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.eng ineering.c om/getfile .aspx?fold er=1b2c10e b-beca-469 d-91f5-192 fa6c8c37b& amp;file=d eflection_ 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!
I am looking for a little help with a problem I have illustrated.
http:/
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...
Have a look at my solution however this is only for the vertical deflection, a similar calculation needs to be done to find the horizontal deflection.
desertfox
RE: L shaped cantilevered beam problem...
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...
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...
RE: L shaped cantilevered beam problem...
desertfox