Deflection cantilever beam

  • #1
raymanmusic
31
1

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 [Broken]


Homework Equations


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

The Attempt at a Solution


Attempt at solution: http://goo.gl/umUBkU [Broken]

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

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,809
1,670
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.
 
  • #3
nvn
Science Advisor
Homework Helper
2,128
32
raymanmusic: qx = q, not qx = q*x/L. Try again.
 
  • #4
raymanmusic
31
1
Yes, that was the mistake. I got the correct answer now: [itex]\frac{17QL^4}{384EI}[/itex]. Thank you nvn.
 

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