Multiple distributed loads on a beam

Click For Summary

Discussion Overview

The discussion revolves around the challenge of analyzing a beam subjected to multiple distributed loads, specifically in the context of constructing shear and bending moment diagrams. Participants explore methods to approach this problem, including the application of principles that may not have been covered in their coursework.

Discussion Character

  • Homework-related, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses uncertainty about how to handle both uniformly distributed and varying loads on a beam for shear and bending moment diagrams.
  • Another participant introduces the Principle of Superposition, suggesting that distributed loads can be combined algebraically point by point.
  • A different participant indicates that they were not taught the Principle of Superposition and seeks alternative methods to approach the problem.
  • One participant reiterates that the two distributed loads can still be added together algebraically point by point and suggests calculating the shear force and bending moment curves for each load separately before combining them.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the methods to apply, as there are differing views on the applicability of the Principle of Superposition and the familiarity with it among participants.

Contextual Notes

Some participants express limitations in their knowledge based on their educational background, indicating a potential gap in understanding certain principles that may be relevant to the problem.

sms22
Messages
3
Reaction score
0
Hi all, my professor has hinted at proposing a question of this sort to us for a shear and bending moment diagram. Now while I am comfortable with having [either] a uniformly distributed load or a varying one, I'm not sure how to deal with both. I can't seem to find anything in my textbook to deal with this. Any help would be appreciated. Thanks.

upload_2015-4-23_18-5-34.png
 
Engineering news on Phys.org
You've never heard of the Principle of Superposition?

http://www.engineeringwiki.org/wiki/Principle_of_Superposition

Distributed loads can be combined algebraically point by point.
 
No we were never taught that and aren't expected to know how to apply that. Is there any other way to go about this problem?
 
sms22 said:
No we were never taught that and aren't expected to know how to apply that. Is there any other way to go about this problem?
You can still add the two distributed loads together algebraically point by point.

You can do the same with the shear force and bending moment curves developed for each load: for example, calculate the shear force curve for the constant distribution and the shear force curve for the triangular distribution, then add each together algebraically point by point. Rinse and repeat for the bending moment curves.
 

Similar threads

Replies
61
Views
8K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
6
Views
4K
Replies
3
Views
5K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K