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XuetangX

Mechanics of materials

Chang’an University via XuetangX

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Overview

The main content of the course includes the analysis and calculation methods of internal force, stress, deformation of members, strength analysis and design, stiffness analysis and design, and stability analysis and design of compression bars.

Four lecturers from Chang'an University are mainly involved in this online teaching. Professor Zhang Hongyan is responsible for the introduction, Chapter 3，Chapter 4，Chapter 8, Chapter 9 and Appendix. Professor Shi Jing is responsible for Chapter 5 to Chapter 7. Professor He An is responsible for Chapter 2 and Ren Hongru is responsible for Chapter 10. We hope that through the study of this course, students can master the basic knowledge and methods of mechanics, and be more interested in studying mechanics.


Syllabus

  • Chapter 1 Introduction
    • Chapter 2 Tension and Compression
      • 2.1 Internal forces
      • 2.2 Stress
      • 2.3 Strength
      • 2.4 Strain and Hook’s law
      • 2.5 stress analysis of the oblique plane
    • Chapter 3 Mechanical properties of materials
      • Chapter 4 Shear
        • 4.1 Introduction
        • 4.2 Practical calculations
      • Appendix
        • Moments of Areas
        • Second moment
      • Chapter 5 Torsion
        • 5.1 Internal torque
        • 5.2 Discussion of the stresses in a shaft
        • 5.3 Angle of twist in the elastic range
      • Chapter 6 Analysis and design of beams for bending
        • 6.1 Introduction
        • 6.2 Shear force and bending moment
        • 6.3 Relations among Load, Shear force, and Bending moment
      • Chapter 7 Stresses in bending
        • 7.1 Normal Stress On The Cross Section Of The Beam in
        • 7.2 Shearing stresses in beams of rectangular cross section
      • Chapter 8 Deflection of Beams
        • Chapter 9 Transformations of stress and strain
          • 9.1 Introduction
          • 9.2 Transformation of plane stress (a)
          • 9.2 Transformation of plane stress (b)
          • 9.3 Generalized Hooke’s law
          • 9.4 Four strength theories and their equivalent stresses
        • Chapter 10 Stability of columns
          • 10.1 Introduction
          • 10.2 Stability of columns
          • 10.3 Critical stress of compressed columns as stress exceeds the proportional limit
        • Final exam

          Taught by

          Zhang Hongyan, Shi Jing , He An, and Ren Hongru

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