The Handbook of Mechanical Engineering

by Fogiel, M.; Research and Education Association

• ISBN13: 9780878919802
• ISBN10: 0878919805
• Format: Hardcover
• Copyright: 1999-10-01
• Publisher: Research & Education Assn

Summary

Provides a comprehensive and concise handbook on mechanical engineering, reviewing the important facts and concepts in one reference source. Provides quick access to the important facts and formulas, principles, theorems, and equations in mechanical engineering.

Table of Contents

MECHANICS
SECTION A
Introduction	1	(2)
Fundamental Concepts	1	(1)
Systems of Units	2	(1)
Numerical Accuracy	2	(1)
Vectors	3	(10)
Scalars and Vectors	3	(1)
Vector Addition	4	(1)
Scalar Product	5	(2)
Vector Product	7	(1)
Mixed Triple Product	8	(1)
Vector Functions	9	(1)
Unit Vector	10	(1)
Transformation Matrix	11	(2)
Forces on a Particle	13	(6)
Newton's Laws	13	(1)
Vector Representation	14	(1)
Free-Body Diagram	15	(1)
Rectangular Components	16	(2)
Equilibrium of a Particle	18	(1)
Equivalent Systems of Particles	19	(11)
Rigid Bodies	19	(1)
Principle of Transmissibility	19	(1)
Moment of a Force About a Point	20	(2)
Varignon's Theorem	22	(1)
Moments About a Given Axis	22	(2)
Moment of a Couple	24	(1)
Addition of Couples	24	(1)
Resolution of Forces Into a Force and a Couple	25	(1)
Reduction of Forces	26	(4)
Equilibrium of Rigid Bodies	30	(6)
Introduction	30	(1)
Reactions at Supports and Connections	31	(2)
Equilibrium Conditions	33	(2)
Special Cases in Equilibrium	35	(1)
Centroids and Center of Gravity	36	(8)
Center of Gravity	36	(1)
Centroids	37	(1)
Composite Bodies	38	(2)
Centroids by Integration	40	(2)
Theorems of Pappus-Guldinus	42	(1)
Distributed Loads on Beams	43	(1)
Analysis of Structures	44	(5)
Introduction	44	(1)
Method of Joints	45	(1)
Special Loading Conditions	45	(1)
Space Trusses	46	(1)
Method of Sections	47	(1)
Multiforce Structures	47	(1)
Analysis of a Frame	48	(1)
Machines	48	(1)
Beams and Cables	49	(7)
Types of Loading and Supports	49	(1)
Shear and Bending Moments	50	(1)
Analytical Relationships	51	(1)
Cables---Concentrated Loads	52	(1)
Cables---Distributed Loads	53	(2)
Parabolic Cables	55	(1)
Friction	56	(8)
Dry Friction	56	(1)
Angles of Friction	57	(1)
Wedges	58	(1)
Square-Threaded Screws	59	(1)
Axle Friction	60	(1)
Disk Friction	61	(1)
Rolling Resistance	62	(1)
Belt Friction	63	(1)
Moment of Inertia	64	(14)
Integration Method	64	(2)
Polar Moment of Inertia	66	(1)
Radius of Gyration	67	(1)
Perpendicular-Axis Theorem	67	(1)
Parallel-Axis Theorem	68	(1)
Composite Areas and Bodies	69	(1)
Product of Inertia	70	(2)
Principal Axes and Inertias	72	(2)
Mohr's Circle	74	(2)
Thin Plates	76	(2)
Method of Virtual Work	78	(7)
Work of a Force	78	(1)
Principle of Virtual Work	79	(1)
Mechanical Efficiency	80	(1)
Finite Displacements	80	(2)
Potential Energy	82	(1)
Stability	83	(2)
Kinematics of Particles	85	(15)
Basic Definitions	85	(2)
Motion of a Particle	87	(2)
Uniform Motion	89	(1)
Relative Motion	89	(1)
Graphical Solutions	90	(3)
Tangential and Normal Components	93	(2)
Radial and Transverse Components	95	(4)
Angular Velocity	99	(1)
Kinetics of Particles	100	(18)
Linear Momentum	100	(1)
Equations of Motion	101	(1)
Dynamic Equilibrium	101	(1)
Velocity-Dependent Force	102	(3)
Angular Momentum	105	(1)
Central Force Fields	106	(2)
Space Mechanics	108	(4)
Kepler's Laws	112	(1)
Inverse-Square Repulsive Fields	113	(2)
Nearly Circular Orbits	115	(3)
Energy and Momentum Methods - Particles	118	(29)
Work of a Force	118	(2)
Work-Energy Principle	120	(1)
Power and Efficiency	121	(1)
Conservative Forces	122	(1)
Potential Energy	123	(2)
Gravitational Potential	125	(2)
Conservation of Energy	127	(2)
Application to Space Mechanics	129	(3)
Impulse and Momentum	132	(1)
Impulse Motion	133	(1)
Impact	134	(5)
Methods of Solution	139	(1)
Motion of a Projectile	140	(3)
Motion of a Charged Particle	143	(2)
Constrained Motion of a Particle	145	(2)
Systems of Particles	147	(10)
Systems of Forces	147	(1)
Linear and Angular Momentum	147	(1)
Motion of the Mass Center	148	(1)
Angular Momentum About the Mass Center	149	(2)
Conservation of Momentum	151	(1)
Kinetic Energy	151	(1)
Conservation of Energy	152	(1)
Impulse and Momentum	152	(1)
Continuous System	153	(2)
Variable Mass Systems	155	(2)
Kinematics of Rigid Bodies	157	(13)
Introduction	157	(1)
Translation	157	(1)
Rotation	158	(3)
Absolute and Relative Velocity	161	(1)
Instantaneous Center of Rotation	162	(2)
Absolute and Relative Acceleration	164	(1)
Inertial Forces	165	(1)
Non-Inertial References System	165	(4)
Motion About a Fixed Point	169	(1)
Plane Motion of Rigid Bodies	170	(11)
Introduction	170	(1)
Center of Mass	170	(3)
Static Equilibrium	173	(1)
Equations of Motion	173	(1)
Angular Momentum	174	(3)
D'Alembert's Principle	177	(1)
Systems of Rigid Bodies	178	(1)
Constrained Motion	178	(3)
Energy and Momentum Methods - Rigid Bodies	181	(7)
Principle of Work and Energy	181	(2)
Kinetic Energy in Plane Motion	183	(1)
Conservation of Energy	184	(1)
Power	184	(1)
Impulse and Momentum	185	(1)
Conservation of Angular Momentum	186	(1)
Eccentric Impact	186	(2)
Spatial Dynamics	188	(24)
Angular Momentum	188	(4)
Principle Axes	192	(1)
Momental Ellipsoid	193	(2)
Impulse and Momentum	195	(1)
Kinetic Energy	196	(1)
Rigid Body Motion	197	(1)
Euler's Equations of Motion	198	(1)
Motion About a Fixed Point	199	(1)
Motion About a Fixed Axis	199	(1)
Earth's Rotational Effects	200	(4)
Motion of a Gyroscope	204	(3)
Steady Precession	207	(3)
Torque-Free Motion	210	(2)
Lagrangian Mechanics	212	(10)
Generalized Coordinates and Forces	212	(2)
Lagrange's Equation	214	(3)
Generalized Momentum	217	(1)
Impulsive Forces	217	(1)
Hamilton's Variation Principle	218	(1)
Hamilton's Equations	219	(1)
Lagrange's Equations with Constraints	220	(2)
Mechanical Vibrations	222
Introduction	222
Simple Harmonic Motion	223
General Harmonic Oscillator	224
Simple Pendulum	226
The Spherical Pendulum	228
The Torsion Pendulum	231
The Physical Pendulum	232
Free Vibration	234
Conservation of Energy	236
Forced Vibration	236
Damped Free Vibration	239
Damped Forced Vibration	241
Stability	242
Potential Energy Function	243
Oscillation with a Single Degree of Freedom	244
General Theory of Vibrating Systems	245
Normal Coordinates	248
Vibration of a Loaded String	250
Waves	252