Mechanics of Materials IV: Deflections, Buckling, Combined Loading & Failure Theories

About this course: This course explores the analysis and design of engineering structures considering factors of deflection, buckling, combined loading, & failure theories ------------------------------------------------- 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.

Who is this class for: You will need to have successfully completed my earlier courses “Mechanics of Materials I: Fundamentals of Stress and Strain and Axial Loading,” “Mechanics of Materials II: Thin-Walled Pressure Vessels and Torsion,” and “Mechanics of Materials III: Beam Bending” in order to be successful in this course.

Created by:  Georgia Institute of Technology

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

  Woodruff School of Mechanical Engineering

Level Intermediate Commitment 2 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. Video: Course Introduction
3. Reading: Get from Georgia Tech
4. Reading: Consent Form

Deflections and Statically Indeterminate Beam Structures
In this section, we will learn how calculate the deflections, or deformations, of engineering structures subjected to loads. We will then use those techniques is solving statically indeterminate beam problems


13 videos, 15 readings expand

1. Video: Module 1: General Analysis Approach
2. Reading: Download Pdf format Module 1
3. Video: Module 2: Differential Equation for the elastic curve of a beam
4. Reading: Download Pdf format Module 2
5. Video: Module 3: Deflection of a simply supported beam with a concentrated load at the center
6. Reading: Download Pdf format Module 3
7. Video: Module 4: Double Integration Method to determine beam deflections
8. Reading: Download Pdf format Module 4
9. Video: Module 5: Double Integration Method – Simply supported beam with a moment applied to an end
10. Reading: Download Pdf format Module 5
11. Video: Module 6: Define Singularity Functions
12. Reading: Download Pdf format Module 6
13. Video: Module 7: Employing Singularity Functions for Beam Deflection Problems
14. Reading: Download Pdf format Module 7
15. Video: Module 8: Solve for the deflection of a real-world engineering problem using Singularity Functions
16. Reading: Download Pdf format Module 8
17. Video: Module 9: Determine beam deflections by superposition
18. Reading: Download Pdf format Module 9
19. Video: Module 10: Solve for beam deflection by superposition techniques
20. Reading: Download Pdf format Module 10
21. Video: Module 11: Solve for beam deflection by superposition techniques (cont.)
22. Reading: Download Pdf format Module 11
23. Video: Module 12: Solve a statically indeterminate beam structure problem using superposition techniques
24. Reading: Download Pdf format Module 12
25. Video: Module 13: Solve a statically indeterminate beam structure problem using singularity functions
26. Reading: Download Pdf format Module 13
27. Reading: Quiz 1 Solution
28. Reading: Earn a Georgia Tech Badge/Certificate/CEUs

Graded: Quiz on Deflections and Statically Indeterminate Beam Structures

WEEK 2


Column Buckling, Combined Loading, & Failure Theories
In this section, we will learn how to analyze and design for column buckling. We will also learn how to analyze and design engineering structures subjected to combined loading. Finally, we will conclude with failure theories in mechanics of materials.


10 videos, 11 readings expand

1. Video: Module 14: Differential equation for column buckling
2. Reading: Download Pdf format Module 14
3. Video: Module 15: Critical buckling load for a column with pinned-pinned end conditions
4. Reading: Download Pdf format Module 15
5. Video: Module 16: Critical buckling load for columns with various end conditions
6. Reading: Download Pdf format Module 16
7. Video: Module 17: Solve a column buckling problem
8. Reading: Download Pdf format Module 17
9. Video: Module 18: Slenderness ratio for column buckling
10. Reading: Download Pdf format Module 18
11. Video: Module 19: Modes of Failure between yielding and buckling
12. Reading: Download Pdf format Module 19
13. Video: Module 20: Solve a column problem checking both yielding and buckling
14. Reading: Download Pdf format Module 20
15. Video: Module 21: Solve a combined static loading problem
16. Reading: Download Pdf format Module 21
17. Video: Module 22: Apply failure theories to a mechanics of materials problem
18. Reading: Download Pdf format Module 22
19. Video: Module 23: Course Conclusion
20. Reading: Download Pdf format Module 23
21. Reading: Quiz 2 Solution

Graded: Quiz on Column Buckling, Combined Loading, & Failure Theories