Moment in beam (caused by influence line)

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Discussion Overview

The discussion revolves around understanding the calculation of moments in a beam using influence lines, specifically addressing the treatment of unit virtual loads in different segments of the beam. Participants are examining the differences in moment calculations for segments AC and CB.

Discussion Character

  • Homework-related, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions why the moment equation beyond segment AC does not mirror that of segment AC, suggesting that the moment should be calculated similarly in both regions.
  • Another participant explains that the author evaluates the moment when the virtual load is on segment CB, indicating that segment AC does not include the unit load in its calculations.
  • A participant seeks clarification on whether the author implies that the unit load is not considered in segment AC while it is in segment CB, expressing confusion over the author's approach as depicted in an uploaded photo.
  • There is a repeated assertion that analyzing segment BC requires considering the unit load, with a note that despite the differences in member lengths, the ultimate answers should align.
  • A participant asks how to determine when to apply the unit load within segments AC or CB, indicating a need for further clarification on the application of the unit load in the context of the influence line for the moment at point C.

Areas of Agreement / Disagreement

Participants express differing interpretations of the author's methodology regarding the inclusion of unit loads in moment calculations for different segments, indicating that the discussion remains unresolved with multiple competing views.

Contextual Notes

There are uncertainties regarding the assumptions made about the application of unit loads in different segments, as well as potential dependencies on the definitions used in the context of influence lines.

fonseh
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Homework Statement


http://cereference.com/book/structural-analysis/influence-lines-beams
In the example , i don't understand the moment in the part of beyond AC . I don't understand why we don't have to consider the momenty due to unit virtual load in the part beyond AC , just like what we did for section AC

Homework Equations

The Attempt at a Solution



Why shouldn't the moment equation beyond AC look same as the region within AC ? , which is Mc = -ax/L + x [/B]
 

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What the author did is evaluate the Moment when the virtual load is on segment CB. To do so, you can analyse segment AC or CB, and note in segment AC, it won't have the unit load.

If you perform the same analysis on segment BC , you will have to consider the unit load, take into consideration the different member lengths for moment calculations - but ultimately, you will get the same answer.
 
sakonpure6 said:
What the author did is evaluate the Moment when the virtual load is on segment CB. To do so, you can analyse segment AC or CB, and note in segment AC, it won't have the unit load.
Do you mean the author is evaluating the moment when the virtual load is in segment CB , so in the segment AC , it wouldnt have to include unit load ?

It seems contrary to what the author did , in photo 538 i uploaded earlier , I found that when it's within segment AC , the author still consider the unit load , while in CB ( segment beyond AC ) , the unity load is not considered ...
 
sakonpure6 said:
What the author did is evaluate the Moment when the virtual load is on segment CB. To do so, you can analyse segment AC or CB, and note in segment AC, it won't have the unit load.

If you perform the same analysis on segment BC , you will have to consider the unit load, take into consideration the different member lengths for moment calculations - but ultimately, you will get the same answer.
How do we know we need to apply the unit load within AC or CB ?
btw , the author asked for find the influence line for the moment at C ...
 

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