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

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

Instructor: Dr. Wayne Whiteman, PE

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5 assignments

Taught in English

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There are 6 modules in 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.

What's included

1 video3 readings

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

What's included

8 videos14 readings1 assignment

8 videosTotal 37 minutes

Module 1: General Analysis Approach4 minutesPreview module
Module 2: Internal Forces due to External Loads2 minutes
Module 3: Normal Stress/Shear Stress3 minutes
Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading9 minutes
Module 5: General State of Stress at a Point (3D)8 minutes
Module 6: Two-Dimensional (2D) or Plane Stress2 minutes
Module 7: Nominal (Engineering) Stress and True Stress4 minutes
Module 8: Normal Strain2 minutes

14 readingsTotal 140 minutes

Download Pdf Format Module 1: General Analysis Approach10 minutes
Download Pdf Format Module 2: Internal Forces due to External Loads10 minutes
Download Pdf Format: Module 3: Normal Stress/Shear Stress10 minutes
Module 3 Worksheet Solution10 minutes
Download Pdf Format Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading10 minutes
Module 4 Worksheet Solution10 minutes
Download Pdf Format Module 5: General State of Stress at a Point (3D)10 minutes
Download Pdf Format Module 6: Two-Dimensional (2D) or Plane Stress10 minutes
Download Pdf Format Module 7: Nominal (Engineering) Stress and True Stress10 minutes
Module 7 Worksheet Solution10 minutes
Download Pdf Format Module 8: Normal Strain10 minutes
Module 8 Worksheet Solution10 minutes
Solution to Quiz Week One10 minutes
Earn a Georgia Tech Badge/Certificate/CEUs10 minutes

1 assignmentTotal 30 minutes

Quiz on Stress and Strain Fundamentals30 minutes

In this section, we will develop stress-strain diagrams, discuss material properties, and look more in depth at shear stress and strain.

What's included

7 videos11 readings1 assignment

7 videosTotal 35 minutes

Module 9: Tension Test and Stress-Strain Diagram10 minutesPreview module
Module 10: Internal Properties and Hooke’s Law4 minutes
Module 11: 0.2% Offset Yield Stress3 minutes
Module 12: Strain Hardening/Permanent Set1 minute
Module 13: Poisson’s Ratio6 minutes
Module 14:Shear Stress/2D Pure Shear4 minutes
Module 15: Shear Strain4 minutes

11 readingsTotal 110 minutes

Download Pdf Format Module 9: Tension Test and Stress-Strain Diagram10 minutes
Download Pdf Format Module 10: Internal Properties and Hooke’s Law10 minutes
Module 10 Worksheet Solution10 minutes
Download Pdf Format Module 11: 0.2% Offset Yield Stress10 minutes
Module 11 Worksheet Solution10 minutes
Download Pdf Format Module 12: Strain Hardening/Permanent Set10 minutes
Download Pdf Format Module 13: Poisson’s Ratio10 minutes
Module 13 Worksheet Solution10 minutes
Download Pdf Format Module 14:Shear Stress/2D Pure Shear10 minutes
Download Pdf Format Module 15: Shear Strain10 minutes
Solution to Quiz Week Two10 minutes

1 assignmentTotal 30 minutes

Quiz on Stress-Strain Diagrams, Material Properties, and Shear Stress and Strain30 minutes

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

What's included

11 videos14 readings1 assignment

11 videosTotal 67 minutes

Module 16:Stresses on Inclined Planes – Sign Convention5 minutesPreview module
Module 17: Transformation Equations for Plane Stress8 minutes
Module 18: Principal Stresses/Principal Planes5 minutes
Module 19: Principal Stresses/Principal Planes (cont.)2 minutes
Module 20: Maximum and Minimum In-Plane Principal Stresses7 minutes
Module 21: Maximum In-Plane Shear Stress5 minutes
Module 22: Introduction to Mohr’s Circle4 minutes
Module 23: Mohr’s Circle for Plane Stress5 minutes
Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle9 minutes
Module 25: Stresses on any given plane using Mohr’s Circle6 minutes
Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem5 minutes

14 readingsTotal 140 minutes

Download Pdf Format Module 16:Stresses on Inclined Planes – Sign Convention10 minutes
Download Pdf Format Module 17: Transformation Equations for Plane Stress10 minutes
Module 17 Worksheet Solution10 minutes
Download Pdf Format Module 18: Principal Stresses/Principal Planes10 minutes
Download Pdf Format Module 19: Principal Stresses/Principal Planes (cont.)10 minutes
Download Pdf Format Module 20: Maximum and Minimum In-Plane Principal Stresses10 minutes
Download Pdf Format Module 21: Maximum In-Plane Shear Stress10 minutes
Module 21 Worksheet Solution10 minutes
Download Pdf Format Module 22: Introduction to Mohr’s Circle10 minutes
Download Pdf Format Module 23: Mohr’s Circle for Plane Stress10 minutes
Download Pdf Format Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle10 minutes
Download Pdf Format Module 25: Stresses on any given plane using Mohr’s Circle10 minutes
Download Pdf Format Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem10 minutes
Solution to Quiz Week Three10 minutes

1 assignmentTotal 30 minutes

Quiz on Stresses on Inclined Planes30 minutes

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.

What's included

11 videos12 readings1 assignment

11 videosTotal 67 minutes

Module 27: Stress Concentration Factors/Saint-Venant’s Principle5 minutesPreview module
Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors8 minutes
Module 29: Two-Dimensional (2D) or Plane Strain5 minutes
Module 30: Transformation Equations for Plane Strain8 minutes
Module 31: Transformation Equations for Plane Strain (cont.)1 minute
Module 32: Mohr’s Circle for Plane Strain2 minutes
Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle9 minutes
Module 34: Strains on any given plane using Mohr’s Circle6 minutes
Module 35: Find Strains using Experimental Analysis Techniques5 minutes
Module 36: Find In-Plane Strains using Strain Gage Measurements7 minutes
Module 37: Find Principal Strains, Maximum Shear Strain, and Principal7 minutes

12 readingsTotal 120 minutes

Download Pdf Format Module 27: Stress Concentration Factors/Saint-Venant’s Principle10 minutes
Download Pdf Format Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors10 minutes
Download Pdf Format Module 29: Two-Dimensional (2D) or Plane Strain10 minutes
Download Pdf Format Module 30: Transformation Equations for Plane Strain10 minutes
Download Pdf Format Module 31: Transformation Equations for Plane Strain (cont.)10 minutes
Download Pdf Format Module 32: Mohr’s Circle for Plane Strain10 minutes
Download Pdf Format Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle10 minutes
Download Pdf Format Module 34: Strains on any given plane using Mohr’s Circle10 minutes
Download Pdf Format Module 35: Find Strains using Experimental Analysis Techniques10 minutes
Download Pdf Format Module 36: Find In-Plane Strains using Strain Gage Measurements10 minutes
Download Pdf Format Module 37: Find Principal Strains, Maximum Shear Strain, and Principal10 minutes
Solution to Quiz Week Four10 minutes

1 assignmentTotal 30 minutes

Quiz on Stress concentrations, Mohr’s Circle for Plane Strain, and measuring strains30 minutes

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.

What's included

9 videos12 readings1 assignment

9 videosTotal 56 minutes

Module 38: Generalized Hooke’s Laws for Isotropic Materials8 minutesPreview module
Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials5 minutes
Module 40: Factor of Safety4 minutes
Module 41: Design to meet specified Factor of Safety5 minutes
Module 42: Idealized Elastoplastic Material Assumption2 minutes
Module 43: Solve a Statically Indeterminate Structure under Axial Loading14 minutes
Module 44: Temperature Effects on Engineering Materials5 minutes
Module 45: Solve an Engineering Problem with Thermal Effects7 minutes
Module 46: Course Conclusion2 minutes

12 readingsTotal 120 minutes

Download Pdf Format Module 38: Generalized Hooke’s Laws for Isotropic Materials10 minutes
Download Pdf Format Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials10 minutes
Download Pdf Format Module 40: Factor of Safety10 minutes
Download Pdf Format Module 41: Design to meet specified Factor of Safety10 minutes
Module 41 Worksheet Solution10 minutes
Download Pdf Format Module 42: Idealized Elastoplastic Material Assumption10 minutes
Download Pdf Format Module 43: Solve a Statically Indeterminate Structure under Axial Loading10 minutes
Download Pdf Format Module 44: Temperature Effects on Engineering Materials10 minutes
Dowload Pdf Format Module 45: Solve an Engineering Problem with Thermal Effects10 minutes
Solution to Quiz Week five10 minutes
Download Pdf Format Module 46: Course Conclusion10 minutes
Where to go from here10 minutes

1 assignmentTotal 30 minutes

Quiz on Generalized Hooke’s Laws, Factor of Safety, Non-linear behavior and Plasticity, Statically Indeterminate Structures, and Thermal Effects30 minutes

Instructor

Instructor ratings

4.7 (744 ratings)

Dr. Wayne Whiteman, PE

Georgia Institute of Technology

12 Courses429,172 learners

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Georgia Institute of Technology

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The course is very good, and well thought through. For future students perhaps you could get the professor to redo the videos in which he mis-spoke. otherwise its been a good experience

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Greetings, don't be tired, thank you dear professor for your efforts in the courses I hope you are healthy and happy. Mohammad Pakzad from Iran

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I found this course very much interesting and got refreshed my basics in brief and concise way. More practical way of explanation of the basics is fantastic.

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