Solving Problems in Engineering Mechanics

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SUMMARY

The discussion centers on the teaching of Engineering Mechanics, particularly the component method for analyzing forces using vector notation with unit vectors i, j, and k, as emphasized in the book by Pytel and Kiusalaas. Participants highlight the historical context of vector notation's adoption in the US during the late 1950s, driven by technological competition. The conversation reveals a gap in computer integration in engineering curricula in developing countries, where computer usage is often optional and underfunded. The preference for matrix representation over traditional vector notation is noted for its computational efficiency.

PREREQUISITES
  • Understanding of Engineering Mechanics principles
  • Familiarity with vector notation and unit vectors i, j, k
  • Basic knowledge of matrix operations
  • Awareness of historical developments in engineering education
NEXT STEPS
  • Research the integration of computer software in engineering curricula
  • Explore the use of matrix representation in Engineering Mechanics
  • Investigate funding opportunities for technology in education
  • Learn about modern computational tools for engineering analysis
USEFUL FOR

Engineering educators, students of Engineering Mechanics, curriculum developers, and anyone interested in the integration of technology in engineering education.

RTFVerterra
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Hello guys, I am from the Philippines and I am teaching the subject Engineering Mechanics on one of the colleges in our province. As I am from a developing country our technology are far behind that of the Western.

As of engineering curriculum, most of us are using the component method of dealing with forces in engineering mechanics. I have this book of Pytel and Kiusalaas and the authors emphasizes the use of rectangular representation of vectors, the method that used the unit vector i, j, and k. I understand the power of this approach if coupled with computer but most of our colleges made computer integration only an option (not funded).

I just want to ask the status of this subject in your country, how the program is integrated with the use of computer software. Is there a computer lab time for it, or just leave (let) the student acquire their own software. Thanks.
 
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There is no special software.

If you orient the i, j, k axes properly, it is the same as the component method --- normal and parallel.
 
The use of vector notation, particularly through the use of unit vectors i, j, and k, seemed to spread rapidly in the US in the very late 1950's. A lot of this was the American response to the Russian Sputnik in October, 1957, and the fear, "Oh, we are behind!" This was what I was taught in college in 1958.

In fact, however, the use of vector components expressed in matrix form, as opposed to vector notation, greatly facilitates the application of computers for executing the computations. As a result, today I rarely use vector notation, but use matrices on a daily basis because I want the computer to crunch the numbers for me.
 

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