Deflection of L Shaped Cantilever Beam


by Wil_K
Tags: beam, cantilever, deflection, shaped
Wil_K
Wil_K is offline
#1
Apr24-12, 02:12 AM
P: 1
1. The problem statement, all variables and given/known data
I would like to know how to find the horizontal and vertical deflection of point C shown in the attached diagram. I also need to find the angle of deflection for point C.


2. Relevant equations



3. The attempt at a solution
I've already found a solution to this problem, but I'm not sure if it's correct. I figured that the vertical deflection can be found by analysing the horizontal member using: δv = ML^2/2EI. Then I replaced the moment with an equivalent point load acting at C, which gives the same deflection. Then I found the moment acting about point B as a result of the equivalent point load, and used the above formula to find the horizontal deflection of the vertical member.

For the total angle of deflection I just added the deflection angles for each section, which were found using: ∅= ML/EI = PL^2/2EI.

I have doubts that this is the correct solution, so it would be great if someone could steer me in the right direction.
Attached Thumbnails
L_beam.jpg  
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