so I have this beam with a distributed/increasing load

as a result the shear diagram has an increasing slope curve to it, and i can't use my normal "calculate the areas of shear and then draw BMD" method

my next thought was get shear force as a function of X distance and integrate, but i'm not sure what my constant of integration would be in this case(can I just compare to a location where I know the moment and solve for c?)

i also tried simply getting moment as a function of X, and that worked for the first 3m spam of the beam, but i'm not sure how I would approach that after 3m with the loads from the supports

any suggestions?

There is no constant of integration for a definite integral. The constant subtracts itself out. Its been forever since I took statics, what are you solving for?

Just work it normally, integrate it
If you have your shear diagram, you can get your moment diagram.

btw, you can cut it into segments and look at it from that view, adding only a Shear force to the FBD, its easier to get an equation then. So on the first diagram of three you'd look at from zero to 3 of a straight line, really easy to integrate. then keep cutting into segments and integrating those segments.

*e/ for clarity

This post was edited by manadrain on Sep 27 2014 11:02am