Statics question about deflection

[dp2452]

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

 

[stewartcs]

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

 

[charng]

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.