A $6-$m beam is loaded with two $40$ kN load located at $2-$m away from its both ends. Given that the modulus of elasticity is $200,000$ MPa while moment of inertia is $50{10}^{6}m{m}^4,$ compute for its maximum deflection.

A$.96\mathrm{.}73$ mm

C$.36\mathrm{.}79$ mm

B$.63\mathrm{.}97$ mm

D$.30\mathrm{.}67$ mm

From the above problem please solve the needed answer for this problem.

D$.30\mathrm{.}67$mm is the correct answer. Please provide the solution to get the answer.