Task $4$:

A$.$ A universal steel "I" section beam is simply supported at both ends. the length of the beam is $8$ m and it carries a central point load of $25$ kN $,$ and a distributed load of $\backslash (3\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ along its whole length. The modulus of elasticity is $200$ GPa $.$

i$.$ Find slope and deflection equations.

ii$.$ Find the slope equation based on second moment of area $($I$)$ for the point of the maximum deflection.