Engineering Mechanics

Stresses, Strains, Displacements

verfasst von: Coenraad Hartsuijker, J. W. Welleman

Verlag: Springer Netherlands

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

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Inhaltsverzeichnis

Frontmatter

Chapter 1. Material Behaviour

To calculate the stresses and deformations in structures, we have to know the material behaviour, which can be obtained only by experiments. Through standardised tests, the material properties are laid down in a number of specific quantities. One of these tests is th e tensile test, described in Section 1.1, resulting in a so-called stressstrain diagram. Section 1.2 looks at stress-strain diagrams for a number of materials. This book addresses mainly materials with a linear-elastic behaviour, which obey Hooke’s Law. Sectio n 1.3 devotes attention to the linear behaviour of materials, such as steel, aluminium, concrete and wood.

Chapter 2. Bar Subject to Extension

A bar is a body of which the two cross-sectional dimensions are considerably smaller than the third dimension, the length. A bar is one of the most frequently used types of structural members. To understand something about the behaviour of bar type structures, it is first necessary to understand the behaviour of a single bar. This chapter addresses the case of a bar subject to extension. We talk of extension when the (straigh t) bar rem ains straight after deformation and does not bend.

Chapter 3. Cross-Sectional Properties

Chapter 4. Members Subject to Bending and Extension

The behaviour of members subject to bending and extension is analysed with the help of the fibre model. In Section 4.1, the various assumptions associated with this model are described.

Chapter 5. Shear Forces and Shear Stresses Due to Bending

In the previous chapter, we looked (inter alia) at the nor mal stress distribution in the cross-section of a member subject to extension and bending. The norm al stress distribu tion in a cross-section is directly related to the normal force and the bending moment.

Chapter 6. Bar Subject to Torsion

The previous chapter addressed the shear stress distribution due to a shear force. In this chapter we look at the sh ear stresses caused by torsional moments. We will also look at the deformation due to torsion.

Chapter 7. Deformation of Trusses

In tr usses all members are subject to extension. If the truss is statically determinate, all member forces follow directly from the equilibrium, and the change in length of all members can be determined using Section 2.6. This chapter describes how to determine the joint disp lacements in a truss from the change in length of the members. Here we assume that the deformation of the truss is exclusively the result of the change in length of the members and not of any deformation in the joints. Hence the joints are considered non-deformable. The analysis applies only if the deformations are small, i.e. the change in length of the members must be small with resp ect to the original length of the member. In Section 7.1 we show that this condition is nearly always met in practice. The section continues by assessing the influence of a small member rotation on the joint displacements.

Chapter 8. Deformation Due to Bending

In this chapter we discuss how to determine the deflection due to bending.

Chapter 9. Unsymmetrical and Inhomogeneous Cross-Sections

Backmatter

Titel: Engineering Mechanics
verfasst von: Coenraad Hartsuijker
J. W. Welleman
Verlag: Springer Netherlands
Electronic ISBN: 978-1-4020-5763-2
Print ISBN: 978-1-4020-4123-5
DOI: https://doi.org/10.1007/978-1-4020-5763-2

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