About: Matrix Methods for Mechanical Systems: A Uniaxial Truss
Metadata
| Name: | Matrix Methods for Mechanical Systems: A Uniaxial Truss |
| ID: | m10146 |
| Language: | English (en) |
| Summary: | In this module we expand the discussion of matrix methods for modeling and solving problems by invesigating the mechanical prospection of tissue. Modeling the tissue with a uniaxial truss, we use its mechanical properties to set up a linear system. We then introduce and use Gaussian Elimination to solve this system. We also show an alternate path to a solution, using the Gauss-Jordan inverse method to generate an inverse. Finally, we briefly explore which matrices are invertible and which are not. |
| Subject: | Mathematics and Statistics, Science and Technology |
| Keywords: | elongation, force balance, Gaussian elimination, Gauss-Jordan method, Hooke's Law, identity matrix, inverse, invertibility, invertible, nonsingular, singular, uniaxial truss |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Doug Daniels (ddaniels888@gmail.com) |
| Copyright Holders: | Doug Daniels (ddaniels888@gmail.com) |
| Maintainers: | Doug Daniels (ddaniels888@gmail.com) |
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| Version: | 2.6 (history) |
| Created: | Jun 27, 2001 12:00 am GMT-5 |
| Revised: | Sep 8, 2004 5:36 pm GMT-5 |
Version History
| Version: | 2.6 Sep 8, 2004 5:36 pm GMT-5 by Charlet Reedstrom |
| Changes: | added foreign tag, fixed typo |
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| Version: | 2.5 Aug 10, 2004 9:09 am GMT-5 by Elizabeth Gregory |
| Changes: | Updated to CNXML 0.5 |
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| Version: | 2.4 Aug 9, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed gauss-jordan inverse matrix divider |
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| Version: | 2.3 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | changed cnxn to biaxial module |
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| Version: | 2.2 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added image |
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| Version: | 2.1 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | created new module |
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| Version: | 2.0 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10146 |
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American Chemical Society (ACS) Style Guide:
Daniels, D. Matrix Methods for Mechanical Systems: A Uniaxial Truss, Connexions Web site. http://cnx.org/content/m10146/2.6/, Sep 8, 2004.
American Medical Assocation (AMA) Manual of Style:
Daniels D. Matrix Methods for Mechanical Systems: A Uniaxial Truss [Connexions Web site]. September 8, 2004. Available at: http://cnx.org/content/m10146/2.6/.
American Psychological Assocation (APA) Publication Manual:
Daniels, D. (2004, September 8). Matrix Methods for Mechanical Systems: A Uniaxial Truss. Retrieved from the Connexions Web site: http://cnx.org/content/m10146/2.6/
Chicago Manual of Style (Bibliography):
Daniels, Doug. "Matrix Methods for Mechanical Systems: A Uniaxial Truss." Connexions. September 8, 2004. http://cnx.org/content/m10146/2.6/.
Chicago Manual of Style (Note):
Doug Daniels, "Matrix Methods for Mechanical Systems: A Uniaxial Truss," Connexions, September 8, 2004, http://cnx.org/content/m10146/2.6/.
Chicago Manual of Style (Reference, in Author-Date style):
Daniels, D. 2004. Matrix Methods for Mechanical Systems: A Uniaxial Truss. Connexions, September 8, 2004. http://cnx.org/content/m10146/2.6/.
Modern Languages Association (MLA) Style Manual:
Daniels, Doug. Matrix Methods for Mechanical Systems: A Uniaxial Truss. Connexions. 8 Sep. 2004 <http://cnx.org/content/m10146/2.6/>.
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This work is licensed by Doug Daniels under a Creative Commons Attribution License (CC-BY 1.0).
Last edited by Charlet Reedstrom on Sep 8, 2004 5:36 pm GMT-5.