strength of formed angle

huangyhg

strength of formed angle
i have to make a formed steel angle, one leg up one leg horizontal, the vertical leg anchored into a concrete wall.  the angle has to support 2000 pounds 6" from the wall.  the angle can be made from almost any thickness and length although i would like it to be about 12" long and about 1/4" thick.  how would i calculate the stress and deflection?
| <--vertical leg
|
|    |2000 pound load
|    |
|    |
|    v
+---------- <--horizontal leg
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with the vertical leg anchored, the horizontal beam acts as a cantilever. look in roark's formulas for stress and strain for a beam built in at one end. the deflection may depend on whether or not the leg is tapered.
corus
cantileverd beam formulas i am familiar with.  that will check the flat plate,  but what about the bend itself?
hi ifrs
ifrs,
is the 2000 lb load concentrated or distributed along the entire length?
i think, the cantilever formula is okay for the plate as well as the bend you describe.
the load is distributed along the length of the angle.
i used 12000 in pounds for the moment and 12 * thickness^2 /12 for s to calculate the stress, and 18,000 psi for the allowable stress.
f=12000/(12*0.25^2/6)=96ksi
i would use a thicker plate
yes, that's what i got.  is this too conservative an analysis?  what about the bend?
the bend is a stress concentration that will give rise to a peak stress. normally you only consider this for fatigue purposes. you could consider the bend as part of a u shaped member. again look in roark for stress concentration factors for a u shaped member with a nominal bending stress.
corus