Matrix Analysis

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Anonymous Poster	Matrix Analysis 07/16/2009 5:18 AM
	I am studying stiffness matrix of piping system and at this point I know how to manually form the stiffness matrix with the consideration of anchor as infinitely rigid.But stress programs use a certain stiffness for an anchor which is high enough to be considered as fixed anchor. I've tried to run a simple L shape piping configuration with anchor at both ends and square corner. A plane frame problem in matrix analysis. I've manually calculated it and got some discrepancy. This due to the fact that I have not considered the stiffness of anchor (translational and rotational)in my manual calculation. As of now I'm still in progress with my self study and hang up at this point on how can I incorporate the stiffness of the anchor in the stiffness matrix. Any help is highly appreciated. Many thanks in advance. Cheers,
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ba/ael Guru Join Date: Nov 2007 Location: Sherwood Park, Alberta, Canada Posts: 1212 Good Answers: 74	#1 Re: Matrix Analysis 07/16/2009 1:58 PM
	Can't you consider the anchor as a member with specified properties, including length, moment of inertia, modulus of elasticity, area, etc.? Or alternatively, consider the anchor as a spring with known spring constant. __________________ Bruce
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XMech Power-User Join Date: Jan 2009 Location: Western Canada Posts: 295 Good Answers: 51	#2 Re: Matrix Analysis 07/16/2009 2:55 PM
	The must lucid, in-depth, rigorous analysis and explanation of mathematical methods of piping design you will probably ever find is in "Principles of Piping Analysis" by David Burgreen. http://www.amazon.com/Principles-Piping-Analysis-David-Burgreen/dp/0960045228/ref=sr_1_1?ie=UTF8&s=books&qid=1247770232&sr=8-1 Can you check to see if a local library, perhaps at a university has a copy for you to peruse? __________________ A little knowledge is a dangerous thing.
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XMech Power-User Join Date: Jan 2009 Location: Western Canada Posts: 295 Good Answers: 51	#3 In reply to #2 Re: Matrix Analysis 07/16/2009 8:47 PM
	More thoughts - I am not trying to detract from your point that in order to get a very accurate "hand calculation" number that you must include the stiffness of supports, but - Did you include the flexibility factor (k) for the elbow of your leg in your hand calcs? (because it almost assurdley is accounted for in the computer program you used) What pipe program are you using? Do/did you account/neglect "Bourdon" effects and/or internal pressure effects on flexibility factors in the program you are using? __________________ A little knowledge is a dangerous thing.
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