Fundamentals of Mechanics of Materials (English Edition)
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The present book titled “Fundamentals of Mechanics of Materials” was made for readers who have complaints with thick textbooks comprising of many wonderful artistic figures. In those conventional textbooks, a lot of answers to questions are omitted and definitions that cannot be understood are shown without explanation. Learners of those conventional textbooks of mechanics of materials have better read the present book of "Fundamentals of Mechanics of Materials". The targets of the book are as follows;
Chapter 1,2 and 3: “Stress, Strain, Torsion”
Stress, strain, thermal stress, allowable stress distributed stress and torsion are dealt with. At first, easy-understandable explanation about internal force is shown. The concepts of stress and strain are explained in detail. In torsion problems of transmission shafts, points that are easy to make mistakes are carefully explained.
Chapter 4 and 5: “Bending of beam”
Bending moment, shear force, bending stress and deflection curve of a beam are dealt with. The definitions of shearing force and bending moment are described in detail with the definitions of coordinate axes. The definitions are consistent with a rigid body dynamics. Contradictions of the definitions found in many textbooks are also described. The readers will find the reason of the contradicted definitions.
Chapter 6 and 7: “Combined loading and strain energy method”
Multiaxial loading, Mohr’s stress circle, combined loading, thin-walled pressure vessel and strain energy method are dealt with. In almost all textbooks, how to use Mohr’s stress circle is just described without the reason. The present book shows the novel explanation about why we have to define the shearing stress axis downward (or rotation angle in clockwise) in Mohr’s stress circle using vectors and linear transformations. This explanation is really original and I believe the learners of mechanics of materials should read this part at least.
The author has taught the mechanics of materials for decades and knows problems that are easy to make mistakes in the final exam. These points are explained in detail in the examples.
In order to read the present book, the readers should know simple calculus, differential equations, vectors and linear algebra. The required knowledge is, however, limited to the items learned by the first grader of the university. The present books are self-teaching reference books rather than university textbooks. I hope you understand the essence of material mechanics using the present book without being deceived by really beautiful but expensive textbooks.
Author: Professor Akira Todoroki
Tokyo Institute of Technology
Department of Mechanical engineering
Chapter 1,2 and 3: “Stress, Strain, Torsion”
Stress, strain, thermal stress, allowable stress distributed stress and torsion are dealt with. At first, easy-understandable explanation about internal force is shown. The concepts of stress and strain are explained in detail. In torsion problems of transmission shafts, points that are easy to make mistakes are carefully explained.
Chapter 4 and 5: “Bending of beam”
Bending moment, shear force, bending stress and deflection curve of a beam are dealt with. The definitions of shearing force and bending moment are described in detail with the definitions of coordinate axes. The definitions are consistent with a rigid body dynamics. Contradictions of the definitions found in many textbooks are also described. The readers will find the reason of the contradicted definitions.
Chapter 6 and 7: “Combined loading and strain energy method”
Multiaxial loading, Mohr’s stress circle, combined loading, thin-walled pressure vessel and strain energy method are dealt with. In almost all textbooks, how to use Mohr’s stress circle is just described without the reason. The present book shows the novel explanation about why we have to define the shearing stress axis downward (or rotation angle in clockwise) in Mohr’s stress circle using vectors and linear transformations. This explanation is really original and I believe the learners of mechanics of materials should read this part at least.
The author has taught the mechanics of materials for decades and knows problems that are easy to make mistakes in the final exam. These points are explained in detail in the examples.
In order to read the present book, the readers should know simple calculus, differential equations, vectors and linear algebra. The required knowledge is, however, limited to the items learned by the first grader of the university. The present books are self-teaching reference books rather than university textbooks. I hope you understand the essence of material mechanics using the present book without being deceived by really beautiful but expensive textbooks.
Author: Professor Akira Todoroki
Tokyo Institute of Technology
Department of Mechanical engineering