This book follows the classical division of engineering mechanics as taught at universities in Germany and is devoted to strength of materials, i.e. the determination of stresses and of deformations in elastic bodies. The aim of this book is to provide students with a clear introduction and to enable them to formulate and solve engineering problems in this field. For this purpose, the book provides a number of examples.
This book is intended for university students of mechanical engineering, civil engineering, mechanics, but also all other courses in which the contents of this book play a role.
The Contents
Introduction to linear elasticity – Plane stress state – Bars – Beams – Beam deflections – Shear stresses in beams – Torsion – Energy methods – Buckling of bars
Author(s): Christian Mittelstedt
Publisher: Springer Vieweg
Year: 2023
Language: English
Pages: 327
City: Berlin
Preface
Contents
1 Introduction to linear elasticity
1.1 Introduction
1.2 State of stress
1.3 Deformation and strain state
1.4 The generalized Hooke's law
2 Plane stress state
2.1 Introduction
2.2 Stress transformation
2.3 Principal stresses
2.4 Mohr's stress circle
3 Bars
3.1 Bars
3.2 Bar systems
4 Beams
4.1 Introduction
4.2 Basic equations for an arbitrary reference frame
4.3 First cross-sectional normalization: Center of gravity C
4.4 Second cross-sectional normalization: Principal axes
5 Beam deflections
5.1 Basic equations of beam bending
5.2 Statically determinate single-span beams
5.3 Statically indeterminate single-span beams
5.4 Multi-span beams
5.5 Standard bending cases
5.6 Biaxial bending
6 Shear stresses in beams
6.1 Introduction
6.2 Thick-walled cross-sections
6.3 Thin-walled cross-sections
6.4 Shear center
7 Torsion
7.1 Introduction
7.2 Solid bar with circular cylindrical cross-section
7.3 Thin-walled bar with circular cylindrical cross-section
7.4 Bars with arbitrary thin-walled cylindrical cross-sections
7.5 Bars with open thin-walled cross-sections
7.6 Determination of internal moments
8 Energy methods
8.1 Work and energy
8.2 Strain energy and complementary strain energy
8.3 Application of the principle of work and energy to the determination of elastic deformations
8.4 The principle of virtual forces
8.5 The force method
8.6 Reciprocity theorems
8.7 Statically indeterminate systems
9 Buckling of bars
9.1 Introduction
9.2 Types of equilibrium
9.3 Determination of critical loads
9.4 Buckling of bars: The four Euler cases
9.5 Buckling length
9.6 General form of the buckling differential equation
Index
