About this course: This course is an introduction to learning and applying the principles required to solve engineering mechanics problems. Concepts will be applied in this course from previous courses you have taken in basic math and physics. The course addresses the modeling and analysis of static equilibrium problems with an emphasis on real world engineering applications and problem solving. 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 |
Syllabus
WEEK 1
Forces and Particle Equilibrium
In this section, students will learn the definition of a force and how to represent a force as a vector in two (2D) and three (3D) dimensions. Students will learn the concept of particle equilibrium and equilibrium of systems of particles. Concepts will be reinforced with example problems.
7 videos, 14 readings
- Reading: Syllabus
- Reading: PDF version of Solve a Particle Equilibrium Problem Powerpoint
- Video: Module 1: Course Introduction
- Reading: PDF version of Course Introduction Powerpoint
- Video: Module 2: Definition of a Force
- Reading: PDF version of Definition of a Force Powerpoint
- Reading: Consent Form
- Video: Module 3: Force Representation in 2D and Resultants
- Reading: PDF version of Force Representation in 2D and Resultants Powepoints
- Reading: Module Materials: Force Representations in 2D and Resultants
- Video: Module 4: Force Representation in 3D
- Reading: PDF version of Force Representation in 3D Powerpoint
- Reading: Module Materials: Force Representation in 3D
- Reading: Practice Problems
- Reading: Get More from Georgia Tech
- Video: Module 5: Particle Equilibrium
- Reading: PDF version of Particle Equilibrium Powerpoint
- Video: Module 6: Systems of Particles Equilibrium
- Reading: PDF version of Systems of Particles Equilibrium Powerpoint
- Video: Module 7: Solve a Particle Equilibrium Problem
- Reading: Solution to Quiz
Graded: Forces and Particle Equilibrium
WEEK 2
Define and Calculate Moments
In this section, students will learn the definition of a moment. Students will calculate the moment of a force about a point, line or axis, and moment due to a couple.
5 videos, 10 readings
- Video: Module 8: Definition of a Moment
- Reading: PDF version of Definition of a Moment Powerpoint
- Video: Module 9: Solve a 2D Moment Problem
- Reading: PDF version of Solve a 2D Moment Problem Powerpoint
- Video: Module 10: Solve a 3D Moment Problem
- Reading: PDF version of Solve a 3D Moment Problem Powerpoint
- Reading: Module Materials: Solve a 3D Moment Problem
- Video: Module 11: Moment About a Line/Axis
- Reading: PDF version of Moment About a Line/Axis Powerpoint
- Video: Module 12: Moment Due to a Couple
- Reading: PDF version of Moment Due to a Couple Powerpoint
- Reading: Module Materials: Moment Due to a Couple
- Reading: Practice Problems
- Reading: Earn a Georgia Tech Badge/Certificate/CEUs
- Reading: Solution to Quiz 2
Graded: Define and Calculate Moments
WEEK 3
Equilibrium and Equivalence of Force Systems
In this section, students will learn the equilibrium equations in two (2D) and three (3D) dimensions. Students will solve equivalent system problems. System force results will be defined and calculated.
6 videos, 8 readings
- Video: Module 13: 2D and 3D Equilibrium Equations
- Reading: PDF version of 2D and 3D Equilibrium Equations Powerpoint
- Reading: Practice Problems
- Video: Module 14: Conditions for Equivalent Equations
- Reading: PDF version of Conditions for Equivalent Equations Powerpoint
- Video: Module 15: Solve an Equivalent Systems Problem
- Reading: PDF version of Solve an Equivalent Systems Problem Powerpoint
- Video: Module 16: Single Force Resultants-Coplanar System
- Reading: PDF version of Single Force Resultants-Coplanar System Powerpoint
- Video: Module 17: Single Force Resultants-Parallel Force Systems
- Reading: PDF version of Single Force Resultants-Parallel Force Systems Powerpoint
- Video: Module 18: Distributed Force Systems
- Reading: PDF version of Distributed Force Systems Powerpoint
- Reading: Solution to Quiz 3
Graded: Equilibrium and Equivalence of Force Systems
WEEK 4
Free Body Diagrams and Equilibrium Analysis Techniques
In this section, students will learn to analyze general equilibrium problems. Free Body Diagrams (FBD) will be defined. Concepts will be reinforced with example problems.
6 videos, 9 readings
- Video: Module 19: Centroids
- Reading: PDF version of Centroids Powerpoint
- Video: Module 20: Method of Composite Parts I
- Reading: PDF version of Method of Composite Parts I Powerpoint
- Video: Module 21: Method of Composite Parts II
- Reading: PDF version of Method of Composite Parts II Powerpoint
- Video: Module 22: Resultant Force on Surfaces
- Reading: PDF version of Resultant Force on Surfaces Powerpoint
- Video: Module 23: Free Body Diagrams I
- Reading: PDF version of Free Body Diagrams I Powerpoint
- Video: Module 24: Free Body Diagrams II
- Reading: PDF version of Free Body Diagrams II Powerpoint
- Reading: Module Materials: Free Body Diagrams II
- Reading: Practice Problems
- Reading: Solution to Quiz 4
Graded: Free Body Diagrams and Equilibrium Analysis Techniques
WEEK 5
Application of Static Equilibrium Equations
In this section, students will apply the equilibrium equations to solve two (2D) and three (3D) real world engineering problems. There will be an extensive use of example problems to reinforce concepts from the course.
6 videos, 11 readings
- Video: Module 25: Apply 2D Equilibrium Equations
- Reading: PDF version of Apply 2D Equilibrium Equations Powerpoint
- Reading: Module Materials: Apply 2D Equilibrium Problems
- Video: Module 26: Solve 2D Equilibrium Problems I
- Reading: PDF version of Solve 2D Equilibrium Problems I Powerpoint
- Video: Module 27: Solve 2D Equilibrium Problems II
- Reading: PDF version of Solve 2D Equilibrium Problems II Powerpoint
- Video: Module 28: Apply 3D Equilibrium Equations
- Reading: PDF version of Apply 3D Equilibrium Equations Powerpoint
- Video: Module 29: Solve 3D Equilibrium Problems
- Reading: PDF version of Solve 3D Equilibrium Problems
- Reading: Module Materials: Solve 3D Equilibrium Problems
- Video: Module 30: Course Conclusion
- Reading: PDF version of course conclusion Powerpoint
- Reading: Practice Problems
- Reading: Where to go from here?
- Reading: Solution to Quiz 5
Graded: Application of Static Equilibrium Equations
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Ratings and Reviews
Excellent content!
Good overview of mechanical mathematics but I felt that some of the information could have been explained in a simpler way.
nice course.
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