Why are fixed end moments AB and BC not considered in this problem?

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Discussion Overview

The discussion revolves around the treatment of fixed end moments (FEM) in a structural analysis problem involving a beam with supports at points A, B, and C. Participants explore why certain fixed end moments are not considered in the analysis, particularly at points AB and BC, and how this relates to the classification of supports as pinned rather than fixed.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why fixed end moments AB and BC are not considered, suggesting it may be due to the focus on finding the moment at B.
  • Another participant clarifies that supports at A and C are pinned joints, not fixed joints, which impacts the analysis of fixed end moments.
  • There is confusion regarding the values of fixed end moments, with one participant noting discrepancies between examples and questioning why the fixed end moment for span BC is 3PL/16, despite B being a roller and C a pinned connection.
  • A later reply explains that the series of problems involve statically indeterminate beams, requiring methods like the slope-deflection approach, and that the analysis assumes joint B is fixed temporarily to calculate the fixed end moment for span BC.

Areas of Agreement / Disagreement

Participants generally agree that there are no fixed end moments at A, B, and C. However, there is disagreement and confusion regarding the specific values of fixed end moments and the implications of the support types on the analysis.

Contextual Notes

Participants express uncertainty about the assumptions made in the analysis, particularly regarding the classification of supports and the resulting fixed end moments. The discussion highlights the complexity of statically indeterminate beam analysis and the need for specific methods to address the problem.

fonseh
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Homework Statement


In this problem , i don't understand why the fixed end moment AB and fixed end moment BC arent considered ?

Homework Equations

The Attempt at a Solution


Is it because we are asked to find the moment at B , so only fixed end moment AB and fixed end moment BC arent considered ?
 

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the supports at A and C are given as pinned joints, not fixed joints, as noted in the problem.
 
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Here's a list of fixed end moment , in this example , we can see that the fixed end moment AB and BA is + / - PL / 8 , why it's not 3PL / 16 as in the example in post # 1? In both example , we could see that ( example in post1) , span BC is fixed supported and
PhanthomJay said:
the supports at A and C are given as pinned joints, not fixed joints, as noted in the problem.
One more problem , why (FEM)BC is 3PL / 16 ?
It's clear in the the figure 636 that when one end is fixed , while the another end is pinned , then the fixed end moment is 3PL /16 ... But for the span BC , we could see that B is the roller and C is the pinned connection , there's no fixed support in the span BC
 

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fonseh said:
Here's a list of fixed end moment , in this example , we can see that the fixed end moment AB and BA is + / - PL / 8 , why it's not 3PL / 16 as in the example in post # 1? In both example , we could see that ( example in post1) , span BC is fixed supported and

One more problem , why (FEM)BC is 3PL / 16 ?
It's clear in the the figure 636 that when one end is fixed , while the another end is pinned , then the fixed end moment is 3PL /16 ... But for the span BC , we could see that B is the roller and C is the pinned connection , there's no fixed support in the span BC
You are correct that there are no fixed end moments at A, B, and C. But remember, these series of problems you have been working on are for statically indeterminate beams because there are more unknown external support reaction forces and moments than the number of equilibrium equations, so you have to resort to indeterminate analysis methods such as the slope-deflection approach or moment distribution method. These methods require you to assume initially that the interior joint (B) is fixed, then you release the joint from fixity and let the assumed FEM moment distribute to the other ends based on stiffness and carry over factors. In this example, in span BC, you temporarily fix joint B, and since the beam is pinned at C, you use the table for a fixed-pinned beam to get the FEM_BC of 3PL/16. After completing the analysis, you end up with only internal moments, but no external FEM moments at the supports.
 

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