How Do You Derive the Bending Moment Distribution for a Beam?

[Sahdev]

Homework Statement

Derive the bending moment distribution of the beam:

Homework Equations

The Attempt at a Solution

I end up with something like this:

Im abit concerned with the profile, should it taper to zero? Any thoughts?

Thanks

 

[SteamKing]

Did you draw a free body diagram of this beam? Did you construct a proper shear force curve? Do these things and you will arrive at the correct bending moment curve.

 

[PhanthomJay]

Moment should be zero at free end.

 

[Sahdev]

Yes I did by making a cut in the beam. I'll post up my equations

 

[Sahdev]

 

[Sahdev]

If anyone's interested, I simply forgot to subtract q2 from the q1 terms in the expression