TAILIEUCHUNG - Lecture Mechanics of materials (Third edition) - Chapter 5: Analysis and design of beams for bending

Lecture Mechanics of materials (Third edition) - Chapter 5: Analysis and design of beams for bending. The following will be discussed in this chapter: Introduction; shear and bending moment diagrams; relations among load, shear, and bending moment; design of prismatic beams for bending. | Third Edition CHAPTER MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University Analysis and Design of Beams for Bending © 2002 The McGraw-Hill Companies, Inc. All rights reserved. Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Analysis and Design of Beams for Bending Introduction Shear and Bending Moment Diagrams Sample Problem Sample Problem Relations Among Load, Shear, and Bending Moment Sample Problem Sample Problem Design of Prismatic Beams for Bending Sample Problem © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 5-2 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Introduction • Objective - Analysis and design of beams • Beams - structural members supporting loads at various points along the member • Transverse loadings of beams are classified as concentrated loads or distributed loads • Applied loads result in internal forces consisting of a shear force (from the shear stress distribution) and a bending couple (from the normal stress distribution) • Normal stress is often the critical design criteria σx = − My I σm = Mc M = I S Requires determination of the location and magnitude of largest bending moment © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 5-3 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Introduction Classification of Beam Supports © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 5-4 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Shear and Bending Moment Diagrams • Determination of maximum normal and shearing stresses requires identification of maximum internal shear force and bending couple. • Shear force and bending couple at a point are determined by passing a section through the beam and applying an equilibrium analysis on the beam portions on either side of the section. • Sign conventions for shear forces V and V’ and .

• Kiến trúc - Xây dựng
• Mechanics of materials
• Cơ học vật liệu
• Lecture Mechanics of materials
• Beams for bending
• Bending moment diagrams
• Bending moment
• 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
• Pure bending
• Symmetric member
• Bending deformations
• 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
• Energy methods
• 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