Problem 4.3-2

General Solutions
Reactions:\[
R_{{A}}=1/8\,{\frac {4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF}{a}};
R_{{B}}=1/8\,{\frac {12\,q{a}^{2}-4\,qab-q{b}^{2}+2\,aF}{a}}
\]
Shearing Forces:\[
Q_{{1}}=1/8\,{\frac {4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF}{a}};
Q_{{2}}=-1/8\,{\frac {-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}};
\]
\[
Q_{{3}}=-1/8\,{\frac {-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}};
Q_{{4}}=-1/8\,{\frac {8\,qza-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}}
\]
Bending Moments:\[
M_{{1}}=1/8\,{\frac { \left( 4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF \right) z}{a}};
\]
\[
M_{{2}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF+4\,q{a}^{3}-4\,q{a}^{2}b+aq{b}^{2}+6\,{a}^{2}F}{a}};
\]
\[
M_{{3}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}};
\]
\[
M_{{4}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}}.
\]