اخوانى فى الله احضرت لكم اليوم كتاب
Principles of
Engineering
Mechanics
Second Edition
Contents
Preface, vii
1 Co-ordinate systems and position vectors, 1
Introduction. Co-ordinate systems. Vector representation.
Discussion examples. Problems.
2 Kinematics of a particle in plane motion, 8
Displacement, velocity and acceleration of a
particle. Cartesian co-ordinates. Path COordinates.
Polar co-ordinates. Relative motion.
One-dimensional motion. Graphical methods.
Discussion examples. Problems.
3 Kinetics of a particle in plane motion, 21
Introduction. Newton’s laws of motion. Units.
Types of force. Gravitation. Frames of reference.
Systems of particles. Centre of mass. Free-body
diagrams. Simple harmonic motion. Impulse and
momentum. Work and kinetic energy. Power.
Discussion examples. Problems.
4 Force systems and equilibrium, 37
Addition of forces. Moment of a force. Vector
product of two vectors. Moments of components
of a force. Couple. Distributed forces. Equivalent
force system in three dimensions. Equilibrium.
Co-planar force system. Equilibrium in three
dimensions. Triple scalar product. Internal
forces. Fluid statics. Buoyancy. Stability of
floating bodies. Discussion examples. Problems.
5 Kinematics of a rigid body in plane motion, 54
Introduction. Types of motion. Relative motion
between two points on a rigid body. Velocity
diagrams. Instantaneous centre of rotation.
Velocity image. Acceleration diagrams. Acceleration
image. Simple spur gears. Epicyclic
motion. Compound epicyclic gears. Discussion
examples. Problems.
6 Kinetics of a rigid body in plane motion, 75
General plane motion. Rotation about a fixed
axis. Moment of inertia of a body about an axis.
Application. Discussion examples. Problems.
7 Energy, 90
Introduction. Work and energy for system of
particles. Kinetic energy of a rigid body. Potential
energy. Non-conservative systems. The general
energy principle. Summary of the energy method.
The power equation. Virtual work. D’Alembert’s
principle. Discussion examples. Problems.
8 Momentum and impulse, 11 1
Linear momentum. Moment of momentum.
Conservation of momentum. Impact of rigid
bodies. Deflection of fluid streams. The rocket in
free space. Illustrative example. Equations of
motion for a fixed region of space. Discussion
examples. Problems.
9 Vibration, 126
Section A. One-degree-of-freedom systems
Introduction. Free vibration of undamped systems.
Vibration energy. Pendulums. Levels of
vibration. Damping. Free vibration of a damped
system. Phase-plane method. Response to simple
input forces. Periodic excitation. Work done by a
sinusoidal force. Response to a sinusoidal force.
Moving foundation. Rotating out-of-balance
masses. Transmissibility. Resonance. Estimation
of damping from width of peak.
Section B. Two-degree-of-freedom systems
Free vibration. Coupling of co-ordinates. Normal
modes. Principle of orthogonality. Forced vibration.
Discussion examples. Problems.
10 Introduction to automatic control, 157
Introduction. Position-control system. Blockdiagram
notation. System response. System
errors. Stability of control systems. Frequency
response methods. Discussion examples. Problems.
vi Contents
11 Dynamics of a body in three-dimensional
Introduction. Finite rotation. Angular velocity.
Differentiation of a vector when expressed in
terms of a moving set of axes. Dynamics of a
particle in three-dimensional motion. Motion
relative to translating axes. Motion relative to
rotating axes. Kinematics of mechanisms. Kinetics
of a rigid body. Moment of force and rate of
change of moment of momentum. Rotation about
a fixed axis. Euler’s angles. Rotation about a fixed
point of a body with an axis of symmetry. Kinetic
energy of a rigid body. Discussion examples.
Problems.
motion, 183
12 Introduction to continuum mechanics, 215
Section A. One-dimensionul continuum
Introduction. Density. One-dimensional continuum.
Elementary strain. Particle velocity.
Ideal continuum. Simple tension. Equation of
motion for a one-dimensional solid. General
solution of the wave equation. The control
volume. Continuity. Equation of motion for a
fluid. Streamlines. Continuity for an elemental
volume. Euler’s equation for fluid flow. Bernoulli’s
equation.
Section B. Two- and three-dimensional continua
Introduction. Poisson’s ratio. Pure shear. Plane
strain. Plane stress. Rotation of reference axes.
Principal strain. Principal stress. The elastic
constants. Strain energy.
Section C. Applications to bars and beams
Introduction. Compound column. Torsion of
circular cross-section shafts. Shear force and
bending moment in beams. Stress and strain
distribution within the beam. Deflection of
beams. Area moment method. Discussion examples.
Problems.
Appendices
1 Vector algebra, 247
2 Units, 249
3 Approximate integration, 251
4 Conservative forces and potential energy, 252
5 Properties of plane areas and rigid bodies, 254
6 Summary of important relationships, 257
7 Matrix methods, 260
8 Properties of structural materials, 264
Answers to problems, 266
Index,
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