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

About this course: This course explores the topic of solid objects subjected to stress and strain. The methods taught in the course are used to predict the response of engineering structures to various types of loading, and to analyze the vulnerability of these structures to various failure modes. Axial loading with be the focus in this course. ------------------------------ The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. Wayne Whiteman. By participating in the course or using the content or materials, whether in whole or in part, you agree that you may download and use any content and/or material in this course for your own personal, non-commercial use only in a manner consistent with a student of any academic course. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. Interested parties may contact Dr. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license.

Created by:  Georgia Institute of Technology

• Taught by:  Dr. Wayne Whiteman, PE, Senior Academic Professional

  Woodruff School of Mechanical Engineering

Commitment 5 weeks of material; 5 to 7 hours per week work for students Language English How To Pass Pass all graded assignments to complete the course. User Ratings 4.8 stars Average User Rating 4.8See what learners said Coursework

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Syllabus


WEEK 1


Welcome



1 video, 3 readings expand

1. Reading: Course Syllabus
2. Reading: Consent Form
3. Video: Course Introduction
4. Reading: Get from Georgia Tech

Stress and Strain Fundamentals
In this section, we will study the fundamentals of stress and strain as applied to Mechanics of Materials.


8 videos, 14 readings expand

1. Video: Module 1: General Analysis Approach
2. Reading: Download Pdf Format Module 1: General Analysis Approach
3. Video: Module 2: Internal Forces due to External Loads
4. Reading: Download Pdf Format Module 2: Internal Forces due to External Loads
5. Video: Module 3: Normal Stress/Shear Stress
6. Reading: Download Pdf Format: Module 3: Normal Stress/Shear Stress
7. Reading: Module 3 Worksheet Solution
8. Video: Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading
9. Reading: Download Pdf Format Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading
10. Reading: Module 4 Worksheet Solution
11. Video: Module 5: General State of Stress at a Point (3D)
12. Reading: Download Pdf Format Module 5: General State of Stress at a Point (3D)
13. Video: Module 6: Two-Dimensional (2D) or Plane Stress
14. Reading: Download Pdf Format Module 6: Two-Dimensional (2D) or Plane Stress
15. Video: Module 7: Nominal (Engineering) Stress and True Stress
16. Reading: Download Pdf Format Module 7: Nominal (Engineering) Stress and True Stress
17. Reading: Module 7 Worksheet Solution
18. Video: Module 8: Normal Strain
19. Reading: Download Pdf Format Module 8: Normal Strain
20. Reading: Module 8 Worksheet Solution
21. Reading: Solution to Quiz Week One
22. Reading: Earn a Georgia Tech Badge/Certificate/CEUs

Graded: Quiz on Stress and Strain Fundamentals

WEEK 2


Stress-Strain Diagrams, Material Properties, and Shear Stress and Strain
In this section, we will develop stress-strain diagrams, discuss material properties, and look more in depth at shear stress and strain.


7 videos, 11 readings expand

1. Video: Module 9: Tension Test and Stress-Strain Diagram
2. Reading: Download Pdf Format Module 9: Tension Test and Stress-Strain Diagram
3. Video: Module 10: Internal Properties and Hooke’s Law
4. Reading: Download Pdf Format Module 10: Internal Properties and Hooke’s Law
5. Reading: Module 10 Worksheet Solution
6. Video: Module 11: 0.2% Offset Yield Stress
7. Reading: Download Pdf Format Module 11: 0.2% Offset Yield Stress
8. Reading: Module 11 Worksheet Solution
9. Video: Module 12: Strain Hardening/Permanent Set
10. Reading: Download Pdf Format Module 12: Strain Hardening/Permanent Set
11. Video: Module 13: Poisson’s Ratio
12. Reading: Download Pdf Format Module 13: Poisson’s Ratio
13. Reading: Module 13 Worksheet Solution
14. Video: Module 14:Shear Stress/2D Pure Shear
15. Reading: Download Pdf Format Module 14:Shear Stress/2D Pure Shear
16. Video: Module 15: Shear Strain
17. Reading: Download Pdf Format Module 15: Shear Strain
18. Reading: Solution to Quiz Week Two

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

WEEK 3


Stresses on Inclined Planes
In this section, we will develop the stress transformation equations for inclined planes and introduce Mohr’s Circle for Plane Stress


11 videos, 14 readings expand

1. Video: Module 16:Stresses on Inclined Planes – Sign Convention
2. Reading: Download Pdf Format Module 16:Stresses on Inclined Planes – Sign Convention
3. Video: Module 17: Transformation Equations for Plane Stress
4. Reading: Download Pdf Format Module 17: Transformation Equations for Plane Stress
5. Reading: Module 17 Worksheet Solution
6. Video: Module 18: Principal Stresses/Principal Planes
7. Reading: Download Pdf Format Module 18: Principal Stresses/Principal Planes
8. Video: Module 19: Principal Stresses/Principal Planes (cont.)
9. Reading: Download Pdf Format Module 19: Principal Stresses/Principal Planes (cont.)
10. Video: Module 20: Maximum and Minimum In-Plane Principal Stresses
11. Reading: Download Pdf Format Module 20: Maximum and Minimum In-Plane Principal Stresses
12. Video: Module 21: Maximum In-Plane Shear Stress
13. Reading: Download Pdf Format Module 21: Maximum In-Plane Shear Stress
14. Reading: Module 21 Worksheet Solution
15. Video: Module 22: Introduction to Mohr’s Circle
16. Reading: Download Pdf Format Module 22: Introduction to Mohr’s Circle
17. Video: Module 23: Mohr’s Circle for Plane Stress
18. Reading: Download Pdf Format Module 23: Mohr’s Circle for Plane Stress
19. Video: Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle
20. Reading: Download Pdf Format Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle
21. Video: Module 25: Stresses on any given plane using Mohr’s Circle
22. Reading: Download Pdf Format Module 25: Stresses on any given plane using Mohr’s Circle
23. Video: Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem
24. Reading: Download Pdf Format Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem
25. Reading: Solution to Quiz Week Three

Graded: Quiz on Stresses on Inclined Planes

WEEK 4


Stress concentrations, Mohr’s Circle for Plane Strain, and measuring strains
In this section, we will learn about stress concentrations, and discuss plane strain, develop Mohr’s Circle for Plane Strain, and explore methods of measuring strain.


11 videos, 12 readings expand

1. Video: Module 27: Stress Concentration Factors/Saint-Venant’s Principle
2. Reading: Download Pdf Format Module 27: Stress Concentration Factors/Saint-Venant’s Principle
3. Video: Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors
4. Reading: Download Pdf Format Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors
5. Video: Module 29: Two-Dimensional (2D) or Plane Strain
6. Reading: Download Pdf Format Module 29: Two-Dimensional (2D) or Plane Strain
7. Video: Module 30: Transformation Equations for Plane Strain
8. Reading: Download Pdf Format Module 30: Transformation Equations for Plane Strain
9. Video: Module 31: Transformation Equations for Plane Strain (cont.)
10. Reading: Download Pdf Format Module 31: Transformation Equations for Plane Strain (cont.)
11. Video: Module 32: Mohr’s Circle for Plane Strain
12. Reading: Download Pdf Format Module 32: Mohr’s Circle for Plane Strain
13. Video: Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle
14. Reading: Download Pdf Format Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle
15. Video: Module 34: Strains on any given plane using Mohr’s Circle
16. Reading: Download Pdf Format Module 34: Strains on any given plane using Mohr’s Circle
17. Video: Module 35: Find Strains using Experimental Analysis Techniques
18. Reading: Download Pdf Format Module 35: Find Strains using Experimental Analysis Techniques
19. Video: Module 36: Find In-Plane Strains using Strain Gage Measurements
20. Reading: Download Pdf Format Module 36: Find In-Plane Strains using Strain Gage Measurements
21. Video: Module 37: Find Principal Strains, Maximum Shear Strain, and Principal
22. Reading: Download Pdf Format Module 37: Find Principal Strains, Maximum Shear Strain, and Principal
23. Reading: Solution to Quiz Week Four

Graded: Quiz on Stress concentrations, Mohr’s Circle for Plane Strain, and measuring strains

WEEK 5


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



In this section, we will conclude the course by discussing the topics of the generalize Hooke’s Laws for Isotropic materials, factors of safety, nonlinear behavior and plasticity, statically indeterminate structures, and thermal effects in mechanics of materials.


9 videos, 12 readings expand

1. Video: Module 38: Generalized Hooke’s Laws for Isotropic Materials
2. Reading: Download Pdf Format Module 38: Generalized Hooke’s Laws for Isotropic Materials
3. Video: Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials
4. Reading: Download Pdf Format Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials
5. Video: Module 40: Factor of Safety
6. Reading: Download Pdf Format Module 40: Factor of Safety
7. Video: Module 41: Design to meet specified Factor of Safety
8. Reading: Download Pdf Format Module 41: Design to meet specified Factor of Safety
9. Reading: Module 41 Worksheet Solution
10. Video: Module 42: Idealized Elastoplastic Material Assumption
11. Reading: Download Pdf Format Module 42: Idealized Elastoplastic Material Assumption
12. Video: Module 43: Solve a Statically Indeterminate Structure under Axial Loading
13. Reading: Download Pdf Format Module 43: Solve a Statically Indeterminate Structure under Axial Loading
14. Video: Module 44: Temperature Effects on Engineering Materials
15. Reading: Download Pdf Format Module 44: Temperature Effects on Engineering Materials
16. Video: Module 45: Solve an Engineering Problem with Thermal Effects
17. Reading: Dowload Pdf Format Module 45: Solve an Engineering Problem with Thermal Effects
18. Reading: Solution to Quiz Week five
19. Video: Module 46: Course Conclusion
20. Reading: Download Pdf Format Module 46: Course Conclusion
21. Reading: Where to go from here

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