Lecture Strength of Materials I: Chapter 1 - PhD. Tran Minh Tu

Lecture Strength of Materials I - Chapter 1: Introduction – Concept of stress. The following will be discussed in this chapter: Review of static, equilibrium of deformable body, concept of stress, stress under general loadings, strain, types of loading, assumptions, principle superposition.
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Lecture Strength of Materials I: Chapter 1 - PhD. Tran Minh Tu STRENGTH OF MATERIALS STRENGTH OF MATERIALS1/10/2013 TRAN MINH TU - University of Civil Engineering, 1 Giai Phong Str. 55, Hai Ba Trung Dist. Hanoi, Vietnam GENERAL INFORMATION• Ass. Prof. Tran Minh Tu, PhD. Eng.• Mon., Fri.: 12.15 -14.45 A.M. at Room 202 H1• Office: 1. Floor – Lab. Building• E-mail: tpnt2002@yahoo.com• Tel: 04.8691 462 (off.). Handphone: 0912101173• Course notes: • http://www.tranminhtu.com• Ref. : Ferdinand P. Beer, Jr. J. T. DeWolf, D. F.Mazurek. Mechanics of Materials. Mc Graw Hill . 2009• Office hours: Tuesday 8:00-11:00 A.M. or byappointment 2Sample reading list:Russell C. Hibbeler, Mechanics of Materials, 6/E(required text)Roy R. Craig, Jr (1996), Mechanics and MaterialsBedford, Fowler & Liecht (2003), Statics andMechanics and MaterialsBeer & Johnson, Mechanics and MaterialsJames H. Gere, Mechanics and Materials, 6thedition 31/10/2013Strength of MaterialsThis course discusses stress calculation due to loads.Description includes stress-strain concept, tensile test, stressand strain due to axial loading, statically indeterminate caserelated to axial loading, introduction to plasticity and residualstress, stress and strain due to other loads, such as torsion,bending moment, and shear force, Mohr’s circle of stress,failure theory, deflection, statically indeterminate structures, andenergy method.1/10/2013 4 GENERAL INFORMATION Princeton ： Grading: MIT： Grading Mid Term Exam - 20% Homework 25% Design Project - 30% Lab Assignments 30% Take Home Final Exam - Quiz 15% 25% Case Study and Presentation 10% Problem set(s) - 15% Final Exam 20% Other (See Instructor) - 10% Class Attendance* Stanford： Grading Homework Assignments Berkeley: Grading 25% Weekly homework Lab Reports 10% assignments(25%) Two Midterm Midterm 25% Examinations(20%+20%) Final Exam 40% Final examination (35%).1/10/2013 5CHAPTER 1 Introduction – 1/10/2013 Concept of Stress 6 Contents 1.1. Introduction 1.2. Review of Static 1.3. Equilibrium of deformable body 1.4. Concept of Stress 1.5. Stress Under General Loadings 1.6. Strain 1.7. Types of loading 1.8. Assumptions 1.9. Principle Superposition1/10/2013 71.1. Introduction- Consider a diving board as an example of a deformable body - From rigid-body equilibrium, given the weight of the diver, and the lengths L1, L2, we can determine the diving board support reactions at A and B. Questions of the following type can only be answered by employing the principles and procedures of strength of materials 1/10/2013 81.1. Introduction1/10/2013 91.1. Introduction1.1.1. Strength of materials• A branch of mechanics• It studies the relationship of – External loads applied to a deformable body, and – The intensity of internal forces acting within the body• Are used to compute the deformations of a body• Strength of Materials is a field of study that determines strength, stiffness, & stability1/10/2013 101.1. Introduction MechanicsRigid Body Deformable Body Fluid MechanicsMechanics Mechanics Static Strength of Materials (Dynamic) Kinetic Kinematic1/10/2013 111.1. Introduction• Static • Strength of Materials Deformable Body Rigid Body(1) Equilibrium (1) Equilibrium ∑Fx = 0; ∑Fy = 0; ∑Fz = 0; ∑Fx = 0; ∑Fy = 0; ∑Fz = 0; ∑Mx= 0; ∑My= 0; ∑Mz= 0 ∑Mx= 0; ∑My= 0; ∑Mz= 0(2) Kinetic: (2) Stress – Strain relationship: ∑F = ma s = Ee1/10/2013 121.1. Introduction1.1.2. Classification of Structural element1/10/2013 131.1. Introduction1/10/2013 ...