TAILIEUCHUNG - Ebook Mechanics of materials: Part 2

(BQ) Part 2 book "Mechanics of materials" has contents: Shearing stresses in beams and thin walled members, transformations of stress and strain, principal stresses under a given loading, deflection of beams, columns, energy methods. | bee29389_ch06_371-421 03/16/2008 9:17 am Page 371 pinnacle MHDQ:MH-DUBUQUE:MHDQ031:MHDQ031-06: C H A P Shearing Stresses in Beams and Thin-Walled Members T E 6 A reinforced concrete deck will be attached to each of the steel sections shown to form a composite box girder bridge. In this chapter the shearing stresses will be determined in various types of beams and girders. R bee29389_ch06_371-421 03/16/2008 9:17 am Page 372 pinnacle MHDQ:MH-DUBUQUE:MHDQ031:MHDQ031-06: 372 . INTRODUCTION Shearing Stresses in Beams and Thin-Walled Members You saw in Sec. that a transverse loading applied to a beam will result in normal and shearing stresses in any given transverse section of the beam. The normal stresses are created by the bending couple M in that section and the shearing stresses by the shear V. Since the dominant criterion in the design of a beam for strength is the maximum value of the normal stress in the beam, our analysis was limited in Chap. 5 to the determination of the normal stresses. Shearing stresses, however, can be important, particularly in the design of short, stubby beams, and their analysis will be the subject of the first part of this chapter. y y M xydA xzdA V xdA x x z z Fig. Figure expresses graphically that the elementary normal and shearing forces exerted on a given transverse section of a prismatic beam with a vertical plane of symmetry are equivalent to the bending couple M and the shearing force V. Six equations can be written to express that fact. Three of these equations involve only the normal forces sx dA and have already been discussed in Sec. ; they are Eqs. (), (), and (), which express that the sum of the normal forces is zero and that the sums of their moments about the y and z axes are equal to zero and M, respectively. Three more equations involving the shearing forces txy dA and txz dA can now be written. One of them expresses that the sum of the moments of the shearing .

• Cơ khí - Chế tạo máy
• Shearing stresses
• Transformations of stress
• Principal stresses under a given loading
• Deflection of beams
• Energy methods
• Mechanics of materials
• Cơ học vật liệu
• Lecture Mechanics of materials
• Shearing stresses in beams
• Thinwalled members
• Beam element
• Thin Walled members
• Transformations of stress and strain
• Introduction—concept of stress
• Strain—axial loading
• Pure bending
• Design of beams for bending
• Composite materials
• Mechanics of composite materials
• Mechanics of composite materials with MATLAB
• Effective elastic constants
• Homogenization of composite materials
• Introduction to damage mechanics
• 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
• Symmetric member
• Bending deformations
• Beams for bending
• Bending moment diagrams
• Bending moment
• Transformation of plane stress
• Maximum shearing stress
• Principle stresses
• Transmission shaft
• Stresses under combined loadings
• 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