$(6$ pts$)$

$3.$ You are using the force method to solve for the reactions of this statically indeterminate beam with loading shown. EI is constant for this beam.

You use the primary set ol structures shown here:

Structure I

Structure II

Using the Moments, Slopes and Deflection tables from the text, you calculate the deflections at point C for each structure and find the following:

$y_{C-\text{I}}=\frac{-32,171\mathrm{.}1(k-f{t}^3)}{EI},y_{C-II}=\frac{+(948\mathrm{.}1f{t}^3)R_C}{EI}$

Determine the magnitude and direction of $R_c.$