Textbook
Applied Engineering AnalysisISBN: 9781119071204
400 pages
April 2018, ©2016

Description
Applied Engineering Analysis
TaiRan Hsu, San Jose State University, USA
A resource book applying mathematics to solve engineering problems
Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls.
Drawing on the author’s extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors.
Key features:

Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.
Table of Contents
Dedication
Inspiration
BCCan introduction of the book
ABOUT THE AUTHOR
PREFACE
SUGGESTION TO INSTRUCTORS
About the companion website
Chapter 1 Overview of Engineering Analysis
Chapter Learning Objectives
1.1 Introduction
1.2 Engineering Analysis and Engineering Practice
1.3 “Tool Box” for Engineering Analysis
1.4 The Four Stages in Engineering Analysis
1.5 Examples on Application of Engineering Analysis in Design
1.6 Safety Factors in Engineering Analysis of Structures
Problems
Chapter 2 Mathematical Modeling
Chapter Learning Objectives
2.1 Introduction
2.2 Terminologies used in Mathematical Modeling
2.3 Applications of Integrals
2.5 Differential Equations
Problems
Chapter 3 Vectors and Vector Calculus
Chapter Learning Objectives
3.1 Vector and Scalar Quantities
3.2 Vectors in Rectangular and Cylindrical Coordinate Systems
3.3 Vectors in 2D Planes and 3D Spaces
3.4 Vector Algebra
3.5 Vector Calculus
3.6 Application of Vector Calculus in Engineering Analysis
3.7 Application of Vector Calculus in Rigid Body Dynamics
Problems
Chapter 4 Linear Algebra and Matrices
Chapter Learning Objectives
4.1 Introduction to Linear Algebra and Matrices
4.2 Determinants and Matrices
4.3 Different Forms of Matrices
4.4 Transposition of Matrices
4.5 Matrix Algebra
4.6 Matrix Inversion
4.7 Solution of Simultaneous Linear Equations
4.8 Eigenvalues and Eigenfunctions
Problems
Chapter 5 Overview of Fourier Series
Chapter Learning Objectives
5.1 Introduction
5.2 Periodic Functions by Fourier Series
5.3 Mathematical Expressions of Fourier Series
5.4 Convergence of Fourier Series
5.5 Convergence of Fourier Series at Discontinuities
Problems
Chapter 6 Introduction to Laplace Transform and Applications
Chapter Learning Objectives
6.1 Introduction
6.2 Mathematical Operator of Laplace Transform
6.3 Properties of Laplace Transform
6.4 Inverse Laplace Transform
6.5 Laplace Transform of Derivatives
6.6 Solution of ODE Using Laplace Transform
6.7 Solution of Partial differential Equations Using Laplace Transform
Problems
Chapter 7 Application of First Order Differential Equations in Engineering Analysis
Chapter Learning Objectives
7.1 Introduction
7.2 Solution Methods for First Order Ordinary Differential Equations
7.3 Applications of First Order Differential Equations in Fluid Mechanics Analysis
7.4 Liquid Flow in Reservoirs, Tanks and Funnels
7.5 Application of First Order Differential Equations in Heat Transfer Analysis
7.6 Rigid Body Dynamics Under the Influence of Gravitation
Problems
Chapter 8 Application of Second Order Differential Equations in Mechanical Vibration Analysis
Chapter Learning Objectives
8.1 Introduction
8.2 Solution Method for Typical Homogeneous, Second Order Linear Differential Equations with Constant Coefficients
8.3 Application in Mechanical Vibration Analyses
8.4 Mathematical Modeling of Free Mechanical VibrationSimple Massspring Systems
8.5 Modeling of Damped Free Mechanical Vibration – Simple massspring systems
8.6 Solution of Nonhomogeneous, Second Order Linear Differential Equations with Constant Coefficients
8.7 Application in Forced Vibration Analysis
8.8 Near Resonant Vibration
8.9 Natural Frequencies of Structures and Modal Analysis
Problems
Chapter 9 Application of Partial Differential Equations in Mechanical Engineering Analysis
Chapter Learning Objectives
9.1 Introduction
9.2 Partial derivatives
9.3 Solution Methods for Partial Differential Equations
9.4 Partial Differential Equations for Heat Conduction in Solids
9.5 Solution of Partial Differential Equations for Transient Heat Conduction Analysis
9.6 Solution of Partial Differential Equations for SteadyState Heat Conduction Analysis
9.7 Partial Differential Equations for Transverse Vibration of Cable Structures
9.8 Partial Differential Equations for Transverse Vibration of Membranes
Problems
Chapter 10 Numerical Solution Methods for Engineering Analysis
Chapter Learning Objectives
10.1 Introduction
10.2 Engineering Analysis with Numerical Solutions
10.3 Solution of Nonlinear Equations
10.4 Numerical Integration Methods
10.5 Numerical Solution Methods for Solving Differential Equations
10.6 Introduction to Numerical Analysis Software Packages
Problems
Chapter 11 Introduction to Finite Element Analysis (61 pages)
Chapter Learning Objectives
11.1 Introduction
11.2 The Principle of Finite Element Analysis
11.3 Steps in the Finite Element Analysis
11.4 Output of Finite Element Analysis
11.5 Elastic Stress Analysis of Solid Structures by Finite Element Method
11.6 General Purpose Finite Element Analysis Codes
Problems
Chapter 12 Statistics for Engineering Analysis
Chapter Learning Objectives
12.1 Introduction
12.2 Statistics in Engineering Practices
12.3 The Scope of Statistics
12.4 Common Terminologies in Statistical Analysis
12.5 Standard Deviation and Variance
12.6 The Normal Distribution Curve and Normal Distribution Function
12.7 Weibull Distribution Function for Probabilistic Engineering Design
12.8 Statistical Quality Control
12.9 Statistical Process Control
12.10 The “Control Charts”
Problems
BIBLIOGRAPHY
Appendices
Appendix 1 Table for Laplace Transform
Appendix 2 Recommended Units for Engineering Analysis
Appendix 3 Conversion of Units
Appendix 4 Application of MATLAB IN Problem solving (contributed by Vaibhav Tank)
INDEX (to be developed by the appointee of the Publisher)
Author Information
TaiRan Hsu is currently a Professor of Mechanical Engineering at San Jose State University (SJSU), San Jose, California, USA. He joined the SJSU as the Chair of the department in 1990 and served two terms until 1998, and also from 2012 to 2015. He served in a similar capacity at the University of Manitoba, Winnipeg, Canada before joining SJSU. Prior to his academic career, he worked as a design engineer with heat exchangers, steam power plant equipment, large steam turbines, and nuclear reactor fuel systems for major industries in Canada and U.S.A.. He has published six books and edited another two on a wide ranging topics on finite element method in thermomechanics, microelectronics packaging, CAD, and MEMS and microsystems design and packaging. Additionally, he published over one hundred technical papers in archive journals and conference proceedings.