Lecture Mechanics of materials (Third edition) - Chapter 8: Principle stresses under a given loading. In chapter 8, you will learn how to determine the stress in a structural member or machine element due to a combination of loads and how to find the corresponding principal stresses and maximum shearing stress. | Third Edition CHAPTER MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University Principle Stresses Under a Given Loading © 2002 The McGraw-Hill Companies, Inc. All rights reserved. Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Principle Stresses Under a Given Loading Introduction Principle Stresses in a Beam Sample Problem Sample Problem Design of a Transmission Shaft Sample Problem Stresses Under Combined Loadings Sample Problem © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-2 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Introduction • In Chaps. 1 and 2, you learned how to determine the normal stress due to centric loads In Chap. 3, you analyzed the distribution of shearing stresses in a circular member due to a twisting couple In Chap. 4, you determined the normal stresses caused by bending couples In Chaps. 5 and 6, you evaluated the shearing stresses due to transverse loads In Chap. 7, you learned how the components of stress are transformed by a rotation of the coordinate axes and how to determine the principal planes, principal stresses, and maximum shearing stress at a point. • In Chapter 8, you will learn how to determine the stress in a structural member or machine element due to a combination of loads and how to find the corresponding principal stresses and maximum shearing stress © 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-3 Third Edition MECHANICS OF MATERIALS Beer • Johnston • DeWolf Principle Stresses in a Beam • Prismatic beam subjected to transverse loading My Mc σm = I I VQ VQ τ xy = − τm = It It σx = − • Principal stresses determined from methods of Chapter 7 • Can the maximum normal stress within the cross-section be larger than σm = © 2002 The McGraw-Hill Companies, Inc. All rights reserved. Mc I 8-4 Third Edition MECHANICS OF MATERIALS Beer • Johnston • .
