tailieunhanh - Ebook Mechanics of materials (8th edition): Part 2

(BQ) Containing Hibbeler’s hallmark student-oriented features, this text is in four-color with a photorealistic art program designed to help students visualize difficult concepts. A clear, concise writing style and more examples than any other text further contribute to students’ ability to master the material. | Stress Transformation CHAPTER OBJECTIVES In this chapter we will show how to transform the stress components that are associated with a particular coordinate system into compone nts associated with a coordinate system having a different orientation Once the necessary transformation equations are established we will then be- able to obtain the maximum normal and maximum shear stress at a point and find the orientation of elements upon which they act. Plane-stress transformation will be discussed in the first part of the chapter since this condition IS most common in engineering practice At the end of the chapter we will discuss a method for finding the absolute maximum shear stress at a point when the matenal is subjected to both plane and three-dimensional states of stress. Plane-Stress Transformation It was shown in See I 3 that the general state of stress at a point IS characterized by . independent normal and shear stress components which act on the faces of an element of material located .Il the point. Fig. 9-1 . This state of stress however is not often encountered in engineering practice Instead engineers frequently make approximations or simplifications of the loadings on a body in order that the stress produced in a structural member or mechanical clement can be analyzed in a single plane. When I his is the case the material is said to be subjected Io planesưexx. Fig. 9-1 h. For example if there IS no load on the surface of a body then the normal and shear stress components will be zero on the face of an element that lies on this surface. Consequently the corresponding stress components on the opposite face will also be zero and so the material at the point will be subjected to plane stress This case occurred throughout the previous chapter 438 Chapim 9 Sirfss Tpansfchvaiion Plane MTCS h ÍÌR. 9-1 b Fig. 9-2 The general stale at plane stress .11 a point is therefore represented by a combination of two normal-stress Components ƠJ. at. and one .

• Cơ khí - Chế tạo máy
• Mechanics of materials
• Stress transformation
• Strain transformation
• Design of beams and shafts
• Energy methods
• Composite materials
• Mechanics of composite materials
• Mechanics of composite materials with MATLAB
• Effective elastic constants
• Homogenization of composite materials
• Introduction to damage mechanics
• Cơ học vật liệu
• Lecture Mechanics of materials
• Mechanical properties of materials
• Material impact on deformation
• Rectangular cross section
• Elastic and plastic regions
• Tension test
• Material constants
• Modulus of elasticity
• Logic in structural analysis
• Mechanics materials
• Recycling fiber reinforced composites
• Macromechanical analysis of a lamina
• Fracture mechanics
• mechanics
• racks in materials
• analytical solid mechanics
• modern materials science
• macroscopic mechanical
• Structure free body diagram
• Component free body diagram
• Method of joints
• Axial loading
• Normal strain
• Stress strain test
• Torsional loads
• Axial shear components
• Shaft deformations
• Pure bending
• Symmetric member
• Bending deformations
• Beams for bending
• Bending moment diagrams
• Bending moment
• Shearing stresses in beams
• Thinwalled members
• Beam element
• Transformations of stress
• Transformation of plane stress
• Maximum shearing stress
• Principle stresses
• Transmission shaft
• Stresses under combined loadings
• Deflection of beams
• Elastic curve
• Statically indeterminate beams
• Stability of structures
• Pin ended beams
• Eccentric loading
• Strain energy
• Strain energy density
• Torsion of Shafts
• Internal Torque
• Homogeneous cross section
• Concept of stress
• Stress on a surface
• Tensile stress
• Contructions of stress element
• Stress components
• Concept of strain
• Lagrangian strain
• Eulerian strain
• Preliminary definitions
• Average normal strain
• Average shear strain
• Axial members
• Prelude to theory
• Internal axial force
• Strain distribution
• Material model
• Axial formulas
• Theory for circular shafts
• Torsion formulas
• Circular cross section