Statics question about deflection

In summary: WBFL,In summary, the conversation is about finding the deflections of points A, B, and C in a structural analysis problem. The problem involves a roller at point A, which does not have a rotational component. The speaker is stuck on how to calculate the deflections and is seeking help.
  • #1
dp2452
1
0
Hi, I just have a question about the situation present below:

http://img25.imageshack.us/img25/1409/staticstransrot.jpg

So basically the goal is to find the deflections of points A, B, and C but I'm having trouble with analyzing this. At point A, there is a roller so the force will provide a rotational and translational component since point A is not rigid.

What I thought of doing is splitting this into two parts for the rotational and translational deflections separately. So to start I found the forces within each member (EB and AD) through equilibrium then I started with the translational deflection.

Since the force is to the right, the member EB will want to stretch and AD will compress. Thus, the translational deflection of point B can be found as the summation of the absolute deflections of stretching in EB and compressing in AD.

Now here's where I'm stuck. I know that this will rotate but I'm not sure how I go about calculating deflections.

Can anyone lend a hand on solving this problem?

Thanks
 
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  • #2
dp2452 said:
Hi, I just have a question about the situation present below:

http://img25.imageshack.us/img25/1409/staticstransrot.jpg

So basically the goal is to find the deflections of points A, B, and C but I'm having trouble with analyzing this. At point A, there is a roller so the force will provide a rotational and translational component since point A is not rigid.

Although I cannot see your attachment for some reason, I would like to point out that a roller does not have a rotational component. There is only one reaction associated with a roller, a vertical reaction.

CS
 
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  • #3
for reaching out for help on this problem. It seems like you have a good understanding of the situation and have already made some progress in your analysis.

To find the deflections at points A, B, and C, you will need to use the principles of statics and mechanics of materials. First, you will need to determine the reactions at points A and C, which can be found by applying the equations of equilibrium (sum of forces and sum of moments equal to zero).

Once you have the reactions, you can use the equations of deflection for beams to calculate the deflections at points A, B, and C. This will involve using the properties of the beams (such as their length, cross-sectional area, and modulus of elasticity) and the applied forces to determine the deflections.

For the rotational deflections, you will need to use the equations of rotation for beams, which take into account the moment of inertia of the beam and the applied moments at each point.

Overall, it will involve a combination of calculations and equations, but with a good understanding of statics and mechanics of materials, you should be able to solve this problem. If you are still stuck, I recommend consulting with a professor or tutor for further guidance.
 

FAQ: Statics question about deflection

1. What is deflection in statics?

Deflection is the displacement or bending of a structural element under a load. It is a measure of how much the element deforms or moves from its original position.

2. How is deflection calculated in statics?

Deflection can be calculated using various equations and methods, depending on the type of structural element and the type of load it is subjected to. Some common methods include using the elastic modulus, moment of inertia, and the load and support conditions of the element.

3. What factors affect deflection in statics?

Several factors can affect the deflection of a structural element, including the type and magnitude of the load, the material properties of the element, its dimensions and shape, and the support conditions at its ends.

4. How does deflection impact the structural integrity of a system?

Excessive deflection can cause structural failure or compromise the stability and safety of a system. It can also affect the performance and functionality of the system, especially in cases where precision and accuracy are crucial.

5. What are some practical applications of deflection in statics?

Deflection calculations are essential in designing and analyzing various structural systems, such as bridges, buildings, and machines. It is also used in engineering and construction projects to ensure the safety and stability of structures under different load conditions.

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