Engineering Statics with MATLAB

Cover
Half Title
Series Page
Title Page
Copyright Page
Contents
Preface
1. Introduction to Statics and the Concept of Force
	1.1 About This Book
	1.2 Quantities and Units
	1.3 Numerical Calculations
	1.4 Forces and Vectors
	1.5 Scalars, Vectors, and Matrices
	1.6 Unit Vectors and Cartesian (Rectangular) Components
	1.7 Oblique Components
	1.8 The Dot Product and Direction Cosines
		1.8.1 The Dot Product
		1.8.2 Direction Cosines
	1.9 Position Vectors
	1.10 Problems
		1.10.1 Review Problems
2. Moments and Couples
	2.1 Moment of a Force about a Point
		2.1.1 The Vector Cross Product
	2.2 Couples
	2.3 Moment of a Force about a Line
	2.4 Problems
		2.4.1 Review Problems
3. Equivalent Systems and Resultants
	3.1 Resultants of Two-Dimensional Force Systems
	3.2 Resultants of Three-Dimensional Force Systems
	3.3 Reduction to a Wrench
	3.4 Resultants and the Center of Gravity
	3.5 Resultants of Distributed Forces
	3.6 Problems
		3.6.1 Review Problems
4. Equilibrium
	4.1 Free Body Diagrams
	4.2 Reaction Forces at Supports
	4.3 Solving Equilibrium Problems - I
	4.4 Alternate Systems of Equilibrium Equations
	4.5 Problems
		4.5.1 Review Problems
5. Trusses
	5.1 The Method of Pins
		5.1.1 Summary
	5.2 Zero-Force Members
	5.3 The Method of Sections
	5.4 Space Trusses
	5.5 Problems
		5.5.1 Review Problems
6. Frames and Machines
	6.1 Solving Equilibrium Problems - II
	6.2 Problems
		6.2.1 Review Problems
7. Centroids
	7.1 Centroids of Volumes, Areas, and Lines
		7.1.1 Integration with Strips
	7.2 Composite Areas
	7.3 Distributed Line Loads
	7.4 Problems
		7.4.1 Review Problems
	7.5 Tables of Centroids
8. Beams
	8.1 Internal Forces and Moments
	8.2 Singularity Functions
	8.3 Problems
		8.3.1 Review Problems
9. Frictional Forces
	9.1 Slipping and Tipping
	9.2 Flat Belts or Ropes in Contact with Rough Surfaces
	9.3 Wedges
	9.4 Problems
		9.4.1 Review Problems
10. Statically Indeterminate Structures
	10.1 Solving a Statically Indeterminate Problem
	10.2 A Matrix-Vector Force-Based Method
	10.3 Steps in the Force-Based Method
	10.4 Examples of the Force-Based Method
	10.5 Problems
		10.5.1 Review Problems
11. Area Moments and Mass Moments of Inertia
	11.1 Area Moments
	11.2 Polar Area Moment and the Radius of Gyration
		11.2.1 Polar Area Moment
		11.2.2 Radius of Gyration
	11.3 Composite Areas
	11.4 Rotation of Coordinates
	11.5 Principal Area Moments and Principal Axes
	11.6 Area Moment Matrices
	11.7 Mass Moments of Inertia
		11.7.1 Parallel Axis Theorem
		11.7.2 Radius of Gyration
	11.8 Problems
		11.8.1 Review Problems
	11.9 Tables of Mass Moments of Inertia and Area Moments
Appendices
	A MATLAB® Overview
	A.1 Constants, Operations, and Built-in Functions
	A.2 Vectors
	A.3 Matrices
	A.4 Solutions of Simultaneous Linear Equations
		A.4.1 Numerical Solution
		A.4.2 Symbolic Solution in Terms of Numerical Variables
		A.4.3 Symbolic Solution in Terms of Symbolic Variables
	A.5 Element-by-Element Operations, Plotting, and Logical Vectors
		A.5.1 Element-by-Element Operations
		A.5.2 Plotting
		A.5.3 Logical Vectors
		A.5.4 Constants eps and inf
	A.6 Functions and Scripts
	A.7 Anonymous Functions
	A.8 Symbolic Calculations
		A.8.1 Symbolic Integration
		A.8.2 Symbolic Differentiation
		A.8.3 Substitution
	B MATLAB® Files
Problem Answers
Index