×
INTELLIGENT WORK FORUMS
FOR ENGINEERING PROFESSIONALS

Log In

Come Join Us!

Are you an
Engineering professional?
Join Eng-Tips Forums!
  • Talk With Other Members
  • Be Notified Of Responses
    To Your Posts
  • Keyword Search
  • One-Click Access To Your
    Favorite Forums
  • Automated Signatures
    On Your Posts
  • Best Of All, It's Free!
  • Students Click Here

*Eng-Tips's functionality depends on members receiving e-mail. By joining you are opting in to receive e-mail.

Posting Guidelines

Promoting, selling, recruiting, coursework and thesis posting is forbidden.

Students Click Here

Jobs

L shaped cantilevered beam problem...

L shaped cantilevered beam problem...

L shaped cantilevered beam problem...

(OP)
Hello everyone,

I am looking for a little help with a problem I have illustrated.

http://files.engineering.com/getfile.aspx?folder=1b2c10eb-beca-469d-91f5-192fa6c8c37b&file=deflection_sketch.png

I need to figure out the deflection of this L shaped arm when a 12 kg point source is applied at its end. The beam is a hollow shaft outside diameter=0.03m and inside diameter=0.025m.

I started by assuming that the red section is cantilevered to the yellow part. Then, using the deflection formula
fmax=Wl^3/3EI, I found the deflection at the end.

However I am not sure how to proceed from here... How do I figure how the yellow part will react due to the bending moment caused by the point load?

All help is much appreciated!  

RE: L shaped cantilevered beam problem...

For vertical deflections, I'd add 2 components.  Find vertical deflection of the red section, as you have done.

Also, calculate the rotation at the top of the vertical section due to an applied moment equal to your load times the cantilever.  From that, calculate the deflection due to this rotation.  Then add the two deflections.  Sorry I don't have the formulas handy.

RE: L shaped cantilevered beam problem...

The moment is W*L at the bend.  The rotation at the top of the yellow part is WLh/EI where h is the height of the vertical leg.

So the vertical deflection at the point of load should be WL^3/3EI + WL^2h/EI
or WL^2(L/3 + h)/EI.

BA

RE: L shaped cantilevered beam problem...

(OP)
Thanks for taking time to answer my question guys! Much appreciated!

RE: L shaped cantilevered beam problem...

Your welcome MaximeMalou

desertfox

Red Flag This Post

Please let us know here why this post is inappropriate. Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework.

Red Flag Submitted

Thank you for helping keep Eng-Tips Forums free from inappropriate posts.
The Eng-Tips staff will check this out and take appropriate action.

Reply To This Thread

Posting in the Eng-Tips forums is a member-only feature.

Click Here to join Eng-Tips and talk with other members!


Resources