Why Is the Maximum Moment Under the 1.5k Load in Beam Analysis?

Click For Summary

Discussion Overview

The discussion revolves around the analysis of maximum moment in a beam under various loads, specifically focusing on why the maximum moment is considered to occur under a 1.5k load. Participants explore the reasoning behind selecting specific loads for analysis and the implications of making imaginary cuts in the beam.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants question why only the 2k and 1.5k loads are considered when analyzing the maximum moment, suggesting that all loads, including the 1k load, should be included.
  • Others clarify that the 4.5k load is the resultant of applied loads and should not be double counted in the moment calculation.
  • There is a suggestion that the maximum moment is assumed to occur under the 1.5k load, prompting questions about the rationale behind this assumption.
  • Some participants propose that the best method to determine the maximum moment and shear is to draw shear and moment diagrams.
  • Concerns are raised about the lack of calculations for the 1k load and why it was not checked for maximum moment, with some arguing that it is not near the resultant location.

Areas of Agreement / Disagreement

Participants express differing views on which loads should be considered in the moment analysis and the reasoning behind the assumption that the maximum moment occurs under the 1.5k load. The discussion remains unresolved regarding the best approach to determining the maximum moment.

Contextual Notes

Participants highlight the importance of understanding the locations of concentrated loads and their influence on the maximum moment, as well as the potential for confusion regarding the application of resultant forces.

fonseh
Messages
521
Reaction score
2

Homework Statement


For the maximum moment occur under the 1.5k load , why when we consider the left part of the beam, we just need to consider the forces 2k and 1.5k only ?

Homework Equations

The Attempt at a Solution


How about FR = 4.5k and also the 1k ?
Cant i just consider all of them ? That's means i make an iamginary cut after the 1k load ...
 

Attachments

  • 547.jpg
    547.jpg
    36.3 KB · Views: 584
  • 548.jpg
    548.jpg
    24.1 KB · Views: 588
Physics news on Phys.org
fonseh said:

Homework Statement


For the maximum moment occur under the 1.5k load , why when we consider the left part of the beam, we just need to consider the forces 2k and 1.5k only ?
if you look carefully, those are not the forces used when making an imaginary cut
of the left section at a plane just left of the 1.5k load, which is the assumed location of the absolute maximum moment.

Homework Equations

3. The attempt at a
How about FR = 4.5k and also the 1k ?
the 4.5k load is the resultant sum of the applied loads, so you must not double count these loads.
Cant i just consider all of them ? That's means i make an iamginary cut aftr the 1k load ...
but a cut after the 1k load is not the point of absolute maximum moment.

The best way in my opinion to determine the magnitude and location of the absolute maximum moment and shear is to draw a shear and moment diagram.
 
  • Like
Likes   Reactions: fonseh
PhanthomJay said:
if you look carefully, those are not the forces used when making an imaginary cut
of the left section at a plane just left of the 1.5k load, which is the assumed location of the absolute maximum moment.
do you mean we just need to make an imaginary cut up to 1.5 k because the author assume the max moment will occur under the 1.5k load ?
 
fonseh said:
do you mean we just need to make an imaginary cut up to 1.5 k because the author assume the max moment will occur under the 1.5k load ?
yes
 
  • Like
Likes   Reactions: fonseh
PhanthomJay said:
but a cut after the 1k load is not the point of absolute maximum moment.

The best way in my opinion to determine the magnitude and location of the absolute maximum moment and shear is to draw a shear and moment diagram.
Actually how did the author know that the absolute max moment occur under the 1.5k load ? why not the 1k load or 2k load ? Why did the author didnt show the calculation for the 1k load ?
 
fonseh said:
Actually how did the author know that the absolute max moment occur under the 1.5k load ? why not the 1k load or 2k load ? Why did the author didnt show the calculation for the 1k load ?
Author did not know. The point of max moment occurs under one of the concentrated loads near the resultant location. The author had to check both the 1.5 and 2k load locations to find out which controlled for max moment. The moment at the 1k load point did not have to be checked because it was not near the resultant.
 
  • Like
Likes   Reactions: fonseh

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
12K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
10K
  • · Replies 8 ·
Replies
8
Views
10K
Replies
8
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K