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Re: Deflection of Cantilever Beam with Moment at Free End

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This is the deflection assuming the cantilever is fixed at its connected end. You also need to allow for rotation in the back span assuming you have a continuous member. To do this is much more complex but could easily result in much larger deflections for the cantilever, depending on the length of the back span compared to the cantilever..

At 01:47 AM 26/03/2005, you wrote:
M. David Finley, P.E. wrote:

The AISC manual conveniently gives the formula for the deflection of a cantilever beam for a concentrated load, a uniformly varying load, and a concentrated load.

However, it does not provide the case of a cantilever beam with a moment applied at the free end of the cantilever. Can anyone provide me the formula? I can get the value from my frame analysis program, but I want to be able to check it by hand.

Thanks,

David Finley




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M x L^2
_______   = deflection @ free end

   2EI

According to Roark, 6th ed, Table 3, case 3a, pg 105.

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