Multiple distributed loads on a beam

In summary, the conversation discusses the use of the Principle of Superposition in solving problems involving shear and bending moment diagrams with both uniformly distributed and varying loads. It is suggested to combine the loads algebraically point by point and then repeat this process for the shear force and bending moment curves.
  • #1
sms22
3
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
  • #2
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.
 
  • #3
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?
 
  • #4
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.
 

1. What is a distributed load on a beam?

A distributed load on a beam is a type of external force that is applied across the entire length of the beam, rather than at a single point. This load can be represented by a series of smaller loads that are evenly spread out along the beam's length.

2. How does a distributed load affect the structural integrity of a beam?

A distributed load can cause bending, shear, and deflection in a beam, which can impact its structural integrity. The magnitude and distribution of the load, as well as the properties of the beam, will determine the extent of the impact on the beam's strength and stability.

3. What is the difference between a uniformly distributed load and a non-uniformly distributed load?

A uniformly distributed load is one where the load is evenly spread out along the length of the beam, whereas a non-uniformly distributed load is one where the load is not evenly distributed. Non-uniformly distributed loads can have varying magnitudes and distributions along the beam's length.

4. How do I calculate the reactions and deflections of a beam with multiple distributed loads?

To calculate the reactions and deflections of a beam with multiple distributed loads, you will need to use equations and principles of structural analysis, such as the principle of superposition and the equations for shear force and bending moment. It is recommended to use a software or consult a structural engineer for accurate and efficient calculations.

5. Can a beam withstand multiple distributed loads without failing?

It depends on the magnitude and distribution of the loads, as well as the strength and properties of the beam. In some cases, a beam may be able to withstand multiple distributed loads without failing, while in others it may require additional support or reinforcement to prevent failure. A thorough structural analysis is necessary to determine the beam's capacity and potential failure points.

Similar threads

Replies
61
Views
6K
Replies
5
Views
4K
Replies
6
Views
805
  • Engineering and Comp Sci Homework Help
Replies
4
Views
74
  • Mechanical Engineering
Replies
4
Views
2K
Replies
7
Views
1K
Replies
3
Views
3K
Replies
11
Views
2K
  • Mechanical Engineering
Replies
1
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
928
Back
Top