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

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

  1. STRENGTH OF MATERIALS STRENGTH OF MATERIALS 1/10/2013 TRAN MINH TU - University of Civil Engineering, 1 Giai Phong Str. 55, Hai Ba Trung Dist. Hanoi, Vietnam
  2. 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 by appointment 2
  3. Sample reading list: Russell C. Hibbeler, Mechanics of Materials, 6/E (required text) Roy R. Craig, Jr (1996), Mechanics and Materials Bedford, Fowler & Liecht (2003), Statics and Mechanics and Materials Beer & Johnson, Mechanics and Materials James H. Gere, Mechanics and Materials, 6th edition 3 1/10/2013
  4. Strength of Materials This course discusses stress calculation due to loads. Description includes stress-strain concept, tensile test, stress and strain due to axial loading, statically indeterminate case related to axial loading, introduction to plasticity and residual stress, 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, and energy method. 1/10/2013 4
  5. 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 5
  6. CHAPTER 1 Introduction – 1/10/2013 Concept of Stress 6
  7. 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 Superposition 1/10/2013 7
  8. 1.1. 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 8
  9. 1.1. Introduction 1/10/2013 9
  10. 1.1. Introduction 1.1.1. 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, & stability 1/10/2013 10
  11. 1.1. Introduction Mechanics Rigid Body Deformable Body Fluid Mechanics Mechanics Mechanics Static Strength of Materials (Dynamic) Kinetic Kinematic 1/10/2013 11
  12. 1.1. 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 = Ee 1/10/2013 12
  13. 1.1. Introduction 1.1.2. Classification of Structural element 1/10/2013 13
  14. 1.1. Introduction 1/10/2013 14
  15. 1.1. Introduction Classification of Structural elements Structural elements compose a structure and can be classified as by their forms (shapes and dimensions). • Three dimensional body 1/10/2013 15
  16. 1.1. Introduction • Plates and Shells 1/10/2013 16
  17. 1.1. Introduction • Rods, Bars 1/10/2013 17
  18. 1.1. Introduction 1/10/2013 18
  19. 1.1. Introduction 1/10/2013 19
  20. 1.1. Introduction 1.1.3. External loads • Surface forces – Area of contact – Concentrated force – Linear distributed force – Centroid C (or geometric center) • Body force (e.g., weight) 1/10/2013 20
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