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XuetangX

Mechanics of Materials

Colorado State University via XuetangX

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Overview






Mechanics of Materials is a basic technical course for engineering major in colleges and universities, and it is a bridge to the basic and professional courses. Mechanics of Materials is a necessary knowledge for civil engineering, mechanical engineering, road and bridge engineering, aerospace engineering, material engineering and other disciplines. The aim of this course is to provide students with the basic concepts and essential knowledge of the strength, stiffness, and stability of the components in the engineering structure. And to cultivate students' ability to analyze and calculate mechanics in engineering design and to solve practical problems in engineering. The course provides the necessary theoretical basis for students to further study basic and professional courses in other subjects

The main contents of Mechanics of Material including: basic deformation of member, stress state analysis, strength theory, combined deformation, stability of compressive column, energy method, Statically indeterminate problems, dynamic load and alternating stress, etc.




Syllabus

  • 01 Introduction
    • 1.1 The Tasks of Mechanics of Materials
    • 1.2 Basic Concepts and Contents of Mechanics of Material
  • 02 Axial tension compression and shear
    • 2.1 Internal Forces and Stresses of Axial Tension
    • 2.2 Mechanical Properties of Materials in Tension
    • 2.3 Mechanical Properties of Materials in Compression and Strength Condition
    • 2.4 Deformation of Axial Tension and Compression
    • 2.5 Statically Indeterminate Problems of Shear and Bearing
    • 2.6 Shearing
  • 03 Torsion
    • 3.1 Internal force of the Circular Shaft in Torsion
    • 3.2 Stresses of the Circular Shaft in Torsion
    • 3.3 Strength Condition and Stiffness Condition of the Circular Shaft in Torsion
  • 04 Geometric properties of the section
    • 4.1 Geometric Properties of The section 1
    • 4.2 Geometric Properties of The section 2
  • 05 Internal force in Bending
    • 5.1 Internal Force in Bending
    • 5.2 Shear Force and Bending Moment Diagrams 1
    • 5.3 Shear Force and Bending Moment Diagrams 2
    • 5.4 Internal Force Diagrams of Continuous beam, Plane rigid Frame and Bending bar
  • 06 Stress in bending
    • 6.1 Normal Stress in Bending
    • 6.2 Shear Stress in Bending
    • 6.3 Strength Conditions of Beam in Bending
  • 07 Deformation of Beam
    • 7.1 Deformation of Beam and Approximately Differential Equation of the Deflection Curve
    • 7.2 Deflection by Integration
    • 7.3 Deformation of Beam by Superposition Method
    • 7.4 Simple Statically Indeterminate Beams
  • 08 Stress state analysis and strength theory
    • 8.1 Introduction of Stress State
    • 8.2 Plane Stress State Analysis - Analytical Method
    • 8.3 Analysis of Plane Stress—Mohr’s Circle
    • 8.4 Triaxial Stress State
    • 8.5 Generalized Hooke’s Law
    • 8.6 Strain Energy Density in Triaxial Stress State
    • 8.7 Strength Theories
  • 09 Combined Deformation
    • 9.1 Introduction of Combined Deformation
    • 9.2 Skew Bending
    • 9.3 Combination of Axial Loading and Bending
    • 9.4 Eccentric Compression or Tension · Core of Section
    • 9.5 Combined Deformation of Torsion and Bending
  • 10 Stability of Compressive Columns
    • 10.1 Introduction to Stability of Compressive Columns
    • 10.2 Euler’s Formula of the Critical Pressure of Slender Compressive Columns
    • 10.3 Application Range of Euler’s Formula · Empirical Formula
    • 10.4 Stability Check of Compressed columns
    • 10.5 Methods to Improve the Stability of Compressive Column
  • 11 Energy Method
    • 11.1 Work Done by External Forces and Strain Energy
    • 11.2 Complementary Energy Theorem
    • 11.3 Castigliano’s Second Theorem
    • 11.4 Principle of Virtual Work
    • 11.5 Dummy-load method
    • 11.6 Mohr Integral
    • 11.7 Reciprocal theorem
  • 12 Statically Indeterminate problems
    • 12.1 Introduction of Statically Indeterminate Structures
    • 12.2 The Application of Castigliano’s Second Theorem in Solving Statically Indeterminate Problem
    • 12.3 The Application of Mohr's Integral in Solving Statically Indeterminate Problems
    • 12.4 Canonical Equation of the Force Method
    • 12.5 The Application of Symmetric and Antisymmetric Properties
  • 13 Dynamic load
    • 13.1 Introduction of Dynamic Load
    • 13.2 Application of D'Alembert's Principle in Dynamic Load
    • 13.3 Application of Energy Method in Impact Problem
  • 14 Alternative Stress
    • 14.1 Alternative Stress and Fatigue Failure

Taught by

Jing Liu

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