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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6 modules

Gain insight into a topic and learn the fundamentals.

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2 weeks to complete

at 10 hours a week

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Learn at your own pace

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Most learners liked this course

6 modules

Gain insight into a topic and learn the fundamentals.

3,518 reviews

2 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

97%

Most learners liked this course

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Assessments

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 videos Total 37 minutes

Module 1: General Analysis Approach 4 minutes
Module 2: Internal Forces due to External Loads 2 minutes
Module 3: Normal Stress/Shear Stress 4 minutes
Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading 9 minutes
Module 5: General State of Stress at a Point (3D) 9 minutes
Module 6: Two-Dimensional (2D) or Plane Stress 3 minutes
Module 7: Nominal (Engineering) Stress and True Stress 4 minutes
Module 8: Normal Strain 2 minutes

14 readings Total 140 minutes

Download Pdf Format Module 1: General Analysis Approach 10 minutes
Download Pdf Format Module 2: Internal Forces due to External Loads 10 minutes
Download Pdf Format: Module 3: Normal Stress/Shear Stress 10 minutes
Module 3 Worksheet Solution 10 minutes
Download Pdf Format Module 4: Maximum Normal and Shear Stress on Inclined Planes for Uniaxial Loading 10 minutes
Module 4 Worksheet Solution 10 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 Stress 10 minutes
Download Pdf Format Module 7: Nominal (Engineering) Stress and True Stress 10 minutes
Module 7 Worksheet Solution 10 minutes
Download Pdf Format Module 8: Normal Strain 10 minutes
Module 8 Worksheet Solution 10 minutes
Solution to Quiz Week One 10 minutes
Earn a Georgia Tech Badge/Certificate/CEUs 10 minutes

1 assignment Total 30 minutes

Quiz on Stress and Strain Fundamentals 30 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 videos Total 35 minutes

Module 9: Tension Test and Stress-Strain Diagram 10 minutes
Module 10: Internal Properties and Hooke’s Law 5 minutes
Module 11: 0.2% Offset Yield Stress 3 minutes
Module 12: Strain Hardening/Permanent Set 2 minutes
Module 13: Poisson’s Ratio 7 minutes
Module 14:Shear Stress/2D Pure Shear 5 minutes
Module 15: Shear Strain 4 minutes

11 readings Total 110 minutes

Download Pdf Format Module 9: Tension Test and Stress-Strain Diagram 10 minutes
Download Pdf Format Module 10: Internal Properties and Hooke’s Law 10 minutes
Module 10 Worksheet Solution 10 minutes
Download Pdf Format Module 11: 0.2% Offset Yield Stress 10 minutes
Module 11 Worksheet Solution 10 minutes
Download Pdf Format Module 12: Strain Hardening/Permanent Set 10 minutes
Download Pdf Format Module 13: Poisson’s Ratio 10 minutes
Module 13 Worksheet Solution 10 minutes
Download Pdf Format Module 14:Shear Stress/2D Pure Shear 10 minutes
Download Pdf Format Module 15: Shear Strain 10 minutes
Solution to Quiz Week Two 10 minutes

1 assignment Total 30 minutes

Quiz on Stress-Strain Diagrams, Material Properties, and Shear Stress and Strain 30 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 videos Total 68 minutes

Module 16:Stresses on Inclined Planes – Sign Convention 6 minutes
Module 17: Transformation Equations for Plane Stress 8 minutes
Module 18: Principal Stresses/Principal Planes 5 minutes
Module 19: Principal Stresses/Principal Planes (cont.) 3 minutes
Module 20: Maximum and Minimum In-Plane Principal Stresses 8 minutes
Module 21: Maximum In-Plane Shear Stress 6 minutes
Module 22: Introduction to Mohr’s Circle 5 minutes
Module 23: Mohr’s Circle for Plane Stress 6 minutes
Module 24: Determine Principal Stresses, Principal Planes, and Maximum Shear Stress using Mohr’s Circle 10 minutes
Module 25: Stresses on any given plane using Mohr’s Circle 7 minutes
Module 26: Principal Stresses and Principal Planes by solving Eigenvalue Problem 5 minutes

14 readings Total 140 minutes

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

1 assignment Total 30 minutes

Quiz on Stresses on Inclined Planes 30 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 videos Total 68 minutes

Module 27: Stress Concentration Factors/Saint-Venant’s Principle 6 minutes
Module 28: Determine Maximum Stress at Discontinuities using Stress Concentration Factors 8 minutes
Module 29: Two-Dimensional (2D) or Plane Strain 6 minutes
Module 30: Transformation Equations for Plane Strain 8 minutes
Module 31: Transformation Equations for Plane Strain (cont.) 2 minutes
Module 32: Mohr’s Circle for Plane Strain 2 minutes
Module 33: Determine Principal Strains, Principal Planes, and Maximum Shear Strain using Mohr’s Circle 9 minutes
Module 34: Strains on any given plane using Mohr’s Circle 6 minutes
Module 35: Find Strains using Experimental Analysis Techniques 6 minutes
Module 36: Find In-Plane Strains using Strain Gage Measurements 7 minutes
Module 37: Find Principal Strains, Maximum Shear Strain, and Principal 7 minutes

12 readings Total 120 minutes

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

1 assignment Total 30 minutes

Quiz on Stress concentrations, Mohr’s Circle for Plane Strain, and measuring strains 30 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 videos Total 57 minutes

Module 38: Generalized Hooke’s Laws for Isotropic Materials 9 minutes
Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials 6 minutes
Module 40: Factor of Safety 4 minutes
Module 41: Design to meet specified Factor of Safety 5 minutes
Module 42: Idealized Elastoplastic Material Assumption 3 minutes
Module 43: Solve a Statically Indeterminate Structure under Axial Loading 14 minutes
Module 44: Temperature Effects on Engineering Materials 6 minutes
Module 45: Solve an Engineering Problem with Thermal Effects 8 minutes
Module 46: Course Conclusion 3 minutes

12 readings Total 120 minutes

Download Pdf Format Module 38: Generalized Hooke’s Laws for Isotropic Materials 10 minutes
Download Pdf Format Module 39: Modulus of Elasticity, Modulus of Rigidity, and Poisson’s Ratio relationship for Isotropic Materials 10 minutes
Download Pdf Format Module 40: Factor of Safety 10 minutes
Download Pdf Format Module 41: Design to meet specified Factor of Safety 10 minutes
Module 41 Worksheet Solution 10 minutes
Download Pdf Format Module 42: Idealized Elastoplastic Material Assumption 10 minutes
Download Pdf Format Module 43: Solve a Statically Indeterminate Structure under Axial Loading 10 minutes
Download Pdf Format Module 44: Temperature Effects on Engineering Materials 10 minutes
Dowload Pdf Format Module 45: Solve an Engineering Problem with Thermal Effects 10 minutes
Solution to Quiz Week five 10 minutes
Download Pdf Format Module 46: Course Conclusion 10 minutes
Where to go from here 10 minutes

1 assignment Total 30 minutes

Quiz on Generalized Hooke’s Laws, Factor of Safety, Non-linear behavior and Plasticity, Statically Indeterminate Structures, and Thermal Effects 30 minutes

Instructor

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(760 ratings)

Dr. Wayne Whiteman, PE

Georgia Institute of Technology

13 Courses 461,976 learners

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Georgia Institute of Technology

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Reviewed on Jun 21, 2020

I had a pleasure in learning with georgia tech. They povided a good platform for learning through online.thanking to the professor for spending there time for teaching .

Reviewed on Jul 20, 2020

Excellent course, it gives a powerful initiation on one of the most important topics for Mechanical Engineers. The videos are didactic and the professor makes all the concepts easy to understand.

Reviewed on Jun 7, 2020

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 experiencethanks.

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