Quesion on Equilibrium of coplanar force

In summary, the conversation discusses solving a question involving a non-uniform udl on a beam and converting it to a udl of 2kips/ft. The participants recommend working out the reaction and load using areas and solving it as a concentrated force problem, without the need for calculus. One participant also mentions using calculus to find the moment. Another participant thanks for the help in simplifying the problem.
  • #1
sunnywho
2
0
I having diffculty trying to sovle this Question: Determine the reaction components at the supports of the beam due to the distribted shown
 

Attachments

  • question(a).jpg
    question(a).jpg
    9.7 KB · Views: 442
Physics news on Phys.org
  • #2
You have a non-uniform udl from A to B.
Convert it to a udl of 2kips/ft from A to B with a non-uniform udl from A to the half-way point, ranging from 2 kips/ft down to 0, on top of it.
You should be able to work out the reaction/load and moment, about the point A, from the uniform udl.
Work out the reaction/load and moment, also about A, of the non-uniform udl.
 
Last edited:
  • #3
Fermat you could use calculus, but it's not necessary, simply work out the areas, for the first, work it as a triangle and rectangle. Remember the area of distributed will give you the magnitude of the concentrated force from A to the middle and for the distributed force from the middle to C. Remember the forces will act on the centroid of the figures, then solve it like a concentrated force problem.
 
  • #4
I didn't need calculus for the load of the non-uniform udl, but used it to work out the moment. It must be about 30 yrs since I did this stuff! Thanks for the update.
Sorry about that Sunnywho, and Cyclovenom has just simplified your problem.
 
  • #5
thanks...for the help
 

1. What is equilibrium of coplanar force?

Equilibrium of coplanar force refers to a state in which all the forces acting on an object are balanced, resulting in a net force of zero. This means that the object will remain at rest or continue moving at a constant velocity in a straight line.

2. How do you determine if an object is in equilibrium of coplanar force?

An object is in equilibrium of coplanar force if the sum of all the forces acting on it in any direction is equal to zero. This can be determined by using the principles of vector addition and resolving forces into their components.

3. Can an object be in equilibrium of coplanar force if it is accelerating?

No, an object cannot be in equilibrium of coplanar force if it is accelerating. This is because acceleration is caused by an unbalanced force, which means there is a net force acting on the object and it is not in equilibrium.

4. What is the difference between static and dynamic equilibrium of coplanar force?

Static equilibrium of coplanar force refers to a state in which an object is at rest or moving at a constant velocity, while dynamic equilibrium refers to a state in which the object is moving at a constant velocity but with a changing direction. In both cases, the net force acting on the object is zero.

5. How is equilibrium of coplanar force related to Newton's laws of motion?

Equilibrium of coplanar force is directly related to Newton's first law of motion, also known as the law of inertia. This law states that an object will remain at rest or in motion at a constant velocity unless acted upon by an unbalanced force. In equilibrium, there is no net force acting on the object, so it will continue to maintain its state of motion.

Similar threads

  • Advanced Physics Homework Help
2
Replies
69
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
888
  • Special and General Relativity
Replies
2
Views
511
  • Engineering and Comp Sci Homework Help
Replies
6
Views
814
  • Advanced Physics Homework Help
Replies
1
Views
2K
Replies
5
Views
789
Replies
17
Views
610
  • Introductory Physics Homework Help
Replies
1
Views
176
  • Engineering and Comp Sci Homework Help
Replies
1
Views
934
  • Advanced Physics Homework Help
Replies
3
Views
3K
Back
Top