Neglecting axial deformation is slope deflection method

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Discussion Overview

The discussion revolves around the slope deflection method in structural analysis, specifically focusing on the implications of neglecting axial deformation in frames. Participants explore the relationship between axial deformation and axial force, as well as the application of matrix methods in this context.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether neglecting axial deformation equates to ignoring axial force, seeking clarification on this relationship.
  • Another participant notes that in many structural analyses, significant geometric changes are typically disregarded, particularly when flexural displacements are small, but acknowledges exceptions such as triangulated frames and cable-supported structures.
  • A suggestion is made to compare results from a matrix that includes axial deformation terms ('AE/L') with results from a matrix that excludes them, to understand the differences in outcomes.
  • A later reply reiterates the initial question about the relationship between neglecting axial deformation and axial force, seeking further confirmation on the expected results when applying the slope deflection method.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the implications of neglecting axial deformation, and there is no consensus on whether this means ignoring axial force. The discussion remains unresolved with multiple viewpoints presented.

Contextual Notes

Participants acknowledge that the assumptions made in structural analysis may depend on specific conditions and configurations, such as the geometry of the frame and loading conditions.

Who May Find This Useful

Individuals interested in structural analysis, particularly those studying or working with the slope deflection method and matrix methods in engineering contexts.

Sadeq
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Hello,

When we use slope deflection method in frames we neglect axial deformation in order to get the same delta when the frame is sway,(that what i understood)

So i have two questions
1. Neglecting axial deformation means ignoring axial force??Or what??
2. How to neglect axial deformation in frame matrix like picture?if we use ,matrix not slope deflection
 

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A general assumption made in most structural analyses is that there is no significant change of geometry from before loading to after loading. In many situations, if flexural displacements are small, then axial displacements can be regarded as vanishingly small. Exceptions that come to mind include triangulated frames with loads at the nodes only, and cable-supported structures where cable extension can be significant. It could be instructive for you to use your matrix with all the 'AE/L' terms included, and compare the result with when they are all excluded.
 
Thank you very much brother.
I understand what you said
but regarding to first question. does Neglecting axial deformation means ignoring axial force??Or what??
and you say if i exlcuded EA/L from the above matrix, i should get result as slope deflection for the same problem.right
 
UP

some help please
 

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