tailieunhanh - Ebook Statics and mechanics of materials: Part 2

(BQ) Part 2 book "Statics and mechanics of materials" has contents: Stress and strain—axial loading, torsion, pure bending, analysis and design of beams for bending, shearing stresses in beams and thin walled members, transformations of stress, deflection of beams, columns. | Page 343 10/16/09 1:26:17 PM user-s173 /Volumes/MHDQ-New/MHDQ152/MHDQ152-09 9 C H A P T E R Stress and Strain—Axial Loading 343 Page 344 10/16/09 Chapter 9 Stress and Strain—Axial Loading 344 Introduction Normal Strain under Axial Loading Stress-Strain Diagram Hooke’s Law. Modulus of Elasticity Elastic versus Plastic Behavior of a Material Repeated Loadings. Fatigue Deformations of Members under Axial Loading Statically Indeterminate Problems Problems Involving Temperature Changes Poisson’s Ratio Multiaxial Loading. Generalized Hooke’s Law Shearing Strain Further Discussion of Deformations under Axial Loading. Relation among E, n, and G Stress and Strain Distribution under Axial Loading. SaintVenant’s Principle Stress Concentrations 1:26:41 PM user-s173 /Volumes/MHDQ-New/MHDQ152/MHDQ152-09 INTRODUCTION In Chap. 8 we analyzed the stresses created in various members and connections by the loads applied to a structure or machine. We also learned to design simple members and connections so that they would not fail under specified loading conditions. Another important aspect of the analysis and design of structures relates to the deformations caused by the loads applied to a structure. Clearly, it is important to avoid deformations so large that they may prevent the structure from fulfilling the purpose for which it was intended. But the analysis of deformations may also help us in the determination of stresses. Indeed, it is not always possible to determine the forces in the members of a structure by applying only the principles of statics. This is because statics is based on the assumption of undeformable, rigid structures. By considering engineering structures as deformable and analyzing the deformations in their various members, it will be possible for us to compute forces that are statically indeterminate, .

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