Lesson P1: Solving Equations (the Easy Way)

Life is too short to spend hours crunching numbers! Why not solve problem the fast and easy way? Saving time & increasing accuracy ==> This is cool!

Why take this lesson?

Picture yourself with ability to do engineering calcs using super simple approach. Instead of hours of time, gnashing of teeth, etc., you have an easier way to proceed. Visualize that you can

  • Effortlessly set up and solve real-world problems.
  • Inhance productivity by running calcs in 5 to 8 minutes (instead of 20+ minutes).
  • Easily solve a set of coupled, non-linear equations that otherwise would take 1-2 hours and require an iterative solution.
  • Play "what if" games during a design project so that you create a great design.
  • Crush exams by figuring them out in about 20 minutes.

Goals of the lesson

After you are done with this lesson, you will be able to:

  • Explain how to solve a problem by using thinking skills (i.e. reasoning) and organize your results using a GENI table.
  • Solve engineering problems (calcs) by using the PDM process with the GENI table, and then solving the equations using TK Solver.

Resources-GENI table

Resources-TK Solver

  • Example. Problem 3.69 YouTube Video
  • To try TK. Go to the vendor (UTS), then scroll down to the heading "Free Trial Product (Downloadable Version)," and download your 30-day trial copy.
  • Read about TK at TK Solver (wikipedia).
  • Example (PDF). Model a siphon, build a GENI table, solve with TK, create a report.

Requirements for completing this lesson.

1. In your own words, explain the following
- a. What is a GENI table? Why would a designer want to use this idea? What evidence is there that the GENI table is beneficial to designers?
- b. What is the step-by-step process for creating a GENI table.

2. Prove that you can build a GENI table by
- a. Solving two fluid mechanics problems of your choice.
- b. Using the GENI table as part your solution process.

3. Learn how to use TK solver and then provide evidence of your success by:
- describe how to do 5 useful things in TK (e.g. describe how to use units, how to make a plot, ..)
- write two program of your choice that solve problems relevant to the design engineer.

4. Solve three textbook problems from chapter 10. Use the GENI table together with TK solver, and document your solution using the usual approach.

5. Apply Reflective Thinking to your work on this lesson.

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