Problem $1$: Given these three structural loadings and resulting deflections on the simply

supported member below:

${}_B=-{0\mathrm{.}11}^{\text{'}\text{'}}$

${}_C=-{0\mathrm{.}13}^{\text{'}\text{'}}$

${}_D=-{0\mathrm{.}11}^{\text{'}\text{'}}$

${}_B=0\mathrm{.}050$

${}_C={0\mathrm{.}054}^{\text{'}\text{'}}$

${}_D=0\mathrm{.}044$

$1_B=-{1\mathrm{.}55}^{\text{'}\text{'}}$

$r_C=-{1\mathrm{.}79}^{\text{'}\text{'}}$

$r_D=-{1\mathrm{.}55}^{\text{'}\text{'}}$

Use superposition to calculate the vertical forces at B and D $(R_B$ and $R_D)$ for the structure shown

below such that the total deflection at B and D is zero. Pay attention to signs.