What is the force at the joint C on the right beam?

In summary, the problem involves determining the force F on a joint C between a left beam of 2m and 6 kN and a right beam of 3m and 10 kN. The solution requires applying a force of 5 kN upwards on the joint and using moments to solve for F, resulting in a value of 11.43 kN. However, upon further clarification and a free body diagram, it is determined that the correct value for F is 10 kN, which can be achieved by adjusting the distance from the joint to the left beam from 1.4m to 1.6m.
  • #1
Karol
1,380
22

Homework Statement


Pay attention that the left support A is a fixed axis and the right, B, is a free moving axis. C is a joint.
The left beam (to the joint): 2m, 6[kN], the right beam: 3m, 10[kN]. What is the force F.

Homework Equations


Moments: ##M=F\cdot L##

The Attempt at a Solution


To support he right beam 5[kN] must be applied upwards on the joint. moments around A:
$$1.4\cdot F=6\cdot 1+5\cdot 2$$
$$1.4\cdot F=16\rightarrow F=11.43$$
It should be F=10
 

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  • #2
I assume C is a pinned joint?

It seems to me that there is a mechanism where joint C would need to move up in order to develop a sufficient load from the right side beam for equilibrium.

You may want clarify things and draw a free body diagram with all the reaction forces and beam lengths labeled.
 
  • #3
@Karol I get your answer.

I think you'll find that if you change that 1.4m to 1.6m your answers will all be in agreement with the book. :wink:
 
  • #4
Thanks
 

Related to What is the force at the joint C on the right beam?

What are beam supports with a joint?

Beam supports with a joint are a type of structural support commonly used in construction and engineering. It involves connecting two beams at a joint, allowing for rotation and movement between the beams.

What are the advantages of using beam supports with a joint?

One advantage of using beam supports with a joint is that it allows for flexibility and movement in the structure. This can help reduce stress and prevent cracking or failure. Additionally, it can be more cost-effective than other types of supports.

What are the different types of joints used in beam supports?

There are several types of joints that can be used in beam supports, including pinned, fixed, and semi-rigid joints. Pinned joints allow for rotation between beams, while fixed joints do not allow for any movement. Semi-rigid joints have some flexibility, but not as much as pinned joints.

How are beam supports with a joint designed?

The design of beam supports with a joint takes into account factors such as the load bearing capacity of the beams, the type of joint used, and the required level of flexibility. Engineers use mathematical equations and computer simulations to determine the best design for a specific structure.

What are some common applications of beam supports with a joint?

Beam supports with a joint are commonly used in bridges, buildings, and other large structures. They can also be used in smaller structures, such as shelves or furniture, to provide stability and flexibility.

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