A simply supported $1\mathrm{.}53\mathrm{.}5($actual dimension$)$ beam spans $10$ feet and has a uniformly distributed load of $10lbs./$ft$.$ The beam is made of Larch $($Young$\text{'}$s Modulus $=1\mathrm{.}87{10}^6$PSI $).$

Calculate the maximum deflection.

${}_{\text{m}\text{a}\text{x}}(at$ center $),.....=\frac{5w{l}^4}{384EI}$