tailieunhanh - Lecture Mechanics of materials (Third edition) - Chapter 4: Pure bending

The following will be discussed in this chapter: Pure bending, other loading types, symmetric member in pure bending, bending deformations, strain due to bending, beam section properties, properties of american standard shapes, deformations in a trans verse cross section, bending of members made of several materials,. | Third Edition CHAPTER MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Pure Bending Lecture Notes: J. Walt Oler Texas Tech University © 2002 The McGraw-Hill Companies, Inc. All rights reserved. Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Pure Bending Pure Bending Other Loading Types Symmetric Member in Pure Bending Bending Deformations Strain Due to Bending Beam Section Properties Properties of American Standard Shapes Deformations in a Transverse Cross Section Sample Problem Bending of Members Made of Several Materials Example Reinforced Concrete Beams Sample Problem Stress Concentrations Plastic Deformations Members Made of an Elastoplastic Material © 2002 The McGraw-Hill Companies, Inc. All rights reserved. Example Reinforced Concrete Beams Sample Problem Stress Concentrations Plastic Deformations Members Made of an Elastoplastic Material Plastic Deformations of Members With a Single Plane of S. Residual Stresses Example , Eccentric Axial Loading in a Plane of Symmetry Example Sample Problem Unsymmetric Bending Example General Case of Eccentric Axial Loading 4-2 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Pure Bending Pure Bending: Prismatic members subjected to equal and opposite couples acting in the same longitudinal plane © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 4-3 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Other Loading Types • Eccentric Loading: Axial loading which does not pass through section centroid produces internal forces equivalent to an axial force and a couple • Transverse Loading: Concentrated or distributed transverse load produces internal forces equivalent to a shear force and a couple • Principle of Superposition: The normal stress due to pure bending may be combined with the normal stress due to axial loading and shear stress due to shear loading to find the .