How to Approach Pulley Problems Using Method of Members?

In summary, the problem involves finding the reaction forces at point C and the horizontal tension in the cord connected to member AD, with the given radius of the pulley being 2ft. The equations EFy=0, EFx=0, EMc=0 are used to solve the problem, with the final answer being (5/8)W as given in the textbook. The reaction at point C has both horizontal and vertical components, while the tension in the cord connected to member AD only has a horizontal component to the left.
  • #1
iceicebaby03
4
0
Method of Members, With Pulley.

1. The radius of the pulley is 2ft.



2. Well, I don't know where to start. I know there are three equations EFy=0, EFx=0, EMc=0 but I don't know what the first member to consider and how to solve this type of problem. Especially a pulley is concerned! Please help.



3. The final answer given in the textbook is (5/8)W.. So far I'm thinking about the reaction at C. Does it has both vertical and horizontal component? And the tension cord pinned on member AD, is it only horizontal to left or does it also has a vertical component?

Thanks for those who will help!
 

Attachments

  • 4.6.19.jpg
    4.6.19.jpg
    65.2 KB · Views: 497
Last edited:
Physics news on Phys.org
  • #2


Can somebody give me a hint on the pulley?
 
  • #3
In general, the reaction at point C appears to have a horizontal and vertical component. The force of the cord on the pinned cord connection in member AD has only a horizontal component to the left.
 

FAQ: How to Approach Pulley Problems Using Method of Members?

What is the Method of Members, With Pulley?

The Method of Members, With Pulley is a structural analysis technique used to determine the internal forces and stresses within a structure that has a combination of members (such as beams and trusses) and pulleys.

How does the Method of Members, With Pulley work?

The Method of Members, With Pulley works by breaking down a complex structure into smaller, simpler components called "members". These members are then analyzed using equations of equilibrium and the concept of virtual work to determine the internal forces and stresses within the structure.

What are the advantages of using the Method of Members, With Pulley?

One advantage of using the Method of Members, With Pulley is that it is a relatively simple and straightforward technique that can be applied to a wide range of structures. It also allows for the analysis of structures with pulleys, which can introduce unique and complex forces.

What types of structures can be analyzed using the Method of Members, With Pulley?

The Method of Members, With Pulley can be applied to a variety of structures, including trusses, frames, and even simple machines such as cranes and elevators.

Are there any limitations to the Method of Members, With Pulley?

While the Method of Members, With Pulley is a powerful analysis technique, it does have some limitations. It assumes that the structure is in static equilibrium, and it does not account for dynamic or moving loads. It also may not be suitable for structures with complex geometries or non-linear behavior.

Similar threads

Engineering Problem using Pulleys with Weight in Equilibrium
Replies
11
Views
465
Engineering Determining Force and Directions on Truss with Pulley
Replies
7
Views
2K
Engineering 2nd Degree Inderteminacy for Structure Using Force Method
Replies
3
Views
546
Finding forces in members of frames
Replies
19
Views
3K
Equilibrium of a Collar and Pulley System with Spring - Free Body Diagram
Replies
25
Views
8K
Block and pulley on movable incline
Replies
2
Views
1K
Engineering Two approaches in statics not adding up
Replies
5
Views
1K
Frame Analysis Using Method of Members, Another Problem
Replies
2
Views
3K
Engineering Multi-point Boundary Value Problems Using Finite Difference Method
Replies
3
Views
827
Equilibrium of Rigid Bodies: Solving a Complex Crane Boom Problem
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top