Fixed end moments with a beam with udl

[date.chinmay]

I came across a reference where there is a beam (lets say length L)
both ends fixed... with a UDL of say "W" per unit length... i want to know how the end moments are W L^2/12 ...shudnt they be W L^2/4??


Its pretty simple mechanics. but it got me wondering,,,,

 

[SteamKing]

In the fixed end beam, both the slope and deflection at the ends must equal zero. In a simply supported beam, there are different end conditions and the moments are typically zero, unless there is also an applied couple.

 

[date.chinmay]

nice,,,
i wondered if u cud provide a solution or a link to the actual stepwise solving of one...

 

[SteamKing]

Here is an excerpt from a Schaum's Outline of Strength of Materials (prob. 11.6):

This problem shows a beam which is partially loaded with a UDL. The technique can be used when the UDL is extended the full length of the beam.