$E=200$GPa

$I_{\text{A}\text{B}\text{C}}=113{10}^{6}m{m}^4$

Note: Use Mohr integrals

Figure $1$ For the gantry in Figure $1$:

a$)$ Determine the reactions to supports A and C$.$ Take RC as the superabundant unknown

b$)$ Trace the DET and DMF of the gantry

c$)$ Determine the reaction at C when the support C undergoes an uplift of $10$ mm$.$

d$)$ Support C is replaced by a bar, articulated at each end, $1$ m high whose rigidity

axial EA is $1600$ kN$.$ Calculate the effort in this bar.