How to Calculate Midspan Deflection of a Cantilever Beam with Uniform Load?

[raymanmusic]

Homework Statement

How do I find an expression for the deflection at midspan for a cantilever beam loaded with a uniformly distributed load?

Illustration of beam: http://goo.gl/3SxeVZ

Homework Equations

\delta = \frac{Qx^2}{24EI}(6L^2-4Lx+x^2)

The Attempt at a Solution

Attempt at solution: http://goo.gl/umUBkU

My current answer is: \frac{49QL^4}{1280EI}, I think this is wrong. Putting x = \frac{L}{2} in the elastic curve formula I get: \frac{17QL^4}{384EI}, I think this is the correct answer.

 

[SteamKing]

You can always check your formula for the deflection by setting x = L and seeing if your result is the same as that from a beam table.

 

[nvn]

raymanmusic: qx = q, not qx = q*x/L. Try again.

 

[raymanmusic]

Yes, that was the mistake. I got the correct answer now: \frac{17QL^4}{384EI}. Thank you nvn.