Mechanics of Materials I: Fundamentals of Stress & Strain and Axial Loading
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Mechanics of Materials I: Fundamentals of Stress & Strain and Axial Loading
Georgia Institute of Technology
Informações sobre o curso
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.
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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.
Syllabus - What you will learn from this course
1
Section
Welcome
1 video (Total 2 min), 3 readings
1 videos
3 readings
Course Syllabus10m
Consent Form10m
Get More from Georgia Tech10m
Stress and Strain Fundamentals
In this section, we will study the fundamentals of stress and strain as applied to Mechanics of Materials.
8 videos (Total 37 min), 14 readings, 1 quiz
8 videos
Module 2: Internal Forces due to External Loads2m
Module 3: Normal Stress/Shear Stress3m
Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading9m
Module 5: General State of Stress at a Point (3D)8m
Module 6: Two-Dimensional (2D) or Plane Stress2m
Module 7: Nominal (Engineering) Stress and True Stress4m
Module 8: Normal Strain2m
14 readings
Download Pdf Format Module 1: General Analysis Approach10m
Download Pdf Format Module 2: Internal Forces due to External Loads10m
Download Pdf Format: Module 3: Normal Stress/Shear Stress10m
Module 3 Worksheet Solution10m
Download Pdf Format Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading10m
Module 4 Worksheet Solution10m
Download Pdf Format Module 5: General State of Stress at a Point (3D)10m
Download Pdf Format Module 6: Two-Dimensional (2D) or Plane Stress10m
Download Pdf Format Module 7: Nominal (Engineering) Stress and True Stress10m
Module 7 Worksheet Solution10m
Download Pdf Format Module 8: Normal Strain10m
Module 8 Worksheet Solution10m
Solution to Quiz Week One10m
Earn a Georgia Tech Badge/Certificate/CEUs10m
1 practice exercises
Quiz on Stress and Strain Fundamentals6m
2
Section
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 (Total 35 min), 11 readings, 1 quiz
7 videos
Module 10: Internal Properties and Hooke’s Law4m
Module 11: 0.2% Offset Yield Stress3m
Module 12: Strain Hardening/Permanent Set1m
Module 13: Poisson’s Ratio6m
Module 14:Shear Stress/2D Pure Shear4m
Module 15: Shear Strain4m
11 readings
Download Pdf Format Module 9: Tension Test and Stress-Strain Diagram10m
Download Pdf Format Module 10: Internal Properties and Hooke’s Law10m
Module 10 Worksheet Solution10m
Download Pdf Format Module 11: 0.2% Offset Yield Stress10m
Module 11 Worksheet Solution10m
Download Pdf Format Module 12: Strain Hardening/Permanent Set10m
Download Pdf Format Module 13: Poisson’s Ratio10m
Module 13 Worksheet Solution10m
Download Pdf Format Module 14:Shear Stress/2D Pure Shear10m
Download Pdf Format Module 15: Shear Strain10m
Solution to Quiz Week Two10m
1 practice exercises
Quiz on Stress-Strain Diagrams, Material Properties, and Shear Stress and Strain6m
3
Section
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 (Total 68 min), 14 readings, 1 quiz
11 videos
Module 17: Transformation Equations for Plane Stress8m
Module 18: Principal Stresses/Principal Planes5m
Module 19: Principal Stresses/Principal Planes (cont.)2m
Module 20: Maximum and Minimum In-Plane Principal Stresses7m
Module 21: Maximum In-Plane Shear Stress5m
Module 22: Introduction to Mohr’s Circle4m
Module 23: Mohr’s Circle for Plane Stress5m
Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle9m
Module 25: Stresses on any given plane using Mohr’s Circle6m
Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem5m
14 readings
Download Pdf Format Module 16:Stresses on Inclined Planes – Sign Convention10m
Download Pdf Format Module 17: Transformation Equations for Plane Stress10m
Module 17 Worksheet Solution10m
Download Pdf Format Module 18: Principal Stresses/Principal Planes10m
Download Pdf Format Module 19: Principal Stresses/Principal Planes (cont.)10m
Download Pdf Format Module 20: Maximum and Minimum In-Plane Principal Stresses10m
Download Pdf Format Module 21: Maximum In-Plane Shear Stress10m
Module 21 Worksheet Solution10m
Download Pdf Format Module 22: Introduction to Mohr’s Circle10m
Download Pdf Format Module 23: Mohr’s Circle for Plane Stress10m
Download Pdf Format Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle10m
Download Pdf Format Module 25: Stresses on any given plane using Mohr’s Circle10m
Download Pdf Format Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem10m
Solution to Quiz Week Three10m
1 practice exercises
Quiz on Stresses on Inclined Planes6m
4
Section
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 (Total 68 min), 12 readings, 1 quiz
11 videos
Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors8m
Module 29: Two-Dimensional (2D) or Plane Strain5m
Module 30: Transformation Equations for Plane Strain8m
Module 31: Transformation Equations for Plane Strain (cont.)1m
Module 32: Mohr’s Circle for Plane Strain2m
Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle9m
Module 34: Strains on any given plane using Mohr’s Circle6m
Module 35: Find Strains using Experimental Analysis Techniques5m
Module 36: Find In-Plane Strains using Strain Gage Measurements7m
Module 37: Find Principal Strains, Maximum Shear Strain, and Principal7m
12 readings
Download Pdf Format Module 27: Stress Concentration Factors/Saint-Venant’s Principle10m
Download Pdf Format Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors10m
Download Pdf Format Module 29: Two-Dimensional (2D) or Plane Strain10m
Download Pdf Format Module 30: Transformation Equations for Plane Strain10m
Download Pdf Format Module 31: Transformation Equations for Plane Strain (cont.)10m
Download Pdf Format Module 32: Mohr’s Circle for Plane Strain10m
Download Pdf Format Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle10m
Download Pdf Format Module 34: Strains on any given plane using Mohr’s Circle10m
Download Pdf Format Module 35: Find Strains using Experimental Analysis Techniques10m
Download Pdf Format Module 36: Find In-Plane Strains using Strain Gage Measurements10m
Download Pdf Format Module 37: Find Principal Strains, Maximum Shear Strain, and Principal10m
Solution to Quiz Week Four10m
1 practice exercises
Quiz on Stress concentrations, Mohr’s Circle for Plane Strain, and measuring strains6m
5
Section
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 (Total 57 min), 12 readings, 1 quiz
9 videos
Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials5m
Module 40: Factor of Safety4m
Module 41: Design to meet specified Factor of Safety5m
Module 42: Idealized Elastoplastic Material Assumption2m
Module 43: Solve a Statically Indeterminate Structure under Axial Loading14m
Module 44: Temperature Effects on Engineering Materials5m
Module 45: Solve an Engineering Problem with Thermal Effects7m
Module 46: Course Conclusion2m
12 readings
Download Pdf Format Module 38: Generalized Hooke’s Laws for Isotropic Materials10m
Download Pdf Format Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials10m
Download Pdf Format Module 40: Factor of Safety10m
Download Pdf Format Module 41: Design to meet specified Factor of Safety10m
Module 41 Worksheet Solution10m
Download Pdf Format Module 42: Idealized Elastoplastic Material Assumption10m
Download Pdf Format Module 43: Solve a Statically Indeterminate Structure under Axial Loading10m
Download Pdf Format Module 44: Temperature Effects on Engineering Materials10m
Dowload Pdf Format Module 45: Solve an Engineering Problem with Thermal Effects10m
Solution to Quiz Week five10m
Download Pdf Format Module 46: Course Conclusion10m
Where to go from here10m
1 practice exercises
Quiz on Generalized Hooke’s Laws, Factor of Safety, Non-linear behavior and Plasticity, Statically Indeterminate Structures, and Thermal Effects6m
4.8
25%
83%
Top Reviews
By MP•Mar 20th 2017
Excellent content and teacher. 100% recommended, clarity and accurate information is the constant in these courses. Again, outstanding teacher.
By LH•May 9th 2016
Awesome introduction to mechanics of materials, lots of material to study and a good teacher, i would recommend this course to everyone.
Instructor
Dr. Wayne Whiteman, PE
Senior Academic ProfessionalAbout Georgia Institute of Technology
The Georgia Institute of Technology is one of the nation's top research universities, distinguished by its commitment to improving the human condition through advanced science and technology.
Georgia Tech's campus occupies 400 acres in the heart of the city of Atlanta, where more than 20,000 undergraduate and graduate students receive a focused, technologically based education.
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