RAx = 0
RAy + REy = L
REy = 1/2 L
RAx - AB - AK cos a = 0
RAy - AK sin a = 0
AB + BK cos d - BH cos d - BC = 0
BK sin d + BH sin d = -1/3 L
BC + CJ cos d - CG cos d - CD = 0
CJ sin d + CG sin d = -1/3 L
CD + ID cos d - DF cos d - DE = 0
ID sin d + DF sin d = -1/3 L
DE + FE cos a = 0
REy - FE sin a = 0
DF cos d + GF cos b - EF cos a = 0
DF sin d - GF sin b + EF sin a = 0
CG cos d + GH cos c - FG cos b = 0
CG sin d - GH sin c + FG sin b = 0
IH + BH cos d - HG cos c = 0
# BH sin d + HG sin c = 0
# IJ cos c - ID cos d - IH = 0
JI sin c + ID sin d = 0
# JK cos b - CJ cos d - IJ cos c = 0
AK cos a - BK cos d - JK cos b = 0

order: RAx RAy REy AB BC CD DE EF FG GH HI IJ JK KA BK CJ DI BH CG DF

map: cos a = Ca
map: cos b = Cb
map: cos c = Cc
map: cos d = Cd
map: sin a = Sa
map: sin b = Sb
map: sin c = Sc
map: sin d = Sd

map: -1/3 L = -(1/3)*load
map: 1/2 L = (1/2)*load
map: L = load
map: matrix = Coef