Fixed end moments is it WL^2/12 or WL/12 ?

[mar1wan]

Homework Statement

Hello Every one, well i have a question regarding the Fixed End moments, if we had a Horozontally Fixed End supported Beam, with equally distributed load (W) on the beam, and we require the moment at the fixed Ends, which Equation would i use:

Homework Equations

1: WL²/12
2:WL/12

The Attempt at a Solution

my search did not give me a clear difference between the two, for Equation "1" this google book search :http://books.google.co.uk/books?id=...0CB4Q6AEwAw#v=onepage&q=wL/12 moment&f=false" , its a book called "Structure and architecture"
By Angus J. MacDonald page 143, and for equation "2" pretty much every thing i learned, well at least i think i did, can someone please calrify the difference,
thank you

 

[PhanthomJay]

If W is the TOTAL weight of the distributed load in force units, then M= WL/12. If w is the uniformly distributed load in units of force per unit length, then M =wL^2/12. Note that W =wL. Confirm that the units of moment must be in force time length units (Newton-meters or foot-pounds).

 

[mar1wan]

OK thanks a lot PhanthomJay, now i see how it works