Georgia Tech - Mechanics of Materials I: Fundamentals of Stress & Strain and Axial Loading 

Course Introduction

Course Syllabus

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Module 1: General Analysis Approach

Module 2: Internal Forces due to External Loads

Module 3: Normal Stress/Shear Stress

Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading

Module 5: General State of Stress at a Point (3D)

Module 6: Two-Dimensional (2D) or Plane Stress

Module 7: Nominal (Engineering) Stress and True Stress

Module 8: Normal Strain

Download Pdf Format Module 1: General Analysis Approach

Download Pdf Format Module 2: Internal Forces due to External Loads

Download Pdf Format: Module 3: Normal Stress/Shear Stress

Module 3 Worksheet Solution

Download Pdf Format Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading

Module 4 Worksheet Solution

Download Pdf Format Module 5: General State of Stress at a Point (3D)

Download Pdf Format Module 6: Two-Dimensional (2D) or Plane Stress

Download Pdf Format Module 7: Nominal (Engineering) Stress and True Stress

Module 7 Worksheet Solution

Download Pdf Format Module 8: Normal Strain

Module 8 Worksheet Solution

Solution to Quiz Week One

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Quiz on Stress and Strain Fundamentals

Module 9: Tension Test and Stress-Strain Diagram

Module 10: Internal Properties and Hooke?s Law

Module 11: 0.2% Offset Yield Stress

Module 12: Strain Hardening/Permanent Set

Module 13: Poisson?s Ratio

Module 14:Shear Stress/2D Pure Shear

Module 15: Shear Strain

Download Pdf Format Module 9: Tension Test and Stress-Strain Diagram

Download Pdf Format Module 10: Internal Properties and Hooke?s Law

Module 10 Worksheet Solution

Download Pdf Format Module 11: 0.2% Offset Yield Stress

Module 11 Worksheet Solution

Download Pdf Format Module 12: Strain Hardening/Permanent Set

Download Pdf Format Module 13: Poisson?s Ratio

Module 13 Worksheet Solution

Download Pdf Format Module 14:Shear Stress/2D Pure Shear

Download Pdf Format Module 15: Shear Strain

Solution to Quiz Week Two

Quiz on Stress-Strain Diagrams, Material Properties, and Shear Stress and Strain

Module 16:Stresses on Inclined Planes ? Sign Convention

Module 17: Transformation Equations for Plane Stress

Module 18: Principal Stresses/Principal Planes

Module 19: Principal Stresses/Principal Planes (cont.)

Module 20: Maximum and Minimum In-Plane Principal Stresses

Module 21: Maximum In-Plane Shear Stress

Module 22: Introduction to Mohr?s Circle

Module 23: Mohr?s Circle for Plane Stress

Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr?s Circle

Module 25: Stresses on any given plane using Mohr?s Circle

Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem

Download Pdf Format Module 16:Stresses on Inclined Planes ? Sign Convention

Download Pdf Format Module 17: Transformation Equations for Plane Stress

Module 17 Worksheet Solution

Download Pdf Format Module 18: Principal Stresses/Principal Planes

Download Pdf Format Module 19: Principal Stresses/Principal Planes (cont.)

Download Pdf Format Module 20: Maximum and Minimum In-Plane Principal Stresses

Download Pdf Format Module 21: Maximum In-Plane Shear Stress

Module 21 Worksheet Solution

Download Pdf Format Module 22: Introduction to Mohr?s Circle

Download Pdf Format Module 23: Mohr?s Circle for Plane Stress

Download Pdf Format Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr?s Circle

Download Pdf Format Module 25: Stresses on any given plane using Mohr?s Circle

Download Pdf Format Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem

Solution to Quiz Week Three

Quiz on Stresses on Inclined Planes

Module 27: Stress Concentration Factors/Saint-Venant?s Principle

Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors

Module 29: Two-Dimensional (2D) or Plane Strain

Module 30: Transformation Equations for Plane Strain

Module 31: Transformation Equations for Plane Strain (cont.)

Module 32: Mohr?s Circle for Plane Strain

Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr?s Circle

Module 34: Strains on any given plane using Mohr?s Circle

Module 35: Find Strains using Experimental Analysis Techniques

Module 36: Find In-Plane Strains using Strain Gage Measurements

Module 37: Find Principal Strains, Maximum Shear Strain, and Principal

Download Pdf Format Module 27: Stress Concentration Factors/Saint-Venant?s Principle

Download Pdf Format Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors

Download Pdf Format Module 29: Two-Dimensional (2D) or Plane Strain

Download Pdf Format Module 30: Transformation Equations for Plane Strain

Download Pdf Format Module 31: Transformation Equations for Plane Strain (cont.)

Download Pdf Format Module 32: Mohr?s Circle for Plane Strain

Download Pdf Format Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr?s Circle

Download Pdf Format Module 34: Strains on any given plane using Mohr?s Circle

Download Pdf Format Module 35: Find Strains using Experimental Analysis Techniques

Download Pdf Format Module 36: Find In-Plane Strains using Strain Gage Measurements

Download Pdf Format Module 37: Find Principal Strains, Maximum Shear Strain, and Principal

Solution to Quiz Week Four

Quiz on Stress concentrations, Mohr?s Circle for Plane Strain, and measuring strains

Module 38: Generalized Hooke?s Laws for Isotropic Materials

Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson?s Ratio relationship for Isotropic Materials

Module 40: Factor of Safety

Module 41: Design to meet specified Factor of Safety

Module 42: Idealized Elastoplastic Material Assumption

Module 43: Solve a Statically Indeterminate Structure under Axial Loading

Module 44: Temperature Effects on Engineering Materials

Module 45: Solve an Engineering Problem with Thermal Effects

Module 46: Course Conclusion

Download Pdf Format Module 38: Generalized Hooke?s Laws for Isotropic Materials

Download Pdf Format Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson?s Ratio relationship for Isotropic Materials

Download Pdf Format Module 40: Factor of Safety

Download Pdf Format Module 41: Design to meet specified Factor of Safety

Module 41 Worksheet Solution

Download Pdf Format Module 42: Idealized Elastoplastic Material Assumption

Download Pdf Format Module 43: Solve a Statically Indeterminate Structure under Axial Loading

Download Pdf Format Module 44: Temperature Effects on Engineering Materials

Dowload Pdf Format Module 45: Solve an Engineering Problem with Thermal Effects

Solution to Quiz Week five

Download Pdf Format Module 46: Course Conclusion

Where to go from here

Quiz on Generalized Hooke?s Laws, Factor of Safety, Non-linear behavior and Plasticity, Statically Indeterminate Structures, and Thermal Effects