A Mathematica Manual for Engineering Mechanics: Statics - Computational Edition

Daniel Balint

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This supplement is intended to teach the reader how to solve statics problems using Mathematica. It is closely coupled to the accompanying Statics text and works through many of the sample problems for each chapter in detail. While this supplement suggests ways to use Mathematica to enhance your understanding of statics and teach you efficient computational skills, you may browse the Mathematica manual and develop your own methods for solving problems using the software. The manual was created in Mathematica and demonstrates how quality technical documents can be created entirely using the software, The manual consists of 11 chapters. Chapter 1 is a general introduction to mathematcia that concludes with a sample application and can be studied while reading Chapter 1 of the accompanying Statics text. The following 10 chapters present appropriate Mathematica solutions for the sample problems given in the main text. Chapter 1 - Using Mathematica Computational Software Numerical Calculation Working with Functions Symbolic Calculations Solving Algebraic Equations Graphs and Plots Application of Mathematica to a Statics Problem As well as providing solutions to the sample problems from the text, this manual also includes the following topics: Mathematica as a Vector Calculator; Using Mathematica for Other Matrix Calculations; Scalar Dot Product; Vector or Cross Product Between Two Vectors; Parametric Solutions; Solution of Nonlinear Algebraic Equations; Numerical Symbolic Integration; Three-Dimensional Scatter Plots; Discontinuity Functions; Cables; Wedges; Belt Friction; Ratio of Tension vs. the Coefficient of Friction, the Angle of Contact, and the Coefficient of Friction and Contact Angle; Principle Second Moments of Area; Eigenvalue Problems

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Daniel S. Balint received his PhD in Engineering Science from Harvard University in 2003. He is currently a Lecturer on Structural Integrity for the Department of Mechanical Engineering at Imperial College London. He is co-author to 10 textbooks and supplements on the topic of Engineering Mechanics as well as co-author of 14 journal articles. Dr. Balint is a member of The Scientific Research Society, the American Society of Mechanical Engineers, and the Golden Key International Honor Society. During his academic career he received 10 awards including the Harvard University Certificate of Distinction in Teaching - 2001, and the National Defense Science and Engineering Graduate Fellowship - 1998. His areas of research interest include discrete dislocation modeling, size effects in materials, failure in thermal barrier coatings and functionally graded materials, thin film delamination and fracture, multiscale modeling of elastic/plastic fracture, computational techniques in solid mechanics, and orthopedic biomechanics.

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