Engineering Mechanics 2 | springerprofessional.de

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2011 | Buch

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Engineering Mechanics 2

Mechanics of Materials

verfasst von: Dietmar Gross, Werner Hauger, Jörg Schröder, Wolfgang Wall, Javier Bonet

Verlag: Springer Berlin Heidelberg

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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Über dieses Buch

Mechanics of Materials is the second volume of a three-volume textbook on Engineering Mechanics. It was written with the intention of presenting to engineering students the basic concepts and principles of mechanics in as simple a form as the subject allows. A second objective of this book is to guide the students in their efforts to solve problems in mechanics in a systematic manner. The simple approach to the theory of mechanics allows for the different educational backgrounds of the students. Another aim of this book is to provide engineering students as well as practising engineers with a basis to help them bridge the gaps between undergraduate studies, advanced courses on mechanics and practical engineering problems. The book contains numerous examples and their solutions. Emphasis is placed upon student participation in solving the problems. The contents of the book correspond to the topics normally covered in courses on basic engineering mechanics at universities and colleges. Volume 1 deals with Statics; Volume 3 contains Particle Dynamics and Rigid Body Dynamics.

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Inhaltsverzeichnis

Frontmatter

Chapter 1. Tension and Compression in Bars

Abstract

In this textbook about the Mechanics of Materials we investigate the stressing and the deformations of elastic structures subject to applied loads. In the first chapter we will restrict ourselves to the simplest structural members, namely, bars under tension or compression.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 2. Stress

Abstract

In Chapter 1 the notion of stress in a bar has been introduced. We will now generalize the concept of stress to make it applicable to arbitrary structures. For this purpose the stress tensor is introduced. Subsequently we will discuss in detail the plane stress state that appears in thin sheets or plates under in-plane loading. This state is fully determined by stress components in two sections perpendicular to each other. We will see that the normal stress and the shear stress take on extreme values for specific directions of the section.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 3. Strain, Hooke’s Law

Abstract

In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes. In addition, we will extend the already known Hooke’s law from the uniaxial case to the two and three-dimensional cases. Finally, we will discuss the so-called strength hypotheses in order to assess the exertion of the material under multiaxial stress. The students shall learn how to calculate the stresses from the strains or displacements and vice versa.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 4. Bending of Beams

Abstract

In this chapter the bending of beams is investigated. We will derive the equations which enable us to determine the stresses and the deformations during bending. The theory also makes it possible to analyse statically indeterminate systems. The students will learn how to apply the equations to specific problems.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 5. Torsion

Abstract

In this chapter we investigate shafts that are twisted by external torques. As in the previous chapters, we calculate the deformations and stresses that are caused by the loading. For simplicity, we restrict ourselves to shafts with circular cross sections and to thin-walled shafts. By reading this chapter students will become familiar with the basic equations of torsion. They will also learn how to apply the theory to solve statically determinate and indeterminate problems.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 6. Energy Methods

Abstract

It is often convenient to determine displacements/rotations or forces/moments with the aid of energy methods. The pertinent equations are presented in this chapter. For example, it will be shown how the displacement of an arbitrary point of a structure can be calculated using energy methods. These methods also enable us to calculate redundant support reactions of statically indeterminate systems in a simple way. The students will learn how to apply these methods to specific problems.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Chapter 7. Buckling of Bars

Abstract

In this chapter we analyse the stability of equilibrium positions of bars under compressive loads. Methods are presented which will enable us to determine the so-called critical load under which a bar deflects due to buckling. The aim is to enable students to apply the appropriate methods in order to determine critical loads.

Dietmar Gross, Jörg Schröder, Javier Bonet, Werner Hauger, Wolfgang A. Wall

Backmatter

Titel: Engineering Mechanics 2
verfasst von: Dietmar Gross
Werner Hauger
Jörg Schröder
Wolfgang Wall
Javier Bonet
Copyright-Jahr: 2011
Verlag: Springer Berlin Heidelberg
Electronic ISBN: 978-3-642-12886-8
Print ISBN: 978-3-642-12885-1
DOI: https://doi.org/10.1007/978-3-642-12886-8

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