Writing shear and moment equations for a simple beam problem?

[rtrux4]

Homework Statement

Analyze a simple beam writing out the integrals in mathcad.

Length: 20ft (L)
Distance to Reaction: 12ft (B)
Distance to Distributed Load: 0ft
Distributed Load: 273.33 lb/ft (w)

Homework Equations

V=r1-w(L-0)+r2=0
M=r1*L-w/2*(L-0)^2+r2*(L-B)=0
r1:=1/B*[w/2*(L-0)^2-w*(L-0)*(L-B)]
r2:=w*(L-0)-r1

The Attempt at a Solution

I having issues with units or something. But would also like to know if I am on the right track.

 

[lippyka]

V=r1-w(L-0)+r2=0r1:=1/B*[w/2*(L-0)^2-w*(L-0)*(L-B)]r2:=w*(L-0)-r1V=1/12*[273.33/2*20^2-273.33*20*(20-12)]-273.33*20+273.33*20-1/12*[273.33/2*20^2-273.33*20*(20-12)]V=2066.67 lbM=r1*L-w/2*(L-0)^2+r2*(L-B)=0M=1/12*[273.33/2*20^2-273.33*20*(20-12)]*20-273.33/2*20^2+273.33*20-1/12*[273.33/2*20^2-273.33*20*(20-12)]*(20-12)M=12320 lb-ft