What size is the Global Stiffness Matrix in this Example?

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Discussion Overview

The discussion revolves around the size of the global stiffness matrix for a beam composed of multiple elements and nodes, specifically comparing a case with three elements and four nodes to one with two elements and three nodes. The focus includes theoretical aspects of matrix size calculation in structural analysis.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether a beam with three elements and four nodes results in an 8x8 global stiffness matrix and compares it to a 6x6 matrix for a beam with two elements and three nodes.
  • Another participant asserts that the size of the global stiffness matrix is determined by the number of nodes multiplied by the number of degrees of freedom per node.
  • Some participants express frustration with the availability of information online, suggesting that many sources do not provide clear or straightforward explanations regarding the global stiffness matrix.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the size of the global stiffness matrix for the given examples, and there are competing views regarding the clarity and usefulness of available resources on the topic.

Contextual Notes

There may be limitations in the assumptions made about the degrees of freedom per node and the specific configurations of the beams discussed, which are not fully explored in the posts.

ihebmtir
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TL;DR
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
 

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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.
 

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