, Surface, or Solid
2.6 Mass Center of a Curve, Surface, or Solid
2.7 First Moment of an Area
2.8 Theorems of Guldinus ± Pappus
2.9 Second Moments and the Product of Area
2.10 Transfer Theorems or Parallel- Axis Theorems
2.11 Polar Moment of Area
2.12 Principal Axes

3.1 Moment of a Bound Vector about a Point
3.2 Moment of a Bound Vector about a Line
3.3 Moments of a System of Bound Vectors
3.4 Couples
3.5 Equivalence
3.6 Representing Systems by Equivalent Systems

4.1 Equilibrium Equations
4.2 Supports
4.3 Free-Body Diagrams

5. Dry Friction
5.2 Kinetic Coefficient of Friction
5.3 Angles of Friction

Part 2 Dynamics
1.2 Numbers
1.3 Angular Units

2.1 Position, Velocity, and Acceleration of a Point
2.2 Angular Motion of a Line
2.3 Rotating Unit Vector
2.4 Straight Line Motion
2.5 Curvilinear Motion
2.6 Normal and Tangential Components
2.7 Relative Motion

3.1 Newton's Second Law
3.3 Inertial Reference Frames
3.4 Cartesian Coordinates
3.5 Normal and Tangential Components
3.6 Polar and Cylindrical Coordinates
3.7 Principle of Work and Energy
3.8 Work and Power
3.9 Conservation of Energy
3.10 Conservative Forces
3.11 Principle of Impulse and Momentum
3.12 Conservation of Linear Momentum
3.13 Impact
3.14 Principle of Angular Impulse and Momentum

4.1 Types of Motion
4.2 Rotation about a Fixed Axis
4.3 Relative Velocity of Two Points of the Rigid Body
4.4 Angular Velocity Vector of a Rigid Body
4.5 Instantaneous Center
4.6 Relative Acceleration of Two Points of the Rigid Body
4.7 Motion of a Point That Moves Relative to a Rigid Body

5.1 Equation of Motion for the Center of Mass
5.2 Angular Momentum Principle for a System of Particles
5.3 Equations of Motion for General Planar Motion
5.4 D'Alembert's Principle

Part 3 Mechanics of Materials
1.2 Stress Components
1.3 Mohr's Circle
1.4 Triaxial Stress
1.5 Elastic Strain
1.6 Equilibrium
1.7 Shear and Moment
1.8 Singularity Functions
1.9 Normal Stress in Flexure
1.10 Beams with Asymmetrical Sections
1.11 Shear Stresses in Beams
1.12 Shear Stresses in Rectangular Section Beams
1.13 Torsion
1.14 Contact Stresses

2. Defection and Stiffness
2.2 Spring Rates for Tension, Compression, and Torsion
2.3 Deflection Analysis
2.4 Deflections Analysis Using Singularity Functions
2.5 Impact Analysis
2.6 Strain Energy
2.7 Castigliano's Theorem
2.9 Long Columns with Central Loading
2.10 Intermediate- Length Columns with Central Loading
2.11 Columns with Eccentric Loading
2.12 Short Compression Members

3.1 Endurance Limit
3.3 Constant Life Fatigue Diagram
3.4 Fatigue Life for Randomly Varying Loads
3.5 Criteria of Failure

Part 4 Theory of Mechanisms
1.2 Mobility
1.3 Kinematic Pairs
1.4 Number of Degrees of Freedom
1.5 Planar Mechanisms

2.1 Cartesian Method
2.2 Vector Loop Method

3. Velocity and Acceleration Analysis
3.2 RRR Dyad
3.3 RRT Dyad
3.4 RTR Dyad
3.5 TRT Dyad

4.1 Moment of a Force about a Point
4.2 Inertia Force and Inertia Moment
4.3 Free- Body Diagrams
4.4 Reaction Forces
4.5 Contour Method

Part 5 Machine Components
1.1 Screw Thread
1.2 Power Screws

2.2 Geometry and Nomenclature
2.3 Interference and Contact Ratio
2.4 Ordinary Gear Trains
2.5 Epicyclic Gear Trains
2.6 Differential
2.7 Gear Force Analysis
2.8 Strength of Gear Teeth

3.2 Materials for Springs
3.4 Helical Compression Springs
3.5 Torsion Springs
3.6 Torsion Bar Springs
3.7 Multileaf Springs
3.8 Belleville Springs0

4.1 Generalities
4.3 Geometry
4.4 Static Loading
4.5 Standard Dimensions
4.6 Bearing Selection

5.1 Viscosity
5.2 Petroff's Equation
5.3 Hydrodynamic Lubrication Theory
5.4 Design Charts

Part 6 Theory of Vibration
1 Introduction

2. Linear Systems with One Degree of Freedom
2.1 Equation of Motion
2.2 Free Undamped Vibrations
2.3 Free Damped Vibrations
2.4 Forced Undamped Vibrations
2.5 Forced Damped Vibrations
2.6 Mechanical Impedance
2.7 Vibration Isolation: Transmissibility
2.8 Energetic Aspect of Vibration with One DOF
2.9 Critical Speed of Rotating Shafts

3. Linear Systems with Finite Numbers of Degrees of Freedom
3.1 Mechanical Models
3.2 Mathematical Models
3.3 System Model
3.4 Analysis of System Model
3.5 Approximative Methods for Natural Frequencies0

4.1 The Machine Tool as a System
4.2 Actuator Subsystems
4.3 The Elastic Subsystem of a Machine Tool
4.4 Elastic System of Machine- Tool Structure
4.5 Subsystem of the Friction Process
4.6 Subsystem of Cutting Process

Part 7 Principles of Heat Transfer
1. Heat Transfer Thermodynamics
1.1 Physical Mechanisms of Heat Transfer: Conduction,
1.2 Technical Problems of Heat Transfer

2. Conduction Heat Transfer
2.1 The Heat Diffusion Equation
2.2 Thermal Conductivity
2.3 Initial, Boundary, and Interface Conditions
2.4 Thermal Resistance
2.5 Steady Conduction Heat Transfer
2.6 Heat Transfer from Extended Surfaces ( Fins)
2.7 Unsteady Conduction Heat Transfer

3.1 External Forced Convection
3.2 Internal Forced Convection
3.3 External Natural Convection
3.4 Internal Natural Convection

Part 8 Fluid Dynamics
1.3 Specific Weight
1.4 Viscosity
1.8 Bulk Modulus of Elasticity
1.9 Statics
1.10 Hydrostatic Forces on Surfaces
1.12 Dimensional Analysis and Hydraulic Similitude
1.13 Fundamentals of Fluid Flow

2.1 Absolute and Gage Pressure
2.2 Bernoulli's Theorem
2.3 Hydraulic Cylinders
2.4 Pressure Intensifiers
2.5 Pressure Gages
2.6 Pressure Controls
2.7 Flow- Limiting Controls
2.8 Hydraulic Pumps
2.9 Hydraulic Motors0
2.10 Accumulators
2.12 Fluid Power Transmitted
2.13 Piston Acceleration and Deceleration
2.14 Standard Hydraulic Symbols
2.15 Filters
2.16 Representative Hydraulic System

Part 9 Control
1. Introduction
1.1 A Classic Example

2. Signals
3.1 Transfer Functions for Standard Elements
3.2 Transfer Functions for Classic Systems
4. Connection of Elements0
5. Poles and Zeros

6.1 Input Variation Steady- State Error
6.2 Disturbance Signal Steady- State Error

7. Time-Domain Performance

8. Frequency-Domain Performances
8.1 The Polar Plot Representation
8.2 The Logarithmic Plot Representation
8.3 Bandwidth

9. Stability of Linear Feedback Systems
9.1 The Routh ± Hurwitz Criterion
9.2 The Nyquist Criterion
9.3 Stability by Bode Diagrams

10. Design of Closed-Loop Control Systems by Pole- Zero Methods
10.1 Standard Controllers
10.2 P- Controller Performance
10.3 Effects of the Supplementary Zero
10.4 Effects of the Supplementary Pole
10.5 Effects of Supplementary Poles and Zeros
10.6 Design Example: Closed- Loop Control of a Robotic Arm

11. Design of Closed-Loop Control Systems by Frequential Methods

12. State Variable Models

13.1 Nonlinear Models: Examples
13.2 Phase Plane Analysis
13.3 Stability of Nonlinear Systems
13.4 Liapunov's First Method
13.5 Liapunov's Second Method

14. Nonlinear Controllers by Feedback Linearization

15.1 Fundamentals of Sliding Control
15.2 Variable Structure Systems

A. 1 Differential Equations of Mechanical Systems
A. 3 Mapping Contours in the
A. 4 The Signal Flow Diagram

Differential Equations and Systems of Differential Equations
1.1 Ordinary Differential Equations: Introduction
1.2 Integrable Types of Equations
1.3 On the Existence, Uniqueness, Continuous Dependence
1.4 Linear Differential Equations
2.1 Fundamentals
2.2 Integrating a System of Differential Equations by the
2.3 Finding Integrable Combinations
2.4 Systems of Linear Differential Equations
2.5 Systems of Linear Differential Equations with Constant