Analyse the frame below $($Figure $2)$ using the moment distribution method.

Support A settles by $10mm$ and differential temperature is acting on the member FG$.$ Consider $E=210$

GPa for all members, $I_{AC}=I_{ED}=I_{GF}=5{10}^{8}m{m}^4,I_{BC}=I_{CD}=I_{DF}=I_{FH}=1\mathrm{.}5I_{AC}$ and coefficient of thermal

expansion, $=\frac{{10}^{-5}}{}C.$

Determine fixed end moments. $(7$ marks$)$

Determine end moments. $(5$ marks$)$

Draw bending moment diagram. $(6$ marks$)$