What size is the Global Stiffness Matrix in this Example?

AI Thread Summary
The global stiffness matrix for a beam composed of three elements and four nodes, considering lateral deflections and slopes, is indeed an 8x8 matrix. This is calculated by multiplying the number of nodes by the degrees of freedom per node. In contrast, a beam with two elements and three nodes results in a 6x6 stiffness matrix. Many online resources lack clarity and straightforward explanations, often omitting essential details or mixing concepts. Understanding the calculation method is crucial for accurate stiffness matrix formulation.
ihebmtir
Messages
3
Reaction score
0
TL;DR Summary
4 nodes global stifness matrix
does this Beam, composed of three elements and 4 nodes(considering lateral deflections and slopes) has an 8x8 global stifness matrix
and if so is the global matrix calculated the same way as a 6x6 stifness matrix for the same kind of beam but only with two elements and 3 nodes
 

Attachments

  • 111.jpg
    111.jpg
    5.6 KB · Views: 234
Engineering news on Phys.org
The size of global stiffness matrix is the number of nodes multiplied by the number of degrees of freedom per node.
 
Arjan82 said:
There is tons of info on the web about this:

https://www.google.com/search?q=global+stiffness+matrix
Yes, all bad. I looked at many sources and none of them follow a straightforward problem without shortcuts that obscure the method or missing key details or not explaining where things go or mixing numbers and matrices or whatever.
 
Thread 'What type of toilet do I have?'
I was enrolled in an online plumbing course at Stratford University. My plumbing textbook lists four types of residential toilets: 1# upflush toilets 2# pressure assisted toilets 3# gravity-fed, rim jet toilets and 4# gravity-fed, siphon-jet toilets. I know my toilet is not an upflush toilet because my toilet is not below the sewage line, and my toilet does not have a grinder and a pump next to it to propel waste upwards. I am about 99% sure that my toilet is not a pressure assisted...
After over 25 years of engineering, designing and analyzing bolted joints, I just learned this little fact. According to ASME B1.2, Gages and Gaging for Unified Inch Screw Threads: "The no-go gage should not pass over more than three complete turns when inserted into the internal thread of the product. " 3 turns seems like way to much. I have some really critical nuts that are of standard geometry (5/8"-11 UNC 3B) and have about 4.5 threads when you account for the chamfers on either...
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'
Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
Back
Top