Moment in beam (caused by influence line)

AI Thread Summary
The discussion centers on understanding the moment calculations in beam analysis using influence lines, specifically regarding the segments AC and CB. Participants express confusion about why the moment equation beyond segment AC does not include the unit virtual load, unlike within segment AC. It is clarified that when analyzing segment CB, the unit load is not considered, while segment AC does include it. The analysis shows that despite the differences in load considerations, the final moment calculations yield the same results. The key takeaway is the importance of recognizing where to apply the unit load in different segments for accurate moment evaluation.
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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