The rigid beam BCD is supported at B by a hinge and at C by the rod HC$,$ which has cross$-$section A and is made of a material with elastic modulus E$.$ The rod KG$,$ of cross section A and made of a material with elastic modulus E and coefficient of thermal expansion $\backslash$alpha $,$ is fixed at K in such a way that there is a small gap of length h between G and D$.$ Gravity loads are neglected. The rod KG is subjected to an increase of temperature $\backslash$Delta T$.$

a$)$ Calculate the increment of temperature $-\backslash$Delta To $-$ that just brings G in contact with D

b$)$Given the problem described in question $2$ determine the reaction force at point C$.$The rigid beam $BCD$ is supported at $B$ by a hinge and at $C$ by the rod $HC,$ which has

cross$-$section A and is made of a material with elastic modulus $E.$ The rod KG$,$ of

cross section A and made of a material with elastic modulus $E$ and coefficient of

thermal expansion $,$ is fixed at K in such a way that there is a small gap of length $h$

between $G$ and $D.$ Gravity loads are neglected. The rod KG is subjected to an

increase of temperature $T.$

a$)$ Calculate the increment of temperature $-$ To $-$ that just brings $G$ in contact with

D